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In this paper, I investigate the effect of decoherence on the tripartite entanglement of Dirac field in accelerated frames by using a phase damping channel, a phase flip channel and a bit flip channel. The effect of amplitude damping channel and depolarizing channel on tripartite entanglement of Dirac field in a nonine...
i
41c7024bb74d99ea5e29483dbdb3a071
The Floquet-Magnus expansion is probably the most widely used perturbative method in the literature. This technique treats inverse of the drive frequency (in units of {{formula:bb0dc125-dd85-4975-86d4-c14b7e299a37}} , where {{formula:4ca98835-591c-4a00-91e0-05455f492130}} is a typical energy scale of the system) as th...
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b6ac3ba6a207e0183e0b0cb94051ae76
As a field of study, information security integrates techniques from a variety of disciplines: Malware detection is largely a function of information theory as developed by Shannon {{cite:60ff6a147e8a549c907baa58da69e55bfad44b6d}}; incident response borrows techniques from forensic sciences up to and including its need...
i
31ce9947e4a9f9e0b5454eb25e45e47f
Results on MORPH2. Here we provide additional results on MORPH2, despite the performance on it were long saturated. We use the same setting following {{cite:8206ccec8feacb278237822d940393faa1735376}}. The following baselines are tested: 1) DEX w/o IMDB-WIKI {{cite:8206ccec8feacb278237822d940393faa1735376}}: A VGG-16 Ne...
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d0dc47d7abfcad93ed0865346cfb844e
Bayesian non-parametric machinery is applied to federated deep learning by matching and combining neurons for model fusion. Yurochkin et al. yurochkin2019bayesian proposed probabilistic federated neural matching (PFNM) using a Beta Bernoulli Process to model the multi-layer perceptron (MLP) weight parameters. Observing...
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18b0e672f0669bada0a01a11c003708b
Figure REF shows the clustering accuracy for different variants of the Triplet Loss. First, we observe that Triplet Loss_2 (REF ) and Triplet Loss_3  (REF ) outperform (REF ) on multicut clustering (left). However, K-Means (right) performs better on all our experiments given the fact that {{formula:90ce38c2-1719-4110-...
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e134b1e4b683b325fe5abfdc4c9eac50
In this section, we compare VHBS with Ncut {{cite:dafc7242a84e05b638d96deeca99cd7643bfa49b}} and KMST {{cite:08016bcfd77dee6bc8151d16e9f918cdafb6d39c}}, {{cite:9b6f835320ab6672c8a42fd22d7936a62c6e196b}} over the entire test set of Berkeley Segmentation Dataset and Benchmark {{cite:79358fa890824939d578551cc391cdd3313b00...
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0030f66b94c09f90bd436368836baec6
We validate Algorithm 1 in CIFAR10 and CIFAR100 with ResNet ({{cite:b646c776c7f7b6ae82720c8ee563a6c14c53a82e}}). The results are shown in Table REF and Table REF . As the tables show, the GL penalty and the shrinkage operator can significantly improve the weight sparsity and the channel sparsity with minor reduction o...
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afa9b286cb9c910b417a7cc90820445c
In this work, we assume that the pentaquark states are generated by the {{formula:c0720c81-c161-47dd-8fab-3349ba1de338}} , {{formula:c8866b4b-8b22-4374-8b6b-21be26840730}} and {{formula:a32308fe-e0b3-4736-affc-9acd04cd327a}} coupled channels, and neglect the {{formula:10e43bdd-39c7-4e74-8ba1-88c0025efbd6}} contribut...
r
d717298a23d36e8308b4dcec88b485e8
which satisfies the Karush–Kuhn–Tucker (KKT) conditions {{cite:0a17acc629e335532b68f8665eb581b5ead5bcc9}}.
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120a106008a2417825423d0f8be556c5
Finally, let us briefly discuss the possible realization. This protocol mainly exploits the common linear optics, such as PBS, BS, BD, HWP. Meanwhile, this protocol require the multi-partite hyperentanglement. Such hyperentanglement was also realized in experiment {{cite:427b4ff7bb957f0092b6cd66b592341b871b33c7}}, whic...
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9df0c1c279a1f6f99f58d2c1c5e7afc0
Remark 3.12 The distance {{formula:6dadcf1d-c745-4ec4-acaf-5b15c2ece79a}} in Theorem REF is consistent with the result in {{cite:c0f12746b712cc1179f4908cc048222d4f852a00}}, where it is shown that the slow manifold {{formula:c30f6ec1-6ef5-46a7-aa98-8e63929efefe}} leaves a neighbourhood of a regular fold point at a Ha...
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c1f31b7529eb9c64abffceae973fc123
The inclusion of electroweak radiation in parton showers opens up a rich field of showering phenomena, in particular at energies well above the electroweak scale. Rather than considering specific sets of observables for specific processes, in this section we first consider radiation spectra of several particles at ener...
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8bc9ae7116b5bcbfca82a946480f1bf4
From our experiments and data collection, We have seen that Gatys et al.{{cite:98242ec94ba44a7593609c12bad8fd39bc2f2de8}} and Johnson et al.{{cite:3c7c2bea073fda2e8e6c1cbc80397d8bb21acf33}} both produce the best quality stylized images, but participants prefer Johnson et al.{{cite:3c7c2bea073fda2e8e6c1cbc80397d8bb21acf...
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078143a778a405fd5ca33498d4252378
Emerging non-volatile memory (NVM) technologies have been extensively studied, which is due to two reasons. First, there is a gap of orders of magnitude between access latencies of SSD (e.g., 0.1-1 ms) and DRAM (e.g., 10-100 ns). Thus, there has been continuous research on finding a new layer of memory hierarchy, e.g.,...
i
22a7601aabd8b2acd3c99d182dfc27a0
In the present estimations, there is only one model parameter {{formula:35a48c59-893d-4508-a6b1-7c161c951a0c}} introduced by the form factor. As indicated in Ref. {{cite:24ef7cf7207167989dba48ff9b1474c85e237691}} the cutoff {{formula:24d8b14d-78c4-4890-bec5-38ff3dcc49ab}} in the form factor should not be far away fro...
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cd8ef6cfd5dae4704536cdf45dd60a0c
In fact, the calculation of the effective action using a chiral rotation involving the corresponding Jacobian, which is related to the anomaly, is rather subtle—as clearly shown in Ref. {{cite:1c550e5fed5480c9741e2b78bef54d6fedfe0cbe}} for the case of a WSM. We find it illuminating to briefly describe the main steps of...
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5a7ef71b29bde6bcca432437e41a5132
All energies and matrix elements are calculated on coarse {{formula:53bfd882-9ac5-4b4a-9ac8-676c97e45d18}} and {{formula:604e48f5-9d52-4009-a69a-e1901a431faf}} meshes using the DFT software JDFTx,{{cite:e010e49893315da47825c0c716087512fd1882e0}} and are then interpolated to extremely fine meshes in a basis of maximal...
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f3dbe25b7c71326f1d661d7e13797f74
Inspired by Zhang et al. {{cite:824332804ea9e3446d319720406dae0c33acae7b}}, we propose FloodTransformer to solve segmentation for the flood data domain. It is a fusion architecture of Visual Transformer {{cite:29144ed73b05b782387962742d3a8bf09f772d85}} and Convolution Neural Networks (CNNs) and its model architecture i...
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d4f3ff003fd2efad70cd325a17c057b3
The quantification of fault slip is achieved using the Rate- and State-dependent Friction (RSF) model for friction evolution, which is considered the gold standard for modeling earthquake cycles on faults {{cite:6383044aa4e82a412ceb236cddff2ba94f0c5d6e}}, {{cite:02e68f9058805c56e8b82d43108b2b55ed020835}}, {{cite:e15229...
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3e5181aa0774ad47f1db5058f3991835
At large {{formula:2290db52-aa34-43e4-81ad-0503be175378}} , the generating function (REF ) localizes close to {{formula:04a8b120-d985-4722-8053-813812a7c808}} , and is therefore dominated by the bulk-channel OPE limit of the discontinuity. This fact puts on solid ground the result first obtained in section via the lig...
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547675e060121e9f5e818cd3187413fc
In practice, Bayesian uncertainty estimates often fail to capture the true data distribution due to intractability of Bayesian optimization {{cite:61f31fdebe4c37a60bbbd73ecd8dafa1dcfd9d90}}, {{cite:5f053a4b9cf5f27ef32b75b3c70a5e4a057e9bff}}. There exists a line of research exploring re-calibration of neural network mod...
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5a44e15c18a859d2cb26cdd95d293f41
Line-search methods are particularly appealing as they reduce the possibly high-dimensional optimization problem to a sequence of one-dimensional problems of finding good values for {{formula:dbae6e6b-4db8-4f14-a258-ab6b6aced95e}} . To ensure convergence, {{formula:5e81f8c2-b47a-40c8-97b5-d8c7fddc0713}} has to meet ce...
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5134210c729014c29a77a7f065d19e8d
One of the major results of the present paper is the analysis of vanishing separation between the particle and the oscillating plate. We showed that the standard lubrication theory developed for modeling near-contact particle-particle or particle-wall interactions in steady Stokes flows {{cite:5e9816b3abb53cc0878fd94c7...
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e1d32d22d06598ba2cbcc60e6adde9e5
For online learning problems with general convex losses, the optimal estimation rate depends on both the hypothesis space and loss function (e.g. whether it is Lipschitz or strongly convex). In this paper we did not establish theoretical guarantees for Sieve-SGD when applied to general convex loss, however, we gave som...
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ab8c5684d55f6d9977755df0038c5d3e
where {{formula:f4514947-990b-42e8-9ba7-c6071c0f3d67}} is the classic {{cite:dd877726d79b38406004c9623ecefad7f8ed35c1}} stress–energy tensor for electromagnetic field and where {{formula:2d4f540e-f94a-438b-9e51-51b195d011e4}} represents Minkowski metric tensor.
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bc3cba4e3da453a5bfe1f5e2cb3c51f1
Analogous to the electronic SSH model {{cite:107b5f92fa92bf7c8685698ad81d4c1b0d061819}}, as shown in Fig. REF (a), we construct a 1D FM SSH model including the intracellular and intercellular interactions, i.e. {{formula:17b6315f-edc6-4cf4-9530-dbcb88331026}} and {{formula:9626832b-c2c1-4658-bcc8-9c3e7fbd8395}} , whic...
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681fb328034b16f646fdd211e740c228
Although we considered networks with all-to-all connectivity within and between populations, the governing equations were derived in the continuum limit. Thus the dynamics of large but finite networks whose graphs have the same graphon (or graph limit) {{cite:8a9d99a2f008d2c32adc5185d993331674a1b628}} as the networks s...
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441cd19aa227ad1ae1c21be33efaf2a6
In our daily life, recommender systems {{cite:a89e430053bba3ec9954f2a53df295bf048968e0}} play a vital role to suggest right products, right social media, preferable news or travel places to the target users in different sectors. Using the knowledge of demographic information, past view history and previous purchasing h...
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2b7737ab113a3be8de85d745bd571764
In the present paper, the problem has been considered from this last viewpoint, assuming that the ultimate decay stages were amenable to the most abstract level of implementation in terms of probabilistic cellular automata {{cite:32376d83c1f4f43ea6bfeb9393ba90c60beb47cd}}, following {{cite:2c7d426152464f49bc920a942f056...
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885bec24710b218c318a19aa2a0bc42f
{{formula:725511e7-fe49-4117-918a-fd823f949393}}Normalization: We normalize the base dataset into a unit sphere using the following steps {{cite:6ae9bff07ab653609eb906e918d13c1f0d2902c0}}. First, we calculate the center by computing the mean of point clouds for each model. Then, we find the point which has the maximum ...
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461569e9e354d22f3b7219a6de6518d5
{{cite:086c37cb7238c89dfd3d3c364c8f4b975bb25eb5}} fit X-ray observations with a single temperature model for the CGM and found that a small selection of observed fields fit to higher CGM temperatures around 0.4 or 0.7 keV. That work included a component at kT = 0.1 keV with free normalization for local SWCX and LHB emi...
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c62094a87c76f0536035462dad833403
As described in Section , the response modes are of particular interest because they sustain themselves by self gravity and can affect or dress the response of our system at any imposed nearby real frequency. For stable systems, the frequency of these modes have a negative imaginary parts (damped). Most work on stellar...
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f6ef6a2c9a400ffaec4669eb9b4b9822
In the following parts of the paper, we will build on Theorem REF for decoupling Rademacher chaos. We observe that the book {{cite:dfef9e87606066371f178a16c5b0af60c5793276}} provides some bounds on Rademacher chaos but only for the special case of {{formula:256ef8f2-b084-4b4c-b9d1-8a1fce6454d3}} .
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01e12b9eef67ed6e1774348d215f50b8
Many classification approaches in machine learning explicitly or implicitly rely on some measure of distance {{cite:46d329327960bde9d60129d6ccd0bf20b68093f4}}, {{cite:e2d2a8fe08ed395a80153baab089e3fe167f7fe7}}, {{cite:e08959b38c09d87d1bb971eebb233d19e6f989d3}}. This is particularly apparent in case of the {{formula:3cc...
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4d270af5a92367787888c6f1cec005b4
Ablation study: We compare the performance of our approach using the benchmarked base CNN architectures such as ResNet-50 {{cite:4d652c687247cf16a22de6299f8b252ad038ec26}}, Inception-V3 {{cite:0ed027114b3332a81d77601bb66cf6441a727a0d}}, Xception {{cite:bb878f7b899295b75670f5097a6b5d6b0e85e037}} and DenseNet121 {{cite:d...
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f7c1f81bf82df9aed7c626095ca98d64
where {{formula:0efe4df3-c7fe-4bd8-a1d5-74a26845bef6}} is the set of rotation, reflection, translation, and uniform scaling maps and their compositions {{cite:be0cc960ea9d276c53901c6bb697823560865d9c}}.
i
4201d634f1ac615b0ca9468fe7397618
Non-Volatile Memory (NVM) technologies such as Filamentary Oxide-based Resistive RAM (RRAM), Phase-Change Memory (PCM), and Spin-based Magnetic RAM (MRAM) enable low-voltage multilevel operations, making them suitable for implementing analog synaptic weight storage in neuromorphic systems {{cite:470c80d0206fffad0b68d57...
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664ff5a48f76e62ed4a9c2bdd7be2140
The study of quantum thermodynamic machines assists us to interpret the behavior of the thermodynamic quantities in the quantum realm like work, efficiency, heat due to the non-classical features that occur in the quantum regime such as entanglement, quantum superposition, squeezing {{cite:b3549bcca3f614d8fe05083a4e2c1...
i
afd4dea0671876bd1e16faf8abfe1bea
We demonstrate the effectiveness of our proposed method on two benchmark datasets (CIFAR-10 and ImageNet) for the image classification task. Unlike previous NAS works {{cite:5ea6db0b1335645c37aa40151358779610df673a}}, {{cite:5996e918b6c4d9db2df621c1d3927e0636e932c8}} that first learn CNN blocks on CIFAR-10 under small-...
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6e83d71965fdf5baa4297d04481e5916
By Proposition REF , it suffices to consider the {{formula:e5b4bc96-bc92-4ec9-8d55-5088128d4b7b}} distribution. Let {{formula:9f2937d8-205d-4c3e-9c9f-6dd94f61400a}} be its density function, i.e., {{formula:622117ef-703c-42cb-9f85-e7dccf3ae1d7}} as in (REF ). Fix {{formula:49da6c01-d249-4e17-83e3-f151be03c627}} . To ...
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4e61e2521a99c534183512f486a55b04
A key feature of the mutual invasibility criterion is that coexistence is determined by the signs of invasion growth rates. For many classes of multispecies models, positive invasion growth rates of at least one missing species from each subcommunity is a necessary condition for permanence to persist under small struct...
i
d91fa279e735d0b04608cea80a004fb7
In our previous work, we have showed that ResUNet++ outperforms the SOTA UNet {{cite:bc6ae5747ab9bcb8247ed445e488cae0ac167687}} and ResUNet {{cite:84204fbe3bb617e03386072b93e77312fa80135a}} models trained on Kvasir-SEG and CVC-ClinicDB dataset{{cite:ba6765f6ec181067da79f60c43b4e6f324c9c6bb}}. In this work, we aim to im...
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e3df6d49624c3c927902c42357724371
The advantage of all these representations lies in the fact that multiple Feynman parameter integrals are reduced to much lower dimensional infinite sum representations, which are one–fold in the case of generalized hypergeometric functions, two–fold e.g. for Appell and Horn functions {{cite:a172f8bd50be6ab893548b79097...
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d772a115f2e5a1fa464ca357d4a1d2ec
In existing literature, discussion on the choice of good landmark points that work for indefinite kernels has been scarce. In {{cite:ab59a1f80b2edc8af8df167f51eddc487d97a7e2}}, {{cite:bf2880820b4b40b3a872eb2ac52eeecbf59c9cb7}}, uniform sampling {{cite:a3ac8532f1b355c1fd0a3e2e778cccb6167bdab4}} is used to select landmar...
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fe2318e33b2363042d183c19d303be85
Existing literature has been focusing on extending network capacity to achieve state-of-the-art (SOTA) transcription accuracy. This includes fully convolutional neural networks {{cite:11cb3e59c2d910926663ce3f491b4dc405b01af8}}, hybrid convolutional and recurrent neural networks {{cite:63a93cb530b57f793376bbae142921cf5e...
i
8e4fba5839b0044611f9965960f7c132
A RFS is a random variable whose possible outcomes are sets with a finite number of unique elements. That means both the number of elements in the set and the elements themselves are random. Therefore, unlike random vectors, where both the number and the order of the elements are pre-fixed, RFS are invariant to the ord...
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f77da90ead96427fbe9acf9e4a6b2158
We have treated the problem of table structure extraction as an object detection problem by employing the well-known Mask R-CNN model. We have implemented a novel anchor optimization technique in a region-based convolutional neural network that produces faster network convergence. We have introduced a simple and eff...
i
0fdd044795fb11e901055d0557bf0846
NSLSs are still slower than iterative methods, but they enjoy a better utilization of GPU resources and a higher degree of parallelization, as can be seen from the comparison with the pure PyTorch implementation of conjugate gradient. Moreover, the implementation of NSLS in deep learning frameworks like PyTorch {{cite:...
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87f18169bd1207748f8df64a37f51f70
{{formula:830142d2-54e2-4eed-a1d1-7a360484f498}} for metric spaces with doubling dimension {{formula:da5b341a-3a63-4a79-b5ab-060a85f8b65a}} . This improves over the {{formula:bbf08c94-ce28-4626-afe5-86c5bc1adfae}} from {{cite:263e18c86833d703ab4216a79c01206f5c81e18f}}. See cor:coreset-doubling. Since general discre...
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b65a81b508ea23f71b453762603f91d1
paragraph4 .5em plus1ex minus.2ex-.5emDomain Shift. Sec. REF briefly discusses the role of population statistics in domain shift. The idea of recomputing population statistics on target domain is first proposed as “Adaptive BatchNorm” {{cite:39bc2cdede5ae9f1a056f534b3a7c1710991e0e8}}. This is followed by other works t...
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89fd8501f741b364f566f9e3e7000f3c
Furthermore, there are approaches to use the closure principle to control other error rates than FWER, such as false discovery proportion tail probabilities {{cite:6c7b4a4172a6d9a155dbe61f30abb8db35becf22}}. There also exist connections between FDR and closed testing. In {{cite:b85732ea909fe379be354c1b7e2c4f0904e98b5b}...
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a0bb153cd0f711a3688ba01131f3a73e
However, when using MC simulation, in some cases, it requires to consume extensive computing resource to generate converged set of equilibrium data. For examples, near the phase transition where critical slowing down occurs and thermal fluctuation diverges, or when we do quantum MC simulation, a longer time is also req...
i
6cc363c72f21c8d567c7c41c3328ec8c
Recent advances in machine learning, such as self-supervised learning approaches, have provided powerful techniques to extract semantic information from complex datasets {{cite:ed90c9e6691922abe340e8301aba87ed5bef13a8}}. Here, we mainly took inspiration from self-supervised generative models combining autoencoder and a...
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38c1ffcd1dcb8839d67ee424b54cdc45
All of the Tait conjectures hold. In {{cite:34ef81863f08a10678bb956ca3c784349a748776}}, W. Menasco and M. B. Thistlethwaite prove the third Tait conjecture, called the Tait flyping conjecture. The second Tait conjecture follows from the third one. The first Tait conjecture was proved by L. Kauffman, M. B. Thistlethwait...
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e29125f5e3aab766d2e1836af3865e6f
To cope with this, one can leverage the social information of users {{cite:e6e9618aaab676d9b8c24b5f7f67f647dbd39653}}, {{cite:8fec2943b235c6f89eae935c3477ea8d5c1b919c}}, {{cite:cfe9797e276f63850f5b5476354a5c3b9c5e595a}}, {{cite:c5c19c107a65a09596c2c1ddc20bf9b6ee7127fe}}. In this way, we assume that users with social li...
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Small systems coupled with heat baths evolve under stochastic dynamics. Their probabilistic description at all time can be understood using the master equation or the Fokker-Planck equation {{cite:abc1a5c00acb1e2b8249e5798f636574502d84b0}}. In this kind of systems, an increasing interest has been devoted in studying th...
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9624ade108a0a3887d54e1f005161d89
The subjective nature of the perceptual aspects evaluated must be taken into account for the evaluation and the mean opinion scores are indicative of preferences rather than absolute measures of quantity. It can be observed that the perceived adherence to melody for the prototypical a cappella voice synthesized by the ...
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8d49f1ef570fe43ce7464396a9b1a08b
Once CO is released, we find that its dynamics is different from that modelled in extrasolar systems so far (see Appendix ), i.e., the gas does not evolve viscously inwards as expected in massive disks {{cite:fc60aec3b488955633775ea99d50773255ecb828}}. It is due to two reasons. First the gas quantity we find in the KB ...
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6761fd89c0e76fad828df910b28535f2
Despite the dominance of FM double-exchange interaction, intra-chain AFM coupling is established along the {{formula:708c86ce-2d94-4bfe-8306-b994c13d6a2f}} axis double rutile chains. It has been suggested that the AFM coupling is due to a weak super-exchange coupling through the bond {{formula:cb0b7732-3efc-4ece-960f-5...
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The model architecture we study is an LSTM-based multi-task model for IC and NER tasks, where we use 300-dimension fastText word embeddings {{cite:b0f70c4792d483a662ad260d63c46bc281aff4ae}}, trained on a large voice assistant corpus.The text corpus contains data transcribed by an automatic speech recognition system. A ...
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566959ae1238b296e66f42a3c1306776
In this section, we introduce our scheme of Floquet engineering to control the phase transitions in non-Hermitian quasicrystals, which is based on the idea of realizing dynamical localization in Bose-Einstein condensates {{cite:f3880f5520ce1a9c4cfe12a50e5433837fde9b0f}}. A schematic illustration of our system and appro...
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Using the above as input, the two-photon annihilate corrections can be calculated directly. We use the package FeynCalc {{cite:5e801ce0101b0a2442194eb0e0a9eed8251931ef}} and LoopTools {{cite:144bc55988e82009bbdfb66a2a1c1121c4fb06ee}} to carry out the calculation. The IR divergence in the {{formula:e5aac4cc-1f4e-4915-9d...
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fe1cca22cb8ec14a9bed91d4af16820b
In this work, we modify SimCLR {{cite:9c7c773109d20b5035f0f7df902e32dd2a780733}}, a state-of-the-art contrastive representation learning method, by explicitly adding information compression using the Conditional Entropy Bottleneck (CEB) {{cite:fee985c7ba4cdb951c5694d1d1973a8464e3cece}}. Furthermore, we show how BYOL {{...
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b589faf5a5fa2c16283bf90974c6832b
As an extension of the MTP, Souza, Wilkens, and Martin {{cite:1e238bea5736555adf32f55f0a0100a77bf7efc7}} introduced the so called gauge invariant cumulants, which are essential in the study of polarization {{cite:34be652b2810fe0909e75d2a3579f506d3369a05}}, {{cite:15f95f280a57d71321e71164e3e64a83fa239455}}, {{cite:697fa...
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0e0bdbda1188fd857373feadd33ce5ea
In this section, we compare CIRCLE with 12 multi-view representation learning or clustering baselines, including Deep Canonical Correlation Analysis (DCCA) {{cite:fa763e3aee19993279df3eed2641f92886e141d0}}, Deep Canonical Correlation Analysis Autoencoder (DCCAE) {{cite:a01a1758d294b8896d7067e437a23c952b5311cb}}, Multiv...
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In the near Maxwellian framework, global existence and large-time behavior of solutions to the spatially inhomogeneous equations is proved in {{cite:e347129ba2db78931d64dd7995a932a65c815a1b}}, {{cite:bb79188f18eec2da011cabb498eee6c8c4bb22c2}}, {{cite:99e8e94c56a07481c470b9c6e5db547bfb27aa21}}, {{cite:826cfe3536ee4b9f44...
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The approach of modelling a sentence pair based on neural networks usually consist of two steps. First, a sentence encoder transforms each sentence into a vector representation. Second, a classifier receives two sentence representations as features to make the classification. The sentence encoder can be regarded as a s...
i
b6f2813315f00925fc65ac47f4e6d24d
The results in Table REF demonstrate how model complexity may be offloaded from the internal model structure to the input features. In black box models, the relationships between inputs are generally represented by complex data structures (tree ensembles in random forests, hidden layer node interconnections in neural ...
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4124fc156eeb922d94d4d1d0d0a505ae
We follow the classical routine {{cite:788094017ddba9ca130caf1d21c6dcd41e26e72c}} to define the generalization error of QGLMs as follows. When either the kernel or the target distribution {{formula:6c1dfd31-154b-4298-9d21-faf00a84fc4b}} is classical, the generalization error of QGLMs yields {{formula:635e0f77-7f53-4e9...
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c7ecec048f648dc891bbd58bf62b12bd
Comparison with Image-Based Methods. In Table REF , we compare our FastMETRO with the image-based methods for 3D human mesh reconstruction on 3DPW {{cite:fa2a86215ad15975d777cb85c7b313548aa38de8}} and Human3.6M {{cite:3c2bca5dfb4dbdae667924277691f89e7016b403}}. Note that existing methods are implemented with ResNet-50 ...
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b3263cfea885a022c540f0e1a85dadc9
As discussed earlier, the theory developed to describe such effects is quite general, as it is applicable to any Kerr nonlinear oscillator coupled to one or more continuua with frequency-dependent couplings. The consideration of Kerr nonlinearity is not so restrictive: many systems in nature with self-interactions are ...
d
a18880359919dc70fe9d2e315df0fcc3
We first solve the model by performing calculations in an armchair-edged sample with the width {{formula:027d0563-f063-437b-b74f-fe960141e3b9}} . Two terminals L and R are assumed to be semi-infinite. A relatively-short scattering region with the length {{formula:11f9b818-0447-4d11-af2d-d8de0164d6e0}} is fixed, and th...
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As shown in Table REF , we compare all methods appeared in the main paper, including WAGE {{cite:ad38b89c958c5f63949fff71824305fb0b6e4654}}, LQ-Net {{cite:577e5fa933edfc4e211572454e40fbcf65f5d7fe}}, PACT{{cite:0614a961ad197bb3e852f4cfdb023b547b4ca302}}, RQ {{cite:677307753707d5c46b8473f750656283dde3df5e}}, UNIQ {{cite:...
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fbec1d3f1c9558d75ea6b17ec7ff6e86
In the next section we first review the construction of the operators {{formula:b996ca37-73ec-4246-be43-fb4a0455d48c}} {{cite:6c0f461a9cb1f18ef83d50f88de1c8573cf09438}}. In Section III we turn to the example of the Ising model, focusing on the massless critical case. The massive non-critical case with only {{formula:1...
i
9f5796229f473acedc4b79a9733a089e
Significant research efforts have been made on interpretation techniques that explain deep neural network models on image data. While existing techniques are commonly partitioned into instance-level and model-level methods, considerable attention has been paid to instance-level explanations that explain the prediction ...
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b60828415860e7b18aabdde73500ec5e
The most natural direction for future research is to generalize to the non-realizable setting, where there is no perfect classifier from the hypothesis class. Here we may need to relax our requirement of computational efficiency, as the problem of learning a linear classifier in the non-realizable setting (also called ...
d
baa9c8fd46c34dc3168896777815aba2
Another source of uncertainty is introduced by parametrizing each momentum distribution by two variables, {{formula:1cb1ca81-d226-41f6-be85-e7fd3c7e0686}} and {{formula:db9ecc88-b0f7-4b0e-9117-bcd4f6dc01e3}} , only. This is of course perfectly justified for the electron sector. For the neutrino sector, the non-thermal...
d
83141a1d20b12a1064e7cdeeb14f07c9
As already mentioned, the computation of the stochastic reduced-order model (REF ) is costly. The cost of the reduced-order model in the moment-mean has complexity identical to classical deterministic model reduction methods and various state-of-the-art algorithms could be used to decrease the cost further. In fact, no...
d
ea0e661a27d5d535d6797044a09a901d
By Noether's Normalization Lemma (see {{cite:acdf0acb1960a38d12e25512c4880acc4a6d3aed}}, §13, Theorem {{formula:1cc669b3-bed0-41a8-9dae-f56666e4cb45}} ), {{formula:e28d2ff2-86be-49ca-989a-1e535c7dd6dd}} is isomorphic as a {{formula:ff372e62-0e5e-4803-8639-6a981a0ef5ad}} -algebra to {{formula:aae0a42f-26d2-4c05-a023-6b...
r
3233e0c1bd72aad9b2af05e326309dad
In terms of analyzing biological data, our results demonstrate that we should not conclude any degree of functional modularity simply by observing a moderate degree of structural modularity. This potentially poses problems for approaches such as connectomics {{cite:74c458899e064034f722da119217b63cbcfcaa42}}, which assu...
d
847ae7ad2b72c7cabf0ccd0a3bc7db66
Both player 2's objective in (REF ) and (REF ) are equivalent because the operation performed is monotone, and (REF ) remains convex in {{formula:fccbc7be-92a2-478c-a61b-da21fd1b4167}} {{cite:18774e28901377ef432bcddc431669f86f50f346}}. Even though we enforced that {{formula:452946e5-6343-4936-a70a-5ef38de2b870}} in t...
m
e9071cdbc1c06c92768d0f61290e62cc
The main difference between the semi-classical and autonomous master equations (Eqs. (REF ) and (REF )) concerns the emergence of a transient character in the semi-classical framework. This is manifested by an explicit time-dependence in the kinetic and eigenoperators. The different temporal behaviour replaces the fixe...
d
0331b32560d77cb3962ea00d6ba08b88
The results above confirm, that we have experimentally verified the canonical commutation relation by weak measurement of the path-qubit observable in a neutron interferometer. Accordingly, from the quantum foundational perspective, our experiment thus provides a genuine direct test of one of the fundamental tenets of ...
d
efb162ea8a8baea2c2df1636cd770454
Although the study on the dynamics in the presence of an electromagnetic field is an old issue but due to the following facts it may be still an important issue in the recent technology. The investigation on the ion conducting electrolytic materials is a key area in physics and chemistry {{cite:e18e8ea96c43ba4dfa5d3eda...
i
d0ebf326d9ade6a75d8fa4aef7710312
Before concluding this paper, we would like to emphasize the following points: First, the technique of simulating isothermal processes with adiabatic processes and isochoric processes are important to our proof, which enables us to establish the connection between large time limit and large N limit. Second, the calcula...
d
d96e44a46b1429f308d3d8d9a4247389
Recalling Theorem 8.2.1 in {{cite:065cdc1ae74d9a619240b9bf4f5a41575dcfa42b}}, and Theorem 1 in {{cite:cdd87764d3b46fb650f92245eeff42ad8a330f18}}, we have that
r
a21061e836b966f5a442f6bcb02079f5
In this section, we report the results of our proposed active learning methods, NDS and NDS+, in comparison to random selection, minimum margin {{cite:9edb7fd1a93dd04c0e50f564d10a84ea9222f7be}}, and Bayesian AL with variation ratio acquisition function {{cite:0b891a262844323c95866385d0b5c3bff5a8a921}}.
r
289fa400e134479030f89d93eb619517
We report the results of our model and compare these results with the results obtained using the approaches described in {{cite:b6a1a5324e584a589cc1faa690ecb6f91ec5f8ac}}, {{cite:cc6d3249f530e0b16bf725dc90752cd026ecb428}}. We show that when the input is a very low resolution image, where most of the information is miss...
r
7db9ea496d84d3ba9a901450c81298ee
The next lemma is the analogue of Lemma 5.7.22 of {{cite:b27d91d5b59172726f0365ee10b0cb5f597c5017}}.
r
b83c9c6f71e272eeba89bd4553cc8f7a
Since introduced in {{cite:817e899c9e1cc74487ac43b710a0ae73da0f9787}}, {{cite:d5717034075ce554fd219bd82e385f65d29b126b}}, {{cite:0845e163d085172b455b40c2cbe4c31e1b494018}}, the idea of plug-and-play has received great attention for its flexibility and effectiveness to solve a wide range of inverse imaging problems. In ...
m
39218b3fcebda27839e46b862dc6519f
where {{formula:33ac5e6b-1b7c-490a-aa9f-89bccbc19793}} is the Hadamard product as described in {{cite:824332804ea9e3446d319720406dae0c33acae7b}}.
m
13dfbbc2336bebe4bb66b90ef720ccc8
In contrast to some other studies (e.g., {{cite:a854fbf0da8bc8ffb20de156e83619ea2dcc90cc}}, {{cite:64bf78600ccbae57ae241a840f83ad9ce2b9c976}}), we do not find any evidence for a concentration of satellites near the pericentres of their orbits, nor for a strong tangential anisotropy of their velocities. We stress that t...
d
222685cdd2c3ce6f11e730ef0d0c3f6a
In this regard, we observe that without modifying {{formula:eabdc408-956e-4043-8be2-473897a43152}} , which is in agreement with realistic performances in such fibre-coupled ridge waveguides, our results could be straightforwardly enhanced by simply replacing our balanced photodetection with one with higher efficiency. ...
r
806aea4b7981e89a7e262be9036f1f62
The NA64 experiment in the "visible mode" configuration, i.e. configured for searches for dark matter particles, such as dark photons A' or {{formula:6c4127ea-c1b0-4163-b16d-e306d2abc8c5}} particles, decaying visibly, into {{formula:177eeeed-bbeb-43ad-b64e-ef0ac0ad4493}} pairs, is described in Refs. {{cite:5b8800950b...
m
d7f868d1d76d0bcb08f466e03c355cd2
Comparisons with supervised pre-training. In the original ViT paper {{cite:aa9a21fdd6868296cede97d8e26669e20b47502b}}, ViT-L degrades when trained in IN1K. Our implementation of supervised training (see REF ) works better, but accuracy saturates. See Figure REF .
r
c83f0ec2cce7bf7d87a7834d9a711f20
We also find the ranges of the individual parameters allowed at different confidence levels from the analysis of the observational data. To obtain this, we find the variation of {{formula:6a4d9f59-6854-49bb-acc3-2b884ee5f32f}} with each of the parameters of the set {{{formula:42d94a3c-91dd-4cfb-ad1c-ec93f5e441e5}} , {...
r
ce0e78c164ae1a130e3cdbc540053316
Generative Adversarial Networks GANs {{cite:a4e973807b6817f296507047bb31b9d5fc0cbc7d}} have shown to be extremely powerful at generating images and sequences {{cite:41e8434747b6174397a1012e7ba60aed7f297bf1}}, {{cite:5c75ee544edd48450c5e00cd6f2822f66107494b}}, {{cite:6a37dc6d98fb6d21e50437f786f6f7386c090a19}}, {{cite:af...
d
9268b31ea50ce93b452ed21aea24f454
Groups of isometries of finite dimensional hyperbolic spaces have been studied by a number of mathematicians. To name a few Anderson {{cite:94270a1c3e807e1f4cc603819444d397dd5faff7}}, Chen and Greenberg {{cite:cc6c66c43b98e060f0d94ab339856dcb1ad6be31}}, Parker {{cite:f7efc845f9b285a3d97bd8dd72088199af762d95}}. Hyperbol...
i
14174da503a0cff2cc8ae98cd980b5f1
To (ii) integrate the estimated confidence into self-training, inspired by the single-teacher-single-student update {{cite:762c388cc85babd1e482a4b58d7af0afc29136c0}}, {{cite:8e8f9afe9b61130f0258f41760a3c6fdbc7d1c53}}, we develop mutual training with self-training based on consistency training for a training network (st...
i
39cd2cf3604c45994f1572592f91904e