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Our results for the form factors of {{formula:4d135bec-1c7d-4213-8978-cfcba924b8ae}} and {{formula:14e9a11a-ade3-4cc4-aeab-3ca3730372f6}} transitions are collected in Table REF . Our results {{formula:9a81a55b-3a4f-4273-a4c1-140e4bd4f032}}{{formula:725628f1-2155-4156-b483-20f2db472193}} (S2) and {{formula:1a0611f4-d8...
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4781deb277a62848b7b150fd968ecb75
There are several versions of the EnKF. In this work, because the state space has relatively small dimensions, we use a classic implementation called EnKF with perturbed observations ({{cite:d586a47c692091893d1be7b22c566a7cab9fd808}}). Because of sampling errors and unrepresented model errors in the prediction state en...
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7cad18fd0cfa9b9d6b5c7e925b1b710d
In this paper, as down by {{cite:11a65c7cfb4204d52733a34a5ede374ce166654b}} and {{cite:e5fa92d4a48ee8b42dde6fe9d1050e5bfd581856}}, we set {{formula:2b055818-1ff6-4841-99a1-d4cdc7d7009c}} for {{formula:67a9881f-9904-4c2c-81c7-f4104e79b95d}} and {{formula:216278d2-6a2d-482a-bedf-2795698d1f87}} for {{formula:f0556c4a-3...
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96bd792b9121377156f54bd4fe9aadc5
While the higher accuracy on observed languages could entail an overlap between LangID and contrastive loss pre-training, the robust performance on unseen languages suggests a more broad rationale. We believe instead that the observed 'critical layers' are locations where speech sounds (phones) become most distinct dur...
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cc04608baeff806d3fa4dba31b6e5279
In this section, we first revisit the FedAvg {{cite:14658adce1c6471da085d8c4fa9e462da807027e}} and FedProx {{cite:f0bb2cdf52fcf895280f8139d683c826bec53ebc}} methods which are widely used in FL tasks. Then, we adapt two optimization methods from the multi-task learning literature to the FL setting: dynamic task prioriti...
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83d9556cc6d6cb1ef1c8eca386bc2848
Metrics. To measure the anomaly detection performance (classification of anomaly slice and normal slice), Area under the receiver operating characteristic curve (AUROC) and Area under the precision-recall curve (AUPR) are adopted. In addition, we also provide the segmentation performance based on the dice similarity co...
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642bdeb6867023d94fa5fcdf90277b30
CNN: Proposed by {{cite:7b24098dd4445e5023cf90ba8b059e66a7e905e9}}, we perform convolution and max-pooling operations on Telugu word embeddings to get a representation of text that is used for text classification.
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d59b05b4bb3132ed797d9f8bc9240f7a
Seemingly strict limits pervade cognition, from the so-called attentional bottleneck {{cite:b20fc8a2c0dfbf1ea3f71cac345a2a3a7f93274f}}, {{cite:da7560d97846cf9e9dbc7025f64af5e1ec4b20fa}}, {{cite:bedfc23e33329e920c232250f73f0f20f3598f9f}}, over working memory {{cite:7c26350f1bd8831baf297ff98a28c7b5a21c08e7}}, {{cite:8680...
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4959d78eee7c1a1b13192bf932913204
Besides the classical macine learning metheds tested above, some popular deep learning methods are also tested. (1) Seg-Net is an open source project for image segmentation {{cite:26d8659fb166da9f0847bcb993f9e39bb4087e8a}}. The network is identical to the convolutional layer of VGG-16, with the removal of the fully-con...
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a2ecb95cca828d75b7905c3094271b5a
with {{formula:3ed75099-36dd-4211-9b66-d57b80104344}} for a total surface density (stars + gas) {{formula:7e4b0522-c58f-49cd-86c1-2788bbada335}} and {{formula:c4e8a483-167e-4fc5-84aa-a84e97f2a869}} otherwise; the metallicity derived from (O/H) by using {{formula:8e1b3f80-05b2-40a1-aee9-95743308a66b}} so that {{form...
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6781f9894158c97f4b3e63d6e3cfe7c4
paragraph4 .5em plus1ex minus.2ex-.5emBlending Pasted Objects. For composing new objects into an image, we compute the binary mask ({{formula:4f41c9a3-f94e-4b9d-90f3-7378b12d1357}} ) of pasted objects using ground-truth annotations and compute the new image as {{formula:00ce27c3-3866-455f-acfc-6de2057e8149}} where {{f...
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62b8babf668afe1981b68eaa5ad86326
First, we calculate the key rates of the asynchronous-MDIQKD protocol with a short time interval {{formula:7567e62b-4a4f-4894-a039-30eae062ff7e}} . The detailed formulas for simulating our protocol are presented in Appendix . The statistical fluctuation analysis formulas are presented in Appendix . Fig. REF shows a sc...
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ee176b5e137bd764f0ff76314677a4cb
where {{formula:e23e176d-631c-40c8-b4cd-7a02f086eaed}} is the density of a crystal. The calculated value of density {{formula:950e3de1-683e-4b21-bec7-a78ff1e14541}} is 4.94 g cm{{formula:be5f43c9-d431-420d-b8d6-f086b7835764}} . This value is in good agreement with the experimental value for pure CdSe {{cite:3ed9ad722...
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9e8ff5a45ed178b565f66be48abcf445
as the corresponding world average, which has an amazing precision of {{formula:36db8a17-8dae-40e3-871c-77437d3eddf3}} parts per million. On the other hand, the outcome of the Muon g-2 Theory Initiative for the Standard Model prediction of this quantity {{cite:629b469d55832c500fe66840c025e5b6325d65a5}} This result is ...
i
b189e60f38ea116ab7018549826b2e61
The same as the classical Gauss hypergeometric equation, the Heun equation has several confluent forms. Indeed, there are four standard confluent forms when two or more singularities merge into one or more irregular singularities (cf. {{cite:ca3093ce4dfa226a780a36e5f71b34891d586ff2}}).
i
3a54fbc4585b1a5a118210d6c3db286f
The Intra-Modal Regression module leverages CatBoost {{cite:8663fa17d9504cc3d0d8b530468a76b7e9ff90e4}} that uses gradient boosting on decision trees for intra-modal test query regression. For each model pattern, we use all available spectral bands as the input features and the output query band as the regression target...
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6c02dc859ac27d0aec17f592d0fe0f8d
By combining the two aforementioned directions, we believe that the active–interactive segmentation model is the future which aligns beautifully with the life-long learning paradigm {{cite:a244b239afa7490696a4dc7a959f13297ab1cba2}}.
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b4b23c67e400433a8457ebab0b78d45a
Is PALMER less expressive than standard deep Q-learning: Two important premises of deep Q-learning {{cite:e2bb3b4e2e0fa581c24f19efdba8ed46c6aa931f}}, {{cite:64b1773b169e5d90d106f8af7c3313315e7fa493}} are: i) minimizing Bellman error through temporal-difference (TD) updates can restitch observed transitions in new optim...
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89bc5b6ca92514cf26744d5d47f31688
We report the results of the models trained on MS1MV3, and tested on various benchmarks. The results are shown in Table REF . As observed, on LFW which is saturated, our proposed methods achieved top accuracy along with a few other methods. On the pose-sensitive dataset CFP-FP, our part-fViT has obtained the accuracy o...
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9d38ad987ad87bfafcabb707c19ab440
To this end, we have conducted a large-scale psychophysics study using a fast-paced animal vs. non-animal categorization task. This task is ecologically significant and has been extensively used in previous psychophysics studies {{cite:6b531a8288ef558dbc8d93020baf8f1640f5e192}}. We have considered 3 state-of-the-art de...
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ba738b0348d5e66da4bfd0faf4c25554
Copy methods stem from Pointer Networks {{cite:058503dd118d090b50cd0bb30db51ad2b5bbf4be}} which use the attention distribution produced over the input sequence to choose an element from the input at each decoding time step. While at its core Pointer Networks only allow copying elements from the input, Copy Generator Ne...
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ea80434e2ad65f8fcb98444e672c2eff
Here, we demonstrated a possible connection between the near-critical branching dynamics of the NALSM liquid and the edge-of-chaos transition (See Appendix REF ). The critical branching transition has been extensively used to model critical dynamics in brain networks {{cite:e7c5ab3944488961cbd28d21f2ecd10df1405a34}}, {...
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af40c53a0783196c521a306197788761
The robustness of modern NER models has received considerable attention recently {{cite:90e730dbc8efd60d89d9fd4980eec3a0652480a7}}, {{cite:5e71eec322d953da140fd180ecd34780bf82db2a}}, {{cite:dbba66a33d5d3029234b54ced25bd4294d0c7aa9}}, {{cite:63f93fc00045277bc86aea84aa3a798f8dcdb23a}}, {{cite:4f44b1970d5e902f68cf39e3d5e0...
i
dc64271077a3ffca8cf2608b0488a5ad
That means non-local correlations are certainly relevant whenever spin, charge etc. fluctuations are important. An obvious regime where this is the case is the vicinity of a second-order phase transition as already mentioned. Here the magnetic, charge etc. susceptibility diverges and significant changes to the DMFT sol...
i
bd5d79697943e1888115a4c64fac504d
Since the quantum average power {{formula:f5563265-0559-4e85-aa7b-62adc7495cfa}} , in all approaches, is expressed in terms of the population and the coherence correlation function {{formula:aee8b272-daf0-4e5a-9815-aa0e09e59551}} and {{formula:4e558177-27ff-4ab5-89e1-fffeda7a3a79}} respectively [see (REF ), (REF ) an...
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f41f1fc066fde5b003328c7f948b6f04
Estimating the generalization error of a pipeline {{formula:b30dbd20-3c8e-4671-879b-17e38c46d31b}} practically requires to restrict the CPU-time per evaluation to prevent that one single, very long algorithm run stalls the optimization procedure {{cite:7c2c990940db8a22dc26b5ba05c856ab7faf9d4a}}, {{cite:84ba19040d03ab2...
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d1116c975010fc260d23a145bd3588b0
The 87 datasets and 99 low-precision configurations in experiments are listed in Appendix . The datasets consist of natural and medical images from various domains. Apart from CIFAR-10, the datasets include 20 CIFAR-100 partitions from mutually exclusive subsets, based on the superclass labels. They also include 50 sub...
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d906503acae020d0574db2a148f750ba
Conventional approaches {{cite:6e71af80bed2ac9a533925d9518abe477e077236}}, {{cite:77ff43683cf52f280bbaf9567a5b14f97c7bd52f}}, {{cite:48e9678fc6f018e08bf2fea6ebc2c5cd13b740cf}}, {{cite:7b7105f7ca9bb00879c4edd906077ca4b1068c34}} typically discard unnecessary channels from the original over-parameterized network. Distinct...
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4787e9fb1c0212e314439b57ea100745
In this paper we provide a general framework for comparing generalization bounds for deep learning, which complements two other recent large-scale studies {{cite:041497d970d8d1080790a5996fb6f63390ea36af}}, {{cite:02459685121bae71483bde1427b4b6221aa19fd8}}. Our framework has two parts. Firstly, we introduce seven deside...
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f4d441238f2e77a71d5ac17c92303da4
For more details see {{cite:4f9f9524e7e90a398a8f2484817c06d6f1ee6f36}}, {{cite:5b1c55afc38a3207e678b9693f0b9ae0a101b728}}, {{cite:d19a8bdf94b3b2eba3030e5dab5eb9268daab793}}. This proves well-posedness of the WRM for {{formula:c86b127a-74fd-4345-b11b-8f3395b67941}} and {{formula:149b79bf-bdd4-4b43-8502-6765617d5ea5}} ....
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7d116700fd02606cf91e455f1ecef796
Generally speaking, our results imply that, even with the truncated heavy-tailed noises, the function {{formula:6f72ce19-bb97-484e-a367-8b3bfbd6aa14}} needs to satisfy certain regularity conditions to ensure that SGD iterates avoid undesirable minima. This is consistent with the observations in {{cite:fdb7e51c6a32111c...
r
03aa2a3f24693e6fa78f59504a81f745
the minimal dimension of the Koopman-invariant subspace that approximately captures the limit cycle attractor for all three {{formula:a473459e-edc0-498f-8ff6-089afcc4218f}} that fall into laminar vortex shedding regime {{cite:f5660d6765467b646809048081c66ca66fa9cedb}} is five, cyanwhich is consistent with previous mu...
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dc6dc596949a9660a86bc8eaff76ee98
To estimate the empirical upper bound of the classification accuracy, we approximated how fully-supervised models with access to all data would perform. To accomplish this, we used all the data available within the datasets from which the few-shot tasks in the meta-testing phase are sampled and trained one classifier p...
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001e5ac090d782275a1225eafa3022dc
Lastly, we investigate how the structure of the SF network affects SOB. Specifically, we are interested in the influence of scaling exponent {{formula:62c1825d-892e-4910-b239-1de4a1fd3547}} since this parameter regulates the prevalence of highly-connected hubs in SF networks. The latter units play a principal role in ...
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f950dde2f0a68847468bd3d2c6cfb893
We consider different combination of ID and OOD datasets for different architectures. We compare OOD detection performance of PNN with existing works including state-of-the-art approaches such as Deep Ensembles {{cite:481ad2c2800d8dfae1e779ac9153662033afe383}} and BayesAdapter {{cite:041dcccc53f9affdb83a8122f3f7355a5af...
r
80a9171b99a8c49add165ad96a27695a
As we mentioned above in the phenomenological approaches the parameters of the model, {{formula:a1a2d116-75ed-450a-b860-5b856ab48fdc}} , {{formula:24ed91e9-614f-49d6-94b5-f756d9d34b71}} , {{formula:952cfff2-4e2f-4294-bea0-39f8f504019b}} and {{formula:47bb0ad7-1105-445f-b0cd-7c2b60a0e528}} , are fitted to the spectra o...
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9188f093b4a91fe4b5d8545f55317cbf
The explicit derivation of {{formula:b1421ae3-ae36-4d20-82c1-4f47b0a1dfcb}} constitutes the primary reason for studying the complex zeros of (REF ). The main device for treating {{formula:d760d8c4-ee64-4923-b99f-17febae21d51}} throughout the complex plane is the Rice formula. This remarkable result provides a represe...
i
6ad33c413672adaa21b992bad42f35a2
For the CIFAR100 results of average incremental accuracy and average forgetting are presented in Fig.REF . Three groups of methods are shown: non-exemplar based (FT, LwF, EWC, MAS, E-MAS+SDC), exemplar based (iCaRL-CNN {{cite:bd30fa2f9c00023434427c37223bef6a1491e6f5}}, iCaRL-NME {{cite:bd30fa2f9c00023434427c37223bef6a1...
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{{cite:624437488dd825c3f0deb25165411f7ba9f961d9}}, based on 22 years observations at 15 GHz found that the jet of OJ 287 is rotating with a period of {{formula:7b400c51-2fad-4b68-ab78-b453730cbcfa}} 30 yr. Modeling of OJ 287 radio data showed that this rotation can be explained by a combination of jet precession and nu...
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bc295f663f9ee12834f5499b3f80ac66
There are some interesting and surprising technical twists to our results, but given a definable hypergraph {{formula:83ff342d-705f-4a35-b366-d2b8d59caafe}} in finite fields (or in the difference fields {{formula:14882735-53a8-47cc-8f72-4f5fb99a7bad}} , as discussed below), we find some {{formula:8583821c-9cdb-49b7-ad...
i
772e2eb590bc077a9c9db36ae2126068
Without loss of generality, let us assume that {{formula:5f7d62a9-cf1f-4704-b015-2867c0c58be0}} . As in {{cite:abe1afcb9c9dff58f5d99d90a7c6a55d9d89c7a9}}, the input image is then divided into {{formula:71304b8e-54df-42bc-ab10-b173631722a7}} patches of size {{formula:f50112b8-0b16-46ca-932a-2a076e0557a5}} , where {{for...
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3645807b047777f92d5f7bc9bbafb8fd
We have investigated the possibility of detecting these objects and discriminating them from BHs with current and future GW detectors. We find that ET and LISA will allow one to detect and potentially distinguish exotic binaries from BBHs (with total mass {{formula:ce809479-65da-4098-b4bc-014ea6220811}} and {{formula:...
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e83c9519b0441b217c2ffa0286d6b234
The reference values for {{formula:93ddfbb1-0e32-4178-b404-c7cbd4a3da2f}} , {{formula:6c38425f-138b-46fe-b736-40b684007020}} and {{formula:1e0ce80b-4798-416f-8f9d-cbc5eee8ec85}} are assumed to vary freely between ({{formula:05001f4c-cc2b-46c3-b968-8a5e871f496e}} ). The reason behind this specific limit ({{formula:511...
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be29ac97880cc854500710115c7dc1b6
For a robot to grasp and manipulate any object in its surrounding environment, it is essential for it to estimate the position and orientation of the object relative to itself - often through the use of its vision sensors. In recent years, advances in deep learning based approaches have used powerful convolutional neur...
i
7cd8f7b16401fc868ec7875a0dd76ea8
Humans usually read text by row or by column, but how do you “read" a 2D image? We first look at the area of greatest interest and then the other areas or patches. And how the DNNs do with the image and text? Arguably, regardless of the text or image, many DNNs read it as text. Recently years, inspired by the Transform...
i
2ed88794aae007aebb0264827524d3ce
Let {{formula:0e88f79b-fee7-4246-bddf-aea903b6b3b6}} be an unknown joint distribution over instances {{formula:54f7014d-6436-4aae-b77d-6a6270c860b1}} and responses {{formula:bfc7d2b9-357a-46f2-acc3-6c8192bd7023}} , where X, Y denote random variables, and x, y are their instantiations. A common goal shared by many pre...
i
271c492a48d30bb8c10a04859504bb7d
Static nonmagnetic random disorder is most simply characterized by a broadening {{formula:c5d76ec1-799e-4b51-a5fe-32f4fa60d617}} (where {{formula:8d3548da-0dd0-4932-af61-7fa48ae02fdd}} is the Fermi energy) of the electron spectral density {{cite:b035551e89c18f7b6c9269eabe0bca59d5217e83}}, {{cite:8fc28b6ff2e99bfbaf86c...
i
a670407d1910466b444165e6518f6a3f
The programs FeynArts 3.9 {{cite:4f23d82201d26fe264fb6b59db4e3709972a2bbc}} and FeyCalc 9.3 {{cite:8b8986d5a77a7814a224938a00330753f0eb0b45}} are used to generate the amplitudes and do the algebraic and numerical calculations.
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e631351d46d819bc8230fbe913eff3da
One tempting question: is it possible to reach the maximum mass of approximately {{formula:e51286c1-e90c-4106-b91a-65de98d06d61}} while keeping the results still in agreement with the canonical mass observation data? After systematically studying all possible combinations of {{formula:1668df3e-b717-469e-8887-0aff1fcc2...
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ec2cab10cb48a1e469db8dd3f018663b
One important feature of stochastic gradient-type algorithms is that the noise drives SGD to escape from sharp minimums quickly and hence SGD prefers flat minimums {{cite:f91ad3c62d75e7e1c892e03d3924c82c051f53ea}}, {{cite:3d07444477bc85b472447e2dd9736befd97f8cc4}}, {{cite:e7277cd014b2a6332ad7e9d2da93661e4118ada8}}, {{c...
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2f46ac28630a99bfd6e3541318ecc62a
We have found 113 cluster within GAMA. For this sample we have estimated positions, cluster redshifts, velocity dispersions, cluster sizes, and cluster integrated luminosity. Our algorithm has been tested using the GAMA mock catalogs ({{cite:0e10bf13f537db0e384ad6e1b9d7897cf72b698e}}). The calculation the cluster lumin...
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7181e74586af2bbe13d6400c04fe8eaf
Also the fermionic definition of the topological charge, via the eigenmodes {{formula:8b61b6c6-30f9-4eef-a444-62e4bfc82557}} of a chiral Dirac operator, has been used to explore the IR structure {{cite:988bf7db6964019dd09af84cdb1f72a2bad3c394}}. For this so called Dirac filtering one truncates the sum in {{formula:a1d...
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98c75bc3c15fce8faf4331791a893026
Designing submodels based on the main CL models to regulate information transfer. The CLS theory states that the hippocampal system exhibits short-term adaptation and enables the rapid learning of novel information that is played back over time to the neocortical system for long-term retention {{cite:28a95a3bcc74a40eb...
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Formally, in computer vision, given n images ({{formula:92516a72-17a6-4e59-b51f-cab1cfe978cc}} ) of size {{formula:f6486e76-dab2-47b1-9fbb-279f37c94e5b}} , k kernels of size {{formula:4bf49490-1839-4158-bddf-406cdd968b78}} are set. For each kernel patches a small image({{formula:0c632fd8-9ed8-4e1f-a579-5fb757c38e7b}} ...
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1dfb1f321a92a27b7334e4e020a3d402
The relation extraction (RE) task aims to identify relations between pairs of entities that exist in a document. It plays a pivotal role in understanding unstructured text and constructing knowledge bases {{cite:188e04322b1548610554ab57f593b131158716fe}}, {{cite:fd5846a9bcf7d9b7e895634ddd5d61c9f943208e}}. Although the ...
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a29baf4c57aa69c1d1fbc57fb0ce654e
To the best of our knowledge, most of the SSL SOTA methods are validated on multi-class downstream tasks and only few SSL methods {{cite:e4d54a6228cf41829d77c0f6430e9bbf7c159f72}}, {{cite:de524e473774722bb8e36a3cf545c359edb8a36b}} involved multi-label classification as a downstream task where simple CNN architectures, ...
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b669b00853dae9bde3f7c881ec65bf22
For the ShanghaiTech dataset results in Table REF , our MIST far outperforms other RGB-based methods {{cite:a5e347b737e293caa8967e2a557af75b243017d8}}, {{cite:81a20768173a8046739090638661510f0132c860}}, {{cite:69c061757987f83c92d87626c446cad9b268c708}}, {{cite:f664080c61a78803bc078d1a280aaaa43263dba7}}, which validates...
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b108f4624467441174a0e70282de5d51
The classical mirror symmetry summarized in Section applies to the so-called (families of) lattice polarized K3 surfaces replacing the Kähler cone with the ample cones {{cite:390fbdc020f7e838c4b182fe56e048f48af68c6c}}. In our case here, we consider a primitive lattice embedding {{formula:f8cfa69c-ce8c-4c18-a1cd-d8282a...
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fead537a2f93cb2736b2998bfd3c4be4
where weighting parameters are set to {{formula:3173ef59-7515-4f4f-a272-25121ebe23a8}} to achieve a balanced training. We use a decoder-encoder network with 9 residual bottleneck for our generators, and a 3-layer CNN for our discriminators. For segmenter, we use a default setting of a 5-level UNet with concurrent SE ...
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67694dd7e5bd1a648517bb13aa63f767
Further, the new practical version of minimization using (REF ) mentioned above will be combined with (REF ) to establish a new ANN framework, based on deep residual-type architectures, for the approximation of solutions to (REF ). The approximate solution will be, therefore, expressed as a sequence of ANNs {{formula:e...
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42b175931a2acc91223d509c7ca605a1
As we discussed above, the collocation points for residuals are usually randomly distributed in the solution domain. Furthermore, all randomly sampled point locations are generated using a space filling Latin Hypercube Sampling strategy {{cite:0cc4b1308411c4f5a4b6fec6b53fa0d0c4bd2f74}}. This sampled method works well f...
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10c3f95957c47f949a12eb99fc2df0f9
Using lower weight CNNs (less than 5 million weights) was necessary to prevent over-fitting to the small training set (less than 500 images). Regardless, due to the large number of weights in the CNNs relative to the small training set, the two fully connected layers before the output layer required a 95% dropout to co...
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7a0531c33e4621441f0ddebc2112ea39
We experimentally demonstrate the reasonableness of this formalization of side effect regularization. In the ai safety gridworlds {{cite:40d114ca90f694c052e5c412ae4d66655acec9b8}}, we generate several held-out “true” reward function distributions {{formula:13a753f4-f461-4303-8aea-9460814b2b7d}} We consider two gridworl...
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769bdf24a58bcd8c67760bc0357dfd97
Of particular interest is the characterization of ABP in the dense regime, see e.g. spontaneous flow {{cite:9113caf16372917fe8611dba39d7f121dc6a3ee1}} or glassy behaviour {{cite:aeaa7594efa12f1d8a7c7760570f75c6a3d655fc}}, {{cite:d751418d6d2f3a6ebd47dc45dda5dbadb4c5e34a}} in biological tissues, biofilms, cell mono-layer...
i
dd42bb1041a0f8d21485ad4ab9903bdf
We also experiment on the YouTube-Object (YTO) dataset {{cite:2702d1d3e04afc51889a451ee1b0724fba2110d4}} to show the effectiveness of our method in segmenting objects from videos by simply evaluating the results produced by SONet. Following prior works {{cite:f27e453e89edc20e65c8eaba88d1f9b4a21c38d0}}, {{cite:ffb8511ec...
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9ede83c9df62d609c2b3db01db5efba1
When cooled down fast enough, a liquid can avoid crystallization and form a solid with a disordered structure. This phenomenon, termed the glass transition, has been widely observed in many natural and industrial systems but still lacks a satisfactory fundamental understanding {{cite:0a0cbc82b171e342f3eea17d0f206ef5713...
i
fcdda9b0db870509d917f2013b052d26
To ensure global convergence (i.e., to ensure convergence to a solution from any initial point), suitable modifications of the Newton method are needed. An example of a globally convergent variant is the so-called Levenberg-Marquardt method {{cite:6d69f6556243edc69386ad60a5eb61eb687b0808}}, {{cite:e35f9be6173581bb2b657...
i
27741dfacff4becd6357dcc43ab58071
Overall, our study can provide a characterization of the topological order through the response of the entanglement spectrum, on a local scale. This may facilitate the experimental sought of topological order {{cite:595dcf85354cfa4bb29e7b10cf72142783d75775}}, {{cite:d8055124aaf83be8f2f2147288d623bdd2a31727}}, {{cite:0b...
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561c803ef176a5f9f4344df64b1a75af
By (REF ) and using integration by substitution for operator-valued functions {{cite:59eefdeb418b48ab503ddb8d45755eca19145a88}}, we get {{formula:bbabe653-298e-4720-9427-b29e811b8f38}}
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10f8dad5af6beefbacee33ee2f6991bf
Polynomial neural networks {{cite:880260a45ffcc7c0fc81d06aa56a187128531aeb}}, {{cite:3774d5a92b858c7e97833767e5b5309cb11ef7be}}, a special class of NNs-Hp {{cite:a7956b15e708ecdd8d495e98c8b3026506cb4dbe}}, have showcased remarkable performance on a broad range of applications. As a step for analyzing NNs-Hp, in this wo...
i
1072b1bd83380c8e6e5e22593280afd0
It suffices to show that {{formula:64b12741-5690-4f49-bfd0-fd35e409fb97}} is free over {{formula:f8df62d3-600b-4f53-b1b8-f036c6c4e525}} since free modules are faithfully flat modules. Note that {{formula:98c5473b-5e82-4b93-86a6-8b20e65a2d8c}} is injective since {{formula:08310cff-d9ae-4656-b542-93a0492cc3d6}} is a ...
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8b24d0bb6697d5441b04b97e88bfb9f1
It is interesting to compare the results obtained in this paper for the cover times of RWs on RRGs with the corresponding results for RWs on regular lattices with the same coordination numbers. For example, the coordination number of a hypercubic lattice in {{formula:665254bc-79c0-486c-a668-5da12c16e565}} dimensions i...
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b62dce6646e4c759df545e06d5acfe49
Synthesis vs Analysis methods. Our result could also inspire new ideas in estimator design. There are two families of methods in non-parametric estimation. One called synthesis framework which focuses on constructing appropriate basis functions to encode the contemplated structures and regress the data to such basis, e...
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f464263e06f5e39e9aa55dbaef19d281
According to the BEAMS with Bias Corrections (BBC) method {{cite:15ff6c79f8a36d3a99499515244e10a49bfe35c2}}, the observed distance modulus of SNe can be simply given by the apparent ({{formula:3ff44625-b580-4cb3-a5ea-10d7da58209d}} ) and absolute B-band magnitude ({{formula:8fc1e061-8782-414d-9b46-6bce7b0cb4fc}} ) as {...
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c1c9889b8617175150c37cf43a6d0ac4
We have investigated two holographic models of evaporating black holes. First, by perturbing the 4-dimensional black droplet solution associated with BTZ black holes on the AdS boundary {{cite:8a847f84aab94ece04baff2fdcf5f89c3441b840}}, we have constructed the bulk geometry dual to the boundary field theory in a time-d...
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3107ce7100f4e13867f9f2a96e559b7e
From Figs. REF and REF one infers that the radiative corrections decrease rather fast, by about 10-15 orders of magnitude, with increase of {{formula:32a68b6a-2756-4579-8272-8f4e13f8fccb}} from its smallest to highest physical values. It means that the contribution of the heaviest {{formula:660d9fc4-629c-4f6f-bf2e-2...
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debeb80ef70647fb2cc5149349946a28
taking the VEV as (REF ), which has also been mentioned in {{cite:76eb09ab7b1d90e0f8783820dba18cd7ba64756f}}; rearrange the gauge field as (REF ); decompose four complex scalar (spinor) fields into eight real fields.
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62f3313cf3f2462387e2831c7761497c
We consider the problem of rtMRI synthesis as a sequence-to-sequence problem with input text sequence of length n and output rtmRI video of shape n x 3 x 64 x 64. As shown in Fig. REF , we use a transformer architecture to represent the input phoneme sequence. Transformers are an ideal choice since they have been shown...
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f1fbf61649c8ee30c5fa001d7db1f6a3
Uniform stability is a representative technique to derive algorithm-dependent generalization bounds based on the algorithm's stability with respect to perturbations on training data {{cite:6348d13f42f48c3127c057db54cc62f129718b2a}}. One problem of the application of uniform stability is its dependency on the {{formula:...
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e39d2f1f0a1f5a00402ed6982200a3d3
The embeddings themselves are character-based, trained using the skip-gram negative sampling method with 50 negative examples per observation and trained for 20 epochs. Implemented using the fastText framework {{cite:3f35274296da8c713788376613463f6af44a61db}}, these popular embeddings have the advantage of being charac...
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46d30087fd614fad9b7dcfff73460289
We implemented several machine learning algorithms commonly used in the field {{cite:a0cb37724207eb3bbb8e9369937a3732cd66c98c}}, {{cite:34efdeb6dc35d50bba9d28679ceae97efa4f93c3}}, {{cite:056555bbd24a7985073873fa67a460f4143e09ad}}, {{cite:aa961311f13eff186ea1b6efc9cc182976e7fb1a}} from the scikit-learn {{cite:fc10c68548...
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924a9cd55f94ef0f1ab404d2475fef36
Recent deep learning applications use a semantic distance metric, which enables applications such as face verification {{cite:4bb0700ec9320f374c265ce9b211bd0c86b0774c}}, {{cite:de6a53da75a6f7d06ea56a6ec3b821bb3e897ca6}}, person re-identification {{cite:c905b3df443dc4d2cdefc479537a3196dc7b9975}}, {{cite:a3c578a7ce2a53dc...
i
84bb537f247397347aa12261f34c3e5d
Using (REF ) directly as a boundary condition is the classic Nitsche's method {{cite:284cd81d9e5afda88680c0ae811ed4c9d5b2d49f}}. Multiplying {{formula:1d635e1d-2e14-4bf5-aa06-e88fb0976153}} on both sides of equation (REF ), we have {{formula:42af3b65-cf8b-4019-89bd-e9dbfd61b436}}
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55a0c46f31d28696633c28fef38f23c4
Very high flux emergence rate can be used as a precursor of strong flare activity of an AR in the future. Our estimates suggest that flare-quiet ARs do not exhibit flux emergence rate higher than {{formula:a3c085b6-4d08-4411-9194-f59b6e2ae224}} Mx h{{formula:37ea6712-cada-4ae6-b958-4cb805191e7d}} . However, the number...
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d473efc7be0cb250f8a4bc8d0a7ab248
Our results, {{formula:3f96c1cb-6c4c-4cf5-a989-0d52b8f30520}} , might be useful as a comparison with the fixed-node Green’s function Monte Carlo results {{formula:a9cb32e2-1899-4fe7-898f-ce158f733c9e}} {{cite:2c49fa31a202141f421ab61029e5f531783b0570}}, {{formula:9888735b-c32d-435c-8833-1e9f15b74960}} {{cite:ab1794199...
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2d42c2332ec88d5cf2b3ec133c6da47e
FMNIST Only DCCS is able to surpass our method's ACC and NMI performance. We emphasize that using data augmentation in DCCS causes a significant improvement, since selecting the right type of augmentations for a specific dataset can reduce much of the intra-class variance. However, augmentation with GANs is challenging...
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932c70282353a3dc1c03b8f1daf768e6
Faced with an obstacle in proving global well-posedness in case {{formula:438c7bed-d74c-419e-871e-af0cbe83fb5e}} or 3, a natural strategy is to investigate its criterion following analogous works for the 3D NSE such as () from {{cite:657de669fdc2de2a6ae2886671ff779d7426dd63}}, {{cite:339da6706f52cdaf78eec3db3537b2feac...
i
d07c631a778b515342346c27c47f4373
Determining the shape of an inhomogeneous object by minimal/optimal scattering measurements has been a longstanding problem in the literature with a long and colorful history; see {{cite:b27d2dc3c42196dd9b7e35d6dd6e3e7530da195a}}, {{cite:9aee92145e4875ade42a65fac885cdc84030bfb0}}, {{cite:2afab873576d8c043f8e0e8125d092d...
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d1f5ec960e7b548156f73ba67639ac1d
More about Big Model training. We can see that resource requirements for Big Model have grown far more than hardware improvements over the past generations. To facilitate the next major leap in model capacity and performance, it will become increasingly important to co-design training algorithms, models, software, and ...
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b52e6007cb7665777e40750b2215bdea
Traditional deep learning methods cannot be applied to process graph structure data, because of the complexity of it. Graph neural networks are the hot research direction for the majority of scholars. Graph neural networks can treat graph structure data as message propagation among the connected nodes and then the depe...
i
79841a17147171f4dd943f26bb3dad34
The interactions in the lattice gas model originate solely from the statistics of a MSA. They are therefore not directly related to physical interactions. However, it has been demonstrated that the {{formula:e964c2e9-2bf8-4532-934b-fdefd86c66b5}} matrix as used in this study is a good predictor of physical contacts in...
d
5ba45b56787efee940eabc64e1714412
In the case of SDSS J1212{{formula:7dc92c8f-b2d5-405c-bf89-4d81fa499cae}} 0136, early studies suggested that the brown dwarf was under filling its Roche lobe and was more likely to be a PREP than a LARP {{cite:172bf1985859ce169aec8eceeabca442639887c1}}, {{cite:076a55b20cbe7f8df302396479874433554fa14f}}. However, the X-...
d
4add48c9c688671d08e379bc699d3c34
where we introduce a coefficient {{formula:b1c5fee8-d334-45e7-8ce7-2f8bd7f36261}} , if {{formula:38fa05f5-b6e6-4398-910e-53bf337a4b5e}} , the QCD sum rules can be saturated by the scattering states {{formula:73a3e98f-94ea-49e6-83f9-6778923b789f}} and {{formula:3b8f160a-922a-4a9b-8ea8-026f0bc13d20}} , respectively. The...
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a70a6d9d0f6de6decc6955dc02c886cf
In conclusion, for the first time we have shown that the anomalous intracellular transport of endosomes is described the spatio-temporal heterogeneous ensemble of FBM motions. We find that endosomal displacements and increments both have strongly non-Gaussian power laws distributions. Analysing local endosomal dynamics...
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ecdc2408cf96708a951d84b182b4ea64
We present the results of SeTHPose (both SeTHPose{{formula:28a59e4e-1997-4842-a9ce-4b1996df5fe1}} and SeTHPose{{formula:ce1926ca-cd7c-48fd-a4f5-9895685d9cb0}} ) on MuViHand dataset and compare the performances against {{cite:ba5162179ffd263f162e0892b23916b6e59a0ece}}, {{cite:1d66ca745c35b3027a4a9f5383cb4d9659ffad99}},...
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3926cc90c105a829728c8f6deaef781f
A deep neural network method is proposed and verified to approximate the solution of the Stokes' equations. The method makes use of least square functionals based on the first-order VPV formulation (REF ) of the Stokes' equations as loss functions. It has less regularity requirements on the solutions compared with othe...
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810be3cedc0a4d379bd23e8134f16442
The evaluation metric for the Toxic Spans Detection task was an adapted version of the F1-score {{cite:b325f493f1d9442bd20252210e748483a1995df9}} that takes into account the size of the overlap between prediction spans and golden labels.
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f160cf98f68c8542322929e59fd62389
Natural Language Understanding. We evaluate the performance of PAD-Net for MoE on various datasets from the General Language Understanding Evaluation (GLUE) benchmark {{cite:1bdb9a4a750bb67e63058126cb2a7096913225d3}}, including linguistic acceptability (CoLA {{cite:a0d2bbeb5ec7184f128a913c94e4e857699f3e80}}), natural ...
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793738efa22362abb38fbfd9782b8b22
The generalists: A fully-supervised framework for training SE models defines a large set {{formula:8a4ecfd8-183a-444a-a01d-e6162f123f8c}} of clean utterances from many anonymous speakers. They are mixed with various noise signals sampled from noise corpus {{formula:90e48f38-7e46-417e-9b2c-bcaee4e133d5}} at random sig...
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8f8a2440e07d6a38603a1fb0ccf564d8
Several variants of the linear ICA model have been applied to fMRI data including square ICA (with equal number of sources and sensors) {{cite:03621595bad11d824d129ad3e580b28bee6bec4e}}, non-square ICA (with more sensors than sources) {{cite:591ee423463e3c66d81781809b832359dba47fe9}}, and non-square ICA with additive G...
i
ae4b28d7ba4d8d09531dfdcf43466f2c