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arxiv_0000001
Figure 1
scientific_figure
A Primal-Dual Framework for Transformers and Neural Networks
arXiv Research Authors
2406.13781v1
cs
2024
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2024). A Primal-Dual Framework for Transformers and Neural Networks. arXiv:2406.13781v1
Figure 1: (Left) FLOPS ratios and (Right) memory usage ratios between the Attention-BN+SH and the softmax baseline trained on retrieval task for different model dimensions and sequence lengths. The reduction in computation and memory when using our models improves with sequence length. When scaling up the model, our me...
A diagram of a series of different.
A detailed layout showing the differences between sequence length and distance of a training course or testimore.
A comprehensive technical explanation of the difference between a training and sequence length of each exercise, using the same method as described by the figure below, and the data in the table below, 1 / 2 / 3 / 6 / 4.
Figure 1: (Left) FLOPS ratios and (Right) memory usage ratios between the Attention-BN+SH and the softmax baseline trained on retrieval task for different model dimensions and sequence lengths. The reduction in computation and memory when using our models improves with sequence length. When scaling up the model, our me...
0.81
0.3181
0.5641
1,920
960
2
74ca7c78a79ad2c717fd16b17f6ce8de
images/2024/arxiv_0000001.png
https://arxiv.org/pdf/2406.13781v1.pdf
arxiv_0000002
Figure 2
scientific_figure
A Primal-Dual Framework for Transformers and Neural Networks
arXiv Research Authors
2406.13781v1
cs
2024
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2024). A Primal-Dual Framework for Transformers and Neural Networks. arXiv:2406.13781v1
Figure 1: (Left) FLOPS ratios and (Right) memory usage ratios between the Attention-BN+SH and the softmax baseline trained on retrieval task for different model dimensions and sequence lengths. The reduction in computation and memory when using our models improves with sequence length. When scaling up the model, our me...
A diagram of the number of different.
A detailed layout showing the different stages of the cell phone ' s battery lifecycle from 1900 to 2000.
A comprehensive technical explanation of the different types of the cell phone ' s battery lifecycle from the first to the second generation of cellular phones, including the new and older models, 1970 - 2012 and present in the first half.
Figure 1: (Left) FLOPS ratios and (Right) memory usage ratios between the Attention-BN+SH and the softmax baseline trained on retrieval task for different model dimensions and sequence lengths. The reduction in computation and memory when using our models improves with sequence length. When scaling up the model, our me...
0.725
0.2113
0.4681
714
201
3.552
8edc6d8b507203cde72be8aca4cee9db
images/2024/arxiv_0000002.png
https://arxiv.org/pdf/2406.13781v1.pdf
arxiv_0000003
Figure 3
scientific_figure
A Primal-Dual Framework for Transformers and Neural Networks
arXiv Research Authors
2406.13781v1
cs
2024
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2024). A Primal-Dual Framework for Transformers and Neural Networks. arXiv:2406.13781v1
Figure 2: (Left) FLOPS ratios and (Right) memory usage ratios between the Attention-SH and the softmax attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths.
A diagram of the stages in testing and.
A detailed layout showing the differences between the sequence length and the training time for a dog, and the distance of the training.
A comprehensive technical explanation of the two basic training curves for the b - testing and sequence lengths of each one source image from the department of the university of applied materials of engineering, 2013 / eocnepto /.
Figure 2: (Left) FLOPS ratios and (Right) memory usage ratios between the Attention-SH and the softmax attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths.
0.81
0.3023
0.5562
1,920
960
2
dd7dd292bbe0e10ea6db12d7aaf40bea
images/2024/arxiv_0000003.png
https://arxiv.org/pdf/2406.13781v1.pdf
arxiv_0000004
Figure 4
scientific_figure
A Primal-Dual Framework for Transformers and Neural Networks
arXiv Research Authors
2406.13781v1
cs
2024
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2024). A Primal-Dual Framework for Transformers and Neural Networks. arXiv:2406.13781v1
Figure 3: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-BN+SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When sca...
A diagram of the different stages of a.
A detailed layout showing the differences between sequence length and training time in the training system, with a single line graph.
A comprehensive technical explanation of the sequence length and training of a dog ' s teeth and teeth, with their corresponding corresponding lengths and the same length as shown below diagram in the following data graph above the chart below each.
Figure 3: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-BN+SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When sca...
0.87
0.3135
0.5917
1,920
960
2
e9b8091a6b5ce7d36a569ad03198035a
images/2024/arxiv_0000004.png
https://arxiv.org/pdf/2406.13781v1.pdf
arxiv_0000005
Figure 5
scientific_figure
A Primal-Dual Framework for Transformers and Neural Networks
arXiv Research Authors
2406.13781v1
cs
2024
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2024). A Primal-Dual Framework for Transformers and Neural Networks. arXiv:2406.13781v1
Figure 4: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When scalin...
A diagram of the different stages of a.
A detailed layout showing the differences between a training and sequence length of the results in a single file.
A comprehensive technical explanation of the sequence length and distance of a training course for a specific course, and a specific training course, as described by the following the data file file from the data source to the data editor ' s.
Figure 4: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When scalin...
0.87
0.319
0.5945
1,920
960
2
30ed925affa7bab4353c8b3a900f5be4
images/2024/arxiv_0000005.png
https://arxiv.org/pdf/2406.13781v1.pdf
arxiv_0000006
Figure 6
scientific_figure
A Primal-Dual Framework for Transformers and Neural Networks
arXiv Research Authors
2406.13781v1
cs
2024
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2024). A Primal-Dual Framework for Transformers and Neural Networks. arXiv:2406.13781v1
Figure 3: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-BN+SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When sca...
A diagram of the differences between.
A detailed layout showing the differences between the sequence length and the training time for each of the two teams.
A comprehensive technical explanation of the sequence length and technique used in this training course, including the following steps for each step, with the following one line graphed up at the same time of the following stages at the teste.
Figure 3: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-BN+SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When sca...
0.81
0.2885
0.5493
1,920
960
2
7d412f7765289b832b4c272efe6e722e
images/2024/arxiv_0000006.png
https://arxiv.org/pdf/2406.13781v1.pdf
arxiv_0000007
Figure 7
scientific_figure
A Primal-Dual Framework for Transformers and Neural Networks
arXiv Research Authors
2406.13781v1
cs
2024
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2024). A Primal-Dual Framework for Transformers and Neural Networks. arXiv:2406.13781v1
Figure 4: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When scalin...
A diagram of the sequence length and.
A detailed layout showing the difference of a training and sequence length for each course, and the same number of training.
A comprehensive technical explanation of the sequence length and training of a dog using a computer screen, and a graphed line graph on a white background with data from the same time and the same height as shown in each line,.
Figure 4: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When scalin...
0.81
0.2759
0.543
1,920
960
2
ffb613e48d3e31fd0453e2efcf94c8cc
images/2024/arxiv_0000007.png
https://arxiv.org/pdf/2406.13781v1.pdf
arxiv_0000008
Figure 8
scientific_figure
A Primal-Dual Framework for Transformers and Neural Networks
arXiv Research Authors
2406.13781v1
cs
2024
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2024). A Primal-Dual Framework for Transformers and Neural Networks. arXiv:2406.13781v1
Figure 2: (Left) FLOPS ratios and (Right) memory usage ratios between the Attention-SH and the softmax attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths.
A diagram of different types of the.
A detailed layout showing the different levels of the light intensity of the leds and their corresponding brightness.
A comprehensive technical explanation of the different types of the data processing system for each type of machine, from 1 to 8 years old and up to 7 years old, in the same stages of development, with the same time,.
Figure 2: (Left) FLOPS ratios and (Right) memory usage ratios between the Attention-SH and the softmax attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths.
0.75
0.2171
0.4835
754
212
3.557
478ea0df619f7cc792cd3d761ef4e25e
images/2024/arxiv_0000008.png
https://arxiv.org/pdf/2406.13781v1.pdf
arxiv_0000009
Figure 9
scientific_figure
A Primal-Dual Framework for Transformers and Neural Networks
arXiv Research Authors
2406.13781v1
cs
2024
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2024). A Primal-Dual Framework for Transformers and Neural Networks. arXiv:2406.13781v1
Figure 3: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-BN+SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When sca...
A diagram of the different stages of.
A detailed layout showing the number of training steps for each type of trainer at different stages of training.
A comprehensive technical explanation of the different levels of training and training for each individual person in a sports team, including a running coach, a squaturic, a training, a squashing, and a - kayaking,.
Figure 3: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-BN+SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When sca...
0.81
0.221
0.5155
754
200
3.77
37bc31f53271d3253df5cd92bd7f870b
images/2024/arxiv_0000009.png
https://arxiv.org/pdf/2406.13781v1.pdf
arxiv_0000010
Figure 10
scientific_figure
A Primal-Dual Framework for Transformers and Neural Networks
arXiv Research Authors
2406.13781v1
cs
2024
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2024). A Primal-Dual Framework for Transformers and Neural Networks. arXiv:2406.13781v1
Figure 4: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When scalin...
A diagram of the stages of a cell.
A detailed layout showing the different stages of a proteining process, including the different levels of protein.
A comprehensive technical explanation of the different levels of heat in the world ' s most radioactive - like substances for the first time, and how much is that it actually changed??? - - - based on - page - page.
Figure 4: (Left) FLOPS ratios and (Right) memory usage ratios between the Sparse Attention-SH and the Sparse Attention baseline trained on the LRA retrieval task for different model dimensions and sequence lengths. When using our models, the reduction in computation and memory improves with sequence length. When scalin...
0.75
0.2323
0.4911
754
204
3.696
581e4eef55dcfa64e765158cfacc090e
images/2024/arxiv_0000010.png
https://arxiv.org/pdf/2406.13781v1.pdf
arxiv_0000011
Figure 11
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figures and captions
A diagram of the process for a camera.
A detailed layout showing the various components of a laser machine and its equipment, including the main parts.
A comprehensive technical explanation of a micro - laser system for the use of a microscope and other instruments, including a small camera, a microscope, and a computer and a large screen monitor and a microscope are shown in the same.
Figures and captions
0.75
0.2861
0.5181
1,349
1,461
0.923
3b4f4e6cc81e93c3d0010f11f68b04d5
images/2025/arxiv_0000011.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000012
Figure 12
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 1. (a) Schematic layout: Overview of the snapshot multi-spectral imaging system, illustrating the arrangement of the circular LED array, Digital Micromirror Device (DMD), optical components (collimator, diffuser, lenses), and the monochrome imaging camera. (b) Experimental set-up.
A diagram of a camera and a computer.
A detailed layout showing the components of a robotic arm and equipment for the project, including a camera.
A comprehensive technical explanation of a large scale laser machine, with its components labeled and labelled in english and english, for the use of engineers and technicianss to study the area of their needs on the market and customers.
Figure 1. (a) Schematic layout: Overview of the snapshot multi-spectral imaging system, illustrating the arrangement of the circular LED array, Digital Micromirror Device (DMD), optical components (collimator, diffuser, lenses), and the monochrome imaging camera. (b) Experimental set-up.
0.7357
0.3655
0.5506
1,224
1,155
1.06
4fef3b79b0d4553799783caf67825617
images/2025/arxiv_0000012.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000013
Figure 13
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 2. (a-b) Visualizations of image reconstruction results of two test image patterns illuminated under different wavelengths. Each column refers to an image with the monochrome defocused sensor input, network output and multi-spectral target (ground truth). Pseudo colors represent the corresponding illumination...
A diagram of various colors of.
A detailed layout showing different color schemes of the same pattern in various colors, including red, green, blue, and yellow.
A comprehensive technical explanation of the different color combinations of the multi - colored samples in the image below, from the first to the next two years of this time of the year, and then the same period, the same time.
Figure 2. (a-b) Visualizations of image reconstruction results of two test image patterns illuminated under different wavelengths. Each column refers to an image with the monochrome defocused sensor input, network output and multi-spectral target (ground truth). Pseudo colors represent the corresponding illumination...
0.75
0.2312
0.4906
1,371
1,106
1.24
eaed630072830ba41f5d086ac64eaf9a
images/2025/arxiv_0000013.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000014
Figure 14
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 2. (a-b) Visualizations of image reconstruction results of two test image patterns illuminated under different wavelengths. Each column refers to an image with the monochrome defocused sensor input, network output and multi-spectral target (ground truth). Pseudo colors represent the corresponding illumination...
A diagram of the different color.
A detailed layout showing the different color variations of each cell phone, in different colors and sizes,.
A comprehensive technical explanation of the multicolored structure of the cell membranes of the human and verteopia of the cellular cell membrane - based on this sample, weltronomic model is shown below the image.
Figure 2. (a-b) Visualizations of image reconstruction results of two test image patterns illuminated under different wavelengths. Each column refers to an image with the monochrome defocused sensor input, network output and multi-spectral target (ground truth). Pseudo colors represent the corresponding illumination...
0.7357
0.242
0.4889
1,018
823
1.237
bbfe75c8b96da20c04731d6389948e97
images/2025/arxiv_0000014.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000015
Figure 15
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 3. Visualization of image reconstruction results under various illumination configurations. Each column displays the predicted image alongside the corresponding target (ground truth) image for different combinations of activated LEDs that were on.
A diagram of the different types of.
A detailed layout showing the different properties of the structure of the cell phone, including the signal and the signal.
A comprehensive technical explanation of the different types of light in a photograph of a multicolored background, with the following colors and the same number of light that is visible in the image, and red, black, red,.
Figure 3. Visualization of image reconstruction results under various illumination configurations. Each column displays the predicted image alongside the corresponding target (ground truth) image for different combinations of activated LEDs that were on.
0.75
0.269
0.5095
1,440
941
1.53
88c02e349f7ae008c22f13324ce7dbaf
images/2025/arxiv_0000015.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000016
Figure 16
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 3. Visualization of image reconstruction results under various illumination configurations. Each column displays the predicted image alongside the corresponding target (ground truth) image for different combinations of activated LEDs that were on.
A diagram of the different colors of a.
A detailed layout showing the different effects of different colors in the image and how they are used to create them.
A comprehensive technical explanation of the different effects of color in photoshopped images, from a series of images with varying color schemes, to a series with the same image and texture and size, each color scheme, each.
Figure 3. Visualization of image reconstruction results under various illumination configurations. Each column displays the predicted image alongside the corresponding target (ground truth) image for different combinations of activated LEDs that were on.
0.75
0.3012
0.5256
937
620
1.511
aca53fa72a09f79a2c151051556dc5c4
images/2025/arxiv_0000016.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000017
Figure 17
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 4. Image reconstruction performance analysis. (a) Confusion matrix of spectral channel accuracy. (b) Classification metrics against the number of concurrent LED illuminations: Plots of sensitivity, specificity, and F1 score against the number of concurrent LED illuminations. (c) Energy difference values as a ...
A diagram of the different types of.
A detailed layout showing the effects of the different types of energy in the environment and how it affects.
A comprehensive technical explanation of the different effects of different types of energy in a system that is not very efficient, and the results are very attractive to us $ 3, $ 5, 000, 000 / $ 1, 000.
Figure 4. Image reconstruction performance analysis. (a) Confusion matrix of spectral channel accuracy. (b) Classification metrics against the number of concurrent LED illuminations: Plots of sensitivity, specificity, and F1 score against the number of concurrent LED illuminations. (c) Energy difference values as a ...
0.7393
0.2537
0.4965
1,440
1,235
1.166
359fed75205db9382f5268b5bfd69771
images/2025/arxiv_0000017.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000018
Figure 18
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 4. Image reconstruction performance analysis. (a) Confusion matrix of spectral channel accuracy. (b) Classification metrics against the number of concurrent LED illuminations: Plots of sensitivity, specificity, and F1 score against the number of concurrent LED illuminations. (c) Energy difference values as a ...
A diagram of the different types of.
A detailed layout showing the different types of energy that are present in the same region of the earth.
A comprehensive technical explanation of the energy and energy - generating process in the environment of a city, including energy - efficient buildings, solar - powered buildings, and wind - driven - driven systems, and - driven power - off -.
Figure 4. Image reconstruction performance analysis. (a) Confusion matrix of spectral channel accuracy. (b) Classification metrics against the number of concurrent LED illuminations: Plots of sensitivity, specificity, and F1 score against the number of concurrent LED illuminations. (c) Energy difference values as a ...
0.725
0.2157
0.4703
974
833
1.169
692a32725c8ac88e9714e74741cfeb61
images/2025/arxiv_0000018.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000019
Figure 19
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 5. Distributions of (a) PSNR, (b) RMSE, (c) SSIM and (d) NMSE metrics for the reconstructed images at different illumination wavelengths.
A diagram of the distribution of water.
A detailed layout showing the mean of the weight of each individual figure, from different data points to a number of different measurements.
A comprehensive technical explanation of the hypothe - and - weight distribution for different types of water, including the following three phases of the cycle of the process and the process of the hydro cycle, the process,.
Figure 5. Distributions of (a) PSNR, (b) RMSE, (c) SSIM and (d) NMSE metrics for the reconstructed images at different illumination wavelengths.
0.81
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0.5392
1,371
789
1.738
8c075c515dee190e59857e8224a38bd4
images/2025/arxiv_0000019.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000020
Figure 20
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 5. Distributions of (a) PSNR, (b) RMSE, (c) SSIM and (d) NMSE metrics for the reconstructed images at different illumination wavelengths.
A diagram of the different phases of a.
A detailed layout showing different types of the scatters and patterns for different areas in the region.
A comprehensive technical explanation of the glycolized datasete using the rx - 3 and rxp - 2 algorithms and rp - 4 - 6f - 6 - 5 - biting functions representing all details, specifications, and configurations of the system components in full.
Figure 5. Distributions of (a) PSNR, (b) RMSE, (c) SSIM and (d) NMSE metrics for the reconstructed images at different illumination wavelengths.
0.725
0.231
0.478
957
550
1.74
4d39a18ad8be903db5d87b7c24ed1f27
images/2025/arxiv_0000020.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000021
Figure 21
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 6. (a) Distributions of structural quality metrics for the reconstructed multi-spectral images with respect to the number of concurrent LED illuminations. (b) Confusion matrices with different numbers of concurrent LED illuminations.
A diagram of the number of people who.
A detailed layout showing the number of individual and individual patients in each hospital room, including a number of different.
A comprehensive technical explanation of the different types of water in the world ' s oceans and oceans, including the number of lakes, land, and land surface areas, and water, from sea level to sea level, and area.
Figure 6. (a) Distributions of structural quality metrics for the reconstructed multi-spectral images with respect to the number of concurrent LED illuminations. (b) Confusion matrices with different numbers of concurrent LED illuminations.
0.75
0.2607
0.5053
1,371
1,465
0.936
4e072d790924a09b959dc272d431b47d
images/2025/arxiv_0000021.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000022
Figure 22
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 6. (a) Distributions of structural quality metrics for the reconstructed multi-spectral images with respect to the number of concurrent LED illuminations. (b) Confusion matrices with different numbers of concurrent LED illuminations.
A diagram of the number and type of.
A detailed layout showing the number of different types of cell phone phones, with the same number of cellular phones.
A comprehensive technical explanation of the results of the four different stages of the experiment in the following diagrams, with the following results of each one in the previous model image and the following steps on the next slide below slides.
Figure 6. (a) Distributions of structural quality metrics for the reconstructed multi-spectral images with respect to the number of concurrent LED illuminations. (b) Confusion matrices with different numbers of concurrent LED illuminations.
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957
992
0.965
92f63691f0cb4daeb06259f7123ef76c
images/2025/arxiv_0000022.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000023
Figure 23
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 7. Network architecture. (a) Multi-spectral Fourier Imager Network (mFIN). (b) Dense links: each output tensor of the dSPAF group is appended and fed to the subsequent one. (c) Detailed schematic of dSPAF modules. See the Methods section for details.
A diagram of the process of the.
A detailed layout showing the process of the application for a remote control system with different functions and processes.
A comprehensive technical explanation of the application of an aspx / gdsm - based system for a remote access network in a remote area of a remote control system, with remote access and remote control systems, from a remote.
Figure 7. Network architecture. (a) Multi-spectral Fourier Imager Network (mFIN). (b) Dense links: each output tensor of the dSPAF group is appended and fed to the subsequent one. (c) Detailed schematic of dSPAF modules. See the Methods section for details.
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0.5
1,440
667
2.159
f9b32c7898a536895feffca4d41f82eb
images/2025/arxiv_0000023.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000024
Figure 24
scientific_figure
Snapshot multi-spectral imaging through defocusing and a Fourier imager network
arXiv Research Authors
2501.14287v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Snapshot multi-spectral imaging through defocusing and a Fourier imager network. arXiv:2501.14287v1
Figure 7. Network architecture. (a) Multi-spectral Fourier Imager Network (mFIN). (b) Dense links: each output tensor of the dSPAF group is appended and fed to the subsequent one. (c) Detailed schematic of dSPAF modules. See the Methods section for details.
A diagram of the process of a computer.
A detailed layout showing the use of the sdr - s and the application for the sdrs that shows key features, attributes, and data points in detail for.
A comprehensive technical explanation of the application of the p2p - 5 module for the application to the new p2psp - 4 module, based on - 5p - 3p - 6p - p2 - 8p representing all details, specifications, and configurations of the system components.
Figure 7. Network architecture. (a) Multi-spectral Fourier Imager Network (mFIN). (b) Dense links: each output tensor of the dSPAF group is appended and fed to the subsequent one. (c) Detailed schematic of dSPAF modules. See the Methods section for details.
0.81
0.2693
0.5396
957
449
2.131
f38d365511ca98015aeeb9745912912d
images/2025/arxiv_0000024.png
https://arxiv.org/pdf/2501.14287v1.pdf
arxiv_0000025
Figure 25
scientific_figure
Fast Solvers for Discrete Diffusion Models: Theory and Applications of High-Order Algorithms
arXiv Research Authors
2502.00234v2
cs
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Fast Solvers for Discrete Diffusion Models: Theory and Applications of High-Order Algorithms. arXiv:2502.00234v2
Figure 1: Left: Application of the uniformization algorithm to discrete diffusion models for text generation. The x-axis denotes the time of the backward process, and the y-axis denotes the frequency of jumps (NFE). Perplexity convergence occurs before the NFE grows unbounded. Right: Comparison between τ-leaping and th...
A diagram of a computer screen showing.
A detailed layout showing the differences between the three different types of the model and the same type of model.
A comprehensive technical explanation of the different types of neural processing techniques for a computer application, including the following data and the following results of the process in the same process - time of the image, from the.
Figure 1: Left: Application of the uniformization algorithm to discrete diffusion models for text generation. The x-axis denotes the time of the backward process, and the y-axis denotes the frequency of jumps (NFE). Perplexity convergence occurs before the NFE grows unbounded. Right: Comparison between τ-leaping and th...
0.81
0.202
0.506
782
262
2.985
ffb833c014022b869127c3255c9e4423
images/2025/arxiv_0000025.png
https://arxiv.org/pdf/2502.00234v2.pdf
arxiv_0000026
Figure 26
scientific_figure
Fast Solvers for Discrete Diffusion Models: Theory and Applications of High-Order Algorithms
arXiv Research Authors
2502.00234v2
cs
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Fast Solvers for Discrete Diffusion Models: Theory and Applications of High-Order Algorithms. arXiv:2502.00234v2
Figure 2: Empirical KL divergence between the true and generated distribution of the toy model vs. number of steps. Data are fitted with linear regression with 95% confidence interval by bootstrapping.
A diagram of the number of steps.
A detailed layout showing the number of steps to be taken in a step - by - step process that shows key features, attributes, and data points in.
A comprehensive technical explanation of a step curve in the computer system, including the steps and the number of steps that will be taken to the computer machine for each step in the next step, and the process of the next time.
Figure 2: Empirical KL divergence between the true and generated distribution of the toy model vs. number of steps. Data are fitted with linear regression with 95% confidence interval by bootstrapping.
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0.5444
455
249
1.827
32569438aca37b8e7e692411d9885df9
images/2025/arxiv_0000026.png
https://arxiv.org/pdf/2502.00234v2.pdf
arxiv_0000027
Figure 27
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 1: Reinforcement learning framework for adaptive control of the over-relaxation parameter in LBGK. Each agent samples an action from its policy, with actions in- terpolated across the grid and applied to the environment. Agents receive local state observations and a global reward based on the alignment of the co...
A diagram of the process of a software.
A detailed layout showing the components of the system in which a sample action is generated to be completed.
A comprehensive technical explanation of the model for the experiment in which the data is stored and displayed in a flow diagram, as well as examples of the corresponding data in the image, the sequences and other elements, the actual.
Figure 1: Reinforcement learning framework for adaptive control of the over-relaxation parameter in LBGK. Each agent samples an action from its policy, with actions in- terpolated across the grid and applied to the environment. Agents receive local state observations and a global reward based on the alignment of the co...
0.7393
0.2737
0.5065
1,352
1,126
1.201
88e80358066f9e7ecd0a4e0fc62e330a
images/2025/arxiv_0000027.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000028
Figure 28
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 1: Reinforcement learning framework for adaptive control of the over-relaxation parameter in LBGK. Each agent samples an action from its policy, with actions in- terpolated across the grid and applied to the environment. Agents receive local state observations and a global reward based on the alignment of the co...
A diagram of a group of different.
A detailed layout showing the flow of the process of an experiment, with the sequence and its corresponding components.
A comprehensive technical explanation of the algorithm for a single - action system, including the same function as the other two - step sequencer, is shown in figure - based on a computer simulations and a computer graphicsized image.
Figure 1: Reinforcement learning framework for adaptive control of the over-relaxation parameter in LBGK. Each agent samples an action from its policy, with actions in- terpolated across the grid and applied to the environment. Agents receive local state observations and a global reward based on the alignment of the co...
0.75
0.264
0.507
1,191
688
1.731
20156cdfe50f74af15c722a2c9160219
images/2025/arxiv_0000028.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000029
Figure 29
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 2: Example for a policy network parametrization in an environment with local and cooperating agents. Figure 2a shows the network architecture for a fully local agent. The agent only receives the state at its location which in this case is a six dimensional vector. The network then consists of two fully convoluti...
A diagram of the three sections of an.
A detailed layout showing the two different sections of a building with two different angles and one side of it.
A comprehensive technical explanation of the optical system for scanning and viewing the image of a rectangled object from different angles in perspective and perspective, to which the image shows the image is not visible and the same image from.
Figure 2: Example for a policy network parametrization in an environment with local and cooperating agents. Figure 2a shows the network architecture for a fully local agent. The agent only receives the state at its location which in this case is a six dimensional vector. The network then consists of two fully convoluti...
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219
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132df63f8ab556450296baa400e9242a
images/2025/arxiv_0000029.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000030
Figure 30
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 3: Neural network architecture for a centralized critic network used in the learning phase by the MARL PPO algorithm. The Network receives a state S as input, which is compressed by six convolutional and three fully connected layers, and outputs a value function estimate V (S).
A diagram of a plane with a number of.
A detailed layout showing the various parts of a wooden structure and a line of wooden beams, with different sections.
A comprehensive technical explanation of the 3d image of a box and its contents and components in a single - dimensional view of it, which is an object that appears to be a box or something that is a box, that.
Figure 3: Neural network architecture for a centralized critic network used in the learning phase by the MARL PPO algorithm. The Network receives a state S as input, which is compressed by six convolutional and three fully connected layers, and outputs a value function estimate V (S).
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images/2025/arxiv_0000030.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000031
Figure 31
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 4: Evaluation of trained models on Kolmogorov flow at Re = 104. (4a) show the vorticity correlation of models with the DNS. All three models are able to stabilize the simulation. (4b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227]. All three models reproduce ...
A diagram of a graph showing the.
A detailed layout showing the results of different time - lapsing and multi - dimensional datas in the data.
A comprehensive technical explanation of the graphing process in the data visual system for the data modeling software, with the following data visual tool - based image and the data processing tool kit included in the following versions of the.
Figure 4: Evaluation of trained models on Kolmogorov flow at Re = 104. (4a) show the vorticity correlation of models with the DNS. All three models are able to stabilize the simulation. (4b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227]. All three models reproduce ...
0.7957
0.2742
0.535
2,539
1,575
1.612
fa7fc1eb7f7a6bab19773bbe3bc123ee
images/2025/arxiv_0000031.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000032
Figure 32
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 5: Evaluation of trained models on an unforced decaying flow at Re = 104.(5a) show the vorticity correlation of models with the DNS. (5b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227].
A diagram of the average flow of water.
A detailed layout showing the distribution of the water vapors in the atmosphere and the temperature of the atmosphere.
A comprehensive technical explanation of the water cycle for the seawater in the uk and europe, from a data sheet for the waterworkser ' s perspective, 2012 - 2015 - 2016 - 06, with a - 20 - 07 representing all details, specifications, and.
Figure 5: Evaluation of trained models on an unforced decaying flow at Re = 104.(5a) show the vorticity correlation of models with the DNS. (5b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227].
0.81
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0.5292
2,577
1,576
1.635
bab79cc710f4f2deee1fafdb58737d08
images/2025/arxiv_0000032.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000033
Figure 33
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 5: Evaluation of trained models on an unforced decaying flow at Re = 104.(5a) show the vorticity correlation of models with the DNS. (5b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227].
A diagram of the number of people who.
A detailed layout showing the distribution of the number of different types of gas in the world ' s atmosphere.
A comprehensive technical explanation of the time series for the first half of 2009 - 2013, with a line graph of the same time and the last half of 2013 - 2013 - 2012 - 2016 - 2019 years, and the year.
Figure 5: Evaluation of trained models on an unforced decaying flow at Re = 104.(5a) show the vorticity correlation of models with the DNS. (5b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227].
0.8064
0.2675
0.537
2,539
1,575
1.612
bbb50b7d8968580ed8ea5f5e3cc5c0ce
images/2025/arxiv_0000033.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000034
Figure 34
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 5: Evaluation of trained models on an unforced decaying flow at Re = 104.(5a) show the vorticity correlation of models with the DNS. (5b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227].
A diagram of the temperature curve of.
A detailed layout showing the average number of people in a group, and how they are using the data that shows key features, attributes, and data.
A comprehensive technical explanation of the mean on the watermark model for the current waveforms, with the following data of the time and volume of the stream - based data at the same time, as well as described.
Figure 5: Evaluation of trained models on an unforced decaying flow at Re = 104.(5a) show the vorticity correlation of models with the DNS. (5b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227].
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0.5309
2,577
1,576
1.635
1c7fcba14479a01047fc82f2acb0df2f
images/2025/arxiv_0000034.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000035
Figure 35
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 4: Evaluation of trained models on Kolmogorov flow at Re = 104. (4a) show the vorticity correlation of models with the DNS. All three models are able to stabilize the simulation. (4b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227]. All three models reproduce ...
A diagram of the same line and the.
A detailed layout showing the various stages of a wave and its characteristics in different directions, including the wave.
A comprehensive technical explanation of the data visual for a single - phase system of data visual in a single file system, with data visual of the same stage 3 / 4 / 3 / 3, 5 / 6 / 8 / 6 representing all details, specifications, and.
Figure 4: Evaluation of trained models on Kolmogorov flow at Re = 104. (4a) show the vorticity correlation of models with the DNS. All three models are able to stabilize the simulation. (4b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227]. All three models reproduce ...
0.75
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0.4875
1,191
458
2.6
2656148faef68afe6eb2561b0d287ea3
images/2025/arxiv_0000035.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000036
Figure 36
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 5: Evaluation of trained models on an unforced decaying flow at Re = 104.(5a) show the vorticity correlation of models with the DNS. (5b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227].
A diagram of a curve and a line graph.
A detailed layout showing the differences between the two data fields on this model and the same data field.
A comprehensive technical explanation of the data visual data for the two different systems, including the data and the data processing process and the information processing process on the same one line graphing process is also the same line with.
Figure 5: Evaluation of trained models on an unforced decaying flow at Re = 104.(5a) show the vorticity correlation of models with the DNS. (5b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227].
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0.5197
1,191
365
3.263
fa1162b0549c469d7bb23fd5135cd812
images/2025/arxiv_0000036.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000037
Figure 37
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 6: Evaluation of trained models on Kolmogorov flow at Re = 105. (6a) show the vorticity correlation of models with the DNS. (6b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227].
A diagram of the flow of water from a.
A detailed layout showing the various types of water vapors and their characteristics in the atmosphere of the earth.
A comprehensive technical explanation of the temperature curve and its relationship to the temperature of the water source, including the temperature, temperature, and temperature, in the water cycle, and heat area of the earth ' s surface ' s.
Figure 6: Evaluation of trained models on Kolmogorov flow at Re = 105. (6a) show the vorticity correlation of models with the DNS. (6b) shows the energy spectra scaled by k5, averaged over the second half of the simulation T ∈[113, 227].
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2,577
1,576
1.635
a93964e0c253144a245d0134ead3e551
images/2025/arxiv_0000037.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000038
Figure 38
scientific_figure
Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning
arXiv Research Authors
2504.14422v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Optimal Lattice Boltzmann Closures through Multi-Agent Reinforcement Learning. arXiv:2504.14422v1
Figure 7: Comparison of the vorticity fields of all models on the three test cases: Kol- mogorov flow at Re = 104 (7a), decaying unforced flow at Re = 104 (7b), and Kolmogorov flow at Re = 105 (7c).
A diagram of the image shows a variety.
A detailed layout showing the formation of a large group of cells that are in a single celled cell that shows key features, attributes, and data.
A comprehensive technical explanation of the structure and function of a cell membranes, including its surface and the number of cells in the cells, as well as described by the following the image, the image is shown.
Figure 7: Comparison of the vorticity fields of all models on the three test cases: Kol- mogorov flow at Re = 104 (7a), decaying unforced flow at Re = 104 (7b), and Kolmogorov flow at Re = 105 (7c).
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7d128eb2d68e2803e6ad22840f50abac
images/2025/arxiv_0000038.png
https://arxiv.org/pdf/2504.14422v1.pdf
arxiv_0000039
Figure 39
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 1. Illustration of the three force-generation strategies for a sin- gle unimodal distribution (e.g., a bond length): Bottom panel: Three points sampled from the data distribution. When atomistic forces are available, they can be used directly in subsequent applications. Middle panel: Each of the three samples is p...
A diagram of the different types of.
A detailed layout showing the motion of a wave in different stages, including a transverse noise kernel and a noise kernel.
A comprehensive technical explanation of the noise and noise in the sound waves of the sound source from the sound wave, the noise is the result of the amplitude of the waves in the noise moving waves of sound waves on the sound.
FIG. 1. Illustration of the three force-generation strategies for a sin- gle unimodal distribution (e.g., a bond length): Bottom panel: Three points sampled from the data distribution. When atomistic forces are available, they can be used directly in subsequent applications. Middle panel: Each of the three samples is p...
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9a4fa0ed63f3576d5cdde8b7196dd300
images/2025/arxiv_0000039.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000040
Figure 40
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 2. Ramachandran plots for alanine dipeptide for the different models trained on 10% of the training set.
A diagram of a green and blue.
A detailed layout showing the structure of a molecule with four arrows and two ends, and two red and one blue.
A comprehensive technical explanation of the structure of a hydroic compound, 3d - generated image courtesy university of technology and applied graphics, university of engineering, university at albany, 2013 - new hampshire, cambridge, london.
FIG. 2. Ramachandran plots for alanine dipeptide for the different models trained on 10% of the training set.
0.7429
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1,280
1,072
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b130da4aa72872133c488df0e4fe391d
images/2025/arxiv_0000040.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000041
Figure 41
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 3. Comparison of global-feature accuracy (dihedral-angle distributions or TICA projections) versus local-feature accuracy (bond-length distributions). Left column: The three benchmark systems and their CG representations: Alanine dipeptide, Chignolin, and Trp-cage. Each row corresponds to one system, with panels s...
A diagram of a 3d model of an animal.
A detailed layout showing the structure of a cell phone with multiple colored balls and needles attached to it.
A comprehensive technical explanation of the 3d model of an anti - cell system, with multiple structures and a multicolored structure, including the nucleus - platelets and the same colored spheres on the outer surface as well as.
FIG. 3. Comparison of global-feature accuracy (dihedral-angle distributions or TICA projections) versus local-feature accuracy (bond-length distributions). Left column: The three benchmark systems and their CG representations: Alanine dipeptide, Chignolin, and Trp-cage. Each row corresponds to one system, with panels s...
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a8a13557afffd30340745c31a358eae9
images/2025/arxiv_0000041.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000042
Figure 42
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 2. Ramachandran plots for alanine dipeptide for the different models trained on 10% of the training set.
A diagram of the structure of a green.
A detailed layout showing the structure of a multicolored liquid molecule, with multiple small metal structures.
A comprehensive technical explanation of the mechanism of a multi - dimensional molecule, based on the structure of a protein cell, and its structural properties, including the structure, and functions, and function, and processes, together,.
FIG. 2. Ramachandran plots for alanine dipeptide for the different models trained on 10% of the training set.
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1,072
1.194
36fad7a42455d9535b85f0dad993a0a6
images/2025/arxiv_0000042.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000043
Figure 43
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 2. Ramachandran plots for alanine dipeptide for the different models trained on 10% of the training set.
A diagram of the temperature and.
A detailed layout showing the various types of waves in different directions, and their corresponding colors and sizes.
A comprehensive technical explanation of the high - resolution image of a waveformer ' s speed and time of the waveformers in a single - stream, with different waves and several different stages of motion, each waveforms.
FIG. 2. Ramachandran plots for alanine dipeptide for the different models trained on 10% of the training set.
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854
184
4.641
ff2bb5569e0b423ea74feb63b807506d
images/2025/arxiv_0000043.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000044
Figure 44
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 3. Comparison of global-feature accuracy (dihedral-angle distributions or TICA projections) versus local-feature accuracy (bond-length distributions). Left column: The three benchmark systems and their CG representations: Alanine dipeptide, Chignolin, and Trp-cage. Each row corresponds to one system, with panels s...
A diagram of the different types of.
A detailed layout showing the different types of data for different areas of the body and their characteristics, including.
A comprehensive technical explanation of the different types of the data stored in the data storage area of a computer system, including data storage and data storage for all data storages and storages, including the datas, as well.
FIG. 3. Comparison of global-feature accuracy (dihedral-angle distributions or TICA projections) versus local-feature accuracy (bond-length distributions). Left column: The three benchmark systems and their CG representations: Alanine dipeptide, Chignolin, and Trp-cage. Each row corresponds to one system, with panels s...
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0.5126
760
598
1.271
8734dec9bd05d90c6e687bae66457df9
images/2025/arxiv_0000044.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000045
Figure 45
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 4. TICA projections for Chignolin for the different models trained on 10% of the training set.
A diagram of the different types of.
A detailed layout showing the distribution of the ionation of the plasmas in the human body and the number of the photon.
A comprehensive technical explanation of the time - laps for multiple images of a cell phone showing the different stages of cell phone life cycle and the same time of the cell phone - laps, as well as seen from the time.
FIG. 4. TICA projections for Chignolin for the different models trained on 10% of the training set.
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4.088
043df06d26db1afba78d491f8b9c5fe0
images/2025/arxiv_0000045.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000046
Figure 46
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 5. Top row: Distribution of minimized energies for backmapped CG configurations across the three benchmark systems, comparing all models. Bottom row: Corresponding example bond distributions.
A diagram of different types of energy.
A detailed layout showing the various types of the different energy levels of an ion in the atmosphere and the corresponding.
A comprehensive technical explanation of the different types of chiromin and chiromine in the various phases of the cycle of chironin, chiroquin, chirominoid and chironon energy, and chirodonol representing all details, specifications, and.
FIG. 5. Top row: Distribution of minimized energies for backmapped CG configurations across the three benchmark systems, comparing all models. Bottom row: Corresponding example bond distributions.
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956
464
2.06
8f17371ebf4a404dab91193439546ad5
images/2025/arxiv_0000046.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000047
Figure 47
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 6. Ramachandran plots for the AV and KS dipeptides, samples generated with different models. The pretrained Timewarp model is used to obtain forces via the transition kernel.
A diagram of the different types of.
A detailed layout showing the differences between the two phases of the h2h2 and h3h5 that shows key features, attributes, and data points in detail.
A comprehensive technical explanation of the time - laps of an experiment using the tim - t2s and the timeframes t4s - t5s t7s t3s t1s t9s representing all details, specifications, and configurations of the system components in full context with.
FIG. 6. Ramachandran plots for the AV and KS dipeptides, samples generated with different models. The pretrained Timewarp model is used to obtain forces via the transition kernel.
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272
1.82
baaf205aed0047988640b147fc6c7fbc
images/2025/arxiv_0000047.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000048
Figure 48
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 7. Ramachandran plots for alanine dipeptide at varying training-set sizes: top row 100% of the data; middle row 10%; bottom row 2%. Note that all Atomistic model simulations diverged at the 2% data level.
A diagram of the different phases of a.
A detailed layout showing the different types of heat and temperature for the area that is located on the surface.
A comprehensive technical explanation of the time series for the tms - 1 model and the tm - 3 model, including the time, time, and current timeframes, and timeframe, and temperatures, the time representing all details, specifications, and.
FIG. 7. Ramachandran plots for alanine dipeptide at varying training-set sizes: top row 100% of the data; middle row 10%; bottom row 2%. Note that all Atomistic model simulations diverged at the 2% data level.
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956
448
2.134
1a90ebc70d48a136f3ef63fe7fb97824
images/2025/arxiv_0000048.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000049
Figure 49
scientific_figure
Operator Forces For Coarse-Grained Molecular Dynamics
arXiv Research Authors
2506.19628v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Operator Forces For Coarse-Grained Molecular Dynamics. arXiv:2506.19628v1
FIG. 8. TICA plots for Chignolin at varying training-set sizes: top row 100% of the data; middle row 10%; bottom row 2%.
A diagram of the various types of.
A detailed layout showing the different stages of the human brain and how it is used to study the different areas.
A comprehensive technical explanation of the results of a multi - dimensional pattern of human eye and nose tissues, from the study of the study for the study in the study on - to the study atc, jl representing all details, specifications, and.
FIG. 8. TICA plots for Chignolin at varying training-set sizes: top row 100% of the data; middle row 10%; bottom row 2%.
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956
412
2.32
3b17b3e39201ea16c17d760ffb6cb885
images/2025/arxiv_0000049.png
https://arxiv.org/pdf/2506.19628v1.pdf
arxiv_0000050
Figure 50
scientific_figure
PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 1. Representative results of our method (PnP-CM) across a diverse set of inverse problems. Left to right: linear inverse problems (Gaussian deblurring, super-resolution, inpainting) and nonlinear inverse problems (JPEG artifact removal, nonlinear deblurring, phase retrieval), all with additive Gaussian noise σ =...
A diagram of the images of people and.
A detailed layout showing a group of people who are smiling and having different faces on them in different colors.
A comprehensive technical explanation of the differences between multiple personalitys and what they are supposed to be, including the same face of a woman, a man, a woman and a man and a woman with glasses, a couch,.
Figure 1. Representative results of our method (PnP-CM) across a diverse set of inverse problems. Left to right: linear inverse problems (Gaussian deblurring, super-resolution, inpainting) and nonlinear inverse problems (JPEG artifact removal, nonlinear deblurring, phase retrieval), all with additive Gaussian noise σ =...
0.75
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0.5182
4,878
2,294
2.126
d6e733750237ec476df728c3edf5c05e
images/2025/arxiv_0000050.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000051
Figure 51
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 1. Representative results of our method (PnP-CM) across a diverse set of inverse problems. Left to right: linear inverse problems (Gaussian deblurring, super-resolution, inpainting) and nonlinear inverse problems (JPEG artifact removal, nonlinear deblurring, phase retrieval), all with additive Gaussian noise σ =...
A diagram of the four pictures on the.
A detailed layout showing the different photos of people in a photo album and how they are using them.
A comprehensive technical explanation of the role of the first woman in the u s armed forces in the war of the worlds, including the first female soldier in the united states and second woman in world wars with a world war,.
Figure 1. Representative results of our method (PnP-CM) across a diverse set of inverse problems. Left to right: linear inverse problems (Gaussian deblurring, super-resolution, inpainting) and nonlinear inverse problems (JPEG artifact removal, nonlinear deblurring, phase retrieval), all with additive Gaussian noise σ =...
0.7143
0.227
0.4707
1,224
897
1.365
757ac855d3bed0d814a71a7cc4dfc65b
images/2025/arxiv_0000051.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000052
Figure 52
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 2. Representative results for Gaussian deblurring, inpainting (70%), and super-resolution (×4). PnP-CM produces sharp and coherent reconstructions, preserving fine details while avoiding the over-smoothing observed in DPS. Compared to CM-based methods, it more reliably recovers structured content, and achieves v...
A diagram of multiple pictures of a.
A detailed layout showing multiple images of a woman with various facial expressions and hair styles, including a woman ' s face.
A comprehensive technical explanation of a multiple image of a woman with different makeup looks and facial expressions, all in different colors, from brown to blonde to red and black and green and yellow to blue and white and orange and red.
Figure 2. Representative results for Gaussian deblurring, inpainting (70%), and super-resolution (×4). PnP-CM produces sharp and coherent reconstructions, preserving fine details while avoiding the over-smoothing observed in DPS. Compared to CM-based methods, it more reliably recovers structured content, and achieves v...
0.75
0.2825
0.5162
4,203
2,545
1.651
511e8727dc6f06244c170f163bfd8238
images/2025/arxiv_0000052.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000053
Figure 53
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 2. Representative results for Gaussian deblurring, inpainting (70%), and super-resolution (×4). PnP-CM produces sharp and coherent reconstructions, preserving fine details while avoiding the over-smoothing observed in DPS. Compared to CM-based methods, it more reliably recovers structured content, and achieves v...
A diagram of multiple images with.
A detailed layout showing multiple images of a woman with different hair styles and make - up for her.
A comprehensive technical explanation of a photo montage of a woman with long hair and makeup products on her face, showing multiple stages of the process in the same picture, with a woman ' s face, from the same image.
Figure 2. Representative results for Gaussian deblurring, inpainting (70%), and super-resolution (×4). PnP-CM produces sharp and coherent reconstructions, preserving fine details while avoiding the over-smoothing observed in DPS. Compared to CM-based methods, it more reliably recovers structured content, and achieves v...
0.7143
0.2983
0.5063
1,224
762
1.606
24af191e37270b3f71a6316e3122729f
images/2025/arxiv_0000053.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000054
Figure 54
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 3. Comparison of reconstruction quality for nonlinear for- ward models. PnP-CM yields sharp and coherent reconstructions, with quality that is competitive with or improved over existing methods, highlighting robust performance in challenging nonlin- ear settings while requiring substantially fewer NFEs. m > n, a...
A diagram of a woman ' s face with.
A detailed layout showing the different angles of a woman ' s face with her hair styled, and the same side by side.
A comprehensive technical explanation of the three photos show the same amount of light in each room and the same person with the same hair style on the other side of the picture, in the same room, the same picture, the room.
Figure 3. Comparison of reconstruction quality for nonlinear for- ward models. PnP-CM yields sharp and coherent reconstructions, with quality that is competitive with or improved over existing methods, highlighting robust performance in challenging nonlin- ear settings while requiring substantially fewer NFEs. m > n, a...
0.75
0.2503
0.5001
2,273
990
2.296
cc601a54a13cef035471602d6313c591
images/2025/arxiv_0000054.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000055
Figure 55
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 4. Qualitative comparisons of DPS, DDS, CM4IR, and PnP-CM. Top: Coronal PD with R = 8. Bottom: Coronal PD-FS with R = 8. PnP-CM effectively reduces artifacts and blurring that are not removed by other methods (red and yellow arrows).
A diagram of different stages of knee.
A detailed layout showing the different stages of an ostrich joint with a cross section in the middle.
A comprehensive technical explanation of the impact of ostexyal and ostexial injuries on the knee, including ostex, osteoplasmos and ostrictalitis, ostremals, ostric, ostraplorosis, ostri representing all details, specifications, and configurations.
Figure 4. Qualitative comparisons of DPS, DDS, CM4IR, and PnP-CM. Top: Coronal PD with R = 8. Bottom: Coronal PD-FS with R = 8. PnP-CM effectively reduces artifacts and blurring that are not removed by other methods (red and yellow arrows).
0.7143
0.2098
0.4621
5,016
2,573
1.949
2f4062da5cdd5748410e4bb882fe6ed2
images/2025/arxiv_0000055.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000056
Figure 56
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 3. Comparison of reconstruction quality for nonlinear for- ward models. PnP-CM yields sharp and coherent reconstructions, with quality that is competitive with or improved over existing methods, highlighting robust performance in challenging nonlin- ear settings while requiring substantially fewer NFEs.
A diagram of the different images of a.
A detailed layout showing multiple images of a woman and man with different expressions, including the same person.
A comprehensive technical explanation of the multiple image editing process for a photo booth or video booth, including the same image, and the same picture in one image, the same photo, different format, with each, each, different.
Figure 3. Comparison of reconstruction quality for nonlinear for- ward models. PnP-CM yields sharp and coherent reconstructions, with quality that is competitive with or improved over existing methods, highlighting robust performance in challenging nonlin- ear settings while requiring substantially fewer NFEs.
0.75
0.3174
0.5337
553
685
0.807
fc6f29fd65782b16f18e674cc262b6b7
images/2025/arxiv_0000056.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000057
Figure 57
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 4. Qualitative comparisons of DPS, DDS, CM4IR, and PnP-CM. Top: Coronal PD with R = 8. Bottom: Coronal PD-FS with R = 8. PnP-CM effectively reduces artifacts and blurring that are not removed by other methods (red and yellow arrows).
A diagram of multiple images of the.
A detailed layout showing multiple images of the various structures of a human body with no visible organs or tissues.
A comprehensive technical explanation of the effects of the nephoidic in the right knee, and the effects to the left knee are shown in red and green arrows on the lower left side of the image with the image below.
Figure 4. Qualitative comparisons of DPS, DDS, CM4IR, and PnP-CM. Top: Coronal PD with R = 8. Bottom: Coronal PD-FS with R = 8. PnP-CM effectively reduces artifacts and blurring that are not removed by other methods (red and yellow arrows).
0.75
0.2249
0.4874
553
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1.043
a2d0f85941558bd8974d6cc9d5459fda
images/2025/arxiv_0000057.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000058
Figure 58
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
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arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 5. Absolute change in PSNR and LPIPS when perturbing the reported PnP-CM hyperparameters. Even with up to 25% vari- ation, the deviations remain small, indicating strong robustness.
A diagram of the distribution of water.
A detailed layout showing the distribution of the perturation from the data of the system and the distribution.
A comprehensive technical explanation of the flow rate of the aspirators and aspirants in the following stages of the process, asp106, aspiriumation viab / blprs is perturtion representing all details, specifications, and configurations of the.
Figure 5. Absolute change in PSNR and LPIPS when perturbing the reported PnP-CM hyperparameters. Even with up to 25% vari- ation, the deviations remain small, indicating strong robustness.
0.8064
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0.5415
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324
1.583
37e63634321cd9ce3d6de9f8f1293efc
images/2025/arxiv_0000058.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000059
Figure 59
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
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2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 8. Illustrative 4× super-resolution results on CelebA-HQ with σy = 0.05. PnP-CM restores high-frequency details with improved clarity and denoising, yielding visually richer reconstructions.
A diagram of many different faces of.
A detailed layout showing the faces of many people on the red carpet at an event, with multiple pictures of them.
A comprehensive technical explanation of this photograph shows the many faces of people in the photo booth on the red carpet of a red carpet event, including president obama and then obama and the other presidents, barack and clintons, obama.
Figure 8. Illustrative 4× super-resolution results on CelebA-HQ with σy = 0.05. PnP-CM restores high-frequency details with improved clarity and denoising, yielding visually richer reconstructions.
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0.3458
0.5479
4,026
4,125
0.976
b3d0181a18c74ad32ab7e9c9aa15e5ee
images/2025/arxiv_0000059.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000060
Figure 60
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 8. Illustrative 4× super-resolution results on CelebA-HQ with σy = 0.05. PnP-CM restores high-frequency details with improved clarity and denoising, yielding visually richer reconstructions.
A diagram of the many faces of people.
A detailed layout showing a series of different faces of men and women, including one with blonde hair.
A comprehensive technical explanation of many faces in a collage of people and their faces, including barack obama, michelle obama, donald trump, mello ross, and others, and hillary clinton, and other presidents, all.
Figure 8. Illustrative 4× super-resolution results on CelebA-HQ with σy = 0.05. PnP-CM restores high-frequency details with improved clarity and denoising, yielding visually richer reconstructions.
0.7179
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0.5102
1,224
1,276
0.959
4d02fe8d023deaedcded932cc5835991
images/2025/arxiv_0000060.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000061
Figure 61
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
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2025
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arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 9. Representative Gaussian deblurring results on LSUN Bedroom with σy = 0.05. Comparisons with all baseline methods show that PnP-CM restores textures more faithfully and avoids oversmoothing.
A diagram of a church with rows of.
A detailed layout showing multiple photos of a hotel lobby with floral arrangements on the tables and chairs, and a bench in front.
A comprehensive technical explanation of a video editing process including multiple images and texting options, including multiple frames of the same image, and multiple images of each one of a woman in a man sitting on a chair at a table.
Figure 9. Representative Gaussian deblurring results on LSUN Bedroom with σy = 0.05. Comparisons with all baseline methods show that PnP-CM restores textures more faithfully and avoids oversmoothing.
0.81
0.2298
0.5199
4,026
4,125
0.976
03892ee3d7d32c85d612801717b16679
images/2025/arxiv_0000061.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000062
Figure 62
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
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arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 9. Representative Gaussian deblurring results on LSUN Bedroom with σy = 0.05. Comparisons with all baseline methods show that PnP-CM restores textures more faithfully and avoids oversmoothing.
A diagram of a machine in a factory.
A detailed layout showing rows of rows of empty seats in a church with a clock on the wall that shows key features, attributes, and data points in.
A comprehensive technical explanation of a machine to make a quilter ' s fabric on the machine is shown in multiple pictures with a variety of fabrics and colors of machines in front rows of them, including white and pink and red.
Figure 9. Representative Gaussian deblurring results on LSUN Bedroom with σy = 0.05. Comparisons with all baseline methods show that PnP-CM restores textures more faithfully and avoids oversmoothing.
0.81
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1,224
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0.959
2a54917a31140f0125b69e3df225ee9f
images/2025/arxiv_0000062.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000063
Figure 63
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PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
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2025
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arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 11. Demonstration of super-resolution (×4) results on LSUN Bedroom with σy = 0.05. Reconstructions are compared against all baseline methods, with PnP-CM producing sharper details and closer resemblance to the ground truth.
A diagram of multiple images of a.
A detailed layout showing the multiple images of a coffee machine and cups on display at a storefront.
A comprehensive technical explanation of the process of printing a product in multiple stages, including a print and color scheme and a selection of colors for each product, from different to which one is available or more than one color.
Figure 11. Demonstration of super-resolution (×4) results on LSUN Bedroom with σy = 0.05. Reconstructions are compared against all baseline methods, with PnP-CM producing sharper details and closer resemblance to the ground truth.
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0.2775
0.4959
4,026
4,125
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f51d4254e11160f52dbfe0ffd6ccb9e8
images/2025/arxiv_0000063.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000064
Figure 64
scientific_figure
PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems
arXiv Research Authors
2509.22736v2
eess
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems. arXiv:2509.22736v2
Figure 11. Demonstration of super-resolution (×4) results on LSUN Bedroom with σy = 0.05. Reconstructions are compared against all baseline methods, with PnP-CM producing sharper details and closer resemblance to the ground truth.
A diagram of the different machines.
A detailed layout showing the various machines used in the manufacturing process and how they work together to produce products.
A comprehensive technical explanation of the different types of dyes available in the market for sale on the shelves of a store or retail store, including the color and the machine and the bottles of the mixers and the labels.
Figure 11. Demonstration of super-resolution (×4) results on LSUN Bedroom with σy = 0.05. Reconstructions are compared against all baseline methods, with PnP-CM producing sharper details and closer resemblance to the ground truth.
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1,224
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d86a35cc9a6e4c407a685197f2f7e6d0
images/2025/arxiv_0000064.png
https://arxiv.org/pdf/2509.22736v2.pdf
arxiv_0000065
Figure 65
scientific_figure
Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields
arXiv Research Authors
2510.06286v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields. arXiv:2510.06286v1
Figure 1: Diagram of the divergence-free NN (dfNN) model architecture and directional guidance learning strategy (left). The quiver plot (right) shows an on-grid ice flux reconstruction by the dfNN with directional guidance (best model) for a subset of the experimental region over Byrd Glacier. limit data collection, m...
A diagram of the different phases of.
A detailed layout showing the three phases of an artificial cell membrane and the different types of it that are used to produce.
A comprehensive technical explanation of the quantum - based magnetic field experiment of an n - - inferetry - v - e - v, and the diff - v v - vf - vg - vd representing all details, specifications, and configurations of the system components in.
Figure 1: Diagram of the divergence-free NN (dfNN) model architecture and directional guidance learning strategy (left). The quiver plot (right) shows an on-grid ice flux reconstruction by the dfNN with directional guidance (best model) for a subset of the experimental region over Byrd Glacier. limit data collection, m...
0.75
0.2459
0.498
3,190
1,072
2.976
53b91513a3a9cc7f77e348e18a8253f2
images/2025/arxiv_0000065.png
https://arxiv.org/pdf/2510.06286v1.pdf
arxiv_0000066
Figure 66
scientific_figure
Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields
arXiv Research Authors
2510.06286v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields. arXiv:2510.06286v1
Figure 1: Diagram of the divergence-free NN (dfNN) model architecture and directional guidance learning strategy (left). The quiver plot (right) shows an on-grid ice flux reconstruction by the dfNN with directional guidance (best model) for a subset of the experimental region over Byrd Glacier.
A diagram of the structure of a cell.
A detailed layout showing the process of an invertitotor to produce a cell phone battery using a cellphone.
A comprehensive technical explanation of the structure and function of an ion - activated cell phone, including the location of the battery and the potential energy source for it to operate it inverte to charge it to run it,.
Figure 1: Diagram of the divergence-free NN (dfNN) model architecture and directional guidance learning strategy (left). The quiver plot (right) shows an on-grid ice flux reconstruction by the dfNN with directional guidance (best model) for a subset of the experimental region over Byrd Glacier.
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images/2025/arxiv_0000066.png
https://arxiv.org/pdf/2510.06286v1.pdf
arxiv_0000067
Figure 67
scientific_figure
Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields
arXiv Research Authors
2510.06286v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields. arXiv:2510.06286v1
Figure 2: Test RMSE (↓) comparison across all model variants, averaged over five runs. Boxed values indicate mean RMSE, with error bars showing ± std. MAD (top) denotes the Mean Absolute Diver- gence. dfNNs (proposed, in bold) outperform PINNs & NNs, while directional guidance (proposed, in bold) improves all models an...
A diagram of the number of different.
A detailed layout showing the number of different hb - 2s and hb2s in each cell that shows key features, attributes, and data points in detail for.
A comprehensive technical explanation of the number and type of cases with the same amount of cases per year, by type of case, as described in this figure 1, from the study of the data table 2, 2011 - 3.
Figure 2: Test RMSE (↓) comparison across all model variants, averaged over five runs. Boxed values indicate mean RMSE, with error bars showing ± std. MAD (top) denotes the Mean Absolute Diver- gence. dfNNs (proposed, in bold) outperform PINNs & NNs, while directional guidance (proposed, in bold) improves all models an...
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3,780
933
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ca009c919487262189af784df58ab12e
images/2025/arxiv_0000067.png
https://arxiv.org/pdf/2510.06286v1.pdf
arxiv_0000068
Figure 68
scientific_figure
Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields
arXiv Research Authors
2510.06286v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields. arXiv:2510.06286v1
Figure 3: Gridded predictions of models + dir (best variant per model) for a small test region (white).
A diagram of the different phases of.
A detailed layout showing the different phases of an air - plane flight from the earth to the moon that shows key features, attributes, and data.
A comprehensive technical explanation of the different types of wind patterns in the atmosphere of earth ' s surface, including wind speed, wind flow, and air pressure, and temperature, and water pressure, in the earth ' nn.
Figure 3: Gridded predictions of models + dir (best variant per model) for a small test region (white).
0.81
0.2277
0.5189
3,174
1,087
2.92
18205e98d78bb9230048f37c3353cad7
images/2025/arxiv_0000068.png
https://arxiv.org/pdf/2510.06286v1.pdf
arxiv_0000069
Figure 69
scientific_figure
Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields
arXiv Research Authors
2510.06286v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields. arXiv:2510.06286v1
Figure 2: Test RMSE (↓) comparison across all model variants, averaged over five runs. Boxed values indicate mean RMSE, with error bars showing ± std. MAD (top) denotes the Mean Absolute Diver- gence. dfNNs (proposed, in bold) outperform PINNs & NNs, while directional guidance (proposed, in bold) improves all models an...
A diagram of a bar chart with the.
A detailed layout showing the distribution of the number of different cell phones in the world, including the number.
A comprehensive technical explanation of the number of patients who have been treated for the same type of treatment as well as their age and weight, as per table numbers of patients with a total and age, in the number,.
Figure 2: Test RMSE (↓) comparison across all model variants, averaged over five runs. Boxed values indicate mean RMSE, with error bars showing ± std. MAD (top) denotes the Mean Absolute Diver- gence. dfNNs (proposed, in bold) outperform PINNs & NNs, while directional guidance (proposed, in bold) improves all models an...
0.81
0.2426
0.5263
1,224
343
3.569
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images/2025/arxiv_0000069.png
https://arxiv.org/pdf/2510.06286v1.pdf
arxiv_0000070
Figure 70
scientific_figure
Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields
arXiv Research Authors
2510.06286v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields. arXiv:2510.06286v1
Figure 3: Gridded predictions of models + dir (best variant per model) for a small test region (white).
A diagram of the two different types.
A detailed layout showing an image of the same number of different elements in the model, each with its own.
A comprehensive technical explanation of the new and old model for pnm - sn9, which is being developed by the company in the united states of new york and the us, with the same company in 1994 representing all details, specifications, and.
Figure 3: Gridded predictions of models + dir (best variant per model) for a small test region (white).
0.7957
0.233
0.5143
1,224
605
2.023
0ced72ee31573f44cff0e91c4554d79d
images/2025/arxiv_0000070.png
https://arxiv.org/pdf/2510.06286v1.pdf
arxiv_0000071
Figure 71
scientific_figure
Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields
arXiv Research Authors
2510.06286v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields. arXiv:2510.06286v1
Figure 4: Train-Test chequerboard over Byrd Glacier, Antarctica. Training regions are shown in grey and test regions are shown in white. Points indicate locations with ice flux observations, collected mainly through airborne geophysical surveys, highlighting the anisotropic nature of the ‘flight line’ data. The Antarct...
A diagram of the location of an area.
A detailed layout showing the area of a city with many dots and squares in blue, and a small square.
A comprehensive technical explanation of the data visual for the solar system in the city of washington, dc, and washington d c, and the us states of america, and canada, and europe, with a graphed region labeled.
Figure 4: Train-Test chequerboard over Byrd Glacier, Antarctica. Training regions are shown in grey and test regions are shown in white. Points indicate locations with ice flux observations, collected mainly through airborne geophysical surveys, highlighting the anisotropic nature of the ‘flight line’ data. The Antarct...
0.7071
0.2426
0.4748
2,072
2,003
1.034
5eb534c9530048519f18560744bb5992
images/2025/arxiv_0000071.png
https://arxiv.org/pdf/2510.06286v1.pdf
arxiv_0000072
Figure 72
scientific_figure
Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields
arXiv Research Authors
2510.06286v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Mass Conservation on Rails -- Rethinking Physics-Informed Learning of Ice Flow Vector Fields. arXiv:2510.06286v1
Figure 4: Train-Test chequerboard over Byrd Glacier, Antarctica. Training regions are shown in grey and test regions are shown in white. Points indicate locations with ice flux observations, collected mainly through airborne geophysical surveys, highlighting the anisotropic nature of the ‘flight line’ data. The Antarct...
A diagram of the intersection of two.
A detailed layout showing the location of a network in a city area and a blue line of information about the area.
A comprehensive technical explanation of the application of the algorithm for using the data in the following image, the data is displayed on the map and the data on the screen below it is the data barcoded as described by the data.
Figure 4: Train-Test chequerboard over Byrd Glacier, Antarctica. Training regions are shown in grey and test regions are shown in white. Points indicate locations with ice flux observations, collected mainly through airborne geophysical surveys, highlighting the anisotropic nature of the ‘flight line’ data. The Antarct...
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0.2063
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1,224
1,303
0.939
81c02bef2e520d3cf9b2fcafd9ad7867
images/2025/arxiv_0000072.png
https://arxiv.org/pdf/2510.06286v1.pdf
arxiv_0000073
Figure 73
scientific_figure
Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
Figure 1. (a) Darkfield (DFI) image (b) Attenuation (ATTN) image. In the attenuation image, several regions of the lungs are partially obscured by the cardiac volume and other organs, whereas in the DFI image these areas remain visible as regions of reduce, but still detectable small-angle scattering intensity. In pa...
A diagram of the diaploid and dfi of.
A detailed layout showing the diaploid of the chest before surgery with the dfi arrows pointing to the abdomen.
A comprehensive technical explanation of the dfi on the chest and abdomen of a patient with no surgery, including the dft on the abdomen of the chest, and the dfl on the left side of the abdomen, is shown.
Figure 1. (a) Darkfield (DFI) image (b) Attenuation (ATTN) image. In the attenuation image, several regions of the lungs are partially obscured by the cardiac volume and other organs, whereas in the DFI image these areas remain visible as regions of reduce, but still detectable small-angle scattering intensity. In pa...
0.7464
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0.5222
519
555
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images/2025/arxiv_0000073.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000074
Figure 74
scientific_figure
Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
null
A diagram of the chest and abdomen.
A detailed layout showing the position of the rib cage, which is not visible for all of the radiologists to see.
A comprehensive technical explanation of the anatomy of the human chest and abdomens, including the thorble, the thorbla, and the ribs of the abdomens and the abdomen, from the front view of the chest and the upper part of the hip.
null
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0.5364
524
555
0.944
17100324f67d5cdbcb86a0c4dd3104e1
images/2025/arxiv_0000074.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000075
Figure 75
scientific_figure
Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
and
A diagram of an x - ray image of a man.
A detailed layout showing the different areas of the chest and the posterior of the abdomen, including the breast.
A comprehensive technical explanation of the radiology of the chest and abdomen, showing the various areas of the human body with a single breast in the middle section and a three sections on the upper part of the front of the top.
and
0.81
0.2491
0.5295
519
555
0.935
18924c6d23bb1501c0555a73b3c2327e
images/2025/arxiv_0000075.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000076
Figure 76
scientific_figure
Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
Figure 1.
A diagram of the chest and chest area.
A detailed layout showing the ribs and chest of an infant with a broken rib - xray image that shows key features, attributes, and data points in.
A comprehensive technical explanation of the location of the chest radiography showing the location and location of a chest radiograph, including the ribs and the chest, the top of a man with a chest, in the chest and an x - ray.
Figure 1.
0.81
0.3476
0.5788
519
555
0.935
ad09c5f15ec004a4773be64e824cb292
images/2025/arxiv_0000076.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000077
Figure 77
scientific_figure
Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
Figure 1. (a) Darkfield (DFI) image (b) Attenuation (ATTN) image. In the attenuation image, several regions of the lungs are partially obscured by the cardiac volume and other organs, whereas in the DFI image these areas remain visible as regions of reduce, but still detectable small-angle scattering intensity. In pa...
A diagram of the chest showing the.
A detailed layout showing the location of a chest, with a large amount of small areas in the abdomen.
A comprehensive technical explanation of the anatomy of the chest and the lungs, including the thorbone and chest area areas, from the study of the study, c - fyc / p - t, e - l - l representing all details, specifications, and configurations of.
Figure 1. (a) Darkfield (DFI) image (b) Attenuation (ATTN) image. In the attenuation image, several regions of the lungs are partially obscured by the cardiac volume and other organs, whereas in the DFI image these areas remain visible as regions of reduce, but still detectable small-angle scattering intensity. In pa...
0.7107
0.2777
0.4942
976
944
1.034
c9b114c2b4ba27986cc301f97cbe7c04
images/2025/arxiv_0000077.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000078
Figure 78
scientific_figure
Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
Figure 2. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspondi...
A diagram of the chest showing an area.
A detailed layout showing the location of the x - rays and the location on the left side of the chest.
A comprehensive technical explanation of the impact of the presence of the small dots on the chest and the large dots on a large dot on the upper part of the lower part of a large bone, on the right side of the abdomen.
Figure 2. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspondi...
0.7143
0.2928
0.5036
980
640
1.531
9887a1ac48f3b937bbd64dff8b9fb0db
images/2025/arxiv_0000078.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000079
Figure 79
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Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
Original dark-field image shown for reference.
A diagram of the interior of an.
A detailed layout showing the cat standing on the rock looking down at the camera, in black and white.
A comprehensive technical explanation of the human body ' s skeletal muscles and muscles, including the ribs, legs, and abdomens, and the upper limb bones and the hip bones, from the top view of the posterior view.
Original dark-field image shown for reference.
0.7143
0.2481
0.4812
469
640
0.733
dac6dccba88d7bb4d2586c0c128417e8
images/2025/arxiv_0000079.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000080
Figure 80
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Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
Figure 3. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspond...
A diagram of the chest and ribs shows.
A detailed layout showing the presence of the metacline on the right side of the chest, and an x - ray image of the left side of a man ' s chest.
A comprehensive technical explanation of the presence of the metaclost on the thorric ribs of a patient in this case, the thorrotrotrotormaploidia is a non - thorromal metator and metatriized representing all details, specifications, and.
Figure 3. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspond...
0.75
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0.5209
971
700
1.387
943b2517757b7810a5de9125fe512fed
images/2025/arxiv_0000080.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000081
Figure 81
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Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
Figure 3. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspond...
A diagram of a plane flying over a.
A detailed layout showing the dark gray background and the white light on the left side of the image.
A comprehensive technical explanation of the structure of a moon ' s face and its shadow, including the moon ' ' s tail, which is pointed toward to the left at the sun ' s center of the moon, and the moon.
Figure 3. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspond...
0.7107
0.2651
0.4879
461
700
0.659
e9e991bdb7a4602df1ffc41eac886dd3
images/2025/arxiv_0000081.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000082
Figure 82
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Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
Figure 2. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspondi...
A diagram of the different areas of.
A detailed layout showing the location of the left shoulder and the right shoulder bone, and the patient ' s chest.
A comprehensive technical explanation of the bone marrow and its role in surgery for the hip joint, including the pelvic region and the lumbas of the pelvis bone verteus, for the pectoral bone representing all details, specifications, and.
Figure 2. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspondi...
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0.4891
987
437
2.259
b1d87ac95aa22b481f169b9f28adb3ed
images/2025/arxiv_0000082.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000083
Figure 83
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Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
Figure 3. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspond...
A diagram of the normal and a normal.
A detailed layout showing the presence of the papii on the left side of the chest, and the location of the peritoidus on the right side.
A comprehensive technical explanation of x - ray images showing the location and function of the bone, including the end of the right side of the thor and the thorcrasm, and the upper thorblex, and upper.
Figure 3. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspond...
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0.4981
987
485
2.035
c25df9053237336407ce267775d20a5e
images/2025/arxiv_0000083.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000084
Figure 84
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Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
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physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
Figure 4. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspond...
A diagram of the head of a man with a.
A detailed layout showing the location of the left vental in the upper part of the abdomen, and the yellow line on the lower part of an x - ray.
A comprehensive technical explanation of the chest radiograph of a person with a proxitoid on the right side of the body and a yellow line indicating a large area on the left side of his chest radiogram in the chest.
Figure 4. (a) Contoured attenuation (ATTN) image with inserted tumors. The tumors exhibit slightly higher attenuation than the surrounding lung tissue, making them visible in the upper lung regions but nearly indistinguishable in the lower sections, where overlapping organs project higher attenuation. (b) Correspond...
0.75
0.3253
0.5376
432
715
0.604
3f3de7716feb839de1a2cc3e74ff6a75
images/2025/arxiv_0000084.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000085
Figure 85
scientific_figure
Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
null
A diagram of the presence of a cell in.
A detailed layout showing the structure of the cell membrane of the microtubr, which is a layer that shows key features, attributes, and data points.
A comprehensive technical explanation of the structure of the human cell membranes and its connections to the cell wall and surrounding the cell, from the surface of the cell line of the plate, which is shown in yellow lines on the image.
null
0.87
0.2368
0.5534
435
715
0.608
5bf83da991feb9ad3f252a2df520b0aa
images/2025/arxiv_0000085.png
https://arxiv.org/pdf/2510.27679v1.pdf
arxiv_0000086
Figure 86
scientific_figure
Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models
arXiv Research Authors
2510.27679v1
physics
2025
http://creativecommons.org/licenses/by/4.0/
arXiv Research Authors (2025). Dark-Field X-Ray Imaging Significantly Improves Deep-Learning based Detection of Synthetic Early-Stage Lung Tumors in Preclinical Models. arXiv:2510.27679v1
null
A diagram of a cat ' s head showing.
A detailed layout showing the light from a microscope at night, and in the dark of the image that shows key features, attributes, and data points in.
A comprehensive technical explanation of the first ever image of a horse in the dark, with a white spot on its forehead and a black background to it ' s left side and right of the head, as well as well,.
null
0.81
0.2609
0.5354
437
715
0.611
e70a04a1202009a79fcc4cb0f89b48fe
images/2025/arxiv_0000086.png
https://arxiv.org/pdf/2510.27679v1.pdf
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SciFig-Bench: Scientific Figure & Multi-Scale Caption Dataset Card

Dataset Description

This dataset contains high-quality scientific figures, architecture diagrams, charts, and visualizations extracted from scientific papers (arXiv & local PDFs). It includes multi-level captions (Small, Medium, Large), extracted embedded OCR text, paper metadata, and alignment quality scores.

  • Total Figure Records: 589
  • Average CLIP Alignment Score: 0.2721
  • Average Composite Score: 0.5209
  • Supported Formats: JSONL (dataset.jsonl), CSV (dataset.csv)

Dataset Schema

Field Name Type Description
id String Unique figure identifier (e.g. arxiv_0000001)
figure_id String Original figure caption prefix (e.g. Figure 1)
figure_type String Classified figure type (architecture_diagram, line_plot, bar_chart, etc.)
paper_title String Title of the source scientific paper
authors List/String List of paper authors
arxiv_id String arXiv paper identifier if available
category String Subject category classification (e.g., cs, stat, physics)
year String Publication year
license String Paper license URL if specified
citation String Bibliographic citation string
original_caption String Exact figure caption extracted from the paper
small_caption String Short caption (30–50 chars) for quick retrieval
medium_caption String Detailed caption (100–180 chars) describing key components
large_caption String Comprehensive caption (200–300 chars) with detailed visual explanation
extracted_text String OCR-extracted text labels embedded inside the figure image
clip_score Float CLIP visual-text alignment score [0, 1]
composite_score Float Combined text quality and CLIP alignment score
image_width Integer Image width in pixels
image_height Integer Image height in pixels
aspect_ratio Float Image aspect ratio (width / height)
image_hash String Perceptual dHash fingerprint for deduplication

Dataset Statistics

Category Breakdown

Subject Category Record Count
cs 370
physics 79
eess 15
stat 125

Figure Type Distribution

Figure Type Count
scientific_figure 589

Usage & Quality Control

Quality Filters Applied

  1. Resolution & Aspect Ratio: Rejects images smaller than 80×80 px or with extreme aspect ratios (>8:1).
  2. Blank/Low-Contrast Check: Filters out low-contrast background regions and empty boxes.
  3. Perceptual Deduplication: SHA-256 and dHash checks prevent duplicate images across papers.
  4. CLIP Visual Alignment: Measures semantic alignment between figure image and generated captions.

Citation & Licensing

When using records from this dataset, please attribute the original paper authors according to the citation field provided in each dataset record.

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