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This variability can be attributed to the known instabilities of large pre-trained language models {{cite:1cd790f9955556830827f7abc6aadce8d33d1ead}}, but this does not explain it all. Choosing a right set of data points is another extremely important factor in few-shot learning that calls for better selection of traini...
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Figure REF shows the total energy consumption and training speed normalized by the energy and speed of 2-GPU training. The DimeNet We note that the authors of DimeNet have released DimeNet++ {{cite:326505a9c9e876a488becb005222e58b3c7d2eb6}}, which is an optimized architecture with faster training that may alleviate so...
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263dc362e9ba0cad2f95e35b191d57ce
Motivated by the powerful expression and approximation ability of deep neural networks, in particular the great success of convolutional neural networks (CNNs), the deep learning based methods have become the mainstream in crowd counting and made remarkable progress {{cite:27c2686566afc917094fb028406cfb6e2b2cd4e1}}, {{...
i
dd9c81342b6c92f2416a770014e3ae62
is small, where {{formula:7171dd6a-4574-4b86-ab17-109373624268}} is a pre-defined value and {{formula:0e225536-e754-4234-a6a3-94cb1b270aec}} is some loss function {{cite:82c8216e773f20963d65d3a564aadf6defa8d030}}. This simplification helps analysis and implementation. In spite of this, the robustness with small {{for...
i
bb5cd9cc453626e73f5b5d62dcacd86a
We evaluate all methods using three metrics, i.e. {{formula:72b10cfa-e7a0-4ac9-b2cd-3880e21650ad}} , {{formula:46098c7b-70de-4066-ade1-b4526a9d98ed}} and {{formula:483b1b49-674b-45b3-8faa-aa817fce4b95}} . {{formula:60754b3a-c744-4487-a5ec-62986fffba47}} ({{formula:0375eae7-a847-4496-a179-bba244c0290c}} ) denote the c...
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6526645e14ec4ae38b15117a0cb84113
Colour Normalization: Because the images are from different sources, various lightning conditions change the visual appearance of the skin lesions. Traditional conversion to grayscale images would lead to significant lost of input information, therefore we aimed for colour constancy algorithms. This topic was already c...
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f5b118de458af51a4ec3a3c33a5c4ace
The next lemma summarizes comparison theorems for Gaussian and Rademacher averages, see {{cite:8cc2accd9b6bd520678dda3306382d245d103123}}. It will facilitate generalizing the equality (REF ) to an upper bound for {{formula:3a895ace-3635-43e0-a73d-becd21a8e021}} -norms of random variables of the form {{formula:67f1c145-...
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939390caa63856eda9a73fcf68b6b4c0
The key challenge in our problem setting is that we must optimize the parameters of the encoder and the conditional NeRF MLP in the decoder from a collection of unposed single-view images. Inspired by earlier work {{cite:23e094a3263d0dd8120302660015b158175614fe}}, {{cite:42acafc00a69227d0b474b1bc6272433e345ad27}}, {{ci...
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68f428c3fdd5958b1c2f07f1984c7f94
Here the energy release by {{formula:ce28c8ce-3cec-4b24-9239-ea0a9097ad00}} O burning is {{formula:78bb62a5-cc1c-4c29-a795-bc72308e1122}} per nucleon {{cite:9287c776cd47f78028eb70f771cc12b44c34e7b8}}, {{cite:1b82394e7c4387758b132d58ae8ce5a5ef44e78a}}. The contraction timescale of the helium core is the dynamical times...
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40555f233ef14f894b4d47b7889ca1a5
This brings to one of the future directions. We would like to augment or replace VTP with pruning tecniques that actually consider the importance of a group of weights (dimension in VTP is one type of grouping) for final accuracy. For example, Taylor pruning {{cite:92080eea6d29491443f17ea61f726778951a4b84}} estimates t...
d
a57268ac1880f2c9b1f9bd7d8ddb5240
We have studied the quantum integrability and chaos of a {{formula:e6cb42d1-52cb-4310-aaf3-3e0acf533803}} d chiral SY model consisting of N copies of the SU{{formula:c72ea350-d9ad-4b86-8750-1f568a660a98}} chiral WZW models with chiral current-current interactions among each other with coefficients {{formula:074699ab-f...
d
b4d618af06012090dc45b31836cd8637
The {{formula:c7fa085d-fed0-4efb-a766-a084115bec8f}} branching fraction {{cite:3704b27aaa6902ca7d8852beb0267d3b84247c61}}, measured by B AB AR {{cite:10fbc21b0e79cea05c1f9008abd3d9bfb7bce8a5}} and Belle {{cite:493f08453dc847a257622eadea9dcff2fd477079}}, is very sensitive to contributions from a charged Higgs boson. Th...
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469bcfa87b030266dc0e41fcc5183144
The 5 different neural networks were trained over 3 random seeds, and the best overall performance for each one of them was selected. The evaluation procedure is similar to the AutoML benchmark in {{cite:20b0074da92960defa6b2a5eb682808788c8eb1c}}, {{cite:25d397c362ddf1fb676f937b5172ffbc7e1883ee}}, and the benchmark res...
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38be9f57feadbe0af1661b234a6544ea
We have used our unitary trilinear Hamiltonian model to investigate issues of entanglement between various bipartite divisions of the modes involved for both short-times when energy in the BH is roughly large and constant and at late-times when the BH is evaporating. Specifically, we have examined the entanglement (via...
d
037dfca3d92b28568dc18b2d9f82b7ad
Our analysis has been able to determine that the existence of the islands does not only depend on the microscopic parameters in {{formula:332ef83d-5ca1-4bcd-bb37-986e3ded481b}} , but both on {{formula:0088479d-c92a-465c-bc72-b4689eeb3f67}} , where {{formula:a4bb69d3-a403-4777-8235-a97135b334aa}} is the variation of th...
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ab192f3daace3e1717f4072cd4936225
Our primary contribution is an approach to generating and evaluating personalized content in games in a way that is independent of both agent architecture and game. The agent independence is achieved through using the OpenAI gym interface {{cite:e10aee755ebfe055b923ba35aaaa1143d79d1491}}, which is already widely adopte...
i
d77e338e1e201b0ab9caa7e4bcde64e3
Such a crucial rôle of families is reminiscent of the KM mechanism {{cite:f320b3c3d59074f9113a3ef53f28c897d44773f8}} for CP violation which is non-zero only if all the three families participate as shown by the Jarlskog determinant {{cite:f31f58b33462e0ca7bfc5fa5801eabe6c2faab3c}}.
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2605a3738017957027cbcd1a659b3a85
This article comes last in a series of three articles where we investigated the conditions for a more biologically plausible self-organization process. In the first article {{cite:d72a5d80fbb4ef302c7e7b38787a688b302bb7a4}}, we introduced the dynamic SOM (DSOM) and showed how the time-dependent learning rate and neighbo...
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7fb1fbe5afd9d64366493f283b74b5db
Our work demonstrates the effectiveness of neural spatial representations in solving time-dependent PDEs and observes empirical convergence under refinement (see 3delasticityconvergence). Future work should consider theoretical analysis {{cite:5d631ce7d8e4412d2b3be9f3cd59619f74595d84}} on convergence and stability. Mor...
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bda0a5fb975dd4f2bc6ba1c5cb56ca79
The method is compared with current state-of-the-art methods to show the effectiveness of the developed parameter optimization. Only methods using RGB-D data are included as these have the highest performance. We showcase the results using the CosyPose {{cite:cc60376deef68af0cde251c3ef39a41900c2b933}} detector with the...
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9d6605335d367be1c57ac6d005dabd27
Now we discuss the broad comparison of the band structure and FS topology between ACo{{formula:73e48642-6205-4713-a23c-eb1f124240aa}} As{{formula:1be2b3cb-3591-4474-8f9f-a21e2c821667}} and AFe{{formula:bd8cff21-30fa-4e9e-8c50-6c6c315ff86d}} As{{formula:7b244b92-b500-4d72-a79b-ee8b136a973b}} compounds. Overall, the el...
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b710a69e74a5099bea66aa0367f82d92
While B-tipping can be found and continued in system parameters on applying tools from theory of autonomous bifurcations {{cite:bb932d2915fc51f61f77fbe5e5e9d908819b4a43}}, {{cite:6da4c92a582db8005b16ab0e043e939b69af162b}}, {{cite:73c6da3d3b370238bdca430409e14ea9a608c9c0}} to the autonomous frozen system (REF ), this is...
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b24f3bf26d9180d9688d5da346be3127
Existing observations present a complex and incomplete picture. Many studies have found evidence for a reversal of the star formation-density relation at {{formula:6dd1073e-f7f7-487b-9f0d-7293a09f50c7}} , with enhanced sSFRs relative to field levels in overdense environments {{cite:7543c8ce0dc8e6d8dde355a41e450560b6370...
i
e79e3efc379c6509b573c686d19b4422
Another approach to study the non-perturbative QCD effects is the rescattering mechanism. In this framework, the non-perturbative QCD effects are modeled as an exchange of one particle between two particles generated from the short-distance tree emitted process. It forms a triangle diagram at hadron level. The rescatte...
i
acebf6d14b1cf3533d6c53f15e61d270
In our results, we evaluated four different matrix inverse calculation for our regression method which are Gaussian Elimination with and without secure computation, Secure Inverse Method for matrix inversion, and regular inverse calculation (without secure computation). We used linear Support Vector Regression (SVR) {{...
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7aa04f40a41ff4a0be4dcac98707506b
Here, we investigate skill transfer from a high-resource language, i.e., English, to a low-resource one, i.e., Bulgarian, for the task of multiple-choice reading comprehension. Most previous work {{cite:a3a235993e7473ed92482cb9f023f7becf900f39}}, {{cite:fe3cc18c8eee0c21b3daf43d7e808af16c7b0c55}}, {{cite:4832967eb6096a8...
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8903486823e85bcafb8a5fc8a1541b50
Figure REF is the overview of hierarchical Crossover-SGD with hierarchical communication. In this figure, hierarchical Crossover-SGD is presented in three steps. The first step is to reduce the gradients of the worker nodes in each group. In this step, we reduced the gradients for two reasons. First, it utilizes compu...
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dd4360ade53cf82d757c07dda898724f
Next, to demonstrate the universality of the proposed concept based on an example, we design a 3-port ({{formula:6251627c-1b90-468c-8c77-f66cb51a4c51}} ) metasurface power combiner. Without loss of generality, we specify the angles of ports 1 and 2 as {{formula:32ea0eb8-f1b6-4695-aa24-4da5073c56b5}} and {{formula:2487...
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4906316d4062c653bc5e75f720b2c292
According to the manuscript, the Chamfer Distance is with L2 norm. However, PCN {{cite:b70c1427485ff482a8449b136d6d3d59cad1c642}} adopts the Chamfer Distance with L1 norm as an evaluation metric, which can be formulated as follows {{formula:5f0535b3-375f-4da3-b465-2df34f71a4d2}}
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f930f74da2c2eb8e87fa21a449043082
The Brunn-Minkowski inequality is a fundamental geometric inequality in the classical Brunn-Minkowski theory. It gives the log-concavity of the Lebesgue measure and implies the classical isoperimetric inequality in the Euclidean space. Gardner's excellent survey article {{cite:3437d79abd37b384663d219026b15923e73973af}}...
i
5a6913ba060d571df53787ad1f81681b
{{formula:bd548639-cf5c-4a37-ab50-be2e47281218}} is strongly elliptic with respect to {{formula:d7ab1272-4c3c-4cfe-bab7-1b970cd53e25}} of arbitrary order {{formula:741f5e9a-393e-4d04-9f0b-68b68889138d}} Examples are fractional operators of the form {{formula:6e9e619d-7611-4822-b8c1-92166836b348}} {{formula:e49b1ac...
i
01cade58edc8e8d122845ffc298dd805
In contrast to the standard differential privacy model {{cite:7d44c4344cce59a52d3a9e35cc164780789644b3}}, in which the learner collects the true data while releasing a private output to protect privacy, in the LDP model, the learner only has access to corrupted input data from the users. Hence, LDP often provides a muc...
i
16a7314c8b5ba2e99b9dd29f6257a2c2
In this article, we have derived two analytic RARs (one for the hydrostatic framework and one for the NFW framework), which are applicable for the central region of galaxy clusters. The analytic RARs are particularly good for describing large and massive non-cool-core clusters. In fact, many previous related studies fo...
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57f31e9eb090e515e324bebc5c80f67e
Several methods have been proposed to learn disentangled representations. Here we are interested in evaluating the benefits of disentangled representations that have been learned through unsupervised learning. In order to control for potential confounding factors that may arise in using a single model, we use the repre...
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Recently, the availability of large annotated training sets and the accessibility of affordable parallel computing resources via GPUs have made it feasible to train “deep” ConvNets (also popularized under the keyword: “deep learning”) for computer vision classification tasks. ConvNets features are trained from the data...
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fb8a4cdfd71ad88528add658cec44aa2
Different data sources. In practical settings, it is of interest to learn the graph from heterogeneous data that may not be independent and identically distributed. Examples include data collected from several related populations that have common structure, and data collected over time. There has been some work to addr...
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f0e1d62a603e004a446d848b8a3ee3ff
Our results: We propose an exact algorithm for the DkConP problem. The running time of the algorithm is {{formula:2d3a7e93-ef2f-462f-8092-ebd1b8de6e97}} , which is an improvement over the previous best exact algorithm (running in {{formula:95761adc-a09a-43fb-af78-b11a03099000}} ) {{cite:6920f87ee41e931613d3d3bbd6762196...
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Theorem 4.1 (see {{cite:d3c79b6672a00449ea1f00aaac0bb62dbe9436a4}}) Let {{formula:c718465a-a5da-4d85-aafb-9c669d171db6}} be a proper lower semicontinuous function. Consider a sequence {{formula:c7b766c5-a1a5-4f03-928f-27c0248d4255}} that satisfies Condition (H1)-(H3). If {{formula:d236543c-93b4-451a-8feb-aa77ba57cf7...
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86c754e8f6a349f28332e2ab155aa3ea
If the higher frequency flux densities at 15.5 and 31.4 GHz from {{cite:c7a2142c54adc2f9f7c61be06437acd3af7bfc48}} are discounted – see Section  – the available flux densities in Table REF (see Fig. REF ), apart from those from {{cite:7470045944947c13d0de7e0e8f43a3c34ce064af}} are consistent with a flat radio spectrum...
d
7d35f228d0a7c97f3a595047f987c43a
In this section, we will solve the BS equation numerically and study whether the {{formula:8d6510d8-77d7-489d-8af0-ef865274ac33}} -wave bound states composed of two pseudoscalar mesons exist or not. In our model, there is only one parameter, the cutoff {{formula:65c4b523-816e-4db3-a154-819075f521c4}} , which comes from...
r
e343b959d389680b4fa51f4f3af0ab2e
Using advantages of both facial and gait analysis, we propose a method to automatically annotate the gender of front-view walking sequences with facial analysis models to generate training data for a gait-based gender recognition system. Through experiments on the popular Front-View Gait (FVG) {{cite:18356d2738ce322e88...
i
8372a1d45465b9a34cccf8dba8b5da44
The final accuracy for each model is reported in Table REF . One can observe that our monolingual French model performs only slightly better than a multilingual model (mBERT), which could be attributed to the characteristics of the PAWS-X dataset. Containing samples with high lexical overlap ratio, this dataset has bee...
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b6d5a83746858379f3be6507cc2120e4
As the first step in the numerical solution process, the initial condition given in (REF ) is used to specify the slip boundary condition (REF ) for the flow problem. The self-propulsion speed {{formula:5e3e77ed-6d67-4f24-8f54-4e61b1f73a86}} at any instant of time {{formula:83b132d8-0246-497f-ab89-422fe6fe5eef}} must...
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In the diffusive limit the Green function can be expanded up to the first two terms of 2D harmonics, namely {{formula:dc1ad96f-cdee-404d-bbfc-f050bd90a52c}} , where the zero harmonic is isotropic and its amplitude is larger than the first harmonic. We substitute this expansion into Eq. (REF ) and perform an integration...
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d3869e930f3687ef4dd9a3d7273261f0
We compare our results with SRC {{cite:39e39cc692cee0d19cd39148b268072ecc141996}}, LC-KSVD {{cite:c8f522b8f1be6040f760b1880f4f0dbd58d0cd31}}, DeepSC {{cite:a0d329756d498233515aec57e24c69b9a00211f2}}, DSN {{cite:67188ddacb60a9cc43b6ba9f3ef9eae9fa6c01a2}} and other state-of-the-art approaches: ScSPM {{cite:d118e8225e5549...
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0b5e23d61bd0c369a35402ef2a436400
Transformers have revolutionised the natural language processing (NLP) domain with their ability to handle context over long sequences of data and achieving human-level accuracy for various tasks, such as language translation, text summarization, question answering, language modeling, and text generation {{cite:23b1ad8...
i
25ea3de7e760d87d8bc0680df952056c
We also implemented two other deep learning architectures with pre-trained word embeddings, Word2Vec and fastText which were extended with GRU, LSTM, and CNN deep network layers. Word2Vec {{cite:a0d721cb2565bbb1bdd6ad71f5f073d10011c136}} has been quite successful for SA across several languages, including Bengali {{cit...
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cf33f84f5b5b646f23674794453299d4
The proposed method was validated both qualitatively and quantitatively on the T1 modality of Brain Tumor Segmentation (BraTS) 2018 databasehttps://www.med.upenn.edu/sbia/brats2018/data.html. From a total of 210 patients each with 150 slices, we randomly selected 16 patients for testing and the remaining subjects were ...
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6bf7524d1120bf6b775b3d7e4ab34e37
We study Euclidean SU(2) Yang-Mills theory on the hypercubic lattice {{formula:b049f987-34c8-4656-8bb7-24c52cb479a4}} with dimension {{formula:a9c541d1-b704-4a35-849e-4072e029930f}} . It is widely believed thatSee, for example, the book {{cite:1f22085d3391a7bbefcf3e9dcb72a80ef7ff39de}}. the gauge theory shows a quark ...
i
4e74c3a7ed4fee9d98f703ae43b37dd1
Our work builds over an extensive literature on entropy-regularized reinforcement learning {{cite:b0c1985b650cee35bc0931a054c4a458154c841b}}, {{cite:06502b0fb773bdd663d79aba571c975933f8a697}}, {{cite:d9cafec80f6837fba859ed8dc0c055227840d4cd}}, {{cite:e9a6adc603226dbb358fbcf5955aba62f59e2331}}, {{cite:1c7abce49d5b1fc351...
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a0376319f0c19d237bc7ed4f25329798
In the previous section, we showed that the IVA cost function is a special case of the TRINICON cost function up to an additional factor of two originating from the representation of complex-valued random numbers. To this end, we simplified the TRINICON model by relaxation of the linear demixing model to a circulant on...
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65a5f6d414cabcfa5f84cd3d2033327c
(2) Controlling the superfluid in Fig.REF c: The SF is flowing with a finite velocity {{formula:1ea8d480-6d37-4951-85df-a1845fcda2a5}} . It was discussed in {{cite:1d9c56fcab2db5564e0df7d88416378518d70f9e}}, {{cite:2e1056a8b59673f29b3fcd999f2b347c6d248c1d}} and more recently in {{cite:6216a8bfd27bb3c21ac1be78c2760e750f...
i
14ab756933838e0307c2f72371582112
A key in the analysis is to carefully utilize the design of the stochastic estimator of the gradient. Traditional methods that simply use an unbiased gradient estimator of the objective function are not applicable to many problems and also suffer slow convergence due to large variance of the unbiased stochastic gradien...
i
b1c2e048591a925c0f2faeb59b07f2c9
Performance Evaluation of DispNet-B. To further compare DispNet-B with other stereo matching methods, we evaluate the performance of DispNet-B on the subset of Flying Things 3D (clean pass, disparity {{formula:75244377-1c4f-455d-a560-869140bd6bf2}} 96 pixels) test dataset. Since we only care about the results of predi...
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232e59d788d7be2e97e1fb40673de01d
We have now extended the renormalization group functions of QCD in the {{formula:560c781e-f06e-47d0-883d-32541bc9a160}} scheme to five loops. In addition the 2-point functions of the three fields are also available to four loops in the same scheme. However the results of more immediate use provided in this article are...
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c6d494224a6dfe8f4d956cd3a0224703
To the best of our knowledge the graphs scaled to in this work are the largest successfully considered by learnt heuristics for Max-Cut – with ECO-DQN {{cite:6a6ff09f19932313a4727bf8b5988c2d43acda51}}, S2V-DQN {{cite:62a0e58d7187907335b55ae9a6496ab6aec9c49d}} and the RL-SA algorithm of {{cite:729268959f596c82901dfa653d...
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aefa393e15979fc6df5bba6f7948cd88
In the imaginary time formalism, the one-loop integral associated with diagrams such as the one shown in Fig. REF is given by {{cite:68e30b4e338f90d55d9799355406f45b927acdfa}}, {{cite:5f2e297d6251eea70839b5e628947092a5b70ad7}} {{formula:f9d014e3-0b6e-40db-8aba-9f71c27ff3da}}
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8925e0cfab41f5be2bb7276e24a2bc9b
For the computation of the scalar spectra, we did not create gaps of the temperature time series to distinguish between the gas and liquid phases. This is mainly due to that the response time of the thermistor is comparable to the bubble residence time and the bubbles have similar temperature as the surrounding liquid,...
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037fc8027fa105f912413731e55ca952
Classification models transform CE into classification {{cite:358bb60246a7550a5e644c599f3ff71e98e19dde}}, {{cite:21a641e84c8415ec82921e9a36ad63b85b65ce0a}}, {{cite:f090763682f1404d5a6fd76ed757953865deea64}}, {{cite:10a931c5242366df05ca079f0f794ea0c0015a0f}} to determine which concept in a predefined set meets hypernym-...
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96fe064d59954aa6b47dfc5f3e83bfe0
Other pairs of modalities. We were interested whether the improvements obtained by CrossCLR are specific to video-text retrieval or if the loss generalizes well to other pairs of modalities. To this end, we compared CrossCLR to the NT-Xent loss {{cite:58d1e77deb9edf83d7346f33345e3e70b1672574}} on various combinations o...
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The proposed method NeXt, based on the FCM clustering algorithm, outperforms all the other implemented necrosis extraction approaches in terms of both spatial overlap-based and distance-based metrics. Adaptive thresholding using the Otsu's method {{cite:542cd67e032538b39a89be7f0d6325cb482adfcc}} achieves good segmentat...
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031e38b759e8f09f6df31a213b66845d
The F555W and F814W HST filter exposures provide the deepest CMD of the cluster available to date. The theoretical Padova isochrone ({{cite:c004a43d4305bd9d82b3a5a1532b7c018165264d}}) that best fits our CMD suggests that the distance to the cluster is 10.5 {{formula:33ff6f73-1655-4ad0-92b8-c93ca9ad5720}} 0.4 kpc, it h...
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33e1ea2b89dba309b8006c4db9989f7d
Text Generation for Audio Recognition. In Table REF , we test our model on audio recognition task. With audio only or both audio and image as inputs, we calculate the word error rate (WER) between model's output text and ground truth. The compared methods include several API from Baidu and IBM companies and a state of ...
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bcf674cfb1e85b0ea4b836de38b8ee28
We use PyTorch to implement our tree optimization algorithm, denoted Ult. Tree.All code is publicly available on https://github.com/chens5/tree_learning. We compare the performance of our method with Sinkhorn distance {{cite:aa9b9e314ce8d4ef68b9dedb661036251b6eec2e}}, Flowtree {{cite:4befdd8513869d9a9287ce2211ca213f518...
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1fbeba5ff6c3f95aba738b102481eebd
We conduct simulation studies to demonstrate the performance of our methods. First, we compare our proposed inverse probability weighted (IPW) and multiply robust estimators (MR) to the outcome weighted learning estimator (OWL) of {{cite:582dcbd326a87d736563d6feef137f5031136add}} and the IV-based estimator (IVT) of . I...
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bd159c176f081896a112b5f5496b6de8
Knowledge graph (KG) representation learning is important to the KG inference as well as the downstream tasks {{cite:ff2beddb3968e35ea02e0a5bbc7fe7caf076eb96}}. It has been noticed that the embedding space has significant effects on the performance of KG completion tasks. Previous works have proposed the KG embedding m...
i
ae2638a91edaebc9035d09500585c9dd
As a first attempt, our studies provide the baseline for the future investigation on the correlation of helicity polarization induced by the axial chemical potential, which is a possible signal of local parity violation proposed by Ref. {{cite:fec3e6efa278cd490e0ab21293224b89b2538734}}, {{cite:5f4276a9aa1c5ddad473ed882...
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371b176bdb2de2ed93ff8b097686ad57
To further demonstrate the effectiveness of our method, we follow the same setting as that in previous methods {{cite:053082d1aa4936f76f6b5931a0bd3460c148130b}}, {{cite:81396f763af11ed2210cf758904a1de2bcd7163c}}, {{cite:632bc3af727b17087fb5bd06371535cfe3601283}}, {{cite:c61769549817b033f9bf1601a04dc0a813f9cc81}} with d...
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4c5eda426e9833cf256b1e98d8af2006
One natural question which arises when preparing a neural network is that of model capacity {{cite:d343de2f1fd4efb230d23c51e8325e345c3a2b92}}. A network which does not possess enough cells or layers may be unable to take into account all the complexity of the task. On the other hand, a network with a very large number ...
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138efdd82bb66ee5fa5d1679b0f3232b
By Abreu and his coworkers {{cite:0576680117bb1566b07bdff6ae402fbe2f8490e5}}, {{cite:86013608f855cb3f36e0f5c6d9071a424f6d93b0}}, the DPPs associated with the Schrödinger representations of {{formula:370aa221-5822-44bd-a101-0722bd634e18}} are named as the Weyl–Heisenberg ensembles, in which {{formula:a41409bf-e175-46fc...
i
56cdc9dd42229b5c268276f205747196
where {{formula:743e4bfb-0693-4ed9-9ee7-af0240815310}} . The above expression could be modulated by a factor {{formula:ada77aa0-9bbe-46ed-be45-2393e64888f6}} , where {{formula:657ff096-3139-4fb8-b3e4-26519798585f}} . However, {{formula:0bfb45c3-e2e5-4588-b325-2a1ae2ce0671}} appears to be the most natural solution whic...
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d3809b916367c00c1e4b4255af41a391
Interpretability techniques should scale to large networks. Frequently, small networks and simple tasks such as classification on the MNIST dataset {{cite:b72a951535aaabee5e90738b6d3611bf6780f1ed}} are used for testing methods. However, we stress that simple DNNs performing simple tasks can only be deployed in a limite...
d
80123b90d74db69257ee50e3afbcec2b
Recall that {{formula:2002d2d9-4016-4004-9e21-28327de62b76}} . A critical issue is that the perturbation bound in {{cite:801d48d65a85ec588953737884d12b079b442bb9}} requires the tensor perturbation to be exceedingly small, namely, {{formula:147f69ec-0f04-4386-b8b0-2c872fe19fcb}}
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10ba8a3c228dbc6f0586dbe7c35b2b92
However, there are some limitations to this study. One is the validation of whether our approach can extract true dynamical properties if used as an equation-free method, which cannot confirm the true dynamical properties (e.g. frequencies with growth/decay rate), as well as in the previous works {{cite:c22e05f89f19121...
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fdc80427d64adab2154ab010c578bca0
As we are unable to distribute the GPT-3 version of Godel{{formula:d7a62772-c4f0-4b7a-8403-dce04c5ab730}} (Godel{{formula:1f5dbc2c-8b77-4fa4-b680-5164de7a602b}} below), we instead release Godel{{formula:14e00ca6-81c5-4184-b4e0-06d63d1500ce}} based on GPT-J {{cite:20fc3f092ce0dd7e68d7bf6f627495c2bae3b084}}, {{cite:60...
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ce4209faf772662a2cae44eebe122ee6
Dark matter makes up approximately {{formula:34a59c1e-9fad-460a-b529-583464f3b6da}} of the non-relativistic matter in our cosmos {{cite:701b7f000ac37c68fcb4ac4953d774677fe167ef}}, but its detailed nature remains uncertain. For example, the mass of the fundamental particles making up dark matter can range from {{formul...
i
35a3af19ee961d7983080a679e6cfc9d
Post-hoc interpretation methods seek to explain why a model makes a specific prediction for a given input. At a very high level, these methods assign an important score to each token in the input. There are mainly three types of interpretations: gradient-based saliency maps ({{cite:f6aa407b761bc757255cc2f426005b7f62250...
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In this section, we first introduce a Full Self-Attention (FSA) module for discriminative feature extraction in 3D object detection that aims to produce more powerful and robust representations by exploiting global context. Next, inspired by 2D deformable convolutions {{cite:17d34a00495d50095c2797b52c5a4db93f96935f}} w...
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9e97bfdc315d6d19cf2198c97fb4c46a
Our present work demonstrates that MSAs are not merely generalized Convs, but rather generalized spatial smoothings that complement Convs. MSAs help NNs learn strong representations by ensembling feature map points and flattening the loss landscape. Since the main objective of this work is to investigate the nature of ...
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4213d89cddf7d8ec38412b17f59df0b4
Set {{formula:b6059da6-61f8-46e4-a84e-da0137b239fc}} -Covering: {{cite:e0bf4bfdbcd98250396c352d5e78747fb56ecb22}} shows Compact Set {{formula:b252fbdd-e6ba-425a-bb02-866537a5dbfb}} -Covering is W[1]-hard; however, their reduction does not give tight ETH-hardness. On the other hand, {{cite:b9d9a230d52fd153bfcdc861b33d7...
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30d425f1a83f6017d7d28f4e5e73cc80
First, it is important to note is that, for the best of our knowledge, all existent algorithms exhibits negligible finite size effects for {{formula:a5dcbfef-485d-4ac2-a573-dafca031f5a5}} . Indeed, it is claimed that the empirical behavior of algorithms matches with the theoretical behavior for {{formula:ccccf65f-bd6b-...
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2445b0d558fcc5cfaaa3f98a45639f14
In order to preserve the privacy of both the data and the model, there are several privacy techniques utilized in the literature. One of these techniques is differential privacy (DiP) introduced by {{cite:d595211392756c1b6809aa52dd3633b45a65269d}}. In DiP, to protect the privacy of the components involved in the proces...
i
d8a1184db4d6ab57aedb118e0778709f
It is interesting to note that skyrmion crystals have been experimentally observed in various materials {{cite:49320b00bb977a138f76d3bd62eb144c7fa65ea7}}, {{cite:ee7ead88023b989faa23b3b339ab4b579b416620}}, {{cite:50b3cb385bd549a25c5f2b15ac432c25dbd108c6}}, {{cite:ee486745c09976630884ca2d637639adf23b2e2a}}, but the most...
i
1b4430d9d82bb972363e441644b0705c
We tested our network on several challenging real-world high-dimensional input time-series classification datasets: BasicMotion and ERing, which are taken from the UEA Multivariate Time Series database {{cite:d63bec668bba290ac890760a7cfd8708ef4be8bc}} and are freely and publicly available online. The results are shown ...
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b35c4b62d813126a07573a3605713cbf
In this paper, we have studied Einstein-Gauss-Bonnet(EGB) gravity coupled to a bumblebee field. We obtain an exactly black hole solution and cosmological solutions in four dimensional spacetime by a regularization scheme. The bumblebee field doesn't affect the locations of the black hole horizon. This black hole is dif...
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808ca20b9333da36011944cb4d88c5b2
The lower semi-continuity of {{formula:4386fed6-d10c-4674-9288-2de32fe915c3}} follows from the uniform bounded moments, Assumption REF and Lemma REF . The lower semi-continuity of {{formula:96bded70-bc52-46b2-b9ea-d3ce3e893522}} follows from {{cite:9e670280588ad337d8c1fcacf3b67d118d2f3aa6}}, since {{formula:52701446...
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ee74c5df1559227b9e8addf7b1d18788
In order to evaluate the proposed method on a variety of state-of-art classification models, we applied our approach to the CIFAR-10 and CIFAR-100 datasets {{cite:4eda5209139475b9f3243ace37f0c2cd66254d74}}, which are labeled by 10 and 100 classes color images, respectively, with 50k for training and 10k for testing. Al...
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d76a4290c8c60c254681c69db1df9d3e
Safety, framed as the forward-invariance of a safe set, has become a dominant definition in control theory. Several methods have been introduced which provide guarantees of safety including model predictive control (MPC) {{cite:789b4e04d10d38f94554f4186e3e9373019a3007}}, optimal reachability-based methods {{cite:52e486...
i
15e9ab0185363a7e96665be9fde89910
In the qualitative results we compare our proposed method PhysXNet, with LBS method and TailorNet {{cite:4e9a70ccdcbc3a400beb767a4f7b223571f125ef}} when possible. Moreover, we show the performance under changes of human shape and different cloth topologies that have never been seen by the network.
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11d9ee606c69fb006cd39689638352a1
In the cases of (iii) and (iv), we explicitly model both the {{formula:bd53e812-0be7-455f-a2f1-96570314279c}} and {{formula:a8382a62-44ba-4c10-b245-f1f7ad2b84be}} regressions, and also explicitly build in symmetry into the test statistics to reflect the symmetry of the null hypothesis. The first two examples, which r...
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42354e585376d0ac26dabc11b8afbf44
To further illustrate the effectiveness of the MCQ algorithm, we conduct more experiments on 4 maze2d "-v1" datasets and 8 Adroit "-v0" datasets from D4RL benchmarks. We compare MCQ against behavior cloning (BC), BEAR {{cite:18733e6c3c019e8215f9ced41f3845b14f5ed822}}, CQL {{cite:a93755ef3f2ca6620071fad9460212669b226e64...
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If the mask pattern is unknown, reconstruction approaches can be designed by incorporating several properties of the encoding mask. Correlation-based approaches can be used for recovery as the pseudorandom masks have approximately a delta function as their autocorrelation. The autocorrelation of a CA image is equivalen...
d
5c479189849ea0471ff35683fb634960
For the {{formula:00db3ae9-bdaf-45ad-b377-333fe05fbac6}} -continuous, {{formula:93511f8c-99f2-4647-a8c4-8dda6886287c}} remains invariant on applying Eq. (REF ) {{cite:b1ca0d0969bfad7b262634699f10a5661f6cfbe4}}. When {{formula:861cb906-a53e-4e72-9a4a-46a942b5815f}} is sampled discretely, a variety of available numeric...
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ce2e7a693b9ba8c32807de1c58964d78
Guiding an FCNN to the correct image features is a much more complex goal. The explicit ROI extraction is an approach followed by RV segmentation {{cite:cd1c5a9f22c3079c261563a9be209c28bea1024d}} and many medical applications {{cite:ba5d8e95520516ef77b0f6d818f947d81bcd639a}}, {{cite:573fdd6826e1d65d922dbee348fc6a2e455d...
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96513fe920a79d3d0bef1e96016a2cc6
For the {{formula:538d5318-f12f-4c78-9ef1-f97a2333b605}} interaction, no {{formula:2fee96a7-6136-409c-905d-831b86a3980d}} -channel vector meson exchange is allowed. Therefore no dynamically generated {{formula:623ede35-e8d7-49f8-b27a-083d65dbd697}} is found around {{formula:370d1899-6e2d-4007-a9fd-d1a90e677c8f}} thr...
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5136de91edf21cc6b2be4118ed224cb4
Whereas, HNNs directly predict the scalar value of the Hamiltonian {{cite:77e546b6f4f0f2ef8813f3f44fcffbfeb5386412}}, L-HNNs precit {{formula:8204428f-fe45-48e4-b5a9-85d51a5b3915}} latent variables whose sum is defined as the scalar Hamiltonian. Introduction of these latent variables improves expressivity and reduces ...
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c7220f507c097cf3052a5e86f2ffebbb
Third, we compare Prune and Tune Ensembles to state-of-the-art low cost ensemble learning methods with a large training budget of 200 total epochs. Along with accuracy, we report uncertainty estimations on corrupted versions of the CIFAR datasets {{cite:441b4e205e32d080df882d54a331490098e656a0}}, {{cite:bee46ec19444082...
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dcca42a98330b727793c38560502f74a
The proposed framework is depicted in Fig. REF . We first process each view separately. In particular, we employ a 3D-CNN architecture with residual connections and spatio-temporal convolutions across frames {{cite:ec01d6e8907a483de62abe979ca55a122a28a179}} using a ResNet-18 as the model backbone {{cite:5fef4302cecdaee...
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216c2a7746c195cba70a7171a1c02600
Visual recognition has been dominated by convolutional neural networks (CNNs) {{cite:eb4dddcd8efdb171b91eb697fb102b0e04806b20}}, {{cite:3742e5684f875569e480ace6364eb53b876b036e}}, {{cite:c9093cbb4acad549c0a1a9deff35da8e5459a7a6}}, {{cite:1d406b3ef5c9257702191933d36eaa441017ca94}}, {{cite:a9b8870d1ec5b234141709e44b3de39...
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a3981bc8d0ae7bf5b919c2228b44a688
Figure REF shows the cross-sections for all events, and for the same events divided into three classes. The top-left panel shows the total measured {{formula:496c30a2-e76e-4f7d-ac6c-86599b098792}} cross-section, compared to five models. STARlight is based on parameterized HERA {{formula:d16343ed-2051-4f72-a5c0-e90e36...
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