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To sum up, we conclude that Lanczos coefficients and K-complexity behave in an inverted harmonic oscillator as if it was a chaotic system. Some comments are in order. First, our result differs from OTOC, where OTOC does not exhibit chaotic behavior at low temperature{{cite:560d012672543b27fae10b74d78b4cff7436b112}}. Th...
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259e494a7d9d5acdeec52bd0a758275f
It would be interesting to explicitly identify the dual {{formula:01a28f43-2ece-41a0-bb7f-30fe3df93ba3}} SCFT together with relevant deformations dual to the solutions found here. Uplifting the {{formula:cb0de23b-8c5d-4c01-aea7-fa062fd89e45}} gauged supergravity considered here to higher dimensions will allow to embe...
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6759af2e976743eae8a789c8870567b7
After all the iteration, we can obtain the stationary point {{formula:eba06a40-dc51-4948-9282-b1adf5a37cd3}} . Here, we can use other splitting methods such as ALS {{cite:f65d5e9e6716b21a7428977d1f97244c8b097423}} and PRS {{cite:9c1cce6e55be2b0d2bf95cd14c37d74ec92e462a}} to compute the objective function (REF ). When t...
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37993834f8c0cee88fa9c5060cb9cb34
Robots with different numbers of limbs have different advantages. Quadrupeds are known for their agility {{cite:87c4714c277cf28c24efe6bf8a04eee3ac7d6ef3}}, whereas hexapods and myriapods for their stability {{cite:b6a500b0e835286927345cbacbb4c34f121bb296}}, {{cite:0e0de8d1c4d5a1c3d79f7bddd2612590bfb36343}}, and limbles...
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5245ded283c55045f50b2cef6db85183
We test AVOD's performance on the proposal generation and object detection tasks on the three classes of the KITTI Object Detection Benchmark {{cite:9c991246041fd08a2d2ffad088f2a700e0dcae49}}. We follow {{cite:ed477753967ddeb63a508b67a23e58257a022e35}} to split the provided 7481 training frames into a training and a va...
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7cc62705e3536e21cd79cae6534aeffd
Many searches for new spin-dependent interactions have been motivated by the idea of axions  {{cite:8b74a4e481b00c727af9596c8064477824ffc2bb}}, {{cite:4f065bb78d0a98b67af3d6a720fedade9eec9c02}}, {{cite:9e3ebdcdf275062cefd5884387433c5ca7781555}}, {{cite:97a79b9fa24931cb7b24fd56b5fbd418a343b3a7}}, {{cite:7917c79bc9a42463...
i
e90216571a49cbfe251a21b5c105f1c8
Identifying the underlying structure of a data matrix and extracting meaningful information is a crucial problem in data analysis. Low-rank matrix approximation is one of the means to achieve this. CUR factorizations and interpolative decompositions (ID) are appealing techniques for low-rank matrix approximations, whic...
i
9a0603a8ad078e9eae35a091812dd5d5
Online cloud computing platforms have made large scale distributed computing accessible at affordable prices, leading to a surge in usage of distributed computing frameworks like Apache Spark {{cite:f643ccd4d56a76b54cb7eb6c047dcb106e0082c4}}, Hive {{cite:2fec87388ce0aab165b32a0247de84c0863f40dd}} and Presto {{cite:1301...
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c61e75236e7428d2f871b31856df6f2f
We consider a sketch to be a collection of strokes, wherein each stroke consists of 2-D continuous offsets and 3-D discrete pen-states. This representation is also known as the stroke-based format. The discrete outputs pose a difficulty for the gradient updates to be passed from discriminator to generator for the weigh...
i
9b5eca217e5778c7012a13257107f0eb
As a fundamental and efficient approach for solving (P), the classical augmented Lagrangian method (ALM), dating back to {{cite:ee2c26a3849157a8951c2f00cc2caf266ed6ffdb}}, {{cite:e1103ab22ddca8ebe6660c14479a00e3607c3f9d}}, reads as {{formula:8e54666e-75ae-4ed9-9e56-a53072b6b253}}
i
c7d47a25ebd550ae9936fc75002b46cc
The extracted values of {{formula:06216f39-0b0e-46c6-b44f-f51278c89da3}} from the {{formula:624e8205-f846-4661-8e93-d399f98e7207}} distributions as a function of {{formula:6434a85b-3761-4dfd-aab3-ac8990938673}} should have the least contribution from photon transverse momentum and interference effects. However, ther...
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1e424d84869a29c9a3a7d45e8b3557e4
A version of this result is shown in {{cite:1d97f253d8bd693c7ee0436dea4670a380efc8bc}} for surfaces over {{formula:9c3b5afa-7a11-4a71-b91d-45380a3b8bd0}} CKS(X){{formula:fc1f54bd-8e3a-41d4-9fd7-e08f5b7922d5}} H2nis(X, K2,X){{formula:d9ef0cf3-0502-4282-a488-8c4c36cfa4a9}} K*,X{{formula:ee142949-3941-4841-88f9-02fa2da8ce...
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c5dffe4081965c87d4b18bf780dc25fa
Numerical solution to the minimization problem (REF ) poses a challenging problem due to the presence of a highly nonlinear and non-differentiable term. To get around this difficulty, a large effort has been devoted to construct effective schemes for the minimization problem (REF ) and the PDE problems (REF ) in the pa...
i
8d50a21cdba268cb76d3f3be38f15d4a
The proof of Theorem REF is divided into three main steps contained respectively in sections , and . As a consequence of Theorem REF and the Urysohn property of {{formula:cdb9e659-831f-44fb-9b84-4964e0454413}} -convergence {{cite:2f2fc11dd7f989339382110df946525c9581ea55}} we deduce the following corollary.
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0f8d7501b50f42e3399a33301303cf2d
After the work of Nambu {{cite:8d7c29bde4be6702d439d81c687ffb98ae21a83a}}, there are more works done on the classical solutions of Weinberg-Salam theory. A well-known case is the sphaleron (sphaleron is static, particle-like, localized in space and unstable solution of the Weinberg-Salam field equations). Klinhamer and...
i
e03b8e2fbc91269e126ab065182dc077
As shown in Fig. REF , our approach achieves significantly better texture results even when the texture is extraordinarily complex like the floral dress and the geometry we estimated filled with elegant details instead of a sketchy and bloated object. Even applying per-vertex texture mapping in the geometry from Multi-...
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9b7246b8951386c798aa403e3420ac00
Deterministic Rule-Based Methods: The general principle for such methods is looking for keywords within a conversation that can be used to instruct an agent to provide predefined responses. For any such conversational agent, a 'script' can be defined from which response clauses must be generated according to expected ...
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cae13490185b756a9b3de357ad15ea3b
To prove part ii) we follow the same steps from part i). We obtain {{formula:fdec3afb-5d33-47b4-943c-9e20f1e5bb17}} , {{formula:6b2f50d4-33b4-42ce-a70b-3840c780b6bd}} by following the method in the proof of Theorem REF , and using Theorem 3 in {{cite:e65c2ad7cda00001b626e940b810b13f8a3d31df}}.
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682585fd770cb2f34584f86a3032e068
This has been proved for the ideal Bose gas ({{formula:aee42b45-c6ac-41b6-a336-a06c324ce25f}} ). The representation of the one-particle reduced density kernel in Theorem REF for {{formula:d984d842-fb5a-4204-8ba7-243198016e23}} allows to perform the thermodynamic limit (cf. {{cite:fcec3e9966bc2f3f561380d3b97b6b7be34a1...
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17f15849a6c7bb00f879516fca1a0e10
Like the original paper, “XEntropy” stands for cross-entropy using fixed word vector, and “Optimized” stands for optimized word vectors. “Average WordVec” means that we have taken the average of vectors representing words in the metadata and used that as the target. We also trained a variant of DenseCap {{cite:1efe5ccb...
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58156d913a749d2bc38758ed413e711d
Trying to find such relationships, one can observe that symmetry drivers allow to construct differential operators which map the characteristics of conservation laws into symmetries, and integrals (including formal ones) generate differential operators which, roughly speaking, perform transformations in the inverse dir...
i
f97caa3bb287b79aca08a4b390e4d941
Recently, Jimenez et al. {{cite:e90f7dc264078e543eae65b31bab48b9ab2ba6f0}} introduced a new class of modified gravity named symmetric teleparallel gravity or {{formula:97c777c5-2513-4c84-9bb6-36660969bd9c}} gravity, where {{formula:e150819e-407f-483d-88f8-083f649f1eff}} is the non-metricity scalar. In this theory, bo...
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022b5816c1f1cd120c906d7e12c3ccc9
We use model, ground-truth and loss function designs very similar to those proposed in CornerNet {{cite:5de99efafa63373bd8e8a4d18ed1ce203e283c1e}}. These components, and especially our modifications for TetraPackNet, targeting tetragon-based object detection, are explained in the following sections.
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32e1df1ebd7dbb760d3fc03f79ba33c7
This section evaluates our proposed fusion model on the individual test dataset for each weather. Similar to the state-of-art method {{cite:67c18270b2c70ea044ae095d59269247357251e5}}, we evaluated the proposed GLA framework over PassengerCar class because these are the most prevalent class in the DENSE dataset.
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071cb3574cf66ece70f24c002c7658cf
In this section, we describe the proposed approach to learn discriminative features for multi-label classification. The detailed architecture of the network is described in Figure REF . It is built upon ResNet-101 {{cite:7cd3f3766bc11ad0d6f2a975d3bb18f0e23352aa}} as a representation learning backbone. The proposed loss...
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befe5057db476b32f934eb91380e6952
where {{formula:8dbc6cc4-7918-4ff2-adc4-ca401be7dec2}} for {{formula:071b8197-93f7-45c7-b678-d7bb7c92ed5a}} and {{formula:5095b28f-8825-4a96-a5b5-ab4faf5d1782}} for {{formula:5f7fcd4d-debd-463d-890a-2fe15db52ee7}} . In the case of PBH baryogenesis {{formula:a320339c-cf6c-4094-880e-8e8837f200cc}} . Now using Eq.REF ,...
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27de73227946b3810729651a462d5599
Recent works on generative modeling for 3D objects or scenes {{cite:79cb65980d040ec8c34a0a2935a2dc79b63e7bd1}}, {{cite:d17805c97290983b9cfb4eb499a8bad13ff9abc9}}, {{cite:1f29d013867856baa6d858da80a2f880b27b2c60}} employ a Generative Adversarial Network (GAN) where the generator explicitly encodes radiance fields — a pa...
i
245846f269f7afbc134c283e62740480
A promising path that offers almost arbitrary flexibility is the use of optical dipole potentials (see {{cite:543782e28ab0fefef3a3d8a0cebec7e10b0c3e76}}) due to intense (laser) light. Spatial control of the incident laser beam for BECs using digital micro-mirror devices (DMDs) was shown in {{cite:37eb6aff0939ec1eae785d...
i
62949b722a7136b441661c086bc536ac
In practical applications, we should not only consider the effectiveness of LP, but also inference efficiency. Many LP applications generally require fast retrieval of the top scoring neighbors for low-latency services {{cite:29573da1fcbc38463dce8f5115dbf3d1b9b055f3}}, {{cite:7e0631c8d2ec5a126568fae804732ed6fc5ab9d8}},...
i
134289cdfa9dcf0818abfb7947926771
One disadvantage of any simulation-based design approach is that the objective function to optimise over is stochastic. Even though the classification approach reduces the stochastic noise compared to ABC, the optimisation algorithm needs to take the noise into account. Our focus in this paper is not on optimisation, s...
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bc7b4114e5365b436420e0ce6b8a9486
To validate the effectiveness of our proposed framework on representation learning, we visualize the generated speaker embedding with T-SNE {{cite:5d1d54d40289316e8758d1614ab17b7cd0ee41b6}} in Fig. REF . We observe that each speaker forms a well-differentiated cluster for each emotion. These results suggest that the pr...
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79804df70240f0c053c8c592fa46c9ee
Model selection procedures for LSB processes were discussed using NIC, an information criteria similar to AIC. While model selection for LS processes have typically been done through different information criteria, it would be an interesting problem to develop other types of model selection methods such as methods base...
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314292e2f6c075f840be2a4ed89f3ffe
{{cite:e95f717d3a801bed379b561bb70ecd9fb8a3ef27}} 2020 {{table:8ec01074-4aa9-4ff5-952f-3d1012b29326}}
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This paper focuses on these approaches by considering the popular StarCraft Multi-Agent Challenge (SMAC) {{cite:0cf04ec74eb3fb029da295f640f1c14abf5e23a0}} as a testbed. We do this by first adapting and then improving the DRL algorithms of the Deep Quality-Value (DQV) family of techniques {{cite:b2ffae152a98884ed7ed1515...
i
803cd249de8d5dc5d538626dda3a2832
This result aims towards a correspondence between orbits of linear forms in Hom{{formula:545b47e3-288f-4ff2-9446-f049537aae6e}} and primitive ideals in {{formula:03770808-e22f-40d4-881b-19f648435372}} , in line with the classical result of Dixmier {{cite:f2bd65a192cbfae7052f65a1eb614316af30db9f}}. In a subsequent pape...
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a24d9a0d43c89f3f1fec4b7909ebf32f
Photonic crystals (PhCs) are employed to control the light–matter interaction using the photonic bandgap (PBG) effect {{cite:4e4c98a1a3a9b9408b66353cbed424d1ceaf0be2}}, {{cite:f202e6ff9d7baf1820d8b2ab3b937e0786cf2244}}, {{cite:e7bba567a1d4094924527545ce6ab53340b4d803}}. In particular, two-dimensional (2D) PhC slab stru...
i
2eb2e613f1a65a7001d804c88deccc91
It is also noteworthy that the storage cost for Tucker decomposition in the proposed procedure grows exponentially with the order {{formula:79bd95f6-4ce1-4e49-9063-e63bc31e02a4}} . Thus, if the target tensor has a large order, it is more desirable to consider other low-rank approximation methods than Tucker, such as th...
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f015f352a71096e94bf6f85c6872661a
Nematic order has been widely observed in two-dimensional (2D) realizations of active matter {{cite:340b14d164338869917b34ca532b04561813404c}}, {{cite:0dfd223b9229aa486f20cdc9b2c87c784bc98fc1}}, from vertically vibrated rods {{cite:ae390caa49076b12e25df11049082a9a02c9ee4b}} to mixtures of cytoskeletal filaments and ass...
i
50fa6dd5eaa936daa4c368b6f2598616
To also put these results into context with QKD applications over short links, we estimated the back-to-back detection rate, the quantum bit error rate (QBER) and the asymptotic secure key rate for the entanglement based QKD-protocol BBM92 {{cite:895ee9122a26152f0088cf951ee1f2fb623dcafb}}, {{cite:b478680e541b6c588368cb...
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8d986256a1d734eb47a6eebcfe26d9e9
If the community structure is truly capturing the protein's topology, we expect this grouping to reveal aspects of protein function. We can test this claim using Gene Ontology (GO) term analysis {{cite:dd14825bb2db65f4a7010f6f9920da0d2da5fa70}}. This effort assigns functional relevance (e.g. lactase activity, oxidoredu...
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cb7adb77468fc5ee5d8e1e9994d16c53
MAEs (MaskFeat, VideoMAE, SpatioTemporalMAE, OmniMAE, and AdaMAE) generally outperform previous supervised representation learning approaches (such as TDN {{cite:e35b2ded82397fbc0fe9b5c3db6c0803544b2c77}}, TimeSformer {{cite:3bcac0015dcb887d6017524ce84ea133254190bb}}, Motionformer {{cite:4a0bc9ed28e1d89b926b458706e3acc...
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The motivation behind using MTL includes the implicit data augmentation, since a model that learns two tasks simultaneously is able to learn a more general representation. Also, if data is limited MTL can help the model focus its attention on those features that actually matter as other tasks will provide additional ev...
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1ea096617930ccf040efa5917627580b
a{{formula:32476c35-d720-4b0c-be99-fdfc9af69aca}} and {{formula:d82983ea-e000-4ca0-8f8c-04d7f052d4b3}} are beginning time and end time of the giant X-ray or optical bump, respectively. b The references of GRB prompt phase observations for our sample. c The references of GRB redshift for our sample. d The reference...
i
d972758c5583f88ce91f331e558f4736
Based on {{cite:e2fd3d0703231e72c5dbe4e7e33e8a3df2c8ba2e}}, the optimal solution should satisfy the following Karush-Kuhn-Tucker conditions of Problem (REF ):
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ba282faa217f243223b05ed131a8da43
which, using the value of {{formula:be7f7dc3-0942-44b8-adff-1043312a9e8c}} from studies of gravitational radiation from string loops {{cite:9c60b25b408638c2c1db89e8401a59784b79820a}}, is about {{formula:6d4cf865-f7ea-4f90-b7b7-bfc056dbfe14}} , assuming no Eddington accretion.
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ec4a7c345b4c38a5a6c67465a70d9f9d
The results presented highlight some ML success against baseline forecasts and also a number of unique avenues that could be explored moving forward to enhance and improve both ML-based guidance and the SPC human-based forecasts, as well as increase interpretability of the ML `black box'. While the feature assembly exp...
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e10893d4b90de056f0ac49a85f0847a1
Our predictive benchmarking method uses the performance results obtained by a SLAM algorithm in a number of environments to predict its performance in new ones. blackCompared to current SLAM evaluation techniques, which are used to perform ex-post benchmarking, our predictive benchmarking approach provides an estimate ...
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c7232679c78695bde3cf6ce1324984d8
Vanilla dense neural networks architectures suffer from overfitting on the balanced EMNIST dataset. To mitigate the problem, we tested a lot of regularized models using dropout and L1, L2 norms that clearly show a massive improvement in generalization strength of the models over time, if fine hyper-parameter tuning is ...
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8aad00299038c2c83f5b8b787ac500a5
OpenImages. This dataset {{cite:efa030d382efd50dafea1c414758683806a258aa}} is the latest endeavor in object detection and is much more challenging than its predecessors. Our classifier achieves 69.0% top-1 accuracy on the validation set of OpenImages V4 which is lower than other the three datasets. We achieve 58.9 UAP,...
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e51aaa7759f369e8195e6a61f2a539c7
We also compute VMM from the tree level diagram, the vertex correction and the four-fermion interactions respectively. The contribution from the tree level diagram agrees with the result obtained in ref. {{cite:0750ab1853ea5b1bc189c6145ae426009f71cca4}}. The other two contributions counteract each other and therefore t...
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5ff2f5480129c9bfbafd60acab486600
As seen in Table REF , DAT improves FID, KID, and IS consistently and significantly across many datasets with three popular models. This suggests our approach is versatile and can generalize across multiple data domains. In particular, the usage of DAT greatly improved the FID of SSGAN on STL-10 dataset. Due to the lar...
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db854025d3d3600a2e7a8449b53d4c19
In this paper, we discussed multi-soliton dynamics of anti-self-dual Yang-Mills equations by analyzing the action density in the asymptotic region. By considering a comoving frame with the {{formula:315b8016-1a75-4aa8-a6d3-d98a4d1d676e}} -th soliton, we proved that the entire multi-soliton distribution is asymptoticall...
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2404299dca2fc296b4aece9f432b7048
We empirically evaluate our proposed algorithm on six different continuous control tasks from the Open AI Gym continuous control tasks {{cite:42bccb2baa79eead11f53e2d0b32105e60d5ff71}}. We compare our method against well-known optimization-based reinforcement learning algorithms such as proximal policy optimization (PP...
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af4270108e5c338d03f7566f9b74d7c3
Our study is limited to extant words in English and randomly generated character {{formula:805f71ab-3977-405c-962e-aa9d7e82e068}} -grams using the English alphabet. Given the unique impact of a specific language and alphabet on representation spaces, there is motivation to see whether the relationships we identify gene...
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0afd56c5e1c43724216ac272b79a7474
Since the historical success of AlexNet {{cite:ffb9f982dd78f5c4035586bc2bb6f6d43249c3e0}}, convolutional neural networks (CNNs) have been applied for a variety of machine learning tasks {{cite:d713537b241582a42919589abd948abd72f71954}}. In the research field of geometric deep learning {{cite:b74f8ecefe42c2e0d0a3d783389...
i
2ef4b21bfb822bbad2b7aaa1242fb78d
The theory of iterated integrals was developed first by K.T. Chen in the 1960's {{cite:7d708cccca1a54b6521a8e3bfb0a5f1607ff1fff}}, {{cite:cb44e4a465848b852463345e109a8b93d36879c6}}. It has played important roles in the study of algebraic topology and algebraic geometry in the past half century. Its simplest form is {{f...
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44b6179a04edfc17a6bb879a241234b8
Our initialization method is designed to alleviate the problem of learning local minima solutions — an issue that the family of EM algorithms are well-known to suffer from (as well as slow convergence rates) {{cite:8e483ff8947b765e72b0860237991df94d355ce6}}, {{cite:a6bc2f17cce9e87a7e725327ec01012f83a780b4}}, {{cite:a60...
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43788eacd0b0a2591802b2e18f393115
In this section, original ViT is named ViT-Base {{cite:ce974ab518dc974e7c57240048544979fc6cc133}} with several changes, as shown in Table REF . {{table:d7f358be-3c21-47e4-baf7-d93886590f92}}
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In this Letter, to resolve the stalemate in this research field, we propose an alternative route for creating an effective {{formula:03bfc8aa-c769-4fc9-815d-6435279433ee}} -wave superconductor. We specifically consider a three-dimensional Josephson junction illustrated in Fig. REF , where a thin-film semiconductor is s...
i
b4f5c119decad5e90168bd32cb673626
Our results are mainly based on an adaptation and a combination of the techniques used in Holden et al and Chase's papers {{cite:78c622ced26a604e8f34c7cd167e5c10db97d383}}, {{cite:77bfd2ab07019a1c05b530d5d1c099ac6695e356}}. Here, we will give a brief overview of their methods and why it is not trivial to combine them.
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6c0e3424e422051fa386608f6184f33e
We compare post-training quantization using INT8 and FP8 quantization. To allow an apples-to-apples comparison, we do not use any methods to improve post-training quantization that have been developed in the past years (e.g. those mentioned in {{cite:76d331408d2df1dec0c1c72676154c36d9c20f23}}), other than the methods d...
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The first inequality is due to Rosser {{cite:639cfae210c44f2f5aeae0d988ab2b3c3d4e892a}}, whereas the second is due to Rosser and Schoenfeld {{cite:a0b79805ed3879470a385a3fa3d02d6e0f8bafae}}.
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The main limitations of our study are the requirement for hypergraphs to be produced by the generative model of Sec. , the use of the mean-field approximation, and the use of approximation (). [Here, we refer to the approximation that all nodes with the same hyperdegree are statistically equivalent as the mean-field ap...
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b33b6768526aa3aa8264458682599fe6
Our training set for the ChIMES force field was determined from DFT-MD simulations of amorphous TiO{{formula:7eb123e3-9084-4fcd-a955-e9f6d0859353}} run at temperatures of 2250 and 300 K using the VASP code {{cite:fa05b92be45b4af42f0c001a9bbbf8e4b9738eb7}}. For these calculations, we used the PBEsol functional{{cite:88...
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A common approach to discovering these seemingly disentangled representations are variational autoencoders (VAEs) {{cite:4c3dbff8b81b822cab52fc83b4a33e35d082a302}}, which are trained on unlabelled data to learn a lower-dimensional representation capable of reconstructing the given input. Unfortunately, it has been prov...
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2aa52a000e2c1392155e40de7c6fbe31
On preventing phase transitions, anomaly detection already offers one path forward. Once we can detect anomalies, we can potentially prevent them, by using the detector to purge the unwanted behavior (e.g. by including it in the training objective). Similar policy shaping has recently been used to make RL agents more e...
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c4acc129f850ab118e6509eb2222ae56
where {{formula:542352a7-5502-40c0-8cd9-bf8431f5577d}} and {{formula:ca40c861-2127-4ab0-8fce-d694f6de2694}} are the bag radius and quark energy, respectively. Recently, {{formula:23c67551-29d6-434d-a6f0-41d8d0017627}} has been updated by BESIII {{cite:d000ac1d1c874303a9029c76fdd057b760ac9fc3}}, {{cite:6dc7f40dcf7ecf...
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cd081e20bae12ab4f4fde887172ea27a
The Grad-Shafranov method allows to solve the boundary value problems (A),(D) and (G). The case (A) has been already considered in {{cite:a676fed81094cd2c004ab17c003bf2207ca76c1e}}, {{cite:6b71d6c96f37f292be76690fec6b2943e81bcbb0}}. In this paper we will discuss the application of the Grad-Shafranov approach in Section...
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Recently, {{cite:227b4210472462df533a4a1eee9f442e56c92ba3}} developed a mixed-integer-programming-based (MIP-based) approach that builds representative matched samples. MIP-based matching algorithms ({{cite:d5a14ad6bfce3b9e2fce0561e1043ea4b952ae4a}}, {{cite:c1816e9aedc37d4d798e48d439623c83ad5474c3}}, {{cite:227b4210472...
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Note that although the SDR of problem (REF ), i.e., problem (), is equivalent to problem ()-new defined in Appendix D, the reconstructed rank-one approach proposed in Appendix C is no longer satisfied for problem ()-new. In general, the SDR tightness for problem ()-new may not hold due to the limited degrees of freedom...
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The detailed quantitative analysis and comparison of algorithms within the locally-balanced class in the high-dimensional limit is made possible by the mathematical framework developed in Section 3 of {{cite:378140678e9dd1b01961d1854760825bb31062d6}}. This framework identifies and uses only essential Taylor series expa...
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To evaluate our method in simulation, we implement a suction gripper in the ManiSkill environment {{cite:72f6ae2b0f7c88fb5036a139bcf90b4737d038d3}}, which serves as a simulation interface for interacting with the PartNet-Mobility dataset {{cite:cbbea7f43258d7065e1ab82d2c67a23f2e290ed6}}. The PartNet-Mobility dataset co...
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In our future work, we will apply the photoionization computation to the current hydrodynamical results in order to obtain the local emissivities of O6 {{formula:acd27031-e192-4d8a-90eb-0bab115da184}} 1032 and {{formula:a0bf4830-e7a1-4a38-b025-2ac812ffc4fe}} 1038 and the distribution of neutral hydrogen. The emissiviti...
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{{formula:86a9d047-2ae6-4022-84a8-3d219bc3714c}} is triangulated by {{formula:c128a87c-0417-4825-9d8d-8962ecd62cd4}} that consists of simplices {{formula:3b2c164f-9eeb-434a-85e6-322218aee161}} with {{formula:37935db2-2b10-4a4c-85b8-a9c11ddddcc4}} its diameter and {{formula:730e9ce9-ca7c-4665-a88e-fceb134efabf}} . W...
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Our Architecture. We consider a 3-layer neural network {{formula:43a86815-3144-489d-9479-cd914512261a}} , where the input {{formula:8abc7ed3-eaf9-45d8-842d-174b997fe30e}} passes through a wide randomly initialized fully-connected non-trainable layer {{formula:54cce2e7-1275-4fff-9e5d-b706d92921dd}} followed by a ReLU ...
r
dd796446b0bf94e33d9272f24ee33140
Interestingly, in a recent paper {{cite:ae3eb05346074499dcf4427efefef0963aa4b4a0}} that explores the discriminative power of graph neural networks showed that GNNs are at most as powerful as the WL test in distinguishing graph structures. By choosing right aggregation function, they develop graph isomorphism network(GI...
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Since the proposal of the Weak Cosmic Censorship Conjecture, several counterexamples to this conjecture have been found, including collapse of dust {{cite:53d9f8973e2941d4f09d854379d5945f3fcc88ea}}, {{cite:a3b439faa5c03eee56c8b82cf1361adb2ec122f1}}, {{cite:83aed4ef4a000e8e3c62796e8aa9b24ea7d9dd53}}, perfect fluids {{ci...
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03c03089c3fce538ad6635c7eb9c8f4e
The use of semantic vector-space representations of classes, i.e., class embeddings, is prominent in zero-shot learning (ZSL). Most mainstream ZSL approaches learn to estimate the degree of relation between a given input (image) and a class embedding, so that previously unseen classes can be recognized purely based on ...
i
3116637e069f18a4af0fc379af411e00
We have made a comparative study of RHDE models in different dimensions. A few points are worth noting. The density parameter is plotted in figs. (REF ), fig. (REF ), and (REF ) for four, five and ten dimensions respectively taking three different delta values. It is seen that density parameter exhibits a sharp transit...
d
576c1882ec8b5c563bec21845bc87e5a
In our paper, we will build on a formalization of shacl {{cite:b9fa36ae661abfb88a870350f2d824119476eb80}}, which has revealed a striking similarity between shapes and concepts descriptions, as known from description logics {{cite:92a7e5b29c9f71f9c885ddaeca3583e98285eb40}}; we recently deepened this connection further {...
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bd4b332ec022b114c0204384970afd3b
We have performed all the calculations using Vienna {{formula:cc9e16c0-9bb7-4560-b04a-266a4f4dedd5}} Simulation Package (VASP){{cite:5f541a423227d3c65ef9c7dc0eee033cba2f09f6}} and projector augmented-wave (PAW){{cite:a07fc0390c65a16fefe627fa9b43f1e1bcdb4932}} pseudopotentials within the framework of DFT.{{cite:d4a350b...
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a859c5160db88779ea313f39f75caf7c
Despite substantial performance improvements introduced by DNNs, they still have significant shortcomings due to their opacity and specially their inability to represent confidence in their predictions. These downsides hinder the deployment of DL methods in safety-critical systems, where uncertainty estimates are highl...
i
2c4945c1b701553984ffde450726bc58
Recently, deep generative models such as StyleGAN {{cite:0344773e23c7bb2a1a705f2e045e2dc68cdc2b2c}}, {{cite:502d4faa5766542a4d228d53a063ca419d5d164c}} and diffusion models {{cite:13abbed6280b86443923604941700ae4e13a6b6e}}, {{cite:30a1144ea135e7e6271dee095a295e44759846a3}}, {{cite:2306016e8fedee5fbc5daf82e5d9d3da5e63d6f...
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354febfaa28e21c0953439daa059a150
where {{formula:f2617d8f-4d3a-4987-aba1-a2cfe8450fae}} , {{formula:2350a820-d359-4cf3-bb58-68a6e56f454b}} are positive constants and {{formula:0c50f63b-9876-4c13-b9bb-0b2277229fc5}} is a smooth strictly increasing function. This system has been introduced in {{cite:7e995126779f6d02285d9a7a9820438fbc2c737a}} to model ...
r
57b118429f552ba355e94727c1ccd69d
Traditionally, images from compressive cameras are recovered by solving a convex optimization problem, minimizing both a least-squares loss based on the physics of the imaging system and a hand-chosen prior term, which enforces sparsity in some domain, Fig. REF (a). For successful image recovery by compressive sensing,...
i
8277d5635c6d1f929710051c97f3309e
The compensation of costs and benefits is certainly a natural interaction strategy through which rational agents determine their connections {{cite:fa9d612f463923fc793752c12411237c772d90b7}}, {{cite:eaec82df880ebdcf7e05ea700042ed976376b22a}}, {{cite:9c48e25674dd36bec54934f28c7d8376fd581e1f}}, {{cite:52a947889b0a84fad58...
d
813424626312e506b901a98c6f972454
Our formulation of Theorem REF owes a lot to the pioneering works of {{cite:8f559882cb7d40d8c8ab39115b3a0fabf4af93ad}} and {{cite:4a6550294a6bc97fe67b25587261a4b667b638f3}} (PN). Our is merely a refinement of the results published by these authors together with a clarification of the underlying mathematics. The intere...
d
432340911e415184340cca52e793704e
For a thorough treatment of the algebra of quaternions {{formula:821d5145-b34c-4f38-8083-22672fca378c}} , the reader is referred, for instance, to {{cite:58c1ab856d1b7dfdd138896af4f8eac716d6b19a}}.
r
cfee8b25083cf8615b5fbb5518de1481
The KM3NeT/ARCA detector is currently under construction at the bottom of the Mediterrean sea near Portopalo di Capo Passero on Sicily, Italy {{cite:958968f039e5e7ea7a35514ecce38086c031aeb1}}. The detector consists of a 3-D grid of optical modules that each contain 31 photomultiplier tubes (PMTs). The timing resolution...
i
e532945d5ac4ff2779bfa95acc5827af
As the speech synthesizer, we used Tacotron 2 {{cite:5ba5204a4845204295ea495907205677f62a850e}}. Tacotron 2 is a combination of the Tacotron-style model{{cite:5d42af7b4d2094fd9652dfbd2706f012cc0e518e}} that generates mel-spectrograms from a sequence of characters and the modified WaveNet {{cite:79f016f43c03b11eabf6dae6...
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63ec25a9b7de674993e077c44016c58a
RMs of polarised background sources are often used for analysis of magnetic fields in nearby objects such as the Milky Way {{cite:884ad8aaa98c8811cd9eac420e2f983b05bcb5f5}}, {{cite:5b51773a6f0fc5d055f094924c333e29c8b41514}} or the Magellanic Clouds {{cite:0d06278eb97787a4f3cdde13e5aa6705385b8101}}, {{cite:f61b2ff86f3c8...
d
7792be5bed444b59a31d54c5371269bf
(iii) Also HL gravity treats space and time in a different way. For the case of isolated black holes, the metric is time independent and hence the spacetime is invariant under infinitesimal diffeomorphism transformations. As a result, according to the argument of {{cite:76150a8719e769085b4e452fec053bd385eb5c9e}}, the f...
d
ba050669be6f5525278077527ab42a2a
The experimental results of nuScenes are summarized in Table REF . Our SPCM-Net achieves a competitive result compared to other baselines in all metrics. One interesting observation is that both SPCM-Net and PointNet++ {{cite:c535f92ea22634f8b3576ba8b24706b06669af71}} + LSTM outperform PointRNN {{cite:1493008f04356cbb3...
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374f1604490e90d61177f1ffa0fc30e1
Nonetheless, it is worth recalling here the inherent limitations of standard DFT approaches in estimating accurate band gaps in semiconductors due to the ubiquitous electronic self-interaction errors and other fundamental problems {{cite:b419dd2c76b161c59fe7a095498cb69de0802be2}}. In particular, it is well known that c...
r
a6d71b8038af3712f5a3264da6d46c23
where {{formula:07c0d0b3-5c02-4f9c-90a8-4e06b485d0ce}} denotes concatenation. For instance, to approximate the RBF kernel, {{formula:bb61504c-95c2-46a1-94f1-36d6060cd97e}} , we would draw the {{formula:27dc5c0f-fdd5-4af3-9912-4f8cbbf98118}} -dimensional frequencies {{formula:103b7d75-d831-4b95-85db-8e41103e814b}} {{c...
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307617764ad63b617809f6d0bc7181a0
We have used the common normalization techniques used in NLP tasks such as batch normalization(BN){{cite:a537c710201768c2485fd566763bdb85f04f7dfc}}, layer normalization(LN){{cite:1d07fcf9157f85eefa1e1a08834bcc68e36c4a98}} and group normalization(GN){{cite:cd9773e03e0372907818fc427be6a047a3346b98}}. Such techniques do f...
m
9092bc822de066587a9d65d5a4d1d2a7
This work presents an extended contribution to RocketQA {{cite:57ba3c7cbc3645e2021902b1239583f713f34d2d}}, called RocketQAv2. As seen from above, RocketQAv2 reuse the network architecture and important training tricks in RocketQA. A significant improvement is that RocketQAv2 incorporates a joint training approach for b...
d
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For the three datasets we have in common with {{cite:111423a1b944a4b601d74901252cd5e5648eab66}} it is possible to draw performance comparisons with that work, though retaining our concerns about the use of AUROC for highly imbalanced data, which we found did not distinguish well between the methods. The two best-perfor...
r
6772f5f63a5c6f3ca2b2ac56c1a80b95
Image-text Datasets: We report the comparison results for both Pascal Sentence and Wikipedia dataset with prior approaches, in Tab. REF and Tab. REF respectively. We report the mAP score for prior methods as provided by the authors in {{cite:6c87890dcd7a2b343f6482ee393d2b279b648f41}}. Since there is no fixed split pr...
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41dce83a070d229b2bdbf597a2ebed3c
We observed that our basic prototype-based method, under the training-free setting, does not gain from more given examples. We hypothesize that this is because tokens belonging to the same entity type are not necessarily close to each other, and are often separated in the representation space. Though it is hard to find...
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5deab6eea346c8d3eec563424ebf3101