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Moreover, the transferability of current vision foundation models is somewhat narrow considering the wide spectrum of video applications. These models {{cite:855736a1aa2f2fcd22f7179934eb7a7fb1474cd5}}, {{cite:eebf99fd236761a84e264a5d7c5031f48776f481}}, {{cite:2345e1e2913e183389c2454453fed712e809b49b}}, {{cite:c201e2bb1...
i
b21affcab8dc3d4d97b3cf4342b59a0a
This research note presents the algorithms needed to efficiently compute gradients of GP models applied to large datasets using the celerite method. These developments increase the performance of inference methods based on celerite and improve the convergence properties of non-linear optimization routines. Furthermore,...
d
9acb39df46c93ff907243a8ffee9b7af
Inspired by the close link between reasoning and the cause-and-effect relationship, causality is recently incorporated to compactly represent the aforementioned structured knowledge in RL training {{cite:2465699211371a4ff9dac1b0ea0a0fa52cf19e72}}. Based on the form of causal knowledge, we divide the related works into ...
i
2d2906bd49b9fb8288c664f0f46972e2
The positive mass theorem also involves a rigidity statement when the mass is zero, but we will not concern ourselves with rigidity questions in this paper. This theorem was generalized to the (now commonplace) general asymptotically flat setting in {{cite:91778dd291ddccab2c33b204ceb28f0331965d20}} via the density theo...
i
0d80b28c7a651fea268dcdfe94822b62
Equation (REF ) is closely related to models that describe the alignment of either biological individuals (fish, birds, etc.) or physical rods {{cite:13e011e127f4a0fa0362664abf216057a5187fdf}}, {{cite:861db35b46c242deeb618ae63f86e6fecc3eea03}}, {{cite:0b9cc61a6c5fbdc4acb2aceb6648b10c45b5aef9}}. More broadly, it is rela...
i
b6ef6b8e5d55cbdddef132de2305e423
More precisely, as for the analytical investigation, we apply interpolating techniques (see e.g., {{cite:ec7e77f1f2d8db32adace109856eb05261f0beba}}, {{cite:39abc10eb6b2be58ffe4cb3e242772657b49b451}}) and extend their range of applicability to include the challenging case of non-Gaussian local fields as it happens for d...
i
57b8eda933f2e33d2d16d9ca82b298a9
Using this benchmark, we performed an analysis of the sample efficiency of existing machine learning models and their ability to harness compositionality. Our results suggest that even the best pretrained neural architectures require 50 times more training samples than humans to reach the same level of accuracy, which ...
d
9efde6c1a70ca6a67944b72b94a119cd
Natural Language Processing (NLP) is a sub-discipline of computer science providing a bridge between natural languages and computers. It helps empower machines to understand, process, and analyze human language {{cite:37a66d4ba2f3dd1fc661a7e73b7f54587c4deb2d}}. NLP's significance as a tool aiding comprehension of human...
i
4daf15c970bbefa7252c54b0d9a3cfb6
Other researchers carried out post-processing on reconstructed images with deep learning models, so as to remove the artifacts and noises for upgrading the quality of these images{{cite:8ad8f2f0092beec62320456e1818c8040c8e60e4}}, {{cite:596f59b7a510a02e1c00f8f0e9ca031f123db19f}}, {{cite:09d168f706222b12af294777d6569ec0...
i
a438efe78adfd6a251a40c0d431a94e0
The results are reported in Figure REF and Table REF for the regression and classification tasks, and in Figure REF and Table REF for the preference elicitation task. For all models, considering the average of weights always leads to better performance than considering only the weights of the last epoch. Such an ap...
d
9354110b8a9020ae172db656abcfb8c2
Figures REF (a) and (b) compare the predicted pose trajectory (for varying depth network size) from the proposed monocular localization against an equivalent framework where joint training of depth network and filtering model is not performed. The comparison uses the RGBD scenes dataset {{cite:403e9f61f12ff7fa3a6def5c9...
r
415911acbeb4195f142c7779336560b7
We motivated the omission of data-augmentation based on results that indicate the benefits may be dataset specific {{cite:5062acb21f5e014b750afc965c41c3fff6b9fe4f}}. More recently, the same authors conducted a more thorough analysis, providing stronger indications that a sensibly designed data-augmentation procedure wo...
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1f9938fa5e618fd799668df66fd483e0
We expect that VTT will enable important downstream applications such as visuo-tactile curiosity. Curiosity {{cite:14ae559d92419f98818befc8bf7cc388110c646e}} makes exploration more effective by maximizing a proxy reward. This reward is often formulated as a series of actions that increase representation entropy. Simila...
d
8da932c373f75a6cf9465bdb8437f836
The main difference between NCSR {{cite:680bb33ad4ea72be38680400456fa01b5930a03e}} and the proposed GSR-NLS is that NCSR is essentially a patch-based sparse coding method, which usually ignored the relationship among similar patches {{cite:c76f643ef8687b370c9568384bdfda14470df4e5}}, {{cite:ac05cbdad4acbdfc61d7a2ac2fe7e...
m
7abc6a4f94105794e7151f6669090829
One problem we have to solve before we can calculate distances is the delineation of the research field. It is not feasible and not necessary that the electric current between two papers flows through the total citation network of all papers published in the year considered. Field delineation should be done by an appro...
m
799079ea434b1f3a38b4c446fa98822f
We begin by enforcing the conditions of unitarity, perturbativity and stability of the potential, by requiring that Eqs. (REF ) are respected. These theoretical conditions are applied as hard cuts to ensure that every sampled point is theoretically meaningful. Considering that the oblique parameters, dominantly {{formu...
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ab58ca35e5201630f77d389895354f99
Remarkably, Table REF shows that the proposed framework outperforms all the other state-of-the-art supervised debiasing methods. Notably, only about 16 samples remain within (Gender=1, HeavyMakeup=1) group after subsampling. Thus it is almost impossible to prevent deep networks from memorizing those samples even with ...
r
9693d5d26b31273e0a6e60ed9b1da13f
Motivated by the latest measurement on the muon anomalous magnetic moments {{formula:1380ad21-380f-466f-bd13-30c65b271f53}} by the Muon Collaboration at Fermilab {{cite:9d305010dccef881fd52beec5145d0de89da6111}} and those of electrons {{formula:046c38b2-6148-4f7d-8268-8ed22ea4c9b0}} at LBK {{cite:345d87e3a5c4ab8e8198...
d
e1af67282a7b34ba2aa35909d57db049
The gluon dissociation describes the process of a color-singlet state converting to a color-octet state by absorbing a gluon {{cite:1b8d870aa4c6e73d7a041e09af7ac5f3986dcb3d}}. The cross section in vacuum neglecting the color-octet interaction in the final state was calculated firstly by Bhanot and Peskin via the operat...
i
6ee6bda5bd8a78e1f90602c5bac130b0
We know an object A can be decomposed into wavelet Haar bases of {{formula:2b5c08fa-d533-4b1f-bc0d-17433378043e}} and corresponding expansion coefficients of {{formula:275017a6-cb8d-49dd-a45d-78cef1663016}} {{cite:cb0ed9aa3185a934dde7d8b8cb34121c46753dbb}}. In fact, as eq. REF shows, at the first level of decomposit...
m
e8c7829ef8ddf6272011475343f9f3e9
In recent years, many efforts have been made to utilize PDs as features for downstream machine learning tasks, such as material science {{cite:6a91b59e6685b7a2be9a327ab3e5e448993249c2}}, signal analysis {{cite:bd0b59e8d1e3e34104b17c78a5b5b7bd4f11e86f}} , cellular data {{cite:448e8361c11be94bf9be221f9efbc11259c0a048}} a...
i
7c659a32eb17b36c570dd6cd50efdbf6
SCE on FC Layer-1 (FC1) or Layer-2 (FC2). One may argue that SCE is not necessary to be applied on an additional classifier FC2. We conduct the experiments of using SCE on FC1 (i.e., w/o FC2) and show the results in upper block of Table REF . “{{formula:e36593d4-b8d6-444f-a4de-9e35e30c1186}} only” is the baseline of u...
r
ae14dfb60f290f88650075e34a82c7f8
The decoder of {{formula:756adb42-2d7d-473e-b5aa-06fc307b3171}} consists of five upsampling blocks in order to obtain an output resolution that is identical to the original image size. Each block contains two convolutional layers with a kernel size equal to 3 and zero padding equal to one. In addition, we use batch no...
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4f1cc450c2594a209cfa04d435d6fdd1
In scientific fields ranging from systems biology and systems engineering to social sciences, physical systems and finance, differential equations are omnipresent and constitute an essential tool to simulate, analyze, predict, and to ultimately make informed decisions. Due to the wide range of applications, the search ...
i
c1d802375470ce7bab7084c0363ceb8f
Commercially available semiconducting wafers were purchased from different vendors. {{formula:b8f82397-bd99-4dcd-a683-f391b89fd905}} -Si and {{formula:3b67d4ff-75ca-4de8-93c4-355bb903e98b}} -GaAs samples were doped with P (2-6{{formula:d294719f-0e4e-49f3-aff5-71e09fbaedb4}}{{formula:11882689-ae28-4b8b-8e3a-4496f52c4184...
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da139066459d5242a5b37f4bc43cdb9b
We also evaluate the proposed approach against GAN-based approaches: GAIN {{cite:bacfa04920b1086abd3d603ae74176dd821f9aa6}}, MIDA {{cite:11ddfc62e860c0f217c95772ec5746a68537696b}} (for both random and structured missing values), MIWAE (for random missing values) {{cite:678bc074be9ebbad0f1cd7b4f35ec9ebbeca9724}} and not...
m
44028ff6eb90af68e4fee457a4fbfda6
Our implementation of Anchor+BM25 labels uses better neural rankers and also combines it with base retrieval, compared to its vanilla form in previous research {{cite:75fc075fe9cf1e0e8ce196e459b97396194f8900}}. Still, it does not yet outperform No Weak Supervision. BM25 scores can be used as pseudo relevance feedback (...
r
c8e87ec0935045c79a6eede213ddc20e
Node Clustering. We conduct node clustering experiments on the DBLP and IMDb datasets, using the same setting as {{cite:68923bc71940fc8209423b52f3d5961c113207c8}}, {{cite:02e9806dbdf839d0a42404ad898e5bbc814c9ee9}}. We feed the embeddings of labeled nodes to a K-Means algorithm. The number of cluster K is set to 3 for I...
r
25bb7aa66436c611ee11c1ec13646358
As federated learning is essential for institutions dealing with privacy such as medical, driving, voice, and facial data, it is difficult for each institution to share data. Though training data and models are publicly available with open-source machine learning libraries in Tensorflow or Keras, it is not easy to shar...
i
3f44de2b453fc29fee693c3005ec63a6
In any of these smaller spaces – typically in the basis of left- and right-orthogonal environments as produced naturally during left-to-right and right-to-left sweeps – it is very easy to solve the time-dependent Schrödinger equation exactly from time {{formula:9eff05a6-e46b-44dd-a764-dadbc3d63d4b}} to time {{formula:...
m
83a478404cedf4523f92f332fa4c0830
In Supplementary material, we provide more GAN models {{cite:bfe6b03e0679832e1caf0451bbd9085b441200d1}}, {{cite:a44dd89d4af9088c7e9cc314c0a8ce3d1bc7b230}} with no high frequency decay discrepancies. We also investigate whether such high frequency decay discrepancies are found in other types of computational image synth...
d
e64ae1a4b1d81c92514420996a1f30b2
The regularized regret objective, AdaptationObjective, can be interpreted in several different ways. The regularization can be motivated as preventing overfitting to a limited number of samples of a noisy reward function. We could also interpret this term as reflecting the cost of adapting from to the new task, but und...
r
0834b0dbbe963ea298697bf102bc4608
Feature comparison. For each category, we randomly sample an equal number of pixels on ResNet-50-based features for each domain (200 pixels/ domain&category) and present the T-SNE comparison with the GA baseline {{cite:add7490497586f729bde73053191a8370c39ed1e}} in Figure REF . It can be observed that those similar cate...
r
176aae977c2077e29d01472b742cae35
A thorough comparison of the methods have shown that AETv2 {{cite:6e7057a2a228b68005125c15dbf54d7c0c44d12e}} performs best in terms of learning relevant features from images, and being able to contribute to lower error rates in object recognition on ImageNet {{cite:0a91e8181e59be965558526a7e40578eba1f7add}} and CIFAR-1...
d
192cf6a371c7b3fe020e8dfbb0055056
To further investigate the nonequilibrium quantum phenomena in the system, the phase diagram for identifying different numbers of steady-state solutions is mapped in the {{formula:82adda07-f0d9-4bf9-ac4d-54ecaa28e8d2}} -{{formula:f9f0cc6b-feb6-4849-8ac5-86f34fa36bf2}} parameter plane with fixing {{formula:3efbf718-289...
r
56da6a55d7166a865f49deb43b50bb3e
The photometric distance modulus/distance of Be 55 as {{formula:0b97d6f3-5271-432e-8a63-4897de70438b}}  mag ({{formula:d7a3d05c-9dcb-4231-91b2-3288d8387e50}}  kpc) is better and well consistent with the median Gaia EDR3 distance (3.15{{formula:2d2d4c25-0631-4945-8fd5-c531cfc76202}} 0.59 kpc). These distances locate Be ...
d
ad695212a64373ffb570d7df01f2842a
Given the gradient and the Hessian of {{formula:f5ee71ce-50d3-484c-b155-95f9cd69f1de}} in (REF ) and (REF ), one may employ an iterative optimization scheme such as Newton method or (L-)BFGS method {{cite:c4d585091ec801fcb8368700ec9fba2d53c389df}} to find {{formula:23948c47-d405-43a5-a057-d24404abf95a}} , the solution...
m
eeeb93abf730d07ffb918c83db03ec40
The significance of dendrites in neural computation is well documented {{cite:04481347f49e3917e39f0e55e6516144bc84dcf6}}, {{cite:49cd6207e337f1b781be901cb7640fdeee89c064}}, {{cite:af46b712a9adb61a79ff4e1679c6135b9a2d4d33}}, {{cite:c249c23a991bc8aa0e3f11a29da3b616f5836be4}}, {{cite:721d4f4f635a290860d86be0d71ac882c0c3c3...
d
559f7fa393894329b6b6c7921bfa4e17
In this paper, we propose two quantum-inspired algorithms for solving linear systems. One is based on the randomized Kaczmarz method {{cite:029646648f7442768f2b84a440794ec1726cfd71}}, and the other one is based on the randomized coordinate descent method {{cite:29e6ad4aa7871b518f5c4fd531a419f7965a3fbc}}. The second alg...
r
bef558af734cb85e23d690f18dae54db
blackWe also compare to GIRAFFE {{cite:5c556e3162072fb25b82c178b670d22b4a618cad}} in Fig. REF . Our method maintains the consistency of both pose and shape components better. Quantitatively, GIRAFFE achieves similar scores compared to our method on FFHQ using the metrics defined in the main paper. It achieves an appear...
r
33b6193f6ef3bd34abbab3f0c3ec7fad
In the analysis of a spectroscopic time series of a pulsating star, there are generally two methods that can be used: (i) the moment method {{cite:5c3448bdb6c49590687f9dcd40efdfa7b0c32646}}, {{cite:e29d39e51e3d568557d2901c50d13d89fe7d0d71}}, {{cite:7e150093da1c57867bc8b4c16a22dcef034400a1}}, {{cite:738853a42eb0373d3f8e...
m
04c0ca9e2dbee736c78c475633cd0682
Our algorithm can also be used to prepare stationary states of slowly-evolving Markov chains, i.e. given a sequence of Markov chains {{formula:7901c36f-7253-4473-bc85-7e9fa0b4e02b}} , such that there is a significant overlap between the stationary distributions of any two consecutive Markov chains, meaning {{formula:44...
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e9388337b782951d4a123c2e26f84c56
Fig. REF presents the 4-QAM {{formula:5b788de2-856f-45b4-9494-77d8050241b1}} MIMO-OTFS BER performance for low ({{formula:9b53b03b-3f4f-4f2e-97d3-e662cac4b5ac}} ) and high ({{formula:fb680cfe-3675-42ec-831d-e9a0b7db5c42}} ) correlation at the Rx. We consider practical channel estimation, where the channel coefficient...
r
4879e25c40783b667d39686861730a18
We retrieve many associations that make sense for humans in {{formula:56cd6c8b-fbb9-4a66-9661-b8e3f5b50206}} : blues and jazz; rock and pop; motivation, dancing, running, and party are close to one another – which aligns with previous work {{cite:914dc16b9ab7c669e466509f128f569a05ec2934}}. More interestingly, we observ...
d
d30637e731f768f33de7d6386348260a
Lemma 14 (Chernoff bound for Bernoulli variable {{cite:9136671d0b712488abe2bb8f512bf917d188cf24}}) Let {{formula:324e239f-d80a-47dc-8357-06abc9536b36}} be independent random variables taking values in {{formula:14e33774-6f7f-4fdc-804b-6c56ab7c1b28}} . Let {{formula:cdcd941b-7834-41f1-bd6e-32d481de1ff4}} and {{formul...
r
0654c37c530e68515d5c3b3704c3204a
We first conduct experiments with the synthetic dataset provided by Kar  {{cite:f747d9b3e873f26cfde83940cf92d1657502f1aa}}, which contains 43,784 objects in 13 classes from ShapeNet {{cite:db620c35ad22e39ceacfbec2d8fe37907e12a277}}. Each sample includes a 3D CAD model, 20 camera viewpoints for rendering, and the corre...
r
4d8097bbae37c4ed4750fff9f1d9e954
The results shown here extend the utility of local-dimension-invariant stabilizer codes, and so naturally there are questions as to what other uses this technique will have. Is it possible to apply this technique to show some foundational aspect of quantum measurements? Can this technique in some way be used for other ...
d
702dd735bd2fe22ce4103e2dcb2957f4
The BH mass estimates have a cubic dependence on the inclination (Equation 4). Therefore BH mass estimates may not be reliable, given the presence of systematic errors in the measurement of inclination. The two main sources of systematics on light curves are superhump modulation and contamination from rapid aperiodic v...
m
d599231f10516b23e01577764c49b416
The structure of the Datalog program can be analysed to provide clues about the predicates to focus on. Following {{cite:9dbe911605a33d1df322badc7acb16abb8eb5ed5}}, we introduce the notion of precedence graph {{formula:dc74d158-1257-4370-b16e-2095c201e45d}} of a Datalog program {{formula:e4a619f7-b5d9-4356-b0e5-d86b52...
m
d1707df07f5cf0fda8e5e96e544116e8
Results. Tab.REF illustrates the results on large-scale datasets. Ours is consistently effective and outperforms existing mainstream methods, achieving distinguish improvement compared with previous SOTA c-RT {{cite:b39c725961ad42237828a3f4a1f5d8d443c2749e}} in the compared backbones. Especially, our method outperform...
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5ce5ac632d4e996c736721340b888dae
These four steps are performed either a preset number of times or until reaching given optimization objectives. The main obstacle to implementing this scheme is that GCNNs do not naturally return the uncertainties that evaluation of the acquisition function requires. We overcome it using either MC-Dropout {{cite:a1abd3...
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e587f577e51425b89d79709e7561c42c
BSDS500 dataset{{cite:ccf67bf7d2f85fc6c96786a173fc83c89093223b}} is the standard benchmark for superpixel segmentation which contains 200 training images, 100 validation images and 200 test images. The size of image in this dataset is {{formula:19e0f701-1330-4b3d-94e4-d60fb6983537}} . Each image has more than 5 segment...
r
ee725304e166a3ad9b69daf652c14321
Using the idea of the immersed interface method {{cite:aa9670bc558acd5e9a65c46e357fb6e07fc4f26d}}, {{cite:8154059125b6e3dc7c39d876a9e6a6add5d50d28}}, {{cite:10667b00e922b4b7d423558fd0566dff9ff48d3a}}, we can use the jump conditions of the solutions and their partial derivatives instead of singular source in terms of th...
m
28e76d5392a643776fbb18c0aedec84b
Moreover, in addition to Recall and mean Recall result with graph constraint, we also report the results without graph constraint of our methods in Table REF . As we can observe, RTPB also significantly improves the mean Recall of corresponding methods. Besides, DTrans+RTPB(CB) performs the best on nearly all mean Reca...
r
d16c7d744395a401c9836a89772413a9
Table REF and table REF gives the quantitative results of our method evaluated at sfKITTI {{cite:29a9197cd2b8c652555d125b6a941c3e2ffabc90}}. The accuracy of our method is substantially ahead of supervised learning methods FlowNet3 {{cite:dd46a738dc2b768f546f66704038157eecf48c1f}}, FlowNet3D {{cite:9e13b545e23442f6504...
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6432c2c098d90cb466bc4d65a2a69457
CNN with bilinear models (Bilinear-CNN): Bilinear-CNN {{cite:a1dc346e7ffe7077da738c372c4d57b827b43b48}} employs bilinear models with feature maps from convolutional layers. Outputs from convolutional layers of two CNN streams are multiplied using outer product at each location and pooled for recognition. To make an equ...
r
a96085d8f61f4737c8a3c64400a5699f
whose target is the dual of the Lie algebra of {{formula:202aa497-cf52-46b1-b7cc-114fca8923ed}} . According to the Marsden–Weinstein Theorem {{cite:f2a766045d2d0211f6c00cc594388b2d4556e21c}}, we may use this moment map to “reduce” the symmetries of the manifold {{formula:942c6459-9d7d-4e64-ba12-105ca16e0fc9}} at any p...
i
35cd4a4b6b92572e30e629a260d3cf8f
The proof follows on the lines of {{cite:d57d13aa636f17800ce8d9f08b45ac8410aec0bc}}, using the distribution as transition probabilities.
r
b308150c5d41d406f1532ea7aee457bb
As was shown by the success of RAEs {{cite:01bc235e441d80872ad340fcd25284c6c38c82a9}}, there is often a mismatch between the induced posterior and the prior of generative models which can be removed by an ex-post density estimator. InvGAN is also aminable to ex-post density estimation. When applied to the tiled latent ...
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e928c0ae66d04c99c0ff7b1b08f09925
In all cases shown there was an “explosive” transition as the coupling strength was varied from one fixed point to another, or between a fixed point and a periodic solution. An exception occurs with lower degree-frequency correlations for the power law frequency distributed case. A variety of scenarios were seen. This ...
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b0c629ef727dae68787e5aab9eb419d3
In order to avoid results stating that classical algorithms are more powerful than quantum algorithms, we could consider classical algorithms with access to an oracle that is at most as powerful as inputs given to the quantum algorithms. For example, when comparing to quantum algorithms with quantum state inputs, we co...
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d102d6502298d323df27f1eceaba0b5c
The idea behind this work is to model the task of selecting the most suitable features for a given problem through a meta-heuristic optimization process. As stated in Section , feature selection stands for a proper selection of features, reducing a particular problem's dimensionality and usually enhancing its performan...
m
0ecd92c42630fa0a1445936b6b2a2778
This paper considers causal discovery for ordinal categorical data. Categorical data are common across multiple disciplines. For example, psychologists often use questionnaires to measure latent traits such as personality and depression. The responses to those questionnaires are often categorical, say, with five levels...
i
3be30c8079436133c77054702d3b301e
Another natural generalization emerges by analyzing the Krylov complexity of {{formula:30ff5512-38ad-48fb-ae3e-62c2fed92289}} , as time evolves, i.e., by considering composite operators at non-coincident locations. In this setup, the OPE does not collapse to a single operator but is expanded in terms of OPE blocks, see...
d
b9187c0f951a5264e291037c9a39839d
Choice of the equilibrium point In a first step we choose an equilibrium point in which the state of the system will reach a sustainable state, such that if the system is at that point, it will never leave it. An equilibrium point, as known in the dynamical systems theory, is a state such as if the system reaches that...
m
d89e8347bdcfe9b8867b87260c57c58a
From the table, we see that the performance of all methods consistently improves with data augmentation. Additionally, among all methods, BRL performs the best. However, the difference between BRL and soft-label knowledge distillation is not as prominent as before (see Figure REF ). Nonetheless, such behavior is not su...
r
65888cc39c59998ea95dca8cc92a4dee
So far, the focus of this study has been on designing the acoustic model. However, performance of the acoustic model can further improve by deploying more robust input features other than MFCC. In the final section, we evaluate the proposed method trained on noise-invariant Wav2Vec features {{cite:eaeafc02e042f0c6aa6d9...
r
c91579a50d2d2582f0ff06b6cb157a45
{{cite:c2d3303f5712d9c02b47d69a16d220dcb9042987}} considered the case of edges representing different types of relation between nodes, and proposed to specialise the message function {{formula:7b4590f8-00b3-4722-837e-1f1402f8c2cb}} with regards to relation type {{formula:e4ec74c5-60ba-4e07-9f73-a2f13859a3f1}} . This w...
i
8ac2cf4b3de4a453dcae1446b36a339d
Data collected for the purpose of machine learning is often in a high-dimensional space, but yet is believed to satisfy certain low dimensional structure, that is, the collected dataset can be well approximated by a low dimensional manifold sitting inside a high dimensional Euclidean space. See {{cite:000305c26e17536b1...
i
d39ec7b518a87e955e471081522aaabf
Also, the amount of {{formula:07e2b794-6c65-41a6-baf5-c9f441dfcb20}} violation manifested in Jarlskog invariant ({{formula:9d20a2fc-cfa9-48fa-81c3-1a2d1c1ecaf4}} ){{cite:fb69d00d78310ec95fdde802021913386ff1f3d2}}, {{cite:6cdc75a33bcba289761b9ae3b47ac4cb3075fc88}} is defined as {{formula:2cee5d0f-c33b-4a8a-bcdc-f91612e...
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f5d694e30b92606f4aed62adc83ea2d4
Transferability with Data Augmentation. The models trained with data augmentation are generally more robust than those without data augmentation {{cite:b9c640f1950d59fb9dd69628f0acbe70f0f0ac75}}, {{cite:b882eeb989eb0044eafca6742008b50db0a5bdc3}}. In this subsection, we explore the transferability of adversarial samples...
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3a1e06f7c5f433e4389fa30755a01bcc
Unlike circumplanetary disks, circumstellar disks have been thoroughly characterized from observations during the last decade thanks to optical/near-IR instruments like VLT/SPHERE and GPI {{cite:a1ced593addbd33a542966adbc004ffd2e8fb04a}}, {{cite:1caea006e50b4e8a6ac3d81a7e684ac350bc1392}} and to the (sub-)mm interferome...
i
ceab9adf9162cb800a2f4670e152e41a
Similarly to the low speed regime, the drag reduction properties of each sample relative to the control disk are plotted in Fig. REF . The best results were observed for the 100 {{formula:97cd6202-62aa-4504-85a6-afa5d0d7ac2d}} m deep groove sample, which reduced the drag by up to 20 %, even at high rotational speed. Th...
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bbf4eb142c61b907b116d7df4ff97e17
Improving the calibration and reliability of confidence estimates is an active research area. Guo et al. {{cite:c87fd90b1f5cef91002bc7ab7cca95e1b55512d9}} found that a DL model is often overconfident in its predictions; they examined a range of methods to calibrate model output confidences. For example, temperature sca...
i
3dd713532f120c19f2d305e5f03ac070
We analyze and alleviate a single shortcoming of using post hoc explanations. However, the post hoc explainers we consider have also been shown to be inconsistent, unfaithful, and intractable {{cite:beca28d20cb8879395132db5d8e363540832a1fc}}, {{cite:fc396c15c446b409cc712bba0869cd008bb32d52}}, {{cite:7aa4ee0e8672ed6ae31...
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5dc0f87016cdf7fc9b1f293ece1f7efb
Anomalies flow by an AB phase. It is known that anomalies in four dimensions are related to global topology of the space through the index theorem.{{cite:0d2760dad6602473026a366178edea51288b1732}}, {{cite:97db92749f8e45bb11284f26815a53ee3ec7474c}} It is challenging to understand the anomaly flow by an AB phase from the...
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bfa9b5ae65172d17bca4d9ba879562ea
The crystal structures of {{formula:211cfffb-4800-4366-89fe-85e3637817a0}} , {{formula:9fe8071d-4265-46a6-9edd-04bfbeb928e4}} , and {{formula:c22154a0-fd4a-424b-88f7-8c425a9bff0f}} -CeXH{{formula:9174cb79-d2c9-4a5f-878f-9d43c2050041}} (X=B, Be) are shown in Fig. REF . Red spheres represent cerium atoms, green ones rep...
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ac3f76c3412dafc76578c9136e235318
Here, we present the results of our classifier fine-tuning experiments on both the validation and test sets, over five randomised dataset seeds (splits) on the balanced version of the EMNIST dataset {{cite:c1fa7a68e7ab7360496aaeda5f83e31c58f34c03}}. Over these splits, the test set is the same (consisting of 10 classes)...
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922c34251e572d86400cefa5a1099bbf
The speech processing community relies on term segmentation to describe a multitude of tasks: from classifying the audio signal into three classes {speech, music, other}, to detecting breath groups, localizing word boundaries, or even partitioning speech regions into phonetic units. On this coarse-to-fine time scale, s...
i
d01b404da8b17dfcfd1f4d89a4ee3e9a
On the other hand, problem (REF ) is finite-dimensional. As a result {{formula:9ba4d9f1-d5da-4f4f-bed9-efe7be6c0607}} has far less capacity to overfit than does {{formula:49ad4bf1-e915-43f8-b047-4aa5b811c86c}} , for any given sample size {{formula:58a54211-82fd-450b-8d1a-d91313575d3f}} . Discretization is not the only...
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0e0e87a5a5ac7a4ac1fd0ac836582247
We numerically solve Eq. (REF ) by self-consistent method using QuTiP {{cite:d3649dab8effefc192f05ab4a66a4ddec9e34cd2}}, {{cite:efe087dc1a7dd59df0377126898d37057480f677}}. As in the case of classical network, here also we take {{formula:e8670011-628f-4964-881c-a93d1686f124}} for the active elements {{formula:b46d34d8-...
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6c5d0ab8375414848fd0c43a80aeecb2
The Bernstein condition for the log loss is satisfied, for example, when the model satisfies the Lipschitz and strongly convex property for the parameter {{formula:959dffad-dd04-45a9-af48-97a3a6402b29}} {{cite:ef4ab73d2981ef24e68fc8ff42e6e89ab62c1f37}}. Moreover, the Bernstein condition leads to the fast convergence, ...
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2d3d044892a696092bcfb2babb9ab001
Let us introduce a last kind of scale, the quantization scale. It generalizes the quantization dimension which dragged much research interest {{cite:6aedf6aea7587cbd82b68a0cba080f169b4a044e}}, {{cite:5890ed7796c5e9f9adb2fbd1c26c745dc3780e24}}, {{cite:332d1f7bdc852098c0aca835811dc28a1f45d3d2}}, {{cite:fdc53bae360c9bebd8...
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2c1d09dd7716c9b807346073e9e24807
While many of these observations should generalize beyond our particular settings, additional modeling or randomization may be necessary for other tasks or robot morphologies. For example, due to different actuation, the ANYmal robot has been found to require additional actuator modeling {{cite:f1a356c107985f639ea321c6...
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2708b18fbe713febdc66890acc4e2089
Recently, convolutional neural networks (CNNs) based face hallucination methods have achieved significant improvements over conventional face hallucination methods because of its powerful feature representation capacity. Compared with the general image, face image is a highly structured object {{cite:63b9c3442d1421d3ae...
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3e2b791beba7dd1ec0d26c534b289e1f
This appearance of the multi-differential groomed jet distributions motivates obtaining a more fundamental and precise description of these cross sections. In recent years there has been significant progress on the analytic treatment of multi-differentialBy multi-differential we refer to observables where the same set ...
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c35440854a55e7d2bf7b54e2f6dd2290
Let {{formula:e09ba82b-9042-4ff0-82da-1d8c715a876b}} denote the variables from which independent and identically distributed data is collected, and let {{formula:db72657a-bf16-4477-8ef3-c46d8277d9ef}} be the finite-dimensional parameter of interest, assumed to be regular {{cite:3e3bbfee4ca1bb0528444c7fa0409c90d7520d2...
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d1fbc31996e8e024aaded8189a8ed22d
We showed that the morphology-independent analysis with BayesWave can successfully reconstruct beyond-GR signals for all injected values of {{formula:72d6cb33-ff78-4be0-a7e8-a3a54d22cb3d}} . This analysis makes minimal assumptions, assuming only that the same signal be detected in different interferometers, come from o...
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a16d22ee7ebf86ab33c16bc0cd9cef2a
The following unusual identity was discovered through different manipulations of the saddle-point method in order to derive Stirling's formula, which has a huge literature since de Moivre's and Stirling's pioneering analysis in the early eighteenth century; see for example the survey {{cite:56a269518469ac5daabf0db3af86...
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a932e9e54d6531cdc1c5f14562c46c48
Figures 1 to 5 show the multiplicity distribution of target evaporated fragment emitted in forward hemisphere, backward hemisphere and whole space. It is found that the distribution can be well fitted by a Gaussian distribution for 3.7 A GeV {{formula:a3410b0b-21d5-4685-943c-6ad2de506578}} O, 60 A GeV {{formula:fdde1d0...
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1104b34ec3ef0fa55cce4ae44770357a
Huang et al. {{cite:0f1dbe1ba59cdeecb63619d2714d9bcb1eff65ea}} adopted spatial patch matching and flow-based method but suffered from mismatching issues caused by corrupted flows. Instead, {{cite:29b877e3f640a6af9eb5c8ac4744322f30a863a0}}, {{cite:7ac80e38f44d3d0500536bb01c0112b875784be3}} first inpainted the corrupted ...
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33171ebbe72b4bc297c9b685170ed403
By requiring {{formula:587db3f3-3f12-4e51-97f1-6935093b0a22}} , one can control the deviations {{formula:914b157e-7d71-4283-8636-56ab401a4cd5}} . Then the minimization of the empirical loss function {{formula:53f6eeec-ce79-4fed-9453-fe19b00ca14d}} is close to that of the population loss function {{formula:b6459afd-de...
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fc44b1e24f6deff0b96d791a856ab6e3
In its original conception, Dyson, along with Gaudin and Mehta, studied the Fokker-Planck equation associated to equation (REF ) and the laws of the eigenvalues for the self-dual Gaussian ensembles GOE, GUE and GSE (corresponding to {{formula:55148401-25a9-41f2-9811-b2f10c0e4cb3}} ,2 and 4 respectively) {{cite:54ffd8a1...
i
7b8da3353ec7dd93665fb8c7905a7618
{{formula:471a2331-417f-4d6b-9f8b-f5dc84a6464f}} -norm has been well-studied in the streaming model {{cite:67095f0af497d99fdb1bf56f2a1a5bbd149a3679}}, where the tuples come one-by-one and the goal is to approximate the {{formula:512d5112-3d2c-4e57-b5a7-396455d199e9}} -norm. It is known that approximating {{formula:fb3d...
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02b7931fe9648853f7edbfb3e689d5b8
Besides using the generalized entropy to investigate the thermodynamic properties of the black holes, there have been intensive investigations on the role of generalized entropy in the context of cosmology via the so-called holographic dark energy (HDE) {{cite:fd7838698498986b38ad6ca5123371246d1a5269}}, {{cite:5e7f7157...
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a8a6e57ec7b213c66e183f59a4a7a939
Here {{formula:34fb353c-07d8-402d-9e8e-c8ff5d8cbb76}} is the modified Bessel function of second kind {{cite:944eb5d09d1d909fd8e9708daed1cad020d09c06}}. In terms of {{formula:e3205f95-29d7-4dd8-9d36-358af1e9bc91}} , Eq.(REF ) can be written as {{formula:9b959859-4b16-4796-9a34-e3f1502270fe}}
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3fbede3068632c72e7426491ba1f788f
Furthermore, in both questions it would also be interesting to know the dependence of the results on {{formula:fe5c340b-b0b5-48a4-9886-7d7bd80127c8}} . For example, in {{formula:527fdbc8-292b-4fea-9651-3e6d93aa20d1}} it is known that for {{formula:9ee9913e-b5a4-491e-bd81-28d049da2c4b}} the largest component is of ord...
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fb0dd01db6168b750b3ae8f7a74d58fc
Based on this observation, a couple of recent works tried to learn separate distributions (one for motion and another for appearance) and have shown improved video quality as well as more natural motion dynamics {{cite:14f728fc33cee66852872a9936569c34a13051b4}}, {{cite:e1aa9433ce737a5621c2b48c5ca4b3cb06ca7d82}}. Howeve...
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b427bd5ccceea26ba29e9cf60c5b1b5d
In practical terms, this concept of generalisation as being grounded in relations of similarity underlies a variety of machine learning techniques such as k-nearest-neighbour classification {{cite:bcff87cdeb91ac3f170e58833b5ad0dfbecbb950}} and kernel machines {{cite:93ba687a18649bbbce1a85b304a68b086c505296}}. As previo...
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379cffb02c340f4cb4260d9dff5e4ca7
Penalizing the HSIC as we do for each mini-batch implies that no information is learned about distribution {{formula:1778f57c-d80b-4938-b9f4-83bb97220119}} or {{formula:7c98d56f-f8ea-49e8-bdc2-6aa3f9b49d93}} during training. On one hand, this is positive since we do no have to estimate more parameters, especially if ...
d
5bd0eedb04415389d0f8e60c20959b39
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