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200 | 8 | 10 | Figure | {
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200 | 1 | 1 | Figure | {
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200 | 2 | 6 | Table | {
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200 | 4 | 6 | Figure | {
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200 | 5 | 6 | Figure | {
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} | Fig. 5: Experiment I (Task MAG): All instances of correspondence errors by participant. The most separable lengthycolor glyph had no instances of correspondence error whilst the lengthylengthx had the most. The redundant color dimensions helped removed some correspondence errors (Two instances of lengthycolor/lengthx v... | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00002_1762333113/figures/2301.00002-Figure5-1.png | {
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200 | 7 | 9 | Figure | {
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} | Fig. 7: Density effects on color choices to justify the use of dense sampling and categorical colormap (c) in Experiment II. This example dataset shows two colormaps: ( segmented-continuous (a and b) and categorical (c and d) colormaps), at two different data densities. (a) and (c) show data with the raw density from t... | [
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200 | 11 | 13 | Figure | {
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200 | 2 | 2 | Figure | {
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} | Fig. 2: Real-world large-magnitude-range quantum physics simulation results shown using (a)-(e) five bivariate featurepairs and (f) a traditional linear representation. LC, LCL, and LT can reveal scene spatial structures. We anticipate that two conditions determine the glyph efficiency: (1) the bivariate glyph uses two... | [
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200 | 12 | 17 | Figure | {
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200 | 13 | 18 | Figure | {
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200 | 3 | 11 | Table | {
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200 | 10 | 11 | Figure | {
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200 | 9 | 11 | Figure | {
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200 | 6 | 8 | Figure | {
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} | Fig. 6: Visual mapping using color and texture in Experiment II. From the top to bottom, colors and texture segments are mapped to exponent values from the largest to the smallest. The three numbers next to the 7-level colormap are the RGB values. The numbers next to the texture columns are the proportion of black-on-w... | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00002_1762333113/figures/2301.00002-Figure6-1.png | {
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200 | 14 | 19 | Figure | {
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200 | 15 | 19 | Figure | {
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200 | 8 | 20 | Figure | {
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200 | 1 | 6 | Table | {
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200 | 4 | 13 | Table | {
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200 | 4 | 12 | Figure | {
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200 | 7 | 18 | Figure | {
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} | Figure 7. Prediction error for (gj , hj) (first column), gj (second column), and hj (third column) for five different setups. The solid lines represent the mean prediction errors of each algorithm averaged over 10 runs, and the shaded regions represent the standard deviations. | [
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200 | 3 | 11 | Table | {
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} | Table 3. Proportions of top-three dominating answers in public datasets | [
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200 | 3 | 11 | Figure | {
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} | Figure 3. Empirical distribution of the mean incidence of responses sorted by the dominant proportion, averaged over all tasks in each dataset. The i-th data point represents the average incidence of the i-th highest response in each task. The error bars indicate the standard deviation of the mean incidence of the i-th... | [
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200 | 5 | 15 | Figure | {
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} | Figure 5. Training images with (a) lowest and (b) highest confusion probabilities. | [
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200 | 4 | 5 | Figure | {
"x1": 320.76,
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200 | 3 | 5 | Figure | {
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} | Figure 3: The information plane with the R − D curves of VAE, β-VAE, ControlVAE and eVAE on dSprites. | [
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200 | 5 | 6 | Figure | {
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} | Figure 5: Learning curves on dSprites1. (a,b) indicate that eVAE has the lowest reconstruction loss compared with VAE (β = 1), β-VAE (β = 4), and ControlVAE (KL = 19) under a fixed KL point KL=19. (c) is the element-wise KL divergence as a function of iterations in eVAE. We can observe that eVAE retains a stable and re... | [
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200 | 6 | 6 | Figure | {
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} | Figure 6: Latent traversal on dSprites. To distinguish the latent factors visually, we take the ellipse for illustration. Each row represents a latent factor in the traversal, while keeping others fixed. The first column refers to the seed image for initialization, and we then manipulate the latent dimension z across t... | [
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200 | 7 | 6 | Figure | {
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200 | 1 | 3 | Figure | {
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} | Figure 1: The framework of eVAE. The VAE results inform the chromosome sampling. The genes are then updated by variational V-crossover and V-mutation. The evolved results are checked per fitness for t+ 1 retraining, giving up, or converging. | [
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200 | 1 | 11 | Table | {
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200 | 8 | 11 | Figure | {
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200 | 2 | 4 | Figure | {
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} | Figure 2: eVAE - inner-outer joint evolutionary training process. The upper part shows the VAE training at time t, the objectives are then incorporated into the lower part - the outer training by variational genetic algorithm, whose fitness-based optimized results are fed to the VAE for further training. | [
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200 | 1 | 6 | Table | {
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200 | 3 | 9 | Figure | {
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} | Fig. 3. The explanation visualization on Mutagenicity when K = 15. Graph 3903 the label is 1, and the graph 3904 the label is 0. In this diagram, the first column is the original graph structure and the predicted label of the target GNN. The second to fourth columns are the explanation of graphs from GNNExplainer, Gem,... | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00012_1762333150/figures/2301.00012-Figure3-1.png | {
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200 | 2 | 9 | Figure | {
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} | Fig. 2. The explanation visualization of Node 709, the label is 1, on Tree-Cycles when K = 6. In this diagram, the blue nodes mean the prediction label of the target GNN is 1, and the grey nodes mean the predictions of the target GNN for these nodes are 0. The red circle node is the node that needs to explain why the t... | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00012_1762333150/figures/2301.00012-Figure2-1.png | {
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200 | 2 | 7 | Table | {
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} | Table 2. Results on Synthetic Datasets. | [
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200 | 1 | 3 | Figure | {
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} | Fig. 1. The framework of GANExplainer. We generate ground truth through the Gem distillation process. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00012_1762333150/figures/2301.00012-Figure1-1.png | {
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200 | 3 | 8 | Table | {
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} | Table 3. Results on Real-world Datasets. | [
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200 | 2 | 2 | Figure | {
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} | Figure 2: Overall Architecture of PRI-GSL. | [
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200 | 1 | 5 | Table | {
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} | Table 1: Accuracy ± standard deviation (%) of node classification. (Bold: best result; Underlined: runner up. ) | [
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200 | 5 | 6 | Figure | {
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200 | 6 | 6 | Figure | {
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200 | 7 | 6 | Figure | {
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200 | 4 | 2 | Figure | {
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} | FIG. 4. Maximum recoil velocity for different impact parameters b. For all the high spins studied here this peaks at b ≈ 2.38. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00018_1762333172/figures/2301.00018-Figure4-1.png | {
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200 | 5 | 2 | Figure | {
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} | FIG. 5. Display of peak velocity vs. γv and spin for merging holes. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00018_1762333172/figures/2301.00018-Figure5-1.png | {
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200 | 6 | 2 | Figure | {
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} | FIG. 6. Maximum recoil velocity for different initial momenta parameters γv and impact parameters b as a color map. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00018_1762333172/figures/2301.00018-Figure6-1.png | {
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200 | 7 | 2 | Figure | {
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} | FIG. 7. Maximum recoil velocity versus the settled spins value sr and its extrapolation to maximal spin sr = 1. (Blue points are extrapolation to infinite resolution, red points are the n100 low resolution results). | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00018_1762333172/figures/2301.00018-Figure7-1.png | {
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200 | 1 | 1 | Figure | {
"x1": 57.239999999999995,
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"y1": 29.52,
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} | FIG. 1. Evidence for the existence of a PeV bump in the diffuse flux of high-energy astrophysical neutrinos. The discovery potential is quantified via a Bayes factor (Section III) that compares the evidence for a two-component flux fit—a power law plus bump—vs. a one-component flux fit—a power law—after marginalizing o... | [
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200 | I | 9 | Table | {
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} | TABLE I. Free model parameters, their priors, best-fit values and allowed ranges, from a fit to the IceCube 7.5-year HESE event sample [7, 64]. Allowed parameter ranges are 68% one-dimensional marginalized credible intervals. Results are for fits with a pure power law (“Pure PL”), a power law with an exponential cut-of... | [
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200 | 5 | 13 | Figure | {
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} | FIG. 5. Upper limits on the height of a bump in the diffuse flux of high-energy astrophysical neutrinos. The bump flux component, Eq. (2), is centered at energy Eν,bump, has height E2ν,bumpΦν,bump, and width αbump = 1, and is overlaid on a power-law flux ∝ E−γν eEν/Eν,cut , with parameter values given by the best fit t... | [
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200 | 4 | 12 | Figure | {
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200 | 8 | 16 | Figure | {
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200 | 7 | 16 | Figure | {
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200 | 6 | 15 | Figure | {
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200 | 1 | 0 | Figure | {
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} | FIG. 1: Schematic diagram of GW echoes (stimulated Hawking radiation) from remnant of a BBH merger. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00025_1762333195/figures/2301.00025-Figure1-1.png | {
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200 | 6 | 5 | Figure | {
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} | FIG. 6: Posterior for extracted parameters Ā and σ from target distribution P̄(A, Ā, σ) for 47 events conducted in this paper. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00025_1762333195/figures/2301.00025-Figure6-1.png | {
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200 | 7 | 5 | Figure | {
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} | FIG. 7: Histograms to quantify false positive (GR injections) and true positive (GR+echo injections). Comparing to the GW190521 echo, we obtain their values as 1.46+1.17−0.875%, and 34.5± 7.3% respectively. | [
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200 | 2 | 1 | Figure | {
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200 | I | 3 | Table | {
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} | TABLE I: Results of Bayes factor for GW echoes in GWTC-1, GWTC-2, and GWTC-3 events. Positive value of the log10 Bayes factor indicates a preference for the GR+echoes model over GR model, while the negative value suggests instead a preference for the GR model over the GR+echoes model. Here GW190521 shows loudest echo. ... | [
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200 | 3 | 3 | Figure | {
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200 | 8 | 42 | Table | {
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"7",
"6",
"5",
"2",
"3",
"4",
"5"
] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure8-1.png | {
"x1": 86.17294311523438,
"x2": 533.0298461914062,
"y1": 329.9423828125,
"y2": 393.7090148925781
} |
200 | 9 | 25 | Figure | {
"x1": 102.24,
"x2": 472.32,
"y1": 52.919999999999995,
"y2": 548.64
} | Figure 9: The effective mass computed as in formula (19) as a function of time, for the first, second and third excited states in the q = 0 (++) sector and compactification length R = 40a, represented as blue, yellow, green dots, and for the ground state, first and second excited states in the q = 0 (−+) sector and com... | [
"t/a",
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] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure9-1.png | {
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} |
200 | 1 | 14 | Figure | {
"x1": 166.68,
"x2": 453.24,
"y1": 45.72,
"y2": 140.04
} | Figure 1: Increasing the blocking level of a link by one. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure1-1.png | {
"x1": 167.8800048828125,
"x2": 451.3163146972656,
"y1": 153.15740966796875,
"y2": 159.1409912109375
} |
200 | 2 | 14 | Figure | {
"x1": 184.68,
"x2": 430.2,
"y1": 367.91999999999996,
"y2": 468.35999999999996
} | Figure 2: For an Abelian gauge group there is no sharp distinction between string excitations and additional glueballs. | [
"For",
"an",
"Abelian",
"gauge",
"group"
] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure2-1.png | {
"x1": 86.1729965209961,
"x2": 533.022705078125,
"y1": 504.7804260253906,
"y2": 525.2100219726562
} |
200 | 3 | 20 | Table | {
"x1": 145.79999999999998,
"x2": 473.03999999999996,
"y1": 45.72,
"y2": 328.32
} | Table 3: The spectrum of Z2 glueballs in the 0+ sector at β = 0.756321 for different lattice sizes. | [
"Fitted",
"masses",
"0.2159(4)",
"0.3937(16)",
"0.5359(27)",
"25",
"0.1978(28)",
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"0.3519(75)*",
"30",
"0.2075(30)",
"0.2992(87)",
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"35",
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"40",
"0.2170(15)",
"0.3804(81)",
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"45",
"0.2144(... | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Table3-1.png | {
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200 | 12 | 29 | Figure | {
"x1": 59.04,
"x2": 523.0799999999999,
"y1": 182.88,
"y2": 476.28
} | Figure 12: Energies in the q = 0 (−−) sector at R = 40a = 2.76ls as a function of inverse transverse size. Horizontal lines of different colors represent the GGRT spectrum starting with N = Ñ = 2. | [
"1/l⊥",
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200 | 11 | 28 | Figure | {
"x1": 59.04,
"x2": 523.0799999999999,
"y1": 46.8,
"y2": 339.84
} | Figure 11: Energies in the q = 0 (−+) sector at R = 40a = 2.76ls as a function of the inverse transverse size. Horizontal lines of different colors represent the GGRT spectrum starting with N = Ñ = 2. | [
"1/l⊥",
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] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure11-1.png | {
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} |
200 | 4 | 38 | Table | {
"x1": 126.72,
"x2": 493.2,
"y1": 47.879999999999995,
"y2": 516.24
} | Table 4: The energies, E(R), of the lightest seven flux tube states with length R in the sector q = 0 (++). | [
"40",
"55×",
"55",
"0.1731(19)",
"0.3514(57)",
"0.4407(90)",
"0.5443(86)",
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"0.5694(118)",
"0.6240(146)",
"40",
"55×",
"70",
"0.1766(14)",
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"40",
"65×",
"70",
"0.1772(17)",
"0.3662(70)",... | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Table4-1.png | {
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200 | 6 | 21 | Figure | {
"x1": 77.03999999999999,
"x2": 511.2,
"y1": 46.8,
"y2": 317.52
} | Figure 6: Energy differences with the ground state for q = 0 excited states in the (++) parity sector as a function of string circumference at different string lengths. Blue curves are the (1, 1) and (2, 2) GGRT levels. The red horizontal line is the fitted resonance mass. | [
"R/`s",
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] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure6-1.png | {
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} |
200 | 15 | 33 | Figure | {
"x1": 59.04,
"x2": 523.0799999999999,
"y1": 160.92,
"y2": 454.68
} | Figure 15: Energies in the q = 0 (++) sector at R = 55a = 3.80ls as a function of inverse transverse size determined using an extended operator basis. Horizontal solid lines of different colors represent the GGRT spectrum starting from N = Ñ = 0. The lower dashed blue line represents the energy of the absolute ground ... | [
"1/l⊥",
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] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure15-1.png | {
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} |
200 | 7 | 41 | Table | {
"x1": 148.68,
"x2": 470.15999999999997,
"y1": 148.68,
"y2": 512.28
} | Table 7: The energies, E(R), of the lightest three flux tube states with length R in the sector q = 0 (−−). | [
"70×",
"70",
"0.7911(92)",
"0.8396(220)",
"0.8715(63)",
"25",
"0.6850(68)",
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"0.7775(99)",
"30",
"0.6349(27)",
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"0.6008(74)",
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"0.5763(71)",
"0.6459(125)",
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"45",
"0.5709(35)",
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} |
200 | 4 | 17 | Figure | {
"x1": 108.72,
"x2": 474.12,
"y1": 45.72,
"y2": 548.28
} | Figure 4: The effective mass computed as in formula (19) as a function of time for the absolute ground states at string circumference R/a = 20, 40, 60, 80, represented as blue, yellow, green and red dots. The horizontal solid lines are the resulting fitted values of the state’s energies. The shaded bands represent the ... | [
"t/a",
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200 | 10 | 27 | Figure | {
"x1": 59.04,
"x2": 523.0799999999999,
"y1": 76.67999999999999,
"y2": 370.08
} | Figure 10: Energies in the q = 0 (++) sector at R = 40a = 2.76ls as a function of the inverse transverse size. Horizontal lines of different colors represent the GGRT spectrum starting with N = Ñ = 0. The brown dashed line represents the resonance mass. | [
"1/l⊥",
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} |
200 | 5 | 39 | Table | {
"x1": 201.95999999999998,
"x2": 417.24,
"y1": 148.68,
"y2": 512.28
} | Table 5: The energies, E(R), of the lightest flux tube state with length R in the sector q = 0 (+−). | [
"70×",
"70",
"0.9337(259)",
"25",
"0.8790(60)",
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"0.8055(221)",
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"0.7678(83)",
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"0.7155(172)",
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"... | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Table5-1.png | {
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200 | 16 | 35 | Figure | {
"x1": 59.04,
"x2": 524.16,
"y1": 171,
"y2": 463.68
} | Figure 16: Energies in the q = 0 (−+) sector at R = 55a = 3.80ls as a function of the inverse transverse size determined using an extended operator basis. Horizontal solid lines of different colors represent the GGRT spectrum starting from N = Ñ = 2. The dashed green line represents the energy of absolute ground state... | [
"1/l⊥",
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"7",
"0.05",
"0.10",
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"0.20",
"0.25"
] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure16-1.png | {
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} |
200 | 2 | 16 | Table | {
"x1": 133.92,
"x2": 485.28,
"y1": 177.84,
"y2": 213.12
} | Table 2: Basic parameters of our simulation: the value of the coupling and its critical value, the range of the string circumference and its critical value, the string tension and the lightest glueball mass. | [
"0.756321",
"0.7614133(22)",
"[20,80]",
"∼",
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"0.2159(4)",
"β",
"βc",
"R/a",
"Rc/a",
"a/`s",
"amG"
] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Table2-1.png | {
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200 | 14 | 31 | Figure | {
"x1": 59.04,
"x2": 523.0799999999999,
"y1": 182.88,
"y2": 476.28
} | Figure 14: Energies in the q = 1 (−) sector at R = 40a = 2.76ls as a function of the inverse transverse size. Horizontal lines of different colors represent the GGRT spectrum starting from N = 1, Ñ = 0. | [
"1/l⊥",
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} |
200 | 9 | 43 | Table | {
"x1": 107.64,
"x2": 512.28,
"y1": 45.72,
"y2": 601.1999999999999
} | Table 9: The energies, E(R), of the lightest six flux tube states with length R in the sector q = 1 (−). | [
"65",
"0.4058(23)",
"0.5346(49)",
"0.6342(53)",
"0.6606(68)",
"0.6921(83)",
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"70",
"0.4230(26)",
"0.5555(52)",
"0.6418(222)",
"0.6895(86)",
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"75",
"0.4357(42)",
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"0.6660(86)",
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"80",
"0.4572(45)",
"0.5701(84)",
"0.7048... | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Table9-1.png | {
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200 | 6 | 40 | Table | {
"x1": 72,
"x2": 547.1999999999999,
"y1": 148.68,
"y2": 512.28
} | Table 6: The energies, E(R), of the lightest four flux tube states (for 40× 160× 70 it is five) with length R in the sector q = 0 (−+). | [
"70×",
"70",
"0.4497(43)",
"0.6023(116)",
"0.6516(268)",
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"0.4572(88)",
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"0.8336(357)",
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"0.4634(65)",
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"35",
"0.4784(45)",
"0.5851(41)",
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"0.7736(329)",
"40",
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200 | 7 | 23 | Figure | {
"x1": 82.08,
"x2": 511.2,
"y1": 46.8,
"y2": 314.64
} | Figure 7: Energy differences with the ground state for q = 0 excited states in the (−+) (blue dots) and (−−) (brown dots) parity sectors as a function of string circumference at different string lengths. The blue curve is the energy of the (2, 2) GGRT level. | [
"R/`s",
"∆E`s",
"10",
"8",
"6",
"4",
"2",
"3",
"4",
"5"
] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure7-1.png | {
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} |
200 | 1 | 8 | Table | {
"x1": 113.75999999999999,
"x2": 508.32,
"y1": 114.83999999999999,
"y2": 562.3199999999999
} | Table 1: Table with the states of the lowest GGRT levels with q = 0, 1 and Nl+Nr ≤ 6. | [
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"a3a−2|0〉",
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"a2a1a−1a−1|0〉",
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200 | 13 | 30 | Figure | {
"x1": 59.04,
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"y1": 182.88,
"y2": 476.28
} | Figure 13: Energies in the q = 1 (+) sector at R = 40a = 2.76ls as a function of the inverse transverse size. Horizontal lines of different colors represent the GGRT spectrum starting from N = 2, Ñ = 1. | [
"1/l⊥",
"√",
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200 | 5 | 19 | Figure | {
"x1": 168.12,
"x2": 428.03999999999996,
"y1": 45.72,
"y2": 211.32
} | Figure 5: The absolute ground state energy at different string lengths in string units. The solid line is the GGRT approximation for the ground state energy. | [
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"4",
"5",
"0"
] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure5-1.png | {
"x1": 86.17298889160156,
"x2": 533.0275268554688,
"y1": 225.55145263671875,
"y2": 245.98004150390625
} |
200 | 3 | 15 | Figure | {
"x1": 142.92,
"x2": 476.28,
"y1": 45.72,
"y2": 235.07999999999998
} | Figure 3: The set of operators used in our simulation. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00034_1762333206/figures/2301.00034-Figure3-1.png | {
"x1": 171.5189971923828,
"x2": 447.6866149902344,
"y1": 248.242431640625,
"y2": 254.22601318359375
} |
200 | 1 | 2 | Figure | {
"x1": 50.76,
"x2": 544.3199999999999,
"y1": 54.36,
"y2": 172.79999999999998
} | Figure 1: Diagram of the mQE-CGAN framework. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00036_1762333216/figures/2301.00036-Figure1-1.png | {
"x1": 196.40199279785156,
"x2": 398.8725280761719,
"y1": 180.3448944091797,
"y2": 190.177978515625
} |
200 | 1 | 4 | Table | {
"x1": 307.8,
"x2": 541.0799999999999,
"y1": 550.8,
"y2": 693
} | Table 1: Generator evaluation metrics of the selected dataset of companies. Company names are replaced with placeholders as C. To provide further context; Company 1 (C1) is a Turkey-based cosmetics company, Company 2 (C2) and 4 (C4) are fashion retailers originated in Turkey, and Company 3 (C3) is a worldwide technolog... | [
"TF-IDF",
"1.218",
"3.39",
"1.20",
"(0.686,",
"0.272)",
"Word",
"Sim.",
"1.285",
"3.626",
"1.02",
"(0.736,",
"0.209)",
"Document",
"Sim.",
"1.28",
"3.605",
"1.15",
"(0.721,",
"0.203)",
"C4",
"Baseline",
"Generator",
"1.292",
"3.650",
"1.26",
"(0.709,",
"0.217)",... | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00036_1762333216/figures/2301.00036-Table1-1.png | {
"x1": 306.60400390625,
"x2": 543.971435546875,
"y1": 700.9558715820312,
"y2": 739.718994140625
} |
200 | 4 | 4 | Figure | {
"x1": 50.76,
"x2": 274.32,
"y1": 172.44,
"y2": 339.84
} | Figure 4: Statistics of the query and the document datasets utilized in the study. For each dataset, bars at the top display the maximum, average, and minimum number of words in queries. Similarly, bottom bars display statistics of the document corpus. For all datasets, the average number of words in user searches are ... | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00036_1762333216/figures/2301.00036-Figure4-1.png | {
"x1": 51.30699920654297,
"x2": 288.6759033203125,
"y1": 348.1768798828125,
"y2": 441.6968994140625
} |
200 | 2 | 7 | Table | {
"x1": 52.919999999999995,
"x2": 541.0799999999999,
"y1": 65.52,
"y2": 176.76
} | Table 2: Randomly selected generated samples and their corresponding query and reference document pairs. Generated sequences are obtained after the adversarial learning The generator of the framework was selected as Word Similarity model. For each different company dataset, three examples are displayed in the table. Wh... | [
"kareli",
"gömlek",
"slim",
"fit",
"gömlek",
"slim",
"fit",
"kareli",
"gömlek",
"polo",
"yaka",
"tisort",
"{company",
"name}",
"polo",
"yaka",
"cepsiz",
"regular",
"fit",
"polo",
"yaka",
"tisort",
"C4",
"mont",
"{company",
"name}",
"klasik",
"regular",
"fit",
"s... | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00036_1762333216/figures/2301.00036-Table2-1.png | {
"x1": 51.30699920654297,
"x2": 543.9644775390625,
"y1": 184.71182250976562,
"y2": 215.5048828125
} |
200 | 3 | 3 | Figure | {
"x1": 82.8,
"x2": 257.03999999999996,
"y1": 276.48,
"y2": 491.03999999999996
} | Figure 3: LSTM based discriminator model of the mQECGAN framework. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00036_1762333216/figures/2301.00036-Figure3-1.png | {
"x1": 51.30699920654297,
"x2": 288.67169189453125,
"y1": 498.421875,
"y2": 520.2109375
} |
200 | 2 | 3 | Figure | {
"x1": 99.72,
"x2": 495,
"y1": 54.36,
"y2": 223.92
} | Figure 2: Diagram of the Monte Carlo rollouts. At each step, a batch of sequences are generated by the decoder of the network. These batches are evaluated by the discriminator to guide the generation process of the generator model. | [] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00036_1762333216/figures/2301.00036-Figure2-1.png | {
"x1": 51.30699920654297,
"x2": 543.9675903320312,
"y1": 231.9119110107422,
"y2": 253.70098876953125
} |
200 | 5 | 25 | Figure | {
"x1": 200.88,
"x2": 399.24,
"y1": 146.88,
"y2": 240.12
} | Figure 5: Moving a monopole of magnetic charge p from one boundary to another creates a Wilson line of electric charge kp. | [
"≈"
] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00038_1762333224/figures/2301.00038-Figure5-1.png | {
"x1": 124.80198669433594,
"x2": 468.5150451660156,
"y1": 270.341552734375,
"y2": 288.56304931640625
} |
200 | 4 | 20 | Figure | {
"x1": 124.92,
"x2": 469.08,
"y1": 124.56,
"y2": 187.92
} | Figure 4: The bulk monopole Mp is connected by a Wilson line of charge kp to the Dirichlet boundary. In the Q-cohomology, due to the topological invariance in the t direction, this is equivalent to the boundary monopole Mp. | [
"Mp",
"Wkp",
"⇐⇒",
"Mp"
] | /home/yz979/palmer_scratch/chengye/SciMolmo-LaTeX-Source-Processing-Toolkit/pdfparser/pdf2latex/2023_new/temp/figures_2301.00038_1762333224/figures/2301.00038-Figure4-1.png | {
"x1": 124.80203247070312,
"x2": 468.5137939453125,
"y1": 214.87152099609375,
"y2": 246.54302978515625
} |
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