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Critic baseline    Figure REF illustrates that, for identical models, the critic baseline {{cite:40d21ad23dc11790941a05e3ee685ff32bc1bd1a}}, {{cite:0a15004e74b45fd9515552faa939db607d29b349}} is unable to match the performance of the rollout baseline {{cite:cbb2aade89e8d9eed655769f7948340b8019258a}} under both greedy a...
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GNNExplainer {{cite:42afe5eeb9fe5f6bc88904289d148237f94bd2d2}} is the first general, model-agnostic approach for GNN-based models on any graph-based tasks. Given a graph {{formula:2cb1b51d-baf1-4068-8c18-da76fa5e91a1}} with node features {{formula:f51b3192-2297-4516-b695-f6855910c0f8}} and a trained GNN {{formula:3fe...
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In the second set of numerical results we quantify the probabilistic performance of APLF in comparison with QR {{cite:869356b3df9550cb40d14a9c011f9391763f6aa0}} and GP {{cite:a2828500e93b7684ee11aa42e6e80a4488047b0c}} and we study the relationship between training size and prediction error. Pinball loss and ECE assessi...
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2c805d6bcfe3f019a19dae935a58199e
One challenge is that it is not practically possible to learn {{formula:5fb02d0d-4570-47c0-9115-0707e25cefff}} -SNICA by exact maximum-likelihood methods. However, by framing the model within conjugate exponential families we are able to perform learning and inference using Structured VAEs {{cite:2d9199427ec50875f8623c...
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Neural Rating and Tips generation (NRT) {{cite:c1994a05d73d3055468a9b53ed8d320c3a174f7f}} can predict a rating and generate a tip simultaneously based on user and item IDs. The generation component is a GRU {{cite:3ff56cfcb9363aed4c62d7f1a76c89db1079e09b}}. We take the explanations in the datasets as tips. Moreover, w...
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We compare our model against three baselines: L2X {{cite:d841e07ba2734e4da37289a561f2803d3b0ef055}}, LIME {{cite:3a004b4d85813229de9001a1a0d0da9a44a38989}} and VIBI {{cite:0c95eb9fb9b550f851e78a4a374b7be5b464d38a}}. The experiments for the baselines are run on the authors' published codes. All the baselines are trained...
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52304ad9cf8419c3eeccdd57d2145766
Recently, the spin-averaged amplitudes for the two processes (REF ) were calculated in ref. {{cite:f61024cd4ca2e82789be147328e18c56a0fd2d52}}. We have found complete agreement for all terms except for those containing {{formula:05949b09-8c4c-4dab-af6f-b4f95689ca8b}} . We have investigated the origin of this discrepancy...
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b0c8264e8499615081b1d09e9b43141c
Regarding the quantity {{formula:6faa5fae-ff8e-44d4-be7f-4151ea68f4a5}} itself, it can be nicely related to the Fourier coefficients of {{formula:b7ba9add-3b75-4d73-994f-1eefc50a2c58}} (see Theorem REF in the next section). We briefly mention the noise stability for a few functions. For Parity ({{formula:7b6b45a7-63...
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b236a05aa2d67891bbd3eea93a1fe2a2
In addition to one-vs-rest, other methods are applicable for our scenario {{cite:49e16c029b71e97f3868d9b98bcd789f83651f19}}, {{cite:02ee1094e8e62be923c336c9fcdba4c1b5803b63}}, {{cite:ca50c811864f491f9655fb49b6d84c03594314e8}}, {{cite:9b8b7000d6a6d34ae8a619bcd5e66167c53288f7}}. Because one-vs-rest does not consider labe...
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The discovery of these potential laws begins with a formalization of the dynamics of information content utilizing the combination of network dynamics and information theory. The presented network dynamics offers a general description of the information-related interactions between individuals rather than constrained b...
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e404d6e260533446cef8d6ada589f4e6
We further evaluated the baseline Places365-CNNs on the validation set and test set of Places365 shown in Fig.REF . Places365-VGG and Places365-ResNet have similar top performances compared with the other two CNNsThe performance of the ResNet might result from fine-tuning or under-training, as the ResNet is not trained...
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The other approach takes advantage of the practically null average voltage drop across the junction produced by breathers. Given the structure of the second Josephson relation {{cite:0d1e5dddd27e9eb139b1591b1fd06c4440ad0121}}, it is possible to define the (normalized) time-averaged voltage {{formula:fba0b41b-b667-4c9d-...
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5c811fb79e2c86602230956042334273
Suppose we are interested to obtain a batch of {{formula:9135da98-7c48-4bc3-b91e-b3398086136c}} samples drawn from the posterior distribution {{formula:f133902f-4c2e-49db-8d7f-0b6c7bf22b23}} . Suppose further that we have a method which, relying on the evaluation of the potential {{formula:e11126ec-8fa4-44af-8548-82d1...
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Logistic regression on pre-trained Imagenet features: We found this performed noticeably worse than ERM across the board, with a slight improvement in loss on hard positives (but worse than most other methods). ERM trained from scratch: We found this to perform slightly worse across the board than ERM from a pre-trai...
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418e0fe1a4e2486a6f4167fe54303ee1
Another class utilizes additional noise or speaker information to guide the SE adaptation to certain types of noise {{cite:6bc95dcebd69662f7983e89175cbf4cd43c48961}}, {{cite:a671399e80c88267edcd7e3a3a424a18072c5cd5}}, {{cite:78c7d473c72ad6d096572a71b9fef2c1a3078dca}}, {{cite:7ee736e3d9a68b24b5ccc13f5930c97fe1a62d72}} o...
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4f3a2d5208caad64ef2cbcc12c4e21e8
Thanks to their ability to extract abstract information from raw data acquisitions, Machine Learning (ML) algorithms such as Convolutional Neural Networks (CNNs) are fostering a revolution in multiple and diverse fields, ranging from personal mobility to health-care. Nevertheless, the increased accuracy of recent CNN m...
i
27c4dabc0eeb7737f6b0e15a7535bc7d
Domain-specific training of BatchNorm on a mixture of multi-domain data has been proposed frequently in previous works, under the name of “Domain-Specific BN” {{cite:4c7a2aed4397e9b4b2af53145ed758e1ea47a789}}, “Split BN” {{cite:f9d725080738ad54d65172abdd5dd55b9b8bbce9}}, “Mixture BN” {{cite:062980034254816f6f069f089a7d...
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By combining {{cite:743a9cf2865cb3ed20dd93f7a053a200db15635a}} and {{cite:cc9243111e19a8d7f8d35f0c846d0c41bf7e1123}}, the following bound on the Rademacher complexity function is achieved.
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Here, we consider the goal of finding a sparse solution to this representation learning problem, one where each feature depends on a subset of the latent factors {{cite:b0eba22ae98b36cc53e7c04004d4e9080dcb0474}}. Sparsity is an assumption that often reflects underlying patterns in data. In genomics, each gene is associ...
i
defcc4c7905e35b17122c63be2705781
Rather than applying 2D CNN on variant hand-crafted spectrograms, some researchers try to directly apply 1D CNN on the waveforms of speech/music signal to learn acoustic features {{cite:3257527eee3cb417ef2be094c2e7dfea1164b574}}, {{cite:19e2ac4d8da2d56443b8d6d8aaa31d918bfa51f4}}. In these standard 1D CNN architectures,...
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4611673ef26f68eff8647c90b8ea6e41
The first term accumulates a large penalty if it takes long for the agent to reach the end point, while the second and third terms describe the change in free-flight time to the target, i.e. the difference in time it would take, if the flow is neglected, to reach the target from the locations at this and the previous s...
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Figure REF provides a global trend in terms of types of machine learning approaches employed in our identified records. Among the ML approaches, we distinguish supervised, semi-supervised, and unsupervised like approaches. The analysis revealed that most of the works adopted supervised methods (73%). From Tables REF ...
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0be99ae95cff1b729414fa744cbe20a4
Discussion on TUBerlin-Extended: As stated in Section , the results could be heavily affected by the chosen classes for experiments. Since  {{cite:d4808f8b8793c4510f2e664d1ab34fb4a498a049}} did not report specific details on their train and test split, we can not offer a fair comparison on TUBerlin-Extended. Instead, f...
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27bf097c720b9501459b7764bbf14101
The inequality (REF ) still works when {{formula:19c1ff94-b429-4cec-9af4-6c0ac9b38019}} is a nondecreasing convex function and {{formula:49d05bb2-09fe-40c8-a027-2b207dc9132d}} This important remark, due independently to Tomić and Weyl, can be derived directly from Theorem REF . See {{cite:03bc50f228705f0fabbd114da432...
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b10847b01c14452dc5acd4781e7fb7c7
The fast multipole method (FMM) was described as one of the top-10 most important algorithms of the 20th century {{cite:fbcbc0e514e4fce497435177dc677c1be5dd10b8}}. It is a numerical technique that was developed to speed up calculations of long-range forces in the {{formula:ea662248-8262-462e-86a5-4cbe23b0a8c9}} -body p...
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In the complexity theory, it is a well-known fact that the deterministic polynomial time (P) complexity classes are not equal to the non-deterministic polynomial-time (NP) {{cite:a27f7435eeef75e12c90adc471d6bb5b3852b176}}, {{cite:ebd8f31f8f15cda1d71728359b2df207cc5bda69}} complexity classes. The existence of the one-wa...
i
e128355cec5e3679ac1e91d8c20408ee
We use the following objective metrics to evaluate speech enhancement performance: the perceptual evaluation of speech quality (PESQ) {{cite:4684694e5e58ab139217bcf22ba24000666ae7d3}}, short-time objective intelligibility (STOI) {{cite:92baeb9defee084444e725f63f45de51b76190d3}}, segmental signal-to-noise ratio (SSNR), ...
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d77207aba49b6dc6a44f374552f9318b
SmoothGrad and VarGrad.   SmoothGrad {{cite:0e15c1eae6f17c3e8967a2fd4564f6acfc85cb85}} and VarGrad {{cite:49e37cae36029af2e243db802a129cf188cce8ee}} are proposed to relieve the situation where the attribution graph is full of noise. The SmoothGrad is defined as: {{formula:d7b2f424-5ea8-4e99-ae93-798e0fc9814f}}
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cf624b93bbcef845998965a6e0e63766
In addition, {{cite:8b55802a73def4276b37d05269138e41a9afdc5e}} states that the radiative efficiency of accretion flow increases with increasing accretion rate, which gets intensified by viscous interactions. However, since the viscosity parameter of the disc is not related to mass of BH, it could suggest that viscosity...
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41641b050712063b9340d5c4f2f6db6d
The differences created by WaveBlocks and enlarged by attention mechanism are quantified in this part. We adopt the strategy of Post-A with Non-local. The difference is quantified by calculating the Frobenius norm between two gradient-weighted class activation maps {{cite:3d5db8e38fe20bf68be3b2c8856b0b395bbf6c9b}} of t...
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4235cf98ac0cdbb654c526fb1bf0e89c
Continual learning is an active research field within the machine learning community {{cite:36000488fbbb263fb39cfb251975286680d752fe}}. To tackle catastrophic forgetting, CL-based methods can be divided into three categories based on how task information is stored and used throughout the sequential learning process (se...
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a07d158f072fcc4564c0f7b4aaa7c8b9
In Fig. REF , we display the effective potential (REF ) of the {{formula:9fb62116-fb3e-4811-a682-d6fc15f393c0}} Cr condensate in the absence of the temporal modulation of both nonlinearities. One may infer from Fig. REF (a) that the potential energy curves do not show any minimum for both repulsive (dotted and solid cu...
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aba3849c6abb85d45d120bb8febdf14e
Mechanical model for cell shape and growth. There are many details of cell growth and shape that require interpretation. For example, it is not obvious a priori that growth should be almost exclusively longitudinal. Therefore, we have developed a minimal mechanical model that can explain these observations. We parametr...
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abf623cc583a5fc038a9f8f69e82efec
Various independent cosmological observational data like the Type Ia Supernovae (SNe Ia) measurements {{cite:e8bcea102540836cf71e85be9ff41ce70b37a216}}, {{cite:12abb410802b68a1ef839863d784a6245a0ca3b1}}, {{cite:5fb01755004f1cb6da13ab2032b346ab31a10e08}}, {{cite:384227e3fe8012a06d2ec650b9b13ccebeb22c92}}, cosmic microwa...
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DLPNO-CCSD(T){{cite:78ca539a40ee8dc768331eb4a631dc9a9d839a6d}} single-point calculations were also performed with the ORCA 4.2.1 software.{{cite:7ff002f642007b3abc3c4f03b3d9e5598e254bc1}} The Ahlrichs's def2-SVP basis set{{cite:78234e7ac792c47f144d49429f6589e1381b290c}} was used for all the calculations with the corres...
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4b9cc11d41ff6c3f29c7dad8b42d52fc
Tuning of free parameters: There are three set of parameters to tune in Algorithm 1, namely: i) the step-size {{formula:953309d9-bc64-49d0-9a12-db42f27b4569}} ; ii) the proximal coefficients {{formula:1467872e-c1d3-4d3a-87b2-164f96a573c4}} and {{formula:24fdb023-9fad-43bf-bc98-1b8b33ad9c25}} ; and iii) the weights {{f...
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We formulate the disease progression as an Initial Value Problem comprising an ordinary differential equation with an initial condition which specifies the value of the unknown function at baseline. The initial conditions take the form of the embedding vectors which are generated for each pixel of the baseline image us...
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4789eb939a818371c4dc12154ed8bf43
Tasks like open-domain question answering have been popular in recent times in the field of natural language processing. We know that only using unstructured text cannot be fruitful sometimes as this technique uses shallow methods. Using only a knowledge graph is also not practical because of noisy data and missing inf...
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Tensor decomposition methods are able to provide a lowparametric representation of specific {{formula:6d0d5f5a-05e9-474e-9f79-7ca56c578a6d}} dimensional arrays that possess lowrank properties. Available methods include the canonical polyadic model {{cite:7a10c506043ebbf44af03a18fe7155a935d93f20}}, {{cite:befb1ae5c616b0...
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Efforts have been made by the community that researches Explainable Artificial Intelligence - XAI in developing different measures to explain black box models. Many of these efforts are defined in XAI measures that use the well-trained machine learning model, its input data, and its outputs in order to explain the mode...
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afbddef282391d7af594b760708b14bc
As illustrated in Figure REF , inspired by VITS {{cite:26e08a4b981a78bed73ee15dbf7011c5fc72b915}}, we formulate the proposed model as a conditional variational autoencoder (CVAE), which mainly includes three parts: a posterior encoder, a prior encoder and a decoder. The posterior encoder extracts the latent representat...
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To derive the data in the MPA-JHU catalogue, the continua of the spectra were corrected for the foreground extinction following the {{cite:2779af5687cb52d24e1205d928afa838bbe358a5}} dust maps and were then fitted in the wavelength range between 3200 and 9300 Å following the models by {{cite:ad34a5ee974f46615d560304ee10...
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Theorem 6.2 ({{cite:ec773204f2dd59eee4c4df474dd4dc684ac6976c}}) In the conditions of the previous theorem, {{formula:402306f2-18d3-421f-991e-34122032d49c}} converges to holomorphic functions on {{formula:01000b40-38ea-4a7f-9b9a-943ad1168b14}} and the space, spanned by {{formula:4d0fd35b-ddc4-41c1-ac15-f1739844d299}} ...
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9498aa4cec828b41389a1fe85f2871d5
The nonlinear hydrodynamical radial-pulsation instrument called RSP  in the recently released MESA  version {{cite:0525caefe29635b0cc293c98e28201e463d68c30}} allows to study in detail fundamental and first overtone pulsations in RR Lyrae and Cepheid model envelopes. Light curves of both pulsation modes could be reprodu...
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a49ef4dd8220d10b7e8f1726b236328d
Comparing the range of trajectories for each UFD, it is apparent that most have substantially different orbits for the different values of {{formula:6bb968ee-fa99-4d7e-9f00-787d6daaf46b}} . Since these are just the limits from {{cite:54c0724d3b3bd23bc1eb0524db29e2ae77fa1e31}}, any similar orbit between these two extrem...
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9105648f8e0a5ce368629a43779008e0
In fact, our results imply that we can distinguish between slowly rotating Kerr-Newmann black holes and the Ellis wormholes with their Einstein-ring systems. This is because the leading term of the deflection angle for the lensing by the Kerr-Newmann black holes in the weak-field regime is equal to the one for the lens...
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4ff5f7c568909c62f847e5bdc48f7403
The investigation of null geodesic motion can reveal significant features of a curved spacetime. Especially, there are unstable and stable photon orbits around the compact objects. The unstable photon orbits define the boundary between capture and non-capture of across-section of light rays of black hole such as the sh...
i
c71f788eb0c07a4d0eac5fdbc811ad07
where {{formula:b1101042-e485-45ea-9e30-d08e94f61328}} dB represents the path loss at the reference distance {{formula:0af0f50e-75eb-4990-bd16-a97664929885}} m, {{formula:46ab1239-c4ad-4c8b-8b76-92ed6d276b89}} denotes the path loss exponent determined by the environment between the links, and {{formula:480f1b52-1d6...
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53fd59def2d0108c0b2295864fd160b6
Finally, a rather interesting avenue to explore is to find more general examples of non-local CFTs, along the lines of our discussion in section . Possibly the simplest such generalizations are the single-trace analogues of the {{formula:53f4d306-792b-4e15-90a7-bfbfb8bea7df}} and {{formula:a4496605-5c32-47b5-935a-5ae3...
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b09cbc2928387d9985ce9e8fc3301984
The key challenge underlying DA is to reduce the discrepancy between the source and target domain distributions, which has been tackled using a number of approaches. One main approach is instance weighting in which the source sample instances are re-weighted to minimize the distribution mismatch while learning a decisi...
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6358664eff1b85557a202ec0e756408b
CAP12 significantly outperforms previous single-model SoTA on ASVSpoof2019: Linear models on averaged CAP12 would've been the best single-model entry in the ASVSpoof2019 competition, and would've ranked 3rd overall {{cite:8f6c6d9abec33aa816290e4da1c41ff5349ab135}}. {{figure:971d44a6-015d-467f-b794-a0472b82b6c7}}{{figur...
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25a536c1fbe0a1aaefd603374b87042c
Experiments on a number of target distributions have highlighted that the Restore process is particularly effective at simulating from heavy-tailed distributions, a class of distributions that other samplers can struggle with {{cite:ddfcd1adf3c7bd8b843aa9a53d7b88cb5616d2a9}}, {{cite:1861d9dc40d4c95f4a20e79d6689e616b17a...
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of the {{formula:6c3726e9-e9c5-4496-ac6f-c4bb3294d613}} -learning algorithm (REF ) is GAS. We next briefly compare our condition to those proposed in {{cite:8dadd371aa32148e7a24878287c33eb47ea265f6}} and {{cite:80b1cf05a31f7870d1325be46903cd10925bd6ac}}. The condition in {{cite:8dadd371aa32148e7a24878287c33eb47ea265f6...
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9c01d122d0af7b7250153dbb03365875
Let {{formula:eae648c8-6999-4fd1-b77e-5c22e3df7c51}} be the smallest prime with {{formula:422ed4b4-73c8-4a99-b554-d3458d8abcfe}} and similarly, {{formula:e4bf56af-8476-4bc1-b12c-a3a1a3722f36}} be the smallest prime with {{formula:aac44a88-901e-441f-88b8-05a1007ae683}} . Now, {{formula:bb9bb191-4cab-438d-8b65-85aef3e...
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92fbd609a77b1d386810223986c4eb01
Analysis of keypoint representations. We analyze the learned keypoint representation with t-SNE {{cite:cbe043e591a47659342b0980099af3807f8817b2}}. The t-SNE algorithm maps a high dimensional space (64 dimensions in our case) into a two-dimensional while preserving the similarity between points. The t-SNE plot for the k...
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023d6453c93e3e5c517ea602d8b0a365
The continuous {{formula:29070540-9052-4e62-9f7a-ef9f32c3a887}} -means and median problems have been investigated quite a bit in the specific setting when {{formula:fec384c1-2286-4626-bbeb-b2f53e11d650}} and when {{formula:6eab5a92-18a2-4e2a-9ddd-23b8489e8676}} is the {{formula:363cad84-b21c-4cd9-a6e0-26ffb4a886ef}} ...
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1e7f65c2e423df3273de8aa58db3977b
It can be seen that the proposed unsupervised feature learning method can achieve competitive results on the bearing fault detection dataset, combiming the hybrid model introduced in {{cite:7a2e93c82263a39b9c129dd48dfc600fff4d7058}}.
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09e89722059affc519d424a6fb285d1d
In conclusion it should be underlined that our analytical expressions for Tan's contact of spin gapped compounds are expressed in terms of magnetizations which are directly observable. For example, at very low temperatures, {{formula:e72fd763-2243-4dfd-b190-f098a948fe1f}} , one evaluates {{formula:442a7800-f45f-40fd-a1...
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92872108cf2839d8968416b578d27525
Using the above cosmological observations, we adopt the Markov Chain Monte Carlo (MCMC) method to explore the parameter spaces of our three VDE models. We modifies the public package CosmoMC {{cite:9a64bc6ae9a464122d8360449cf970f3b1692cd4}} and Boltzmann code CAMB {{cite:065a2e69e1db731895ad77d05f36c1972ed350a1}} to in...
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It is vital to note that the system proposed in this work can be extended using additional components with few adaptations to the code. Some additional interesting components to explore are lexicons (both generalist, such as Vader {{cite:4f5ba3865d7fcf79fd38b3992f3c787768874e90}} and domain-specific, such as Hurtlex {{...
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33b3f313186e5ca9756e2ea9efc21b9c
Multichannel nonnegative matrix factorization (MNMF) {{cite:25deda6487de09fde609d40b8eb34b7d02bf5b38}}, {{cite:c9704127b1147fd963757d4bba7aa07d0948e9c9}} is an extension of nonnegative matrix factorization (NMF) {{cite:58e5c22fbabb72f2087e723ec0707513966eb41f}} to multichannel cases, which estimates the spatial covaria...
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26d543a8a879fd4e35b05b1f7d8cdaac
Finally, we can easily recover a very recent result {{cite:98968b65f508bae670d2995c631ffc6870e9a7c3}} concerning light rings in extremal, static and spherically symmetric black holes within the framework of General Relativity under the dominant energy condition. Specifically, if the dominant energy condition holds, the...
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94f38734ca0d6d526392afccb59c3d96
Finally, we also tested the fgsm {{cite:a170eaa880f165d3c08c7db76158b5007010d1ad}}, which is the first method for generating adversarial samples. FGSM can be considered a single pass of pgd on the loss function with an equality constraint on the {{formula:66ebabcb-afab-4a87-b4e8-75459d06b6fc}} distance, i.e. the adver...
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e71151e5efcb9a4606cb4cef712dec0e
In case of normal-inverse Wishart prior the posterior density with parameter {{formula:0f0cf353-47ae-4683-aa85-bbba2ff7bd82}} is the following: {{formula:c549d7d4-960a-4047-a752-8ce1ed16fbb9}} After taking logarithm and differentiating we get : {{formula:529a6e58-3979-4952-bb25-b874ee1a14b8}} By applying Theorem 4...
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84f9bba1fb3d079643304267021c1536
A single-photon emitter is a crucial component in building quantum information technologies, such as linear-optic quantum information processing {{cite:a9d3be479787d7c80d834b3748af32bb8bb553e4}}, quantum simulation {{cite:f62189d31187308ef2dc1c944db2c5a35f534980}} and quantum communication {{cite:bee5423d595d8f7cf69933...
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5dbc6e8831c53d83bfd50a681b211a08
Table REF (part 1) shows the ASR results on WSJ. Rep-Phonestream augmentation improved the baseline WER by a margin of 2%, while none of the other augmentations helped. This corroborates our intuition that data augmentation works better when synthetic inputs are similar to the real training data. Furthermore, we conti...
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318ed5db8be2e835c2dacf8483ec4146
Therefore, we obtain the heat current from electron part as {{cite:3d9673ba08b96b9300428d26ce95bcb70ee66f09}}, {{cite:71a3eba588734738359f1f171eb2e9ffe976d6fd}}, {{cite:f5d75fe9b87e5b184733af904bd9e8374475465d}} {{formula:b9770ac3-8f63-48b5-a6a3-d95d0dd7ca8a}}
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248ff014196fe285c03aeb43d7a2d8c3
Another major implication from the asymptotic posterior normality is the ability to facilitate the derivation of the reference prior suggested by {{cite:4c61b8d765e56282b5880e67afec7f776c962d2e}}. This class of rule-based priors attempts to maximize the information from the sample so that in a formal sense the prior ha...
d
2c5cf4d3b2051600a5bef20d940af173
If one seeks to reduce the complexity of a model or the size of a data set, it is a common approach to project it to a lower-dimensional linear subspace of the state space, which is believed to contain the most important interactions of the model or the data set. The hope is that the parts which are lost during this tr...
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31610710408b90615a4f06d339ca62b1
The virtue of the real-space approach lies in its elementaryFollowing the definition by Richard Feynman, elementary does not mean easy to understand. Elementary means that very little knowledge is required ahead of the time to understand something except to have an infinite amount of intelligence. nature. In developing...
d
98963bf2e6abacf19215827ce6468657
We test our comprehensive search method on widely-used face verification benchmarks including LFW, SLLFW, CALFW, CPLFW, IJB-B, and IJB-C. The results are shown in Table REF . The bold numbers in each column represent the best results. In Table REF , the last line represents the baseline results without any search-based...
r
1ce570f4275f7f54ced786df444b4235
The QSCMF theory is a kind of mean-field approximation based on the nonequilibrium Green's function, which is similar as the mean field approach in the literatures {{cite:5769172bf0b523cc389b146cfb3eaa1118f9d6c8}}, {{cite:6c34776634251891bf2fbbd85dfbcaa7328d7a00}}. The QSCMF is a good candidate to solve the nonlinear p...
d
3db614b5b9c2ad79f51a01c9eb048f0d
Analogous results arise from considering a fully classical damped harmonic oscillator with complex position {{formula:1aa0558c-704e-4871-ab1c-bb54fb3655ef}} , driven by the force {{formula:71996a22-3bd1-464e-9947-a8dae43fa334}} , with a slowly-varying amplitude {{formula:50d14adb-bc2f-4944-a413-a2d8e90ad636}} , where {...
r
48ce6ed5f31cebdb96fb9978e399f7a7
where {{formula:2fccddc9-fc91-4710-a7fa-4d0025b74c74}} are respectively the susceptibles and infected, {{formula:c26954d5-f852-48d0-927c-8eb720006702}} are respectively the infection and recovery ratios, {{formula:c3db2626-a6db-4f18-beb6-9aa7be61b092}} is the graph Laplacian matrix {{cite:6851abfd06c3198d27b7f86cb8c...
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f8235c8a5ae0acecd4d62d10638c7d96
Several studies have demonstrated the inaccuracy of linear approximation spaces to deal with parameter-dependent hyperbolic partial differential equations (PDEs) with parameter-dependent shocks: this challenge hinders the application of parameterized model order reduction (pMOR) techniques to this class of problems. To...
i
f061d93f62b7e2504cee46918038558c
The X-ray Quantum Calorimeter (XQC) is an instrument flown on a sounding rocket that provided high-resolution X-ray data for the diffuse X-ray background, including the CGM {{cite:fb9a020ee51a7fa50cbed656e9527c02862076ef}}. It has been flown multiple times, including observations during 1999 and 2008 targeting l = {{fo...
d
0f177783a4ff01b48719635948dafec9
We propose a multi-objective optimization based solution to mitigate both directThough not done explicitly, reducing direct bias also reduces indirect bias as stated by {{cite:775d42ab0c289f95e683b50828d539eca5ca8817}}. and gender-based proximity bias while adding minimal impact to the semantic and analogical propertie...
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15c272e121381522e5fbd6ce0a627925
The data size requirements of the GLM point process model are reasonable for our purposes, as indicated by our ability to recover stable repeatable influence kernels with 15, 60, or 180 minutes of data. (See also the SI for a simulation test on data size requirements). The approach requires the same amount of data as d...
m
54091903e52958e9c40f6e4b22198b65
Networks. Erdös-Rényi networks were constructed by taking a large number {{formula:ba6ea611-a124-4c93-96af-3d0a6d78dcb3}} of nodes and randomly connecting any two nodes with some probability {{formula:2e5dce9c-8418-4ae5-b601-235f347eeee5}} . This construction algorithm yields a Poisson degree distribution with the mea...
m
ff26fdd0b937b4b8afc6f4714042d1c7
Another source that deserves spectroscopic follow-up is N5486-2-1. Although this was located within {{formula:9708ebff-043c-4305-b1d7-7d11fa124003}} of NGC 5486 and does not satisfy the classical definition of an outlying H2 region, assuming it is physically near NGC 5486, it displays many properties similar to local ...
d
d7e0c44258238ad8b604bdc293ea03e6
CLEAR is based on the view that a satisfactory explanation of a single prediction needs to both explain the value of that prediction and answer 'what-if-things-had-been-different' questions. In doing this it needs to state the relative importance of the input features and show how they interact. A satisfactory explanat...
m
facefc298ff510b0811cf345b5aac322
Extending recent work on stress fluctuations {{cite:c8c2ebcafe1e63df55f61705324a115f91c9a06a}}, {{cite:d656087ae93d5b0e55b37af690e1a9f007479657}}, {{cite:a30350ff511c2c672a1a47064ae1d55d78236d17}}, {{cite:c4412ed71d0e042f68d04b006eedc31e5de591fc}}, {{cite:feea8315b6e21038d7ceaf5e0baac4a5d822d982}}, {{cite:2635f0ec9c085...
i
93a751f8628ba9938a99f13569a99fa2
We adopt average accuracy (Acc), sensitivity (Sen), specificity (Sp) and F1-score (F1) for quantitative evaluation. Besides, following {{cite:8d0c79821e41572efdde48fd0762b94237079dd1}}, we evaluate A/V classification on the ground truth vessel pixels rather than the segmented vessels, which is more strict since some ca...
r
62119cd293c2cda186e4dc05f854eb27
The space {{formula:5c67d003-b8b8-464d-bd02-1f6a23f2d035}} is endowed with the norm {{formula:370aac48-0b07-488b-9629-4ac3631ebd77}} and it holds {{formula:b4f30b82-d42c-4a5e-920d-6d3ce912dd18}} . Our main reference for functions of bounded variation is {{cite:290108fa2e1ef1f9bd7157d1b4cac5e8cd8028ab}}.
i
e37bad8e61470d16b0a27f6d39898ee7
This work can be extended in a number of ways. One potential direction is to use different ways of creating model ensembles, for example, by using Dropout {{cite:b792321251ece700c27393e8902aa4faf028cb28}} or pseudo-ensembles {{cite:74de560682814fc58c922d4c017d54a326e387bc}}. It is interesting to investigate how the pro...
d
b7604c1a91bc1f697a5614689faa7a19
The convexification method. The main idea of the convexification method to solve (REF ) is to minimize the Carleman weighted functional {{formula:0d5fd6b2-5369-4fd7-b07d-e21d316e9b88}} subject to the given boundary conditions for some Carleman weight function {{formula:dafdc342-ab32-47e5-8b70-da8920dbcda3}} . With su...
m
93e903c37e13b9a27dec49c2dab1a7fe
GSD vs. Single Pass Models The current state-of-the-art single pass models for inference on OOD data, without training on OOD data, are SNGP {{cite:2776ffcf767ba29c1aef427aeb45efac2f570546}} and DUQ {{cite:7795c883a1f36a9e80e66970ed408bf4c08839f3}}. The primary disadvantages of these models is: 1) Hyperparameter Combin...
d
e1e0a1e8130edfb032de4157980db18d
The numerical algorithm considered in this paper is based on the ideas proposed in the works {{cite:e1414e92c2165858ee53f230aa9aafe136a33094}}, {{cite:e22502d26cc953fca716d361472d8cbd59e7ec6e}}, {{cite:778db4c5c2ced87a4fec3486088fca10cee463aa}}, {{cite:9f2ace524b549cd63612229494fe43e106d4f1cb}} and modified for applica...
d
e0a4dcca6794c6c5b6dcc55f1a128497
We will label solutions as usual by the integerThis restricts the generality of the method but getting non-integer {{formula:741b4ada-8c53-4258-ac4a-f97e87685a93}} solutions to work is highly non-trivial due to the complexity of the EM which only contain explicit integer powers of {{formula:b7720053-a053-42d8-bd98-163...
r
7e48acbc63cc771e9257c7ec16ab7009
Denote {{formula:d1141c3c-1305-4afe-9620-d2aed503f747}} and fix a bounded infinitely differentiable function {{formula:fb4c2cca-0483-4d40-bc00-e9d6766a057a}} defined in {{formula:11cef833-c921-4b6c-a8e8-a4842ed4b8e1}} such that (see e.g. Lemma 4.13 in {{cite:b79b69f6c83fadece5daaf28ad6bb0a97452c17e}} or formula (2.6...
r
19116e5456b389746eb0dd0682ef36d1
Table REF represents the challenge benchmark {{cite:1e740c1470c23b1965731160a3c559cc47e796c9}}. The best 3 approaches achieve above 30dB PSNR, which denotes a great reconstruction of the original RAW readings captured by the camera sensor. Attending to “Test2", the proposed methods can generalize and produce realistic...
r
8da553157a095d78348d956b993962c0
In Fig. REF , we present the results for the condensate of {{formula:49883dde-53e8-49f3-8155-d2b3d6f845bc}} Cr atoms which have a moderate dipole moment corresponding to {{formula:dacae44d-2283-4477-b5df-7650d0fce3cc}}  {{cite:ffa295650969d53329e2d37c01d47bc5838ad5be}}, {{cite:9aaded3dc61c5eb4f82e1badc709eea043d1ffdf}}...
r
d1baeee8ad390fb0b4d1887a5a944910
For the first automatic speaker verification spoofing and counter-measures challenge (ASVspoof 2015 {{cite:ffa9e2291d17390d8e8fcbfae32b7bd1de72a5fb}}) even though the best results showed an overall average detection EER of less than 1.5%, the EER of unknown attacks is five times higher than that of known attacks. In ad...
i
a0418111805f57321fc30783c5a29ce6
Limitations of state-of-the-art KGE Models: KGs are openly available, and in addition they are largely explainable because of the explicit semantics and structure (e.g., direct and labeled relationships between neighboring entities). In contrast, KG embeddings are often referred to as sub-symbolic representation since ...
i
2d5fa3ef0a32af72c10e9b43e71abb20
We first give the necessary notation used in this paper. Let us assume we have {{formula:ee848c24-521c-4db6-84bf-de00f1f9e4dd}} i.i.d subjects, where we observe functions {({{formula:c306488b-95ab-4306-96f9-b2cdf7376712}} , {{formula:0a5101d5-8572-4bb4-a7ce-fccb7a588213}} , over a compact time interval {{formula:0cb11...
m
f32c01ba18e0aeba43fb65fe338f635f
The algorithm below-{{formula:8adb1ecc-999e-457d-aa97-e951ea0ac9e8}} is just modification of the algorithm {{cite:ed84a86370a5bb7b9f10edccbc7d862559cb05a6}} or {{cite:a0fdb2871185f0d52add30be60c4eb06bfa5ec8d}} in the input phase. We show observing just {{formula:d93c61f8-26e5-4ea5-b9c3-adf99c057c58}} many entries in ...
r
0f322729961c6bd3fa259864360103aa
To this end, we introduce RONELDv2, which incorporates the use of lane point variance, lane merging, and an exponentially weighted moving average method to compute weights in order to strive for a more robust and lightweight solution which further improves on the RONELD method and increases its suitability for real-tim...
i
95cd3d04618a050ef943e0bc48ee40f8
The procedure for computing a diffeomorphic deformation can be modeled by an ordinary differential equation (ODE) parameterized with a stationary velocity field {{formula:bd41b74d-9195-4ebd-af66-5e18f905d215}} {{cite:121da4de531d3c135ce5148facc5246da5f0e82c}}: {{formula:0684be4c-640e-419e-a51f-52576e22c41a}}
m
ffed158f4cbf4bf09fef0a71382a69ba
First we introduce notation. Let {{formula:a8b904de-168b-4d4a-a91f-4c5991619175}} be a non-negative matrix containing the imaging data, with {{formula:7a58f39b-1b25-4c9d-8013-ca6770a6575c}} frames of {{formula:b51c0d22-a048-4d57-80cd-d345cf713abb}} pixels or voxels each. The goal of non-negative matrix factorization...
m
a520d557632a7257777e3ea9503c8fda
Our primary focus is on fully Bayesian estimation of GGMs, which remain relatively uncommon in practice compared to classical methods. While several classical regression strategies have been employed, only recently was a Bayesian lasso regression characterized {{cite:c1bee73d8128f2869a82ce4e25f365d48d8c284b}}. Perhaps ...
i
a2fea96013c81482f85e78a07cdc4432