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is the continuous updating estimator (CUE) of {{cite:88c075fdd7c3967bc2c9635ccb7aee6be81e93aa}} which results from a non-convex optimization problem and can exhibit unfavorable convergence properties if {{formula:90b035bc-c12b-4dfe-b895-900f4555e528}} is ill-conditioned {{cite:3000911e7f8badc09ea06f22de3f117ce296e798...
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5b3a22f3b17fdcc32d5bd1215a1a0b69
for any {{formula:123d01ae-3828-46b7-87f2-87e85114ed7a}} (c.f., {{cite:478c7217df237ffce5ad18ac51774d66c864c86e}}). Let {{formula:9694f08a-ed77-443d-a958-1189109ca030}} be bounded vector valued functions, i.e., {{formula:6ba382dc-fb16-40b4-9cfc-1602168b2a56}} . Then, for any {{formula:cda5b337-9104-4d6f-8279-a639ce96...
r
886df43937dafb13da9028763f3361e5
Image retrieval benchmarks. To test the generalizability of our approach, our method is trained only on Pitts30k{{cite:053ac0fde14472f2562e0656a7e9146a60efbb20}} without any fine-tuning on the image retrieval datasets. For Oxford 5k{{cite:1a4ec7dc9cf688840adb4e7c7cea5dd251b78672}} and Paris 6k {{cite:b309e1a77e0d20474f...
r
ce69c81bd3f9f148a9eaa03e8b54fef5
We compare GROC against two other self-supervised methods, GRACE {{cite:5c5b7033d48036b76697fadba9d37a56ef0cafb3}} and GCA {{cite:4c9a3854d67442771f950c86f9e93856e87203fb}}. We show comparisons with the degree-based variant of GCA (GCA-DE), as we did not observe significant differences compared to other variants. Furth...
m
6a8f504536fbb8201dc107ffb2f6cbcb
In this work, we aim at understanding the extent to which MMS fairness, as well as PROPX/PROP1, can be satisfied when the valuations are not additive. First, it is easy to see that allocating all items to a single agent achieves {{formula:f777b43a-451d-42dd-be06-c7dbfdd374b9}} -approximate proportionality and thus achi...
r
4f9e095f1f354f5209e9c735d09f9931
We assume that each client's training data {{formula:36e409a1-3025-4b7a-af09-d1f8bcb8747f}} is IID (Section REF ), and based this assumption on state-of-the-art papers {{cite:28e1753c713ada33a476ca2d460615352b30a79a}}, {{cite:960a9ffadc2d040c6f7e21443ee407124b9ddffe}}, {{cite:9ff4ebeb97a5d5d5f5b93204e8786795cd9f4364}}...
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d6c3ebb89a615277576c9491d80cbcc0
From the experimental perspective, we note that timescale separation is generally induced in laboratory experiments by preparing the reaction so that the ratio of initial enzyme concentration to reactant concentration is small (i.e., with {{formula:1d58c1da-64ad-4658-89df-424e2dbd8fd5}} ); see {{cite:b34d573f8694e4db6f...
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e3f7d1a411529578968526a1a1d42bf6
We chose two different structured pruning methods: Slimming {{cite:50992ea3d97781a86e4d9c676f4ad45668595a54}}, an influential method in the literature, and SWD {{cite:8d99afb464620470f489984c8573e290378b5825}}, that is more recent and has shown a certain ability to give competitive results on multiple networks or tasks...
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c8cab52529f7496210be9ce746023fd7
In conclusion, models of neural circuits are complex dynamical systems capable of a large repertoire of behaviors. Mean field theory, in his diverse incarnations, is one of the few tools at our disposal (and arguably the most successful) at predicting the collective behavior of such models. As we learn more about the p...
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6ef8a65e88b86cc26ad84b709679a259
Pose estimation aims to determine a six degrees-of-freedom (6DoF) transformation between viewpoints. One way to determine this transformation is to compute point-to-point correspondences of 2D features tracked over time {{cite:f00fae9432724f7978d8de208f4220bff5fb7c33}}, {{cite:17df33c571f00eb175789b80972f070046cba052}}...
i
d23d5288b3b4b2b63ff95823fa3badb7
In this work, we use adversarial robustness to probe ideas regarding the `dimensionality' of neural representations. The neuroscience community has advanced several normative theories, which include optimal coding {{cite:a3eaea2f29fe04492295ad37ad4f099435e75554}}, sparse coding {{cite:8e961b694fb01530a3a12f049b3bf436f9...
i
64f2ab28d0bdbddfd3e0f22d59499d55
The results from both the SED and the two-filter method imply that the global and peak temperature for the observed TRAPPIST-1 flares are lower than expected from the empirical flare temperatures used in modeling the energy budget of a flare {{cite:d8277025f82be6ca9b92b557ae6d2f6fe84f1ffd}}, {{cite:e6cbc9322f7f31c389a8...
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Deep neural networks (DNNs) have established themselves as the first-choice tool for a wide range of applications, including computer vision and natural language processing. However, their impressive performance comes at a price of extensive infrastructure costs — as state-of-the-art DNNs may contain trillions of param...
i
4b7785ec21e0ad488549df7005ba43b3
The hot-film voltage {{formula:99ca8a39-e78b-450a-81f9-8a99ed365f9b}} is measured over time. We remove parts of the signal where bubbles interact with the sensor using a threshold method on the time derivative of the measured voltage across the hot-film (see {{cite:2a6788fe43fdc55316b5653762aac5f41297208c}} and the re...
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We evaluated the perceptual quality of the synthesized speech produced by our ultra-low bitrate codecs, operating at {{formula:55402c21-f90f-4ca4-9853-0dfe42541cc0}} and {{formula:86ee4109-b117-479c-96f8-437808b38bbf}} , by comparing to Speex wideband {{cite:ca93338f336c4e1d7b965d783afdfbfec10955d9}}, MELP narrowband ...
r
44f86519770a82bac4a54689c469ec02
We study the correspondence theory of intuitionistic modal logic in the modal version of Fairtlough-Mendler semantics, using algorithmic correspondence theory methods, as explained in {{cite:fe0fc9b27cf56bc25c6cf985d2ed2410f491261e}}, {{cite:1df29c62974dd5d53e8ad00db58c65e4a0fb5c35}}. We define the class of inductive f...
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0ccd38aa4417134600a18701e0fa1a1b
The suggestions in  {{cite:e8cff6739a33df07f0af2a9f6602b2c42b59a437}} are applied to create the segmentation model. As illustrated in Fig.REF , the input image is passed to a feature extractor CNN which generates feature maps initially. Next, the PSPNet  {{cite:e8cff6739a33df07f0af2a9f6602b2c42b59a437}} which uses vari...
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Assuming the form of {{formula:21e414ac-285b-4cc0-96ff-df36ff7323ad}} we are able to solve the field equation with/without an unknown rotating function. Our solutions cannot coincide with the 3D solutions of GR because the constant {{formula:88f1e429-ad89-44d9-8c4b-51a40d591e64}} is not equal to zero. Although our fi...
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69129b6e51990015aa6b699c284f594f
We observe that these convex loss functions have some limitations. For example, {{formula:7dd1a7f6-6434-4200-8b1b-e1802669029f}} is a convex upper bound to {{formula:584ddddb-b1ef-4fc8-addf-24a73017e188}} provided {{formula:2f8f6016-cbf4-422d-a623-64475f7c0844}} and {{formula:8056d767-198f-472f-a32b-ae496d71a756}} ...
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8b1c7310cb78aa391cb182a7f92f2d86
Leveraging ML/AI frameworks to discover (as opposed to merely fit) the governing equations of physical systems from large amounts of data offers intriguing possibilities and remains an open field of research. Recent efforts in this direction include physics-informed discovery strategies {{cite:00f98acd289e058578ccac534...
i
98e5d876d70be27af4214b30778a9fa4
We report results on the production of {{formula:7d8a9337-a4bf-4bad-80a2-4c6a327e4814}} , {{formula:45eaf56a-5197-4ac4-94df-166b959b625e}} , {{formula:33eec4bc-b726-4673-8241-34f0f84c14e2}} and {{formula:b344f0e4-b203-4db7-884b-5826a9d01854}} measured in {{formula:43461590-3b74-442f-8d5d-b6cee21cad6f}} collisions at...
r
a31aab8bfd0eb3bc9cf2747cdaa9e9e1
We first emphasize Theorem REF is not perturbative of {{cite:331788da1ffe99f46b1910e4daa93616e27dfc9e}}, as will be shown shortly; the non-integrable feature of the particle system of interest is manifest in some quantity which does not vanish as {{formula:a8a9d966-4876-4396-9dcb-a4557262d09a}} uniformly in {{formul...
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0938ab8d45772797336b4f5409720083
In addition to the corresponding query strategy, some researchers have also considered the impact of batch query size on query performance. For example, {{cite:1828fd1ade1733391dfeefdf442d1695827c5303}}, {{cite:456c37e025a0f0e935caf6ab6c22311d47f2bf23}}, {{cite:ff1e96613f30cf4fefd075aee72ae0215f0c7e67}}, {{cite:87631ff...
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376c5a8d83c107d7591ed49c0c269342
For fully-connected layers, it suffices to ensure that the weight matrices themselves are orthogonal. The GroupSort {{cite:84856027d422b7222500620f6b002a4e9eeb822a}} architecture achieves this using classic results from numeric analysis {{cite:ec21a67f674665fad30d0930b3aa695ff40fc5cf}}. The authors parameterize an orth...
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c46d202bd86481a576548bffdee3093f
where {{formula:65f36a59-e587-4371-8d23-87e2ef43ef70}} is the intrinsic kinetic energy and V is either V{{formula:219beaba-5210-4db7-b1ee-d5ba664ce997}} {{cite:fbb044cea3e4cc7a48093d1245b25c7f5028156c}} or V{{formula:85ddd16a-f9d7-42a0-9610-10ccab1d4298}} {{cite:7b3adfaa50487b8296394a91f8359321b509e8ca}}. V{{formula...
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6e1f9a06ba06de1fc799ab7581a2e6c5
In this section we record a number of properties of certain boundary extensions of holomorphic maps between simply connected domains and the relationship of these boundary extensions to the harmonic measure of sets on the boundaries of these domains. In doing so, we use a number of classical results on the boundary beh...
r
9f462eb2a321f7c6a3429b4a3d11a741
The Pitman-Yor process is a particular case of a Gibbs process {{cite:40b2c8d452a3c11dd4a7e269dd18c3a162b8fcae}}, which itself is a special case of species sampling processes.
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ac98cc9732cc106e8e047124477e7e38
To address the above problems, we propose a complex hyperbolic KG embedding approach with the fast Fourier transform. Our approach can utilize the representation capacity of the complex hyperbolic geometry as well as the well-developed attention-based geometric transformations as relation parameterization, while we bor...
i
cf1b047523d1fcb527498d28fac98d93
The maximization problem (REF ) can be handled one matrix {{formula:0d53e518-d3d4-49b3-8431-c530ff4253ab}} at a time ({{formula:6cfcc6d3-1c7f-4a85-9605-ba3052f71924}} ), that is, by block coordinate ascent {{cite:b820a726313557091e9dceb4f15d3d463e9ad317}}. Given a current solution {{formula:1b7096fe-181f-4613-b4f0-c6b...
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cb119dc3664b6ae8ddce214a7f401be4
An RW on a two dimensional square lattice also returns to the initial site with probability {{formula:29b246f7-98fd-4890-927f-65955d086218}} . In contrast, for RWs on hypercubic lattices of dimensions {{formula:ae8a55a8-7e9c-4eac-b0a3-d113d8ea68de}} the probability to return to the initial site is {{formula:59c7a617-7...
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08d931048664b424fa9b160913cb0c33
In this paper, it is assumed that CSI is not available at the transmitter. In some scenarios it is essential to obtain CSI at the transmitter. The impact of total CSI or partial CSI at the transmitter on the behaviour of multidimensional constellations can be investigated. For example, it is likely that the user-speci...
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e5dadb37b356e440382ddeab06c5021d
A very different behavior is found for quantum walkers {{cite:06d0acffd1084dd99ae461fb9c6ae6ce4f69b661}}, {{cite:afe434401aa279dbb19247a8286615ecb40fee6d}}, {{cite:9765ce63f359eb70695f7470aa3a3d9bc1c37f48}}, {{cite:0f8928e6a445daf13ba6dbb5c8a3d87f6a4579d6}} on finite graphs that start localized on a node of the graph. ...
i
a2f0116becd374697d55ccc1dc8889ea
The knowledge graphs are important for many applicative use cases like social networks, web-based collaborative knowledge bases like DBpedia {{cite:3060157e721ddff4dbb9bdbb93646befef222518}}, and in healthcare when trying to model protein-protein interaction networks or genetic information {{cite:272b613d755d41084d26e4...
i
c01f050560e202afd47b091ac5eb6de0
The Deep Learning Toolbox was used to design network architectures and perform backpropogation training. A Scaled Conjugate Gradient (SCG) algorithm was chosen as the training function to deal with the large AUV datasets effectively. The SCG algorithm {{cite:28425df004bdcb522d192cf8c8ffeac6dc22d8ad}} abolish the need f...
r
7f21b497e642682b893ecb2951fc74a5
For comparing the ResNet+TCN network with other works, we took reported results from the following methods: video-level and frame-level InceptionNet {{cite:ea6b59f45238ceddf0833087c68a5a92e989b58e}}, C3D {{cite:ea6b59f45238ceddf0833087c68a5a92e989b58e}}, I3D {{cite:e3881dc528c0a71a760340a771066e759965fd50}}, DERN {{cit...
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9d70370224ce5dc6c487c9965e9c4bb7
Sparsification of neural networks is becoming increasingly important with the increased deployments of deep network models to resource-limited devices. The most straightforward way to sparsify neural networks is by removing weights with small magnitude {{cite:bc3e12755c8d70aba7ccf7637f3b02d5f2d286d4}}, {{cite:4756deae7...
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aa3c582287b9a797e7e7a69928941eb5
Finally, in Table REF , we summarise the results from using our stacked neural network and compare them with results from using simple methods (persistence and climatology), other neural networks {{cite:53c9c56d901b84d4a4107b3f0cbf8ac43e5fefff}}, {{cite:963c62e425a2cd64c515cb7ed276135a946e378e}} and numerical models (I...
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6a8ed107b78f73f02a06f068d956ab70
The video sequence is high dimensional data that contains plenty of visual information. Thus, preserving important cues yet filtering out the redundancy is important to learn effective anomaly detection models. To learn robust global spatiotemporal contextual cues, we feed the extracted local contextual features of {{f...
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10b82457cb8e845d2f8ad8227069ce6d
In this work we numerically explored optical nonlinear and nonlocal interaction between thin liquid film to channel WG modes in integrated photonics platforms, and employed it to perform digital and analog RC tasks. Our 3D simulation results which take into account optical propagation with losses, heat transport, fluid...
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7bb211e5e4648562feacf2b6581b5489
Consequently, nonparametric methods may be expected to have an advantage when an accurate model is important to obtain an unbiased estimate, e.g., in the presence of significant, complex confounding or censoring, especially when response and/or treatment assignment surfaces are nonlinear {{cite:4e8dea729aa7ec9b53d9ba60...
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91128ddafa52bedb5a5adbaef5334307
Since the theoretical results in Table REF can agree well with the data, our approach can be feasible, which is based on the factorization, pQCD counting rules, and baryonic form factors. In particular, several {{formula:edca8755-e709-484c-b9a5-8f53ce4b4955}} asymmetries predicted as large as 10-20% can be promising ...
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05f233b8179edf8e480fd3a325fc3d56
The algorithm that we use to fit the suggested model has been described earlier in the statistical literature {{cite:9246d591c213e73c3a9a7ff1a8d9012f90be783e}} and its use illustrated in various simulation settings. Moreover, there does not seem to be a general agreement on how to simulate the data resembling the true ...
d
7230bd208137fa67b699f8855e6b3ac0
This leaves the question whether the long-range spin-spin correlations might be used to witness the phase transition. In a large, yet finite system the long-range correlations can be build up in finite time {{formula:6a1d2a5b-db5b-48b8-a68e-cb268b9630c4}} , where {{formula:ff223928-f26a-424a-8e76-8879fe4e2a5e}} is the...
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46cb24956b51ef6d501fd5608e6341e1
Datasets We evaluated our method on a few standard image classification datasets, including Cifar10 and Cifar100 {{cite:be6ffda37a333514e590b9babfe9df9ac30f6dcf}} and Tiny imagenet {{cite:12c23423be7ff9f25c5f424188bca2650c442340}}. Cifar10/100 consist of 60k {{formula:fe838afe-e363-4105-b6b6-9bbc963b1eb1}} color image...
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27c8dd244fc6cef8792bd368e702b3b4
In this work, we firstly calculate the {{formula:92e66eb7-e849-422e-b4cd-10489c8587bb}} radioactivity half-lives of nuclei with 4{{formula:3a3b8f4c-39d9-41de-99cf-6d7dc614654a}} Z{{formula:4fc644e5-1922-46b7-8a3d-0cd2fec8f11a}} 36 using the TPA while the nuclear potential is obtained by SHF and compare our calculated ...
r
1f79633d6648588ef289eba29adc9a23
From Table REF we can see that the our method has a higher advantage compared with the baseline and the source-only accuracy, a little lower than the target-only accuracy from both adaptation directions. In comparison with other models, our model has a better performance for most of tasks. The CDLM has a higher adapta...
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06a369a58ad142b59815086589a8b093
We have used the dataset from Surface Layer Turbulence and Environmental Science Test (SLTEST) experiment. The SLTEST experiment was conducted over a flat and homogeneous terrain at the Great Salt Lake desert in Utah, USA (40.14{{formula:d86bfe47-c5bb-4462-94fa-14a7b7cf7aba}} N, 113.5{{formula:9a837cb7-fdf9-44bd-be22-...
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2da684c0014f67dfbf46aabf6969ebcf
{{formula:f521c43d-a463-4d86-b3e6-6fdeb8e15779}} can be ascribed to {{formula:af0c0b69-9d4c-4ca5-8e8d-eb6b7e237f52}} , the SUSY contributions to {{formula:bdab1101-ac34-46ba-8d83-fa7b2b56adaf}} in order to constrain our model. With further results to come from the Fermilab in the near future and the data from upcomin...
i
7b75a1d07715d8fcb278b3dc3074fa4f
We calculated the performance of our models by training them 5 times with different seeds. Table REF shows the average recall over all emotion classes obtained using the different features extracted from wav2vec 2.0 models. We also show two systems based on eGeMAPS and spectrogram features, which can be considered as ...
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afbdc8da22be8e190c414c04200f6b6a
We have generalized the mean-field Hartree Fock description {{cite:3bdb8642860b1bb9fa130e63f6261fd05f86bc88}}, {{cite:45029e275707f143eb89588b51d3f25a7ba24784}}, {{cite:7721fc79e61edd1fec6a635e5dfa27e2e06d43e7}}, {{cite:a4f25c578898d8ec3980eb9240aaf5891cc335f3}}, {{cite:f7a49931bffe68ed1604398bc1993210a8208b92}} to pro...
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af7981a4aecd169f107509e3061f7a0d
Finally, we also consider a supermassive black hole binary (SMBHB) system to explain the long-term periodic temporal signals. {{cite:b31c9434e5b6965d1b35001f12b1841e3754898c}} ascribed the optical QPO in the blazar OJ 287 to this mechanism. Several other discovered candidate QPOs sources are also discussed in this mode...
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3adb0a54158316ef91cbe79b84379984
To tackle the aforementioned issues, we propose to leverage the Marchuk-Yanenko method {{cite:b980b6af3aa13029320e1e14fa88e6137a359145}} and the {{formula:57019c4c-8d10-492e-9545-dce1a5e26e4e}} –projection {{cite:a562dcbecd90769fdb3401c2f42e2fffe0cd9988}} to implement the time discretization of equation (REF )-(REF ). ...
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b34f539706f7cac45bed6d554aa5ffa5
The explosive growth and increasing complexity of the data have raised huge difficulties as well as challenges to the traditional centralized machine learning schemes due to their heavy dependency on the local high-quality computing and storage resources. In this context, the distributed learning {{cite:5c57fde01f6e585...
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2c0a1661152f0880947239571c0f07d1
We propose a framework for processing unstructured information into a knowledge graph. The framework consists of three distinct modules, namely an information retrieval module, an information extraction module and finally a module for risk measurement and graph analysis. Even though the source material consists of writ...
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02eda1f7db6719b19d447ead0c70ede6
In closing, we comment on the possible relationship between the superconductivity reported here and that observed in moiré systems. In RTG aligned to hexagonal boron nitride, the moire potential only weakly perturbs the underlying isospin symmetry breaking{{cite:937ae0b82973b14ab0236d0583a6b3727a10def8}}. The {{formula...
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bcbcabddf198edede28b84c816b5d304
By using the isotopic IBD yields from Eq. (REF ) and the correlation matrix of Eq. (REF ), we can estimate the predicted IBD yields of a future experiment with ({{formula:43572dfd-5ae8-4878-9db4-8befc083f654}} ) {{cite:a4aa9bafb327785d9f83dd7fb4f084a6069b9799}}: {{formula:6a3ecbcf-1e0c-4e91-9db1-0050bf74be97}}
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0d2ccb63c5e3acf6b2428775cda5e4e0
These results shed light on the question of why higher-order interactions may be important in various applications that exhibit collective behavior. In particular, by modifying one's balance between dyadic and higher-order interactions, a system may self-regulate not only to modify (improve or worsen) its current colle...
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2ee887a407d5bc3c3204880c073006fd
In this section, we detail each part of our proposed SAFF, which aims to develop a solution that can both improve the transferability of cross-domain features and exploit class-discriminative information to generate labeled cross-domain representations that implicitly preserve class-discriminative information, thereby ...
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2e41910c5a273edb53dcb769e5e59bd5
The generalization of the RT formula to geodesics with non-zero winding number found in this publication considerably strengthens the “entanglement builds geometry” proposal in the AdS/CFT correspondence. Due to the fact that the BTZ black hole is given as a quotient of pure AdS{{formula:ce4bcd39-4f0b-44a8-aad2-288624a...
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c0f9a94edb60ae68eebafa566d7cdbef
Section 6 is devoted to a proof of Theorem B. By virtue of the identities (i) (ii), the proof of Theorems B boils down to establishing the level-1 Large Deviation Principle (LDP) for the map {{formula:2b3d85ef-a8fc-4d37-958a-a3abcb608c69}} and the function {{formula:2dc48dbd-8327-4449-aaaa-d2711df31d52}} . If {{formul...
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{{cite:adfbfd6bee5287ecd0bed2227aa53b8b2b8efe5b}} discuss transparent models that automatically incorporate explainability such as Logistic regression, decision trees, and nearest neighbour models, as well as post-hoc models, that are explainable with the aid of an additional technique.
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However what is interesting in the present calculation is the simplicity by which one can deduce the main features of these cross section calculations for these interesting processes using the leading order diagrams, {{formula:b0cfbdbf-7759-4382-9493-42d129262d97}} in QCD in the framework of BSE, namely the consistent...
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19a83f1977bf2971f9d5bf749db50662
If {{formula:16c82ff7-e868-45cf-963a-82e0f1ec4c77}} is slice, the notion of slice regularity coincides with Cullen regularity (see {{cite:ebddee9c8579c8df456d31d9c9617d9a7a4c1019}}). A useful result for slice-regular functions is the following
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45e57fc856f235639c9c4c976a9a738f
Edge detection is a task and a method of feature extraction. In this paper, instead of producing edge-maps such as in {{cite:9077caa3b78301d8a621b5af64ad44d17de3a017}}, {{cite:a8be79107d423db7f27fd725f4cc182ebe4c2be3}}, we will focus on how to extract robust features for image recognition. To the best of our knowledge,...
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c82fa11c9b15a0622ce07a4d565d8ee5
{{cite:000cbd7adf4ebe6829271d2005324b28af95d3d6}} also find that SNe Ia with early flux excess originate from younger stellar populations. This, and the early flux excess in some super-Chandrasekhar SNe Ia (e.g., SN 2020hvf; {{cite:31a01c6857751f33b999671cf83e8f8a029ea0c0}}), might suggest that some early flux excess S...
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c1e29ffba9b3da8eb594ccc3a21bf3e4
Point-based methods aim to use deep learning architectures to directly process 3D geometric data. For example, PointNet {{cite:b07f5e8d93117c8e9916f049c842c611fba5bfdb}} applied successive multi-layer perceptrons (MLPs) and a symmetric function (e.g., global max-pooling) to learn translation-invariant geometric feature...
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Next we turn to the strain dependence of the in-plane upper critical field, {{formula:9c9f68c3-c968-4f86-af2f-bace7d6ae739}} , which was measured by ac susceptibility at 20 mK. Experimental details can be found in Ref. {{cite:0673bdcfb8630f49728a69d026d4f672a406381c}}. Figure REF (a) shows {{formula:4f5a0eb7-e83e-4e9d-...
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The characteristics of unperturbed density of states {{formula:f8a523da-79db-4bdb-9d33-f520a19b0913}} for pure Heisenberg ferromagnet in the simple cubic lattice shown in Fig. REF is well known; see e.g. {{cite:4b440e71de2ad057bdab2f7f395da45295195431}}, {{cite:98c65a95a05f1e84fe1efc138e14406083453917}}. The plot of ...
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Recently, {{cite:cbbc17991871109997ea1ceec524939ebf1c0f5d}} took a significant step forward in this direction by developing a semi-analytic Monte Carlo-based model for the dynamical evolution of binaries that is analogous to a first-order diffusion-based model. They compared the results to direct {{formula:e4976273-4c4...
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Weakly-supervised segmentation methods {{cite:e7922b71ca7ff938ecd433ebd241b949c2820051}}, {{cite:2eccfe840ffd83e6619f40c1672a333f734d360b}} rely on weakly annotated data to produce annotations for the unlabeled portion of the data. The newly produced annotations along with the original existing ones are then used in a ...
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177c366247729e8f293e276665a6a91c
such that {{formula:afa5288c-85f0-4318-87b5-b97a25860651}} , is finite. In analogous way is defined Noetherian ring; a ring {{formula:4f7f1052-af01-4c2e-8175-109e2f0964fe}} is Noetherian if it is Noetherian as a left module over itself. One can see equivalent definitions and properties e.g. in {{cite:ebb3cd358d7cc68aa...
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44ec21d77ddcfebaea32b07e7fd858e7
where {{formula:51945e21-e23c-4cc7-a788-2cbd6e62d983}} is node representation, {{formula:60c3a5dd-f332-4121-81c6-604b6d122a0e}} is also the node representation, but it's not used in the downstream tasks. This setup is similar to {{cite:44a96b963ff2d46844d3be5b8cab78141308993d}}. {{formula:e6575008-7a6b-4401-8e14-8269...
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2df87ce8d84d2cc6e756872b763e9aa9
Here, {{formula:998f64ff-86f1-4da9-b9fe-3dce354164ae}} is the quantum of conductance {{formula:0391114a-33a2-4695-a1fe-7e797048955d}} . The transmission is computed using the NEGF method {{cite:72ce11dbac2fbf69ebeb8bda87aca05279c90ac4}}, where we employ Wannier tight-binding Hamiltonians constructed using DFT as desc...
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49f53666aa04084fcb00014698785e44
The longest common prefix (LCP) array is a commonly used data structure alongside the suffix array (SA). The LCP array stores the length of the longest common prefix between two adjacent suffixes of a given string as they are stored (in lexicographical order) in the SA {{cite:174424f3ca42484cd22cfd07cd51ccf4eb260371}}....
i
6ce26802d83743f3567ad4f402f78597
Adjustable latency. Figure REF shows how the performance of our online approach evolves as we decrease the allowed latency from {{formula:79b7b6f8-add0-4a29-a8af-8509cdc46a79}} s to {{formula:71160c5d-8737-455e-a26c-9fbfc735e88b}} ms. Speaker confusion error rate consistently increases as the latency decreases – while...
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af543274ab12e26f8d7772b0448fe0dd
Our work is also related to a large body of literature on dialogue policies in negotiation {{cite:0e7fa5aca281c980206686e1b5fba2e6c52b39cb}}, {{cite:c96fa6d47b62c05ac69a95b35a6df1b5080c02a7}}, {{cite:47323373bfd4ee3c0a9ac40fb56af776f239384b}}, {{cite:48be0c87713fcb28f35aa35d86219c458cfe8a2f}}. These work mostly focus o...
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In this section we present a summary of the two-level PR-RBC method and its extension to systems with moving loads. The two-level PR-RBC method can be applied to any linear time-domain PDE which admits an affine representation of the parameter. The latter can be recovered by means of empirical quadrature procedure (EQP...
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6baee192e99023482032e92541120d49
Let {{formula:a2978224-efd7-4f59-b76c-893ea6774081}} be the uniform Cayley tree, where each vertex has {{formula:d3334009-105d-4143-995e-f06a0537082e}} neighbors with {{formula:c799c006-e849-41e4-a4c7-48a64bba5811}} being the set of vertices and {{formula:a46d8530-8e15-49d3-ba12-3a3f4ac30c23}} the set of edges ({{c...
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Little is known for extrasolar planets, comparing with those residing in the solar system. Theoretical estimates on the obliquity variations of planets have been done for those residing in the habitable region, motivated since obliquity determines the latitudinal distribution of stellar radiation and is important for s...
i
86991db9030036facde68e29031e1d3c
In this paper, we generalize the gradient norm minimization to the composite optimization based on improving a pivotal inequality in {{cite:04247494ad01ffd1c64951b1beec9cc4aa66d7cb}} and {{cite:2df0561ec84d6b5ef316cccd93659d7ea3024d07}}. With the well-constructed Lyapunov function, we use the phase-space representation...
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fc84ad16ecb0100242f625f28ec70a76
For our approach we chose a recently developed spiking neural network {{cite:75536e327d5d1aef0a99d7b91592e2217c48fce6}} with an inhomogeneous weight structure. In a first step we successfully transferred the main principles of this network to the Loihi research chip from Intel {{cite:6e1a92b4b9f2b792c3816ea8a618f3d8166...
d
74ce09ee6fa6c6a5d6a232824b2a44e0
with {{formula:befcee19-6731-42e7-a2ef-7e34ea7c02ac}} a classical weight, and {{formula:5844413f-0f0c-4b48-aadd-07699f10fbcc}} or 4, are prominent in classical random matrix theory. For example, with the choice of {{formula:f2a8242c-3d67-4d3a-b9ac-789eb0aa3e70}} as a Gaussian, (REF ) is the eigenvalue PDF for the GO...
i
89f14d661395536aaff08e5148b77b46
In follow-up work, Wang et al. {{cite:efdd50251c0a431df66d4c42706b12f1365beb2f}} presented an improved verification tool named Neurify (https://github.com/tcwangshiqi-columbia/Neurify), which supports feed-forward and convolutional neural networks with ReLU activations. Specifically, they improve the underlying over-ap...
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7889001d3ebf730fb919cb3be58143fb
In Fig. 1 we show the typical stress vs strain curve obtained from the AQS simulation. The system yields at around {{formula:b00cae2a-19cf-4158-b489-7662187f16aa}} and after that steady-state plastic flow sets in. The mechanical response comprises a series of plastic events involving the rearrangement of cluster of pa...
r
0677c1383f90859cbd698caf1ca9a931
As a prevailing approach to AI, DL is an efficient method to analyze data by identifying patterns and learning underlying structures, denoting an effective approach to problems faced in various scientific fields. DL algorithms have been integrated into the physical layer of wireless communications systems  {{cite:1984a...
i
e3419b7769cd32f7ade3ed771c2f1e60
Video Generation Module: Our video generation component takes inspiration from the idea of decomposing videos into a separate motion and content part {{cite:f19d3eb7162be156db41c85062f3f93ea06cf313}}. Our video clips {{formula:5163840a-4a61-4915-b348-57218a6142bf}} are composed of {{formula:5af2eda9-2fdd-4287-ab96-d0e...
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eb454364af622508ca044cc3e5c97e2d
We visualize the multi-head attention maps of the [CLASS] token to all the other segment tokens in our vision transformer. As the [CLASS] token is optimized for image-wise discrimination, such attention maps indicate the most informative groupings of segments that will induce the most discriminative image-wise represen...
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1753634a6379bb112fdc2d58a9531159
The {{formula:724a182a-ff14-4c60-bd0e-e5dd4fd18be9}} theories were mainly introduced in cosmology in an attempt to describe the early and late cosmological history of our Universe {{cite:d0bf9462cfdc646b9c9ebd86a849c020a60965f5}}, {{cite:725d78a172120d01faf1d1fe70ab0ac1599b3152}}. The consistency with GR imposed const...
i
34b9e86e9f2fa3d497850552d040adb2
Table REF presents the detailed results of OOD detection performance on long-tailed CIFAR-10 with imbalanced rate 100 with various OOD test datasets. From the results, we show that our method can outperform OE {{cite:1cda6fa1d109e11eac9ce4fba673aca9525c941f}} in OOD detection tasks when training dataset is class-imbal...
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0da56f3308a1bf784ac1757fb860bbf0
All models are trained for 1 million steps with a batch size of 32 using the AdamW optimizer {{cite:cbec1620f79eeac91215a451654b38c93568939c}} with a weight decay of 0.04. For EfficientNets, the learning rate is set to 5e-4, and for XCiT networks the learning rate is set to 2.5e-4. Because our data is natively complex-...
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07784feb4084ad7195bcf91e398a596d
Learning Without Forgetting (LWF). LWF {{cite:531aab452bf03c0185252556d0eab3eed36ecbba}}, when learning task {{formula:dafb183a-e1c2-466b-a403-85ddac171949}} , uses knowledge distillation {{cite:702379a7223810df0b84e59edfaa15caadba89dc}} between the old model (with parameters {{formula:da319fc6-c88e-4a5b-b77c-65bc9a190...
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8aae8ac0e7ef081f5fef34e885f8c62f
As shown in Figure REF (a), existing dynamic speaker-specific modeling methods {{cite:dca931958f84d995d1626a5aa1a18c514ce5415a}}, {{cite:442a1a3345781f3e28888f3ced0685a3d6c7cd4f}} design speaker-specific recurrent neural networks (RNNs) to capture self-dependencies between adjacent utterances of the same speaker. In th...
i
e0eee7929db71b6b3461436f16d10edc
Human Motion Prediction (HMP) has a wide range of applications in autonomous driving, human-robot interaction, and animation creation. Most previous works {{cite:3e02507909ba8f101428ee8e2f12c7656e4c697a}}, {{cite:3702421d20b58dddcc000f2b221cc83fa3545af5}}, {{cite:244513a183811f28d0328110582b17a1e9fd7f0a}}, {{cite:dba38...
i
67d5a3418bc19ad8721c7fef376bb1a4
Following, {{cite:72e5e965b460e1fec2a15601b391801422077ff6}}, {{cite:656843b809623ea7449a3d5b0e501ec6a8e76151}}, {{cite:0629ce3e9e029917bd0095dda546a97d468e3e15}} we calculated the wavelength-specific flux {{formula:e655f376-e844-473e-a69f-336bf73fa6fd}} ,
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46564b84e9741523d97c4f0d86a05d4b
As for other methods for the estimation of the mass of the primary particle based on air-shower observable, the use of hadronic interaction models comes with unavoidable systematic uncertainties. As studied by several experiments {{cite:0f64f9e70c4789967ca7a97d48423116ef0d3582}}, all available hadronic interactions mod...
d
6bcc3a28675e3f41a67450f1ce356018
where {{formula:eebd0f64-cd12-4584-b88d-7a62b0315817}} is the evaluation at {{formula:da0f3b8d-b7f5-45d0-8144-105af110e547}} of the degree-{{formula:e2339948-4034-4bb3-be6f-c9c35362f7bf}} (binary) Krawtchouk polynomial {{formula:ab980ea2-33bf-4b63-8497-22373ced4d9d}} defined as (REF ). This program is equal to the ...
r
93a361bd89c124902deb571f4e00fa74
It has been realized that KL property in the sense of Attouch et al., and hence the one from Definition REF , is satisfied in broad settings. In particular, it holds at every nonstationary point of {{formula:4e46c2e0-1e2a-403a-a114-fb329047e5a8}} ; see {{cite:ac4589560f6b60fb00f4c5b408c06712ee866312}}. Furthermore, it ...
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d91fb1d6bab9ddb6585288176593db5c
Our brane correlator {{formula:e1585d6b-fd20-4870-86c5-17d3070d7a6f}} is similar in spirit to the two-boundary component of the baby-universe wavefunction in {{cite:e79c521f5d7bca1b48c98c860b92c3e91b030ee8}}, and to the linked half-wormhole {{cite:678134adceb8a73354fb1dcb2086e05ded2e3349}}, but for one key difference....
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26d37769292326d2bbdb3c852408a6fe
In 2011, Harko et al. {{cite:ad482c9db58e10ea5e6b728471413a824f0b244c}} introduced another alternative gravitation theory known as {{formula:a5ff5a71-cef6-4f04-9621-bc48d7dc6f2f}} gravity. This is also a generalization of {{formula:dd49b7c6-46f5-450b-a698-ae0630ccddee}} gravity where {{formula:8c5527f8-79b6-460b-886f...
i
6c1b213c7323619a9690bcea5c0d5da7
The {{formula:0737d676-71b4-44ad-90cd-a3814b49ad88}} torus simulations of the CMB temperature anisotropies were computed by implementing the following effects of the Boltzmann physics and the influence of the discrete spectrum of vibrational modes dictated by the topology: the roster of physical ingredients of the {{fo...
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