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One way in which they often come close is when they discuss repeated measures. See for example {{cite:52cb4f9c1e34e6868439905c92fb0f25af53db2f}}, {{cite:2f8c3d1ea245e1363a8fa43371db0fb9fd22541b}}, or {{cite:15432379e2531430763e3be37ee776bd327f67ce}}, {{cite:82ffd86ed9695a2d7a0f2bf2cc36893482744a99}}, and {{cite:e3dbb29...
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4be8f4b42b28a5d6c1e6a7d2620eefbf
The notation and terminology in this paper are standard in variational analysis and generalized differentiation; see, e.g., {{cite:227de480d6a7d26d8e4a27bdf89ea4d7cbe0e37e}}, {{cite:560f23b9ff377ff4a36c010b1fa1ac2229d9b2a4}}. For the reader's convenience and notational unification we use as a rule small Greek letters t...
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1d0c6dff452554e712d2657a40ee57b5
By {{cite:110f25432a84ce444bab291e2148bf79c052eb03}} Corollary 5.23, the stability of optimal transport maps implies that {{formula:450dbecb-e1a8-410b-8c70-c78afebe34a8}} is continuous; thus, we find that {{formula:4dbfd467-5674-4320-a069-20060c8320b8}} is precompact if {{formula:eb0b420e-5cb1-46e5-9ef3-c48b02d4569f}...
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9bb7f56121add2b9472847acadbd3df3
The magnetic properties of systems with itinerant electrons have been studied extensively and partly understood through the Hubbard model and the self-consistent renormalization (SCR) theory of spin fluctuations{{cite:b005c7fa856d355fa41ebdb60602c1bd69a4a9b1}}. The SCR theory excellently captures the dynamics of spin f...
i
ab10c6f8e11ae670ba3620ae5ff2c255
It is likely that for many PQCs, further optimization would improve the circuit training. However, fully saturating the bound on the MSE value is hindered by poor fitting of the y-values close to {{formula:e69da71e-88e0-44be-9564-56467fc6f2ad}} . Improving the fit near these values can be achieved by incorporating post...
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b0517d2b12962e2040b054369124a845
Under a correlated forcing in time, a numerical scheme for deterministic differential equations must be employed to obtain {{formula:1632615e-e0b1-4b86-afd7-62c760c6a978}} , since the external force is now continuous in time and space. For this reason, we generate the forcing with a numerical scheme for stochastic diff...
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with {{formula:3a98384f-ed05-491c-960a-93861ba7ffcd}}  {{cite:5836c32bfde2fde804c8868c2209d6ae809e925b}}, {{cite:f9852ac9a446f5ff2a5eb863da4b2589899cc35e}}, {{cite:96b334c6c2317778cc258b843a746dcb177e9575}}. By tuning the parameters such that {{formula:b1241280-c0c9-4501-92ed-80101c3f6a51}} , the propagator {{formula:8...
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a83a12592151f3c82df56dfc07b72a5c
Using the relativistic distribution function, we have derived a new form of the general relativistic virial relation for a spherical structure within an expanding universe based on an exact solution of Einstein equations without any ad hoc assumptions. The results are written in the familiar form known from Newtonian g...
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f6970f1830a17a6d9e776fddfc3b462e
Given the above, as long as the noise in not low enough to allow for error correction {{cite:41d3437708c73e8f8eb5be76a73b217f4e7e3029}}, {{cite:8d737528dae0e83c50b729202a9bbc05e33718e6}}, {{cite:60136c85869338ec8f0a7888f2e3ff4e878095d0}}, to ensure that most of the output qubits have more signal than noise, we need the...
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b6d8693abc5346c6ee6ac083e1efdecc
it follows that the {{formula:9ff8c982-f424-488b-931d-3a476e2f9098}} -th Hecke eigenvalue of {{formula:6cdf852c-ec76-4b0e-8cf1-3ba44ea8475a}} is {{formula:202e5307-c3ec-45a5-a982-12f7ef94464c}} , where {{formula:b3c8f1f5-a005-4d04-8be1-3d066135a128}} is the Hecke operator on {{formula:58fdbc94-0e26-47e6-bf1a-93a60ffd...
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388b8d1ecfb524a6fc0eedb2daea9497
Several experiments were next conducted to evaluate the effectiveness of REFINEment in the presence of domain gap. Table REF gives reconstruction accuracy for RerenderedShapeNet reconstructions, before and after REFINEment, of ShapeNet pretrained networks. Three methods representative of different reconstruction strat...
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5e6d3824755b10d0a1867ce158e17c12
if {{formula:f4e7dd27-b5f8-4e56-8bdb-4c173d7f6860}} , and it is {{formula:4e98ea84-c036-4305-b1b8-a8ee55c95ace}} otherwise. This refinement of the moments accountant has been already proposed in {{cite:475ddb9ae45e4ef0d4ade64a80af4737e5aa51e7}} using a fundamentally different approach (see also {{cite:5e8928f995f26c91...
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03de8b7c128ea926d9c79a9d6a520d5b
Autoencoder based capsule structure by Hinton et al. {{cite:cae2c8e76766645c0a74cb1e1a4aa910a4456f63}} required to give information about the augmentation in image. In the work of Sabour et al. {{cite:13bf4a6bc096bd072cfccff058c2193b6ed6c6ae}}, this problem appears to have been solved by using the margin loss and maski...
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c71387a60155f3b8ff1f3892c7dc4866
In a similar vein,  {{cite:484b7d2d9c55e83652e6652220742232ac9f07e7}}, {{cite:127d449fafade48951f284592ae3619e48fc9df9}} consider the multi-type variant of the classic housing market {{cite:67ec2b3db1053ec907440de439196bbf1d717b21}}, first proposed by {{cite:a44250dcef1b25287810f493f7d14818febf3248}}, and {{cite:fd2425...
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659f7cd7149c277fe3dab49fff1cdf97
We consider the following setting: Let {{formula:55b86683-b1a1-47f8-bbbe-cc24dddf9086}} be a {{formula:496f369f-d29e-4c7f-ab1c-b39f1162f260}} -finite measure space and let {{formula:9c419a15-4a81-4371-8e01-e0dc9cdb496b}} be a self-adjoint (possibly unbounded) operator on {{formula:e34dd088-51f9-448d-bab2-a50137e4635f...
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We can also estimate an angular correlation length for the EM using the same method as {{cite:ddbf8e427af559d47b8d50760e4dec47d2b89539}}. {{cite:ddbf8e427af559d47b8d50760e4dec47d2b89539}} used a model for the CGM distribution and calculated the autocorrelation using the EM difference from that model. We instead compare...
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fd98d9f85274f102d4b0b9fa74dd8e8f
Equations (REF ) and (REF ) are solved using a pseudo-spectral method in a periodic domain of size {{formula:dd60b78f-c516-4414-8a71-c266ffe8cb5c}} with {{formula:fefe5ac6-eabe-487e-95d7-749e4a853694}} grid points. The aspect ratio of the physical domain containing the plasma is {{formula:07987202-eff1-4339-8016-1877...
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843c1ae5f68a0fb434c81b65d37ac39a
Face attribute pairs: We generate the positive and negative pairs for face attribute editing by augmenting the negative source image with the attribute of interest from a source image. Fig.  REF shows examples for all the attribute edits. For attributes such as hat, glasses, bald, bangs, beard, and eye-close, we use t...
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Future work includes studying the effect of {{formula:ad717766-ed4f-4348-bd0f-7e3c19af7d93}} considering the trade-off between the performance and the sampling complexity. The naive idea is to increase {{formula:f8f8daae-a7b8-4a3e-a871-a276bf57c0bb}} for adjustment of the variance that affects the sampling complexity...
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Figure REF (a) shows the average out-of-sample error {{formula:adfb019a-ff0a-4b79-bb68-d6961c95e031}} (cf. (REF )) for various choices of the size {{formula:971e1ff6-cabc-4f1f-bcea-bea02124f8b2}} of the reduced-order basis {{formula:989d9ebb-7a03-4c8d-b3ad-b187f6e86c84}} and for three different tolerances {{formula:...
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f4c168cf59abce035ea15ead57261f59
to weight features. A more informal but maybe more intuitive definition of mutual information is that MI measures the information of {{formula:7b355d04-f45d-4690-a349-e2497c9c492f}} that is also in {{formula:06da9e33-60b0-4e29-88eb-eda0c83cfddb}} . If the features are independent no information is shared so mutual in...
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2ab1878f711bbd1044be46a249a2d6c1
We find that the proposed method trained with shape induction obtains both the highest classification accuracy and the best recall of TB examples. On the other hand, we find that the cycleGAN {{cite:2d584f92f76dc86395010de9d93fc11750126cbf}} CT offers less prediction value, with lower classification scores and lower TB...
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Further development of search technologies requires ever-increasing computational resources. Recent advances were achieved with cloud-based tensor processor unit pods with the power of over 100 petaflops and specialised chips designed to accelerate the training of neural networks. Albeit enough computing resources may ...
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fb00046de1226da7b310bc5ead230f61
In recent years, considerable interest has been focused on the subject of higher curvature gravity theories, much of which has been motivated through the attempts to provide a quantum description for gravitational interaction. Indeed, the quest for unifying the principles of quantum mechanics with gravitation has a lon...
i
67ca35d577b64be22a5dfcdba0ff58dd
Data transformation. For fair comparison, we use the stochastic data transformation proposed by Chen {{cite:96e391f7fbe6f337ac638766e12ebdba54e88137}} for all methods. In the case of grayscale images, we only use the random cropping augmentation. For EBCLR, we also add small Gaussian noise {{formula:184fdc27-1451-4a77-...
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We introduce a novel milestone-based task tracker (M-Track) for vision-and-language navigation (VLN) and show that explicit milestone detection and checking significantly benefits long-horizon VLN tasks such as those in ALFRED {{cite:48a3d2578b948887f58811e264cf569337a32bd4}}. Our empirical results show the effectivene...
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7d9e92481bde3b07ed3fe6a1bcca188a
We carried out the FCI and CCSD calculations using PySCF {{cite:80ee819100946542e8da39fce6f174818ba4e5a2}}, while the UCCSD computations were performed using the OpenFermion-PySCF {{cite:703fd34785c198bbfadffc84119965569f72bf73}} program. The one-body and two-body integrals, as can be seen from Eq. (REF ), are the main...
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cc439c058d8904b9630454439ff0c1fd
Works particularly focus on the spectral energy of MHD flows started to emerge by the mid of the 20th century. From the earliest of such works the works of Kraichnan {{cite:4b5119f58b5d3c6d6987b01a5836794ab2aac009}}, {{cite:c6cee68cd57b0478a69f4a99c743812e6f899453}} and Iroshnikov {{cite:88b822aca51e8d14ffc47cc5995eb9f...
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f7b2cecc478d53b4693aad13df5999fb
While we were finishing this paper, Cueca and Mehta {{cite:2440c641b743a3ac8ef14801884e5bbb2f265988}} established an isomorphism between the sheaf of functions on a graded symplectic manifold of degree 2 and the Keller-Waldmann algebra {{cite:121365d9a81aa97475ecc1d2cb1f1bed57055d20}} of cochains on a vector bundle {{f...
i
7faacfddd71cc38ee3049cfc0cce02c5
ii) Joint training. We can train a new task jointly with the previous and new training data. This method can achieve good performance. While as the number of translation tasks grows, storing and retraining on all training data becomes infeasible and cumbersome {{cite:c3125cdddab82e49cf7ed866bb538d3ad1c2d532}}. More ser...
i
4ed996223d0c6ef0d8da86734e761316
Previous work has explored these features of genetic regulatory circuits, and much of it has become textbook material {{cite:33c6e05941992e53b8622c71e739cdb077d2d1df}}. In particular, simple autoregulatory circuit mechanisms are well-understood, as is one-dimensional Kramers escape from metastable states, both for case...
i
445f08b10eff2a57681d93edc76d4580
SC has been considered in the special setting where {{formula:8cc34d45-3716-4f71-a466-9d86a6477437}} is also assumed to be monotone {{cite:d002e42c91c5cdb478083203fdff940e9a34e2d6}}, but to the best of our knowledge has never been considered in the non-monotone setting. The topic of this paper is therefore to consider...
i
632d9ccd74dd6f4bfeef384fd44cc39b
We assume the expansion center of the SNR is at rest with respect to the LSR, and so give it the median proper motion of the stars when we compute the distance of stars from the explosion center as a function of time. While certainly wrong at some level, it is a better assumption than keeping it at rest in the Gaia fra...
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5614e060c8c6f70dacce59f22db5690e
The analysis of neural bandits has been enabled through the theory of neural tangent (NT) kernel {{cite:26cf969ef51cf5fcc518baf74d6fc8fba8a8f65c}} which approximates an overparameterized neural net with the kernel corresponding to its infinite width, and the bounds on the approximation error (e.g., see,  {{cite:7fc8760...
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fe2c81f43cd3652209ff6e73504cb936
Previous works demonstrated vulnerability of DNNs when the input is either an image {{cite:d4a92cb39b61075b7093c628f5c6da6cb4e3ad95}}, {{cite:7baa61b0d82776b9575f8005f7ea161c2c7918f5}} or a point cloud {{cite:c0a6606631255e1643fd2c12637e06b38d01055d}}, {{cite:757f43e85657267e7dce0cc7b9391fcacd51589f}}. Most point cloud...
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a655c3ad7ea15761475d8d93cb889d74
This research proposes an object detection model based on the YOLO v3 classifier for Smart Surveillance System (3s). Yolo v3 was utilized for this research because of its superior speed compared to other stable versions following recent updates. Compared with some newer versions {{cite:d9712015f7229106e29c9331606855049...
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009637ce08c679295df05a6e0b1db0c1
Relativistic fluid dynamics has been proved to be a successful theory for ultra-relativistic heavy-ion collisions {{cite:fbfdb24849b824167088beba9a5bc2d8f200346a}}, {{cite:2dcafc79ab1aa0d1f8d17aab64715567690ec34b}}, {{cite:a2a9b92296abc1bc5db2fd7b394accdde8f753b8}}, {{cite:8fc765fe9eddc0cc126b01f2981124612324bf85}}. Sp...
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1993284e2a3e38f6aed070bfbca6cdf7
This leads us to a conclusion, that we have detected a dark remnant candidate. Based on the masses we obtained the lens could be a candidate white dwarf, neutron star or a black hole. If the hypothesis of the dark remnant is correct, the mass of the object along with uncertainties lands within the mass-gap {{cite:82c28...
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[noitemsep,topsep=0pt] (i) Neutrino oscillations: Two-dimensional NH and IH {{formula:b74dd2f2-6d4a-408c-983a-b158931daf8a}} tables for {{formula:6c9ea194-f359-4703-a21d-5a4aaa46676c}} and {{formula:c5f32e08-5348-44ac-abcf-9808512ee9a2}} from NuFit 4.1 {{cite:6749e165d35e7fbde82f0fa3f30d491d1b72e87e}}. These come fr...
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There are several disadvantages of spectrogram based MSS methods. First, spectrogram based MSS systems only predict the spectrogram {{formula:3910df63-8040-441a-911d-39009ec1a566}} of sources, but do not estimate the phases of separated sources. Therefore, the performance of those MSS systems are limited. Recently, se...
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a6a21ea6bfb74dfc42ae6776473c30f5
In order to assess the performances of our system, we report the standard as well as the BCubedUnlike the classic version, the BCubed version of precision, recall and F1 score favors solutions that (i) make errors in clusters with already many errors (ii) make errors in a large clusters rather than in small ones. {{cit...
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e846c4fc469cc12b0d0a7db1b288c5ad
where {{formula:19c0ac3d-78fe-492c-9ef1-5fcba67a56ae}} is the `grey-body coefficient'. Notice that {{formula:5941da1f-4cad-43c4-996b-1677743b88b6}} is the reversible limit, when only an infinitesimal amount of radiation escapes, while {{formula:e2d2ce7f-14d7-4949-9157-f4b67c95d23d}} is the case with a trivial grey-b...
i
8eb6f897abe16b533d7173fd12dd242f
A first-principles band-structure calculation for 3-ML-thick Fe on Au(111) was carried out by adjusting the lattice constant to Au. At the initial growth stage of Fe on Au(111), this assumption is plausible through the proximity in the ultrathin layer case before the lattice relaxation to stabilize the bulk bcc structu...
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As shown in Table REF , our method outperforms all the other methods under most metrics. Particularly, our method improves the F-score by more than {{formula:47bf1983-4901-4abb-8aaf-8b36cc4322e5}} , while advances CD a large step. Surprisingly, our method even outperforms PU-Net in NUC, although it is not trained with ...
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As mentioned above, the proposal of our analysis is to study the vanishing viscosity limit for the compressible Navier-Stokes system with density dependent viscosity. The strategy adopted in order to prove the convergence relies to the issue of weak-strong uniqueness by using relative energy estimates. In particular, w...
i
bff3b5fcddbb5ee9ca0b8a73e2e0e8e5
A wide range of estimators based on convex relaxations, spectral methods, and non-convex approaches have been proposed for specific instances of GLMs, such as sparse linear regression {{cite:3ea37714e83e6eb5bbc00c1b3eb4339c23349caf}}, {{cite:d7c091c2a08e1c5e4d131c67edbeaaae5bc9d0e4}}, {{cite:66a8ccdfb915325d9d9081e21e0...
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14aaffff2d5c610048b7841e22e48e39
We have described methods for valid inference two common downstream targets of inference: the label prevalence {{formula:0fdbde7f-7d44-4bd1-9a1c-e99ec22e5db5}} and class-conditional feature means {{formula:074a899b-89f1-4fc1-a460-43fafeef632b}} . Inspired by our motivating example from TIRF microscopy, we focus on the...
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34797848e72f3ae168f3892c04b2023c
Although the average length of Line of Code (LoC) is 47 in all PyTorrent packages, we investigate it with more precision on a portion of the PyTorrent dataset for 66,528 sample raw Python scripts. The sample data includes 9,951,811 LoC, and the average number of LoC in each script includes 149. In this sample dataset, ...
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70eb89e06c951e73d10158aa7104ad75
We also note that the operator size distribution is a more refined description of the time-evolved operators than the averaged OTOC that we have presented here. It remains a question as to how and when the size distribution discussed here compares with the usual notion of the operator size {{cite:d82b91ad95f9316e66da19...
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62cdca8091aa6b35de817171fe2cc0da
Benefits of CAPD: A CAPD points out the most likely class. If a semantic space embedding vector of a class and the CAPD of the image lies close to each other, there is a strong confidence for that class. One important contribution of this paper is the derivation of the CAPD for each unseen class. Conventional ZSL appro...
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37d2facf65f2140431cca04a803c7d48
Cross-modal/multi-modal pre-training methods have been proposed: OpenL3{{cite:a51f0983d9ec4c148853b9eecb0423b0e35ba5df}} was pre-trained by using audio-visual correspondence as training signal. Wang et al. {{cite:9e366ee68fb34d1e617b2f6d5d566df2a33b46e0}} was pre-trained by using correspondence between video, spectrogr...
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The Evaluation of Data Augmentation Methods. The quantity and diversity of training data are of great importance to model's generalization ability. However, since there is no unified metrics, how to evaluate the synthesized image quality is an open problem {{cite:9403f58574f626ec86393ec03cb2867e11dea39e}}. At this stag...
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2c09494b4a863275ee4287b466e4d810
The first attempt to classify all the multi-affine partial difference equations defined on the quad graph and possessing CAC was carried out in {{cite:be993bfad5357685a12da3fb81bfe2a2086db431}}. There the equation on the quad graph was treated as a geometric object not embedded in any {{formula:8eb9e437-25f0-4307-a09d-...
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c650730fdbdc72079e5414f83c794fc2
where {{formula:b00ef2d5-a545-4ae1-9f8b-ad7074b37cb0}} and {{formula:f1ee8360-708a-45ed-b1ce-e3b1fad77d80}} are the measured and theoretically predicted quantities respectively. For the BAO data from {{cite:b08f7cfb7b5170b2f5712fce8ab638b951bd0c27}}, the covariance matrix C is given in eq. (19) of {{cite:0edeb3e0a02e...
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Let indeed {{formula:d9861cef-0f78-490a-8ab9-82f1694ac35b}} , where {{formula:95250d9a-96f8-4132-99a7-c68036ca4023}} are the Pareto-optimal strategy profiles and {{formula:94f07395-0582-41ac-ad6c-18f2789b83c5}} , {{formula:0bcccc29-94ab-4fff-96dc-9f3c25ae0548}} . We consider the program PLAY-PARETO specified informall...
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54b860dd243493db7622023a6ab05efa
All baselines and methods are clearly worse in predicting humanness than animacy.Performance for `humanness' is lower overall, with the F-Score of our best-performing method decreasing from 0.79 to 0.63. Due to space limitations, we could not include the evaluation on humanness annotations in this paper, but it can be ...
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407d977efdee108689c890e18968fd1a
The lens equation at the leading order in the strong deflection limit coincides with the conventional one, if the deflection angle {{formula:329f0b8d-394a-4a2d-905d-66da8a949729}} is replaced by the offset deflection {{formula:83077cd9-d9fa-4916-b244-9c8c968c2893}} {{cite:e45c6d00b676357f24c578e7c33163b401c36540}}. ...
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HVPR {{cite:f4c84dd73a8922b1389194b6f1e9f2bf0b3b98c3}} is a single-stage detector. It has two feature encoder streams extracting point-wise and voxel-wise features. Extracted features are integrated together and scattered into a pseudo image as hybrid features. An attentive convolutional middle module is performed on t...
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bc5a8bd198c0de4c0d7eb6a2446c5aac
A further point to discuss is whether the radical detected in this work could be an important intermediate to forming larger molecules. Although dedicated studies on the reactivity of CH{{formula:5b778fde-e0dc-4280-9599-0595951861e6}} C{{formula:137b3e46-ea84-42e8-99b2-0f804be3562a}} N are needed, our radical could pla...
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The whole architecture of the proposed DACM framework is illustrated in Fig. REF . Given the input support and query images, multi-level deep features are first extracted by the fixed backbone network pre-trained on ImageNet {{cite:213c7bd7c43a9a963b3e70fee3398d9b172b8f8a}}. Three levels of deep features with different...
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a257ca9667a58e2eea6897d01a6852c5
Several interesting results observed when mapping overlapping links between the cortical thickness and functional networks by lobar divisions need further attention. First, the approach adopted here was to compare the networks at a single value of network density. The advantage of this approach is that is maps only the...
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e16111fd26a11e9b2e46669de957507c
The test accuracy results are reported in tabel:graph-res. Note that the last two rows are reported results from {{cite:725d2e1283b99f1ebf33c66518ff7c613c98d3a3}}, thus do not have standard deviations. All the other models are trained in an end-to-end manner. Because of the highly imbalanced label distribution in the F...
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Quantum walks have been a successful tool used in many algorithmic applications, specially in search algorithms {{cite:4eb0512c7cb9bac45092e262b4a4853b2ee32daf}}. Another related problem is the task of performing quantum state transfer {{cite:6354fbfa9ee40dc1ed32bb3c39455936a2ec900e}} between two vertices of a graph, o...
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461d77cf6165b1cd3b44f5d76c6241e9
A saliency map is a representative of what the network has learnt and it is not guaranteed that the explanations match human intuition. However, it is observed that a network with a higher classification accuracy generally produces more intuitive maps{{cite:5ee506d4c156fc0c62e072be677d67d2b7793441}}. A desirable proper...
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Fig. REF shows the pareto frontier of HAO with respect to accuracy and latency. MobileNetV2 {{cite:1b4150b51e805284c48ec36ebfc2928a376c17f8}} is a popular neural architecture manually designed for efficient inference. The original MobileNetV2 is in floating-point format. To achieve a fair comparison, we quantize Mobi...
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Adding richness to the data collected in statistical learning tasks removes researcher degrees of freedom when trying to fit current models or theories that may be of insufficient specificity {{cite:b5e6ae080333f3c93250f41181b7859b3bf96875}}, {{cite:345dd6da89c64cf8c16896fe7183784775af831e}}. Our task directly collects...
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aba2d7c3093ea42044446cca5bfca1bc
This symbolic approach to the modelling and analysis of cryptographic protocols is called the Dolev-Yao model {{cite:523be4d8c1047bd89d31246faf7ee0b506d5e481}}. In this approach, messages are modelled as terms in an algebra. The intruder controls the network, and can see, block, inject, and redirect messages, as well a...
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f299a034861c562a958e5083b25dd13a
This operator and approximation properties are needed, e.g., to handle terms involving {{formula:5fbfa504-dc96-4785-a33d-8c005a9ac560}} . We mention that a similar goal of approximating non-smooth functions is applied in the context of a-posteriori error estimates; see, e.g. ({{cite:4ca17dce9c4e919c5ca5084ee02256cb512d...
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Robot navigation problems were solved by generating optimal trajectories from robot dynamics model. The trajectory optimization modules are based on dynamic programming, specifically differential dynamic programming and iterative linear quadratic regulator ({{cite:3c675236200dec807a2a1721b98bac2eb9c05d3c}}, {{cite:9f4d...
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The first method for computing the CEI-1 is to take the series expansion of variable {{formula:ec7bcfbe-65fb-4095-95d3-fde2389fd481}} . Actually, with the help of the generalized Newton's binomial theorem, we have {{cite:92af9628976c1aeba65ec5422bbedcf713887836}} {{formula:3b9f0baf-ab38-476d-ab54-3e382c4d3d50}}
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The roadmap to build the fully-fledged Qinternet has been envisioned in {{cite:035c9cff270d069dc1c0acd92e7d4f06b6832106}}. According to its functionality, six stages lie ahead. At the time of writing, the first three stages are in the experimental phase, and the trusted-repeater networks concept has the potential of ex...
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a5df2b4806b101fea519d450bba91b2f
[leftmargin=*] One possible extension of the results we presented here are explicit formulas for the maximum number of faces of any dimensions or also for the number of bounded faces. Explicit formulas for lower-dimensional faces are of particular importance for the combinatorial complexity of tropical varieties {{cite...
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We simulated an idealized HCI system with static phase and amplitude wavefront aberrations generated by an out-of-plane phase aberration. The system was operating at 1550 nm, consisting of a clear aperture, an idealized DM (e.g., no actuator cross-talk or quantization errors), with a 40{{formula:2e5c5adc-1ef9-4ded-b6d1...
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On OTB2015 {{cite:1c59cfda7aef92c1b93e35e804158df1c923191c}}, we first compare prior methods designed for dense task only. Table REF shows that ConST-CL outperforms the evaluated methods by a large margin. Specifically, compared to VFS {{cite:adb095ddf72828849d9e6490ee54082618698c85}}, ConST-CL achieves {{formula:c1a2...
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We explore the results of running CHAMP on community structures found in various network data sets. In Section REF , we consider a network of NCAA Division I-A college football teams from the 2000 season {{cite:e44d99944958d0f5b1ed65f51db89c385813e231}}, {{cite:cea8f0ad7c897c0abb190544bce8572c1306f907}}. We then look a...
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25ae8b70b6d5f12a59d79c874b6af279
Regarding (REF ), the first named author {{cite:90ac46c4394cec0d5c56ec81f4ed21943d7a4e88}} showed that (REF ) holds for star-shaped domains with {{formula:e99ed747-51b9-4579-91a7-d08def1ea5ac}} -mean convex ({{formula:8799c698-27f0-44c7-b2b4-82d033c96f12}} ) boundary, by using the smooth solution to the inverse anisotr...
i
415085d4e7f02e9b7274296fe01be68b
In CM2-W1, only {{formula:70e662cf-4bdd-4017-8ffe-58b2bf295844}} features with {{formula:d2bfdcf4-9db8-41bd-b7e7-e6ec034b6ac0}} {{formula:2509ecea-cdc0-4bf9-b7c0-dbaf938d9432}} km s{{formula:fa483419-e519-4a36-89a5-3773d0aec420}} were detected in the early epochs, before and at the onset of the accretion burst. In...
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40fa9e216aaf9a967368a4a6bf2ece0c
Solitons, fascinating nonlinear wavepackets localized in space and time, can form in nonlinear media and propagate over long distances without distortion {{cite:e9481dc4a1452b65f378e33b003c0a0be598951a}}. The underlying physical mechanics for the formation and stability of solitons in conservative nonlinear systems is ...
i
753c349d38a61485a3688f20a4a3b87b
Filter methods employ some measure of dependence between a feature and the event class to rank the features, and retain only the top ranked features. As the measure of dependence, various statistical tests, including one-way analysis of variance F-value test, sure independence screening, mutual information, Pearson cor...
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The last two decades has witnessed the rapid development in the field of quantum information and strengthened the notion that entanglement is not only one of the fundamental concepts of quantum theory but also a key concept for transmitting and processing quantum information {{cite:52c5a77c19efce71b349800d936b9a7828cc4...
i
97cc33683ec5679a9b58b41fdbb0f464
eXtreme Experiments. We now present our empirical results on eXtreme multi-label datasets. Our experiments are performed under simulated bandit feedback using real-world eXtreme multi-label classification datasets {{cite:817428a99366e240f1c8a2bcf602510e00c11b92}}. This experiment startegy is widely used in the literat...
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Equations (REF )–() are solved numerically following a high-order spectral approach which is outlined here. More details on its implementation and validation can be found in {{cite:320bf98527fa2797b73936b5afccf7373f66fdc0}}, {{cite:b6c05f03001c57a3b5e4f54189a2b7ff34f65b8e}}, {{cite:e6cca12c8c1a61852f33cec5dc874c5c6fc2b...
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908cbe589fbd634972e27f0df6ac21da
Quantum computation has been evidently demonstrated to be surpassing classical supercomputers in the near future {{cite:c36230b07f4e66de7a12c7766c5d520f2819a7e9}}. Towards large-scale and distributed quantum information processing (QIP) {{cite:50d306361da733dcc3088f859df8f7eb7d823bf6}}, the efficient control of network...
i
58033c8e9c6b20fea6320451e2b4cc2c
We have made some simplifications in our simulations, and there are some caveats. We have assumed that the jets are uniform on the emitting surfaces and have sharp edges. To compare the simulations and the observations further, more sophisticated modeling is required {{cite:af9f3551ec6d852b5cde5e5a31c56b16ce2989c8}}, {...
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16d70b75a5a08d8be1c393108fd4b96e
To address these issues in the context of this work, in this section we generate a suite of mock dust emission models to quantify the accuracy to which we expect the dust properties to be recovered from our fits. Again, we assume that dust emission in galaxies is isothermal and optically thin, and it can be described b...
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8a81116ef6a7053b50b47e573cbdb4e1
Instabilities of Si6 are measured via direct beat over a noise-cancelled optical fiber {{cite:b184e11c2a1864d8f982ba9c5dcb600f6576264b}} with Si3, a 21 cm long silicon cavity with dielectric coatings operated at 124 K {{cite:93294d69fb8534fbdc38f871ed990588a9d5eabe}}, {{cite:cd80d3ac9c390fa808e406d67896ece067f2acf8}}. ...
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e25b309a7aae022285d8aded13446544
We now evaluate the effect of correlated/i.i.d channels under traditional/generalized fading with phase errors on the performance in the investigated scenario, as well as the goodness of the proposed approximation for the equivalent channel in RIS-aided system. For all plots, we consider a RIS network geometry as in {{...
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eacc922d9f11f3fe063105671094ae5c
The newly emerging coronavirus, severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), has spread rapidly over the world {{cite:9d7f1842e62a4c6cdf7a334e670a6ab27eeb05d3}}, {{cite:c5ab76b0c43b4d126056c4dea13ee59b001b5405}}, with more than 22,000,000 cases of coronavirus disease 2019 (COVID-19) and 790,000 deaths ...
i
073efea409915d7fc81339b1ff278a3b
We remark that RCD methods have been shown to exhibit linear convergence rates in the strongly convex regime {{cite:86ca4695b04b7498887cd5240febcd5816cf09d3}}. Such fast convergence is, however, not to be expected in the presence of linear constraints. While strong convexity of the primal objective ensures smoothness o...
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4637581c37fd5b40eb04ada85cf79e22
Depression prediction.   We find that among all combinations, the FW combination—representing the combination of the individual - physical health and individual - well-being (W) edge types—is the most accurate in terms of all evaluation measures (Figure REF and Supplementary Figure S7). In more detail, the FW combinat...
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af13488dc062104c8af6664865ac910f
Its spectrum is depicted in Fig. 3a of the main text; due to the no-crossing theorem {{cite:51fb03f0df7fa99403a4bd4e3cb38130a6015f67}}, it only shows avoided crossings. On the other hand, the half-filled odd CP symmetric sector only has one basis element, namely {{formula:2e51fdec-41e1-4383-a0b2-079408c7ad0f}}
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5bb3c4d1e025b7cb690d58572b63a128
The entangled pair source {{cite:7baa19224f5ee6ad844ceb7f79c594407ca12793}} is displayed in Fig. REF (a). A Ti:Sapphire laser emits a beam of pump pulses with wavelength 775 nm at a repetition rate of 80 MHz. A small fraction of the beam is picked off and sent to a fast photodiode (FPD) which sends an electronic synchr...
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Traditional voice conversion (VC) aims to modify one's voice to sound like that of another while keeping linguistic content and emotional style unchanged {{cite:1da4d347052c9130d728dafa3f10456f6eef131b}}. VC is an enabling technology for various tasks, such as conversational assistants, cross-lingual speech synthesis {...
i
8b52497cbecdaf5bedd148b15bf74f51
The quark and lepton sectors of the Standard Model (SM) are interestingly similar, motivating one to hypothesize a fundamental symmetry between the two sectors. Such a symmetry can be found in many grand unified theories, such as grand unified SU(5), Pati-Salam models based on SU(4) or R-parity violating (RPV) supersym...
i
f9e2da867e2a379a49ff55bba6116203
The new interactions between the SM fermions and the physical states arising from the introduction of a second Higgs doublet imply a richer phenomenology than the SM. This is further enhanced by the new free parameters and couplings in the general two Higgs doublet model (GTHDM), also known as type-III 2HDM {{cite:9199...
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b33c30ea0e7923e146ef0b77c3afd6c5
The primary contribution of this paper has been to develop a sample-optimal paradigm that simultaneously overcomes the curse of multiple agents and optimizes the horizon dependency when solving two-player zero-sum Markov games. This goal was not accomplished in any of the previous works, regardless of the sampling mech...
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2345265f8299492eb877459d9cedc077
E.g., in the Newtonian singularity case, i.e., for a point-like static mass source, many types of higher derivative terms remove singularity in the modified Newtonian potential. This occurs starting from the simplest fourth-derivative theory with the action composed by (REF ) and (REF ) terms {{cite:8cf317d917aa6f62379...
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d8313c6a0d038dd6ca0e0fda495cc27b
Han et al. 2020 {{cite:6ffeb5d58fba8458cd0516a61dbc6adb5bc1bc51}} Conv Rate 69.40 512 2.048 1.43 729.77 5.42 8.07
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f123ad9fa4c1ed16b07989d7034eddee
In our analysis, we assumed the Clifford circuit in the classical shadow part is noise-free. If there are noise in the Clifford circuit part, it can be mitigated if the noise is independent of the Clifford gates, as in {{cite:72a6fbb5d297fdcb4c66c986bd67346ad54bb18e}}, {{cite:9a9fe7c783b85a64e56fd6a6d5ace4932a843870}},...
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2ee02dcc306a9080a9b64360fa5c00e7
The mean field game theory examines systems of identical players those interacts via some external media. It was proposed independently by Lasry, Lions {{cite:3847037d271ccc239e98a9c9038c0b9a46a5051a}}, {{cite:b45956d2e5a2d0d27720fc1f52005399f4c5be17}} and Huang, Caines, Malhamé  {{cite:9ec7751e531bb667efb90f03728c3f8a...
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