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In this paper, we formulate a multi-round extension of the PM framework in which each party can perform operations over an ordered sequence of quantum nodes, assuming standard causality locally but not globally. The formalism is analogous to the PM formalism, except that the local operations are now generalised to quan...
i
389a5fc1b0998699dcbd46a382b7be87
In this paper, we address this issue by considering the thrust event shape for which we are able to obtain precise theoretical predictions from analytic higher-order resummed calculations, which can be used as a benchmark for parton-shower predictions. An extensive survey of parton-shower predictions as carried out in ...
i
1a672d23dc0ef62f0c3f2ee20c393503
(where {{formula:58a0b573-acb2-4e2a-b7ee-eaeaf5dac1c2}} , {{formula:1062c350-0228-4f49-967d-a2cfba550c41}} , {{formula:e373d2db-43fc-4306-95e1-b41123aa8f0d}} , {{formula:aecdd85c-51ce-4cc2-a77d-43426c376140}} are cosmological parameters whose values are adopted from the latest Planck results {{cite:cce90baf45d5975011e...
m
ea3d58fe5f3b8fd73e8442eb1ee94ddf
Varying the number of classes helps. It is striking how much more accurately the ImageNet-X family is able to represent the diversity in APRs present in our dataset collection, compared to just ImageNet by itself. In cases where it is not possible to test an architecture on a variety of different datasets, it is thus a...
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9381dcbfe82b5ec9dfefa23849b0ab4e
The model assumed in Figure REF is the established PBC benchmark {{formula:e27d2e8b-c51b-40a8-83be-b12a23fb8047}}  {{cite:e7052597cd84c396b640adfdab3009822dc1e904}} that we repeat here below for convenience.
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61a5e118e78455d8aae22bf3f2f13988
LSTM: Previous work by {{cite:71ee0e6e5661c2820d4deb3871bcc523486d4de9}} used textual features to estimate the presence of a complete set of objects in a text segment. We adopt their architecture, representing documents using 100 dimensional GloVe embeddings {{cite:ed72850883dc51f3c6b58d9c3bd441ab82ce7abc}}, and proce...
m
072e18bf4f2aa803fc56615cbfb24462
The governing equations (REF ), (REF ) and (REF ) are solved numerically using a pseudo-spectral method that transforms the field variables into wave space. Specifically, Fourier series are used to discrete the variables in the homogeneous directions (streamwise {{formula:ae80bf57-eb3d-4452-b391-d3894b4dc54b}} and spa...
m
a96cec6713c737e7e162ba63dd13fa3b
The theory of dynamical systems emerged from the need to predict the asymptotic behavior of solutions of differential equations. The field of topological dynamics (and the Conley theory {{cite:42f339a65797fbacc68d3303057b9ae291621f5f}} in particular) has developed tools for analyzing the structure of invariant sets, or...
i
0fa5c604f71733edb376ea5f5007054a
While we have demonstrated the principle of a tunable quantum-enhanced sensor, it is worth comparing its performance with existing matter wave gyroscopes to see if any advantage can be gained. Free-falling atom interferometers represent the state of the art in atomic inertial sensors and, in such a device, a sensitivit...
d
8ae4ce7731bcfc61f380b3d09cf79e3c
Additional constructs have been proposed that may address some of these concerns or advance the state of fair ranking in other ways. {{cite:dc7670b7a95826c596882515cec7be4f891ee511}} present a pairwise definition of rank fairness that may be easier to apply with missing relevance and/or group membership data. It requir...
d
e63abcaf80bee60cf5d37f84ebd411d0
The displacement of the object can be calculated by Eq.(REF ), and then the displacement of the current frame can be determined. At the same time, four binary Fourier basis patterns, one Hadamard basis pattern, and the corresponding five single-pixel detection values are obtained for each frame which could be used for ...
m
3f8838fe4c914c9740e0af96636fb0f9
From Kepler equation, one can get (one can see {{cite:364b2362add7c1c65298ed9ff77f5ee9d0c4a121}}): {{formula:8ed8d9e6-035d-4e76-a26d-aeb00020b7bc}}
r
9a6e310b7b806b8186682a75a1820f2f
Further, we say that {{formula:41e5c387-a7cc-4645-9044-dbb48c9f99f8}} is subdifferentially continuous at {{formula:8b22c8f6-3008-4c57-b5cf-51fd1f5112e0}} for {{formula:451593ac-5571-4a59-a77a-9b23b589dca4}} if for any {{formula:47af298e-da27-4248-89a1-1bc1a236e788}} there exists {{formula:6f812de5-92d4-473a-a427-0b...
d
135ad6b4a70ad5241932e4fb170088b4
The large-scale solar and galactic magnetic fields are generated by a combined action of helical turbulent motions and large-scale differential rotation due to the {{formula:38757df0-2406-4d17-90b1-323c3e4f82a2}} dynamo {{cite:4a8ea9dc18cb6584363052292d615c5a26f06316}}, {{cite:9a962ae92a1a91a935684de26e39322d459cd5eb}...
i
1fda2086414f93c999cdd3db1c0f80b3
Since our framework trains a classifier using self-labeling, extracting the right representation of the data sample is crucial. However, most of the feature extraction methods have difficulty with handling a dataset bias {{cite:091be79be571081f6608de16097af0a71535b2d9}}. As future work, we will focus on the disentangle...
d
eb1c9b9f1da3968db9d776a39c8d4536
We have considered the regularization of applying the quantum extremal surface prescription to gravity theory with matter fields to the Schwarzschild black hole metric in {{formula:ec7f65ae-39d8-4671-b69e-e339b051ca43}} using thermal coordinates {{cite:0a81cea81a9d87a95d60b43e8be3855c996a93da}}. This consideration per...
d
37ce3438ea1627f5c2f4d2f9f12305e6
which is a discrete analogue of the constraint equation {{formula:737b6bd5-231e-4fc1-8349-06fe28194f53}} in the smooth case {{cite:2bc54cbdbdd17478e0a0318ef1e4b77bb30f7bf3}}, {{cite:b71ec8dbc7b19f81bb6b734b0ee43782d3e2c69b}}. Following Kazdan-Warner's arguments in {{cite:2bc54cbdbdd17478e0a0318ef1e4b77bb30f7bf3}}, the...
r
a15c07135caa9c354f1bd148537f6a52
In linear-chain CRF  {{cite:8e4dad58608433f9e52df2dd43ab7bee28ab1a43}}, partition function can be accurately and efficiently computed with the Viterbi algorithm based on dynamic programming. However, in seq2seq networks, outputs at each timestep couples with each other, and can not fit into the framework of the Viterbi...
d
da9a313479aaf26d865ff8b71d93269c
We use the standard wav2vec 2.0 BASE architecture which contains 12 transformer layers, and use the publicly released pre-trained checkpoint from fairseq {{cite:cd087fe7bc18276832ebba3c7effd70a3c8a3b93}} which has been pre-trained using the LibriSpeech {{cite:43c1d6f9548d3d0d0443c647eff6b46249aead46}} dataset. We use a...
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6764b48285098cfcff64c6a1c93e05fc
We compare AR2-{{formula:3e84380a-7f80-4455-af24-b928d4e5de88}} with previous state-of-the-art methods, including sparse and dense retrieval models. The top block shows the performance of sparse retrieval methods. BM25 {{cite:5094501eb59353910d77c60b1e765f6418ad112d}} is a traditional sparse retriever based on the exa...
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5de0394711bae2887b9d868eb8f1a419
Table REF shows the results of CaDDN on the KITTI {{cite:178ff8eb7eb9b1e83583bd302c85907bb040632f}} test set for BEV detection. Our method outpeforms previous single frame methods by large margins on {{formula:0b343f7d-6afd-47a4-810f-766020f63dca}} of +2.91%, +1.59%, and +2.22% on the Car class on the Easy, Moderate,...
r
af65dc1515cd981330240284a61408f7
In this section, we report audio-visual synchronisation results on the VGG-Sound Sync dataset consisting of videos with general sound classes, and compare with several strong baselines. Results are provided in Table REF . blackFirst, while comparing with the recent AVobjects {{cite:3420b5574475229470d3073c561903761012b...
r
84ba518f4b07203d03138df58136e208
Let {{formula:8af0c375-8a63-4a0e-a059-e5a735b02213}} be the truncated OLS estimate using {{formula:a9493f7c-7ce0-4bbe-a78a-b02486bbbcdb}} , on a dataset {{formula:6d7abae6-04ce-41e0-a8e8-0c1b22213e45}} where {{formula:f1079621-327e-4e14-a89e-f78d4c5ab353}} . Then {{formula:a78bf26b-71ec-46a5-b5eb-66625af0d34e}} {{ci...
r
6dca5fa558251e462c24b0829cad486d
We presented a meta-learning approach to extract the inductive bias of differentiable supervised learning algorithms, which we hope will be useful in normatively interpreting the role of features of biological networks. This approach required few assumptions beyond those that make the inductive bias an interesting way ...
d
f12d15364825ec095f2e55fa5992199f
where {{formula:37da87ed-4bc7-46e0-842a-3974045ea3fd}} and {{formula:e7627f39-f5aa-42a8-84ae-97a49a1651a6}} operate on the two input modes while {{formula:9da9441d-c07d-483f-a0fd-d1b89aed7467}} operates on the SH-mode and where the parameter {{formula:1fbce1ed-d19a-4eac-be06-aa8c43f07f8b}} is a coupling constant pr...
i
6cc08bbc891fc853b59fd6f1cf9d0765
The MAE models in Table REF are pre-trained for 1600 epochs for better accuracy (Figure REF ). Even so, our total pre-training time is less than the other methods when trained on the same hardware. For example, training ViT-L on 128 TPU-v3 cores, our MAE's training time is 31 hours for 1600 epochs and MoCo v3's is 36 ...
r
fd865b141b713e2d1f5dcc21f2b3afb5
3. Find more general solutions different from (REF ) of cone holography. Similar to the case of wedge holography {{cite:3c11b24417d6ff3023c9c9f6dbfb25d478a5d9a3}}, these solutions are expected to reproduce more general Weyl anomaly, such as the second and third terms of ().
d
7032f795c20a5e22349d8ba6ad59ae4c
It should be noted that this is an orbital dependent, non-variational method, which is applicable for both ground and excited states. The nagging orthogonality requirement of a given excited state with all other lower states of same space-spin symmetry is indirectly bypassed. In this way, while {{formula:84d98404-22e2-...
m
5eba0ddc323c43bd4586e71f0278ecfe
For all {{formula:7dcc30b7-2630-4f28-9b21-41275bdf24a7}} , {{formula:85439906-7871-4829-9fbb-de858e2570f3}} . This is because {{formula:526b0f39-026f-4d19-8eec-ab69305a46db}} from (i), and thus {{formula:179bafe1-481d-4081-a9ad-2e7f002601af}} Lemma REF below states that with high probability, each community contains...
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d2c16cbd81d52b6e6375a8beed9b5d4f
Even though the Laplace method is very efficient, it can be quite inaccurate since the Gaussian is fit at the mode of the intractable posterior density. With Variational Bayes methods, one main disadvantage is the assumption of a simple factorization of the joint posterior, usually into independent marginal posteriors ...
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b4c36a81ac8faa841054d42ace1f64e1
The dynamics of classical homogeneous Yang-Mills color fields and its chaotic properties have been investigated and well understood about 2 decades ago (see e,g {{cite:d8ccd15edbbcd3806f6f3e078e964c634f28f7d8}}, {{cite:ac6475528ccc90f66d8ee5f34b44b0d39e1f388e}}, {{cite:7f5d39b89a02e05a7c3533bf0c35e4754a79517e}}, {{cite...
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6e9fe3b3d4126b8b56252ae21304a8cc
We release video results https://youtu.be/z-rBcY87XCw on test sets of cityscapes dataset {{cite:60ae7e81b1851ef09195ddaa5da2d148ed3bcbc6}}. Our method shows much clear and consistent prediction compared to state-of-the-art image UDA method, confirming its robustness and effectiveness.
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0b945371b0da7fb8812e7e751f241de1
We compare LongT5 with various top approaches: BigBird-PEGASUS {{cite:7efb0bf9a6bbe69af665c70899f1365fc5a12c30}}, HAT-BART {{cite:6dffbe0380062fd1bf0c27a2ec5cd702126c6965}}, DANCER PEGASUS {{cite:0dc95dcdc3a09ba82f10099c5a432f6deb87eb27}}, PRIMER {{cite:77d155e734234c300e914c40a1c6d27b7af77955}}, TG-MultiSum {{cite:048...
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85e54593636dc1b23f379c02f470abde
Table REF presents our results of training from scratch on the Kinetics-400 benchmark. Comparing to the R3D-50 baseline {{cite:889d18c62979f7c63884bcf803e779e7474709b8}}, the modern training methods and architectural changes introduced in R3D-RS-50 significantly improve the top-1 and top-5 accuracy by 3.8% and 2.7%, r...
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96c87128511aec4716fa96cdbd3539d8
Theorem REF completely classifies cohomogeneity-one shrinking, expanding and translating solitons, and cohomogeneity-one special Lagrangian cones. However, there exist cohomogeneity-one special Lagrangians in {{formula:3f2cb205-2b25-4588-ba5e-7d969ef86c06}} that do not lie in the zero level set of the corresponding m...
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eba6b4c2d082a4973c3e2e428a79fee1
Because we have {{formula:cdc92c3e-a1fe-45ce-9262-833a61d4232a}} , {{formula:7ff6a61d-8d26-438f-9355-a633d92db6f3}} is equivalent to {{formula:a5a6c54f-94d4-441f-9d6b-afc7e2cd6ce9}} where {{formula:ee074baf-3c1b-4aa2-a742-ad50087f6084}} denotes the standard half-Cauchy distribution on positive real with a scale para...
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8c00e0b4df3e1cf2a691ba630ccb8694
In this paper, we reviewed a collection of data integration methods in causal inference. A common perspective views data integration in causal inference as a missing data problem where the study sample is a subset of the target population. This problem is referred to as generalizability or verify-in-sample. We summariz...
d
5cdc8ee69459526e98db3bd0c043043a
with parameters {{formula:90ac64cb-87a1-4c1e-ba2a-c85decf74297}} of the deep model {{formula:edc251aa-3267-4ac8-b7b0-7fddee9ef8b7}} . The posterior distribution in (REF ) is generally intractable and therefore, the integral can be approximated by summing Monte Carlo samples obtained from {{formula:4e6427e3-23d1-47c7-8...
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bbcfa8692c4491d89ea52253a9a0fefe
In this subsection, we explain the difference of PPConv from other methods in detail. Primarily, following our design goal explained in Section , PPConv utilizes 2D convolutions to efficiently extract local features, unlike voxel-based or point-based methods. Projection-based point convolutional networks proposed in so...
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0e2726eb905b32397c634dee73914a17
The results are shown for four qubits in Fig. REF and six qubits in Fig. REF . The effectiveness of a classical optimizer for VQAs is typically only assessed by the convergence rate of the cost-function without taking account the quality of the output circuit {{cite:d6048e7e2460edc8df06055eed902c3fb74a9eee}}, {{cite:f...
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8d818396764000e606bacd0ab629b55f
Our analysis relies on the contraction of hidden representations in total variation stated in Assumption REF . As discussed in Section , the standard Doeblin's condition is sufficient for the contraction {{cite:a00b71ea7e84504d8f5e19432d8b66c790d1eaf3}}. We conjecture that it is possible to prove Doeblin's condition fo...
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5bd6603d143eed0c035f43880a83a715
Cryptanalysis promises to be a very fertile field for developing insight into the quantification of computational resource needs. A game theoretic view of cryptanalysis was introduced by Von Neumann and Morgenstern and later taken up by Shannon {{cite:689f3d01cc348d05fdf881e2703604e5644bcc15}}, {{cite:4e094f62af0debc6e...
d
90c2fe1ba42b4f074f2dd5fdc9b8faf6
Let {{formula:2f139d80-4c87-42dd-b6dc-08920960057d}} denote an image of an object, and {{formula:6f5d7e40-36cd-440b-98d7-702e6ba28d92}} denote pixel coordinates. The goal is to learn a function {{formula:b56cb775-dcaa-4707-a778-3c53ad00bb04}} that outputs a pixel representation at spatial location {{formula:44e7e8db...
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95fbd642bfc16cbb4cd5d2780b500fd9
Online harm {{cite:d76bda52b414ebd6b4d4883c5d57049efc484afc}} and—particularly for Natural Language Processing (NLP)—abusive language, are highly complex phenomena. Their study spreads across several subfields (detection of hate speech, toxic comments, offensive and abusive language, aggression, and cyberbullying), all...
i
e7ffcefa0bd7952514125a6b8ec8cb44
   As is known to all, the real-variable theory of Hardy space {{formula:1c21294d-7d16-4d42-b028-14dda5e27740}} plays an important role in various fields of analysis and PDEs; see, for examples, {{cite:04bbcf3cfcf419697d96cbf9e3469f328bb2361d}}, {{cite:83262c4674d2072f1620f06263095c830c2cf6a9}}, {{cite:30db93a9f6641f2...
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f5a877d2015d900d7fa88acd6d0225d5
We study two main on-device DL frameworks, TensorFlow Lite and PyTorch Mobile, from Google and Facebook, respectively. We use image classification as a common DL task to evaluate the robustness of the frameworks. Our controlled experiment is designed to study the effect of the models, the adversarial attacks, the quant...
i
18e2bb1e3c72df05d573a03edec67adb
It is also noted that other machine-learning methods including k-nearest neighbour regression (KNN) {{cite:5305aee062ae27921042a86aff58732480313d96}}, least absolute shrinkage and selection operator (LASSO) {{cite:f43a481607798c0a8e85a770737c9e4a95624d9b}}, neighbourhood component analysis (NCA) {{cite:b6207956d7b36691...
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bd0c0913a603ed1cc1ce8f011d790f24
is equal to zero. Hence, one can identify {{formula:dcf750d0-9707-41f3-8154-f3e39e5fe53d}} by averaging the predictions {{formula:e0439b8e-ff26-4b67-a18e-4a22101121f2}} made in the complete cases over the distribution of {{formula:dbb9291d-b352-4066-9362-17d90a6a46d5}} in the full sample. More generally, under the M...
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524717df8bea316343637b3b127fc606
Most semi-supervised learning methods assume that the labeled and unlabeled data come from the same distributions {{cite:3a30f18ad8ef15b00218da29cc4697d5f9854b0c}}, {{cite:39337b951aa30acae95f1bbe2a1cecd78b53475a}}, {{cite:3f291fbe6f86e3fffe5fd7f35411493dbe4281a0}}. In other words, the subsets of the data are labeled s...
i
c848e9cc81e101f0fff3c12aa7189d8b
Though the stochastic gradient method is popular in practice, it has well-documented deficiencies. Notably, the method is highly sensitive to algorithmic parameters, with small misspecifications often drastically degrading performance. Recent works {{cite:a6d2ec9301f2906f9555ea69ea406e630098c516}}, {{cite:d10328867066a...
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c2ba72dd665da08a6d623b377efc5b4a
First, a YOLO-inspired {{cite:86e7c75fa2aa3208ad4d65ff38f7d93fc38d6e97}} input layer is added, consisting of a 7x7x7 convolution with stride of 2. In Figure REF we mark this particular layer `A'. This input layer quickly reduces the size of the volume being processed by the network, while preserving a wide field-of-vi...
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5dcd8610e550550aed3c5c7a4cb7b7d7
In our comparative analysis, we consider the following optimization algorithms: SGD, RMSprop {{cite:c81b9bb8454d260e5e01dca5fd1339698e3e3a85}} and Adam {{cite:f66ff58272d7cb8e9d232a8a992c5f383980e612}}, Entropy-SGD (eSGD) {{cite:d5d9479f2810054107a018e117a644256b33ef0a}}, Accelerated-SGD (aSGD) {{cite:30ceddb4753f8bb0c...
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11757c861ec7fcc8ab7d586f5406fb34
13) It has been argued that OJ 287 may produce a few muon neutrinos with energies more than 100 TeV in instruments like IceCube-Gen2 during ten years of Fermi flaring epochs, influenced by the modeling of the 2017 flare of TXS 0506+056 {{cite:12ca3b0a803edc3f1e402aba6f52193e12b43b80}}, {{cite:4d2bfed486a5ad2c1dfba40e9a...
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dc0d7441bbdbcede134aef0e52c25cc1
The past decade has seen an impressive growth in the development and application of machine learning techniques {{cite:f8f1d62eb274a6f252dfe5b855c8a2dd0349951a}} in quantum chemistry and computational condensed matter physics {{cite:e94c6446df77590db7283f3f284b6a4b3512efe1}}, {{cite:192f2cf5e79b6db19bb56f24ebb4cf4df139...
i
d49fde67718f3342acd00b016e67b7c1
Model:Optimizer We use the Adam optimizer {{cite:e291f5ffbb9f9a86cc0be3ff60c9015601651047}} with: exponential decay rates for first moment estimates {{formula:0540efb8-2a7e-4c5c-88b7-f6838a673f17}} , second moment estimates {{formula:1803ac9c-d861-4a1f-a812-d58d267ecc48}} and {{formula:a1ff2e81-07e2-4381-ad96-bac98a4...
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6a8f5cb7d0323ce7ed6ab4c07340805c
The amplitude of the breathing motion depends on both {{formula:7473d2f0-bf34-44bf-b910-386228b1af8a}} and {{formula:af0b97b1-b5c4-4fd9-83f2-49c287bd0e60}} . The spiral density waves could drive alternate expanding and compressive motions along the Galactocentric radius near the plane ({{cite:efd25d9d30bd3e4b01c6fa1f7...
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b62765845cea370696aaa6bb5dbf2941
The following result can be proved using the same ideas as in Lemma 8.2 of {{cite:4e7052764bfad7abc2f4a5c456b196b6ec764cef}}.
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f779197778b1f0d6f1628dc16f31b2a5
As described above, the full noise model we use involves two noise parameters, the noise variance {{formula:5f06b946-6319-4790-9c35-50a93fd51ec1}} and the swap-out probability {{formula:457671ad-1ba8-4714-bb35-2c8a41293a26}} ; the error threshold is a line in {{formula:5f33e0bb-a2b4-4187-b8cf-d28d65df8674}} parameter...
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c947ee803efc6486209b57c8d83683a1
Numerous extensions to the proposed approach can be considered. One argument for simulation-based design is the ease with which sensitivity to model assumptions, such as the value of nuisance parameters, can be assessed {{cite:f7a46a4e94dc7023e6b63da7403033e0a3c5da7b}}. Future work could consider how a systematic asses...
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1ade9edd84180827fa018e352eeebbc7
As shown in Table REF , for both datasets, MARK-Task outperforms all competing methods in terms of average accuracy, while showing no sign of CF (BTW is close to zero). This is specially remarkable for Mini-Imagenet, as competing methods use complex AlexNet-based architectures during training versus our simple convolut...
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5eefd8c4090c08b4c3caaa5b903a6b4d
Neural Networks are a widely used tool nowadays, despite the lack of theoretical background supporting their abilities to generalize well. Classical notions of learning guarantee generalization only if there are more examples that parameters. It is clear that a stronger assumption is needed to achieve tighter bounds, a...
i
e83338e2230a591e78b55a603f1684f5
The rating-based prediction method aims to learn latent factors base on the rating matrix between users and items. The most common rating-based methods of the recommender system are Factorization Machine (FM) {{cite:42be4fed519886509e668ed0c2505af2e9b92d4b}}, Latent Factor Model (LFM) {{cite:e8368b2f4481e6706e391b0bd8f...
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3b1d4b9efde8e37b9785cbc06d9daacd
Fig. REF compares the performance of U-Flow and C-Trumpet. The experiment shows that U-Flow significantly outperforms C-Trumpet both in posterior sampling and UQ. Table REF gives a quantitative comparison of U-Flow with baselines, including the basic U-Net {{cite:0762e959025549f2ac6900a90fba640c502afbf2}}. U-Flow exh...
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6446301fe176cbc71cfb1f55305f8792
As evidence, when we are studying the stability of the network in {{cite:68318c20e73df64108c8fed7fa4c26272f9a2193}}, we find that without limitation of entropy model (imagine setting {{formula:6880d434-e27d-4155-be7b-50d6b87558d0}} to {{formula:19c74df4-3d51-4c58-bb57-003c7746553f}} ) and quantization, {{cite:68318c20...
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1d85a51b7fa935d8c69c17444e8adfc7
In the graphs, we have highlighted the temperature points corresponding to the beam energy values used in BES. To get these temperature (T) and {{formula:8646136d-322d-4d4a-bfa9-33efa1afaccd}} from the value of beam energies ({{formula:df1ed8dc-97d8-4907-b6a7-a58065c284c9}} ), we have used the following expressions, a...
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First, we compare our RDN with several state-of-the-art gradual SR methods: DRCN {{cite:8de05db60d73231b2294ca51e28d9316b8030d3d}}, LapSRN {{cite:679ea3d227b45102202dfc82682627dacd347ce9}}, DRRN {{cite:eb475132bc6bf798d2e10a2a881de26079fa2e0a}}, D-DPBN {{cite:e5bcbec090eac1e872bdc8b8df7ada915651b653}}, and SRFBN {{cite...
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Speeding up gradient based methods has been a subject of interest over the past years with many practical applications, especially with respect to Deep Learning. Despite the fact that many optimizations have been done on a hardware level, the convergence rate of very large models remains problematic. Therefore, data pa...
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Despite its structural simplicity, we demonstrated that MIAN works efficiently across a wide variety of MDA scenarios, including the DIGITS-Five {{cite:ad1e0673d9f5af15432397606905eb57eaa91be9}}, Office-31 {{cite:59eaa26cb64a0ca58a0c088d1a878f1f0ed5f7b5}}, and Office-Home datasets {{cite:48f27cb205aaa3d0d9d768d175de894...
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where {{formula:02f97c80-8ad3-4be1-b93f-6fb6866483d3}} is the returns on the {{formula:0f471c3e-bd0b-43c8-8b85-953eea5d431b}} -th portfolio of Fama and French's 25 benchmark portfolios at time {{formula:70d9b133-7644-491c-ab5a-2f8546542627}} , {{formula:0a6d12ce-d9ba-44b1-b8d4-7cdd31208777}} is the risk-free rate at ...
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Although, as we have just seen, these problems are all decidable for automatic sequences in theory, in practice, the automata that result can be extremely large and require a lot of computation to find. We can use Walnut, a theorem-prover originally designed by Hamoon Mousavi {{cite:26ff11624786c8fc7a4a5500d0cddbe7fbaa...
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Figure REF shows a retinal vessel segmentation results using the proposed method. It shows that the proposed method is able to properly segment thicker vessels, which similar as its respective ground truth. However, in some cases there are few discontinuities observed in the segmented thin vessels that is the limitati...
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On the other hand, more structure is present in a system of many degrees of freedom, such as a metric. One can probe several features of a system by following a metric approach. But such a choice of a metric is not unique. And a symplectic structure always induces sets of almost complex structures on a symplectic manif...
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We tackle this challenge by first making the following observations on why emergent communication is difficult in a decentralized multi-agent reinforcement learning setting. A key problem that prevents agents from learning meaningful communication is the lack of a common grounding in communication symbols {{cite:2a7d4a...
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491e072ebaa1a60457f5313ec95e09c3
System identification {{cite:aba5a0038025e71745026507231db9fba1cc5756}}, {{cite:f5fc2adc3f0e644efd42c8474d7ccde36899495c}} is a fundamental ingredient of many problems, such as model-predictive control {{cite:25b1fb85cca96472f57056f1c6802966e5b140e7}} and model-based reinforcement learning {{cite:5b33f493bf70c5ba638c80...
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This type of equations was initially considered by Ishii and Nakamura {{cite:34c56bc9d0742833da8fd9a34a5da5de0d454223}}, in which they investigated the existence, uniqueness and convergence of viscosity solutions. When it comes to regularity theory for Eq. (REF ), Di Castro, Kussi and Palatucci {{cite:1e5a1dff893a190a5...
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The Adam method is a sophisticated form of gradient descent. Recall that standard gradient descent involves computing {{formula:9585301e-e51a-4932-803f-5b42b4a2bf76}} , the partial derivatives with respect to each degree of freedom in {{formula:200e33f9-ed3a-4f6e-9bc9-f9faa64ca6e0}} (referred to as a free parameter), ...
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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...
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In this Section, we present the experiments and the results of our study. CIFAR-10 {{cite:db792ca4e28376c504e2cd31262891b7e2e2c07a}} is a popular dataset for image classification tasks. It contains 50.000 train and 10.000 test data samples of tiny images (32px x 32px). Each sample is assigned a label that belongs to on...
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Nešetřil and Ossona de Mendez {{cite:73d098bc58df8f85ba0a56189fb7e7af839bb5db}} give examples that even if we replace “there exists a path of length {{formula:20b2dc00-85ac-44bc-aab4-172823109f92}} between {{formula:3f96a993-1a85-4a0c-8511-10f3e04597f9}} and {{formula:719286da-6124-4d14-b477-9f0cd6779194}} ” by “ther...
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Jagielski et al. {{cite:3b70402c00ed839caa52f06f68f2a905618a0e9a}} proposed a poisoning detection algorithm, TRIM, on linear regressions. TRIM recovers the legitimate non-poisoned dataset by searching for the keys that cause the largest loss and identify them as poisoning keys. There are two major limitations in applyi...
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In recent times, large pre-trained neural network models have been successfully used to achieve state-of-the-art performance in computer vision (CV) {{cite:84fa5da71f662e94faa33d246512e25a0bf64a1e}}, {{cite:7abcb34f7fdced6e4cf8bc66a6f2c20da4189e58}}, {{cite:c5fcd28cb60a0770910f827e675a94755cd4b35e}}, {{cite:0559ce7a59b...
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In this section, numerical simulations are provided for characterizing the proposed protocols. In our simulations, we consider a three-dimensional (3D) coordinate system where a uniform linear array (ULA) is used at the BS and a uniform rectangular array (URA) is employed at the RIS, which are located in the {{formula:...
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COCO human keypoint detection. Our pre-trained model also works well when used downstream for human keypoint detection. In Table REF , we provide the results obtained when adapting our pre-trained model to a Keypoint R-CNN FPN {{cite:aa3cdbddf61660bfa92d303a96b397a32c0a5280}} model. Our approach achieves 65.7 AP{{formu...
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cf9132f4b9a2578dc7ba43af967ef3df
About two decades ago the first determinations of metallicity in high redshift star-forming galaxies {{cite:e4221d6ec0e60e9e1c22d0c7f4cef7bfc7841aae}} and in damped Lyman-{{formula:b3bcb26d-72b6-46ad-95a7-cda82e58d31b}} systems {{cite:966ee1a498002052b8812713c315f38b0d970d01}} were obtained. From these results, among ...
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We evaluate the performance of our mapping framework in the Carla simulation environment {{cite:f143ced046a4b0c45ea9dc6778d4748bfb36dd46}} and on a physical legged robot. In simulation, we compare our method against two baselines representing state-of-the-art terrain property estimation methods and illustrate that our ...
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8504f16b169815d15479e193a032e0c2
EMA Confidence: As we can see in fig:fig3a, instantaneous confidence suffers from high variance across training epochs and is inaccurate for clean data detection. Incorrectly determined regularization power due to such instability leads to performance degradation. We use exponential moving average (EMA) along the epoc...
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Any {{formula:9b7cf56e-b4ee-4906-8538-3f2ce9c7e531}} -dimensional algebra with non-trivial annihilator can be represented in the form {{formula:a948de0f-bc0a-421c-9e71-ddce91cc9abf}} for some {{formula:bb34180e-6a36-4232-a64f-54f68a2544e0}} -dimensional algebra {{formula:c3c02d04-a4f3-4f3e-91df-f089675ae655}} , an {{f...
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We now seek to optimize the nonreciprocal response of the proposed elastic wave circulator by fixing the dimensionless modulation amplitude {{formula:2cceeee3-1d5e-41a9-9f3d-1877beebb9e3}} and sweeping over the drive and modulation frequencies. The objective function for the minimization problem is the ratio of the ab...
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Nowadays, sequence transducer networks {{cite:04179dfe227b889ec5d71844636b6463bdbcdf4b}}, {{cite:66e74f5c73f3c42c00e29ac0b427f8c2e6e8ee6c}} are widely used for streaming automatic speech recognition due to their superior performance and compactness. A sequence transducer model has an encoder to capture the context info...
i
0d6b1976f2a3f1d1b81b279d2267b901
(i){{formula:65028900-d7ab-474f-91b7-7788eb0f7427}} (ii). Suppose that {{formula:5ceb538e-9c88-4ff6-bbcf-b7494e7f7ed9}} is infinitely generated restricted-finite. By Lemma REF (b), {{formula:397a0b9a-5826-4eee-8f5d-89f482b32092}} is locally finite. Hence by 14.3.7 of {{cite:8b286f4b41521767049a466c20d925829501456f}},...
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33af52eeeb5a4c3d0c6ff73aa7a2e0ec
In order to achieve the optimal policy, policy gradient methods update parameters along the direction of estimated gradient. Vanilla Policy Gradient(PG) method REINFORCE and its variant GPOMDP using Natural Policy Gradient(NPG) methods were proposed and developed by {{cite:371cf220f639d6c50380b9c7b18e0caddfb39156}}, {{...
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Sensing viruses cause an immune defense system in host cells, and this induces acute IFN signaling activation followed by expression of IFNs. These IFNs amplify JAK/STAT signaling to promote the expression of various ISGs and accelerate subsequent cytokine signaling {{cite:e5f655df856142c757ccd5886b30bd721672dfcc}}. As...
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As a consequence of thm:CVRP, in cor:all we bound the approximation ratio of the iterated tour partitioning algorithm combined with the TSP algorithms for graphic metrics of Christofides {{cite:d96f5f5e09df88909f2fbe283bbf2c94b7ad3d71}}, of Mömke-Svensson {{cite:791ccd2d512c42e8794bc63bb98ce0520651ae3c}}, and of Sebő-V...
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In the paper {{cite:2ed6449679b339c086e2ecb7084ced5b2ac3b671}} the Bayesian approach to regularization is reviewed, developing a function space viewpoint on the subject. A well-posedness theory and some algorithmic approaches which are used when adopting the Bayesian approach to inverse problems are introduced. The fun...
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a7db6ed645830ca4dd956070e347c06f
In a word, the path integral approach provides a novel insight to study the evolutionary dynamics. We will consider the evolutionary process with eco-evolutionary feedback, environment fluctuation, the distinguishing selection intensity {{cite:8c72a0046bda599004e2bec67eb1c6ca40493a54}}, {{cite:74c6b544c1190ec06fe595ee1...
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where {{formula:e0384cd1-161c-4e4c-bf2b-1279209c07f0}} is the output of the optimizer neural network {{formula:b55a4642-31f3-4ea5-9431-15f93da4a361}} with the parameters {{formula:6273a1ee-11ae-4dc1-9391-ec6ea1f7577a}} , inputs {{formula:95c48800-8487-4955-943e-3bd7fecfe97e}} and {{formula:7b885fe2-4f9d-4171-b6b9-af...
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All setups (effectively non-regularized KRR (REF ), effectively regularized KRR (REF ) or optimally regularized KRR (REF ), (REF )) can therefore exhibit a crossover from an effectively noiseless regime (green or blue in Fig. REF ), to an effectively noisy regime (red, orange in Fig. REF ) depending on the quantity of ...
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b024bc6bf405090cdd9c206b78ae7d52
There are several caveats in the present work. The spherical collapse is a simplistic model: the system does not take into account any effect of the environment or rotations and ignores mode-mode coupling. The first step forward is to consider triaxial collapse. Triaxial collapse, which is an important ingredient in mo...
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In light of recent revelations, we further evaluate our method on the new VQA debiasing dataset, GQA-OOD {{cite:fa8f25e482377285bb9cdb19635ec89cf7f03919}} and list our results in Table REF . We compare our method to available recent state-of-the-art methods RUBi {{cite:33c93ebf80a302fbaa4fddaed7431664f9a8527d}}, LMH {{...
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Assumptions REF , REF , REF are standard for analyzing {{formula:1945137a-533c-4aa8-91e8-dbb46fc9a177}} and identical to that of {{cite:d0063e9675000b6a365264eda3c26f145e31dc20}}. REF is convention for stochastic methods. Assumption REF mimics REF ; see rem:examples for discussions.
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