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where we used Leibniz's formula twice as in (REF ) in the second but last line. Again Faà di Bruno's formula, cf. (REF ), is applied in order to estimate the derivatives in (REF ). We use a special case of the multiplier result from {{cite:b8b272d24ded7c4a18c4383c9ac877e65038026e}}, which tells us that for {{formula:e...
r
09ab302664a47181866cb87edc4d6188
There are several state-of-the-art methods similar to the one proposed in this article as they use multiple attributes describing the aesthetic or artistic aspect of a photo for aesthetic evaluation {{cite:efceff584ef7ad5f85a95bf3b95d62f7d445364e}}, {{cite:60311c86d504423871da0024cdab611d90bd8b97}}, {{cite:a73b1e01b822...
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2751637f99866254aebe11919e912651
so that Equation REF holds under appropriate assumptions on the set {{formula:2e092fa0-6582-48cf-a130-530269fd4272}} . Equation REF is analogous to the propensity score from the causal inference literature ({{cite:1e27d6d9cfbc9a533ce6d85eae3a9851f6c1ba50}}) and Equation REF would correspond to the weights for the a...
m
f321aaee0a1241592f76df7b5268b679
On the other hand, to fully explore the ultimate capacity of MIMO systems, the concept of continuous-aperture MIMO (CAP-MIMO) was proposed {{cite:5f7cef794db898aba05ee35d3a743398571884be}}, which is also called holographic MIMO {{cite:fc35677172b11fc60f84c264f9e830df2641288a}}, {{cite:452a682a3eded4f2da2bd996066ed1254f...
i
2c789326bdb77d0611bf94e511742bba
For the di-{{formula:483bd815-59ac-409b-a771-0774a5af93c6}} spectrum in its production at LHC, the experimental information is still lacking. We thus adopt the similar production relation as in the di-{{formula:b6f5b9ea-e85d-4e1b-80cb-54c12300aee5}} production {{cite:d2e3c7bc43c3ea744cdad6e258af77f89c9c3489}} to inve...
r
fa68e79347d88091e95088b3c0d953a2
However, several approaches have been proposed to investigate how to improve the accuracy of approximation. For example, in the framework of numerical integration, we refer the reader to {{cite:15c80d3beb24ea93e4265fe2d6dfd330723d6872}}, {{cite:11e705648f4ed93ccf3eda71a1dd8c45e1187c83}} or {{cite:e6162e1a97919c6de67d66...
i
7bd0983dcb7e105f19446ae411692ff0
According to {{cite:a735dcaabc7f3c545d3ee3f7512728436e8f3681}} (see also {{cite:9cad80144b7973c1132d9ba3d7648e3d303983ad}}), if {{formula:b83fe47f-5ef5-4385-8b56-2c537b50df7b}} is an {{formula:2df7c822-3e2a-40dd-97d9-f302b22d1793}} -valued Calderón–Zygmund operator on {{formula:b6f55547-6e33-42eb-8f9a-7dd9aafe06e5}} ,...
m
a0e408177518e7d57058d11c8f535a8c
Meta-learning. Meta-learning is also known as learning-to-learn, which trains a meta-model over a wide variety of learning tasks {{cite:aa7dfa2d5fe4f38c9e6ef1598fd1a819f238d484}}, {{cite:d5c44e6c54d6ffd892cd79d879941ab43a97f097}}, {{cite:a5495ef890a55fb2a48c270e375d6de30e436627}}, {{cite:5c0d7c6238cbc8e3916c7805fd9404f...
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1283039c19c517b853031d5a4df30365
Next, motivated by island models, we considered two regular graphs with the same total number of edges and we showed that the corresponding fixation probabilities are asymptotically different. In particular, as the population size {{formula:461710e4-cbf1-4a2e-aad0-5be426a0adaf}} increases, the fixation probabilities d...
d
64758466e0a312783971fa68bbf0a98c
In this experiment, we study the performance of spectral clustering for image segmentation when using different numbers of eigenvectors. We consider the Berkeley Segmentation Data Set (BSDS) {{cite:d4914d28c215b2d2d6c4bc729f885ed48188fce0}}, which consists of 500 images along with their ground-truth segmentations. For ...
r
74483e38054d4b98c18d4de80ac0c8db
The purpose of this work is to present some progress on these two questions for various choices of potentials in (REF ). In the first part of this work, we focus on potentials with a finite number of terms, and for various examples we find a closed expression for the planar free energy {{formula:84a99e0c-9d00-4b17-8618...
i
a9363054cf19d33a2effc6f73010502c
Patch attacks against road signs are less effective than previously believed. From tab:synvsrealavgmain, a 10”{{formula:cc675e3b-1dd7-411c-9121-3cdf3d7c2258}} 10” adversarial patch only succeeds for about 18% and 25% of the signs (between the two models) on our realistic benchmark. Even though we use undefended models ...
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7180eef9c6a243688bdd99500776b6a0
Let {{formula:af4b568a-a87b-407e-9e94-9267f4d8333c}} be a maximal normal subgroup of {{formula:52cfb29b-9a34-4f77-a932-745e6f29dbab}} . Since {{formula:984f43ce-9cf1-49ab-ab6c-4e3dea50a638}} , we see that {{formula:36da9918-68a7-484d-a9bc-4e94b1a12872}} is perfect by our earlier remark. Then {{formula:aef5f7dc-fd59-4...
r
c843458886ec876dade4c11eca54842c
Currently, one of the scientific directions of nonlinear dynamics, fractional dynamics, has received wide development {{cite:06ed8218f8e1dd6e47dc452d281245fca980f221}}. She studies the hereditarity properties of dynamical systems. Hereditarity (memory) is a property of a dynamic system in which its current state depend...
i
73fa63de19c2153a4d1713bdcf224383
To perform this work, we focus on the quasi2D case where high resolution experimental imaging is possible {{cite:aa2c1182ec1e4d719a84b099e17e328229286fe9}}, {{cite:7c38dc24e7d56323c1b3b6856d141c1b9929c9d5}}. For clarity, we will focus on two examples: one is miscible and the other immiscible, both far away from the tra...
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cda2acbfe01c8b0cf73936a0986a1f14
In our spectral analysis, we can estimate the inner radius of the accretion disk (R{{formula:84406d0d-cfcc-4b62-b29c-c5ab2ff47ac2}} ) in two different ways. The relxilllpCp model directly provides R{{formula:55b0f24b-25d3-4b9f-a069-2707e2955a6c}} , which is found to be 14.78{{formula:2ae695a8-8654-498e-8b0c-97d6095d07f...
d
9b2320d16d1a479c912638684d537a3c
One-shot approaches stand for communication-efficient schemes where workers and master only exchange information at the very beginning and the end of the sampling task; similarly to MapReduce schemes {{cite:3c9470b135f2aa732e9babb90443fafae85ce02a}}. Most of these methods assume that the posterior density factorises in...
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893b6a64fc8855a54bd3c75c99731955
In this section, we show the number of operators and quantitative results at each level, for objects shown in Fig. REF , which are samples of the ECSSD database {{cite:38a9d1b70818176630cee705bdfd17ac5f993621}}. To show the efficiency of our method, in table REF we show the number of operators for a single color chann...
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2538ac32964e83fdc89d219fb6d53ead
CycleGAN {{cite:9b3b28e543b40856a44695d27fe500120c313a1d}} and UNIT {{cite:ffc92e445281a5702f502a65d2cf2c75e3469bdd}} are the typical unsupervised I2I translation methods. MUNIT {{cite:3ed8ca915945d716989d2e89571d2d2f280955d2}} and DRIT {{cite:9b3ddd5aa63a7f4eea0021c52ed9b2d2f977f1a7}} are the multi-modal unsupervis...
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1064a8e66b8b6a69583f91b2a59a3ef9
We again note that the certified and clean accuracies of our networks are comparable to other (norm-based) certified training works {{cite:558aaaf262f9913898c1a909e57803d6c21de133}}.
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9f6a78976be65fc7f955d16199a2c0d5
Also this kind of massive theory are helpful to understand many planar condensed matter phenomena. As pure CS theory is anyonic in nature, it is very useful to describe phenomena like fractional quantum hall effect and high {{formula:9303cccc-d15f-413c-ac95-f90fc6a3938c}} superconductivity {{cite:18c2563f9ceb62c264300...
i
e2575e53a8826497929e0e481a4bc863
The final product of OHN model is the spherically symmetric ultra-compact horizonless object composed of homogeneously distributed matter with infinitesimally thin crust. The equation of state of the homogeneous matter is {{formula:0d8f29c9-0df8-4266-a2dc-0f3bfcaeff01}} , where {{formula:133efde2-8309-4352-aef8-8e35440...
i
7622b7485db6595450eb6df6efd62673
In {{cite:59ba93b55074c172de3a27004d76431d6d4a2143}}, the binary vector has been adopted as the architecture parameter. However, state-of-the-art architecture search spaces, such as {{cite:b9b60e3405788fccbabd05da897748853da56570}}, {{cite:3f71d55fedf61832070c3d643f6ba81566a0b631}}, are defined using categorical variab...
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ddf50297e848b051067412addd7ca6fb
So, we face with a choice what the symmetry we want to preserve on a quantum level. Whatever the case, the dependence of the effective action on the Killing vector cannot be completely removed. The imaginary part of the effective action, which is responsible for the Hawking particle production {{cite:8849c7572010dacd3d...
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841b545e2d45ab49c2b08ed2ae12bb6c
Comparison with metric learning. Table III shows a comparison of the LOVO loss and other metric learning methods {{cite:c06da6a1e1541e3fded27f800394c7bcf42846cc}}, {{cite:43d81e1434a131825873b685ef7038cc181820b5}}, {{cite:8f37db8b66ba0e9873885fd70d40c8446058630b}}, {{cite:a2f045540474f608aed875277a7b7d543adf844c}}, {{c...
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a57b1b42e598a1f1fb4e103c57cbd474
The position of the highest particle {{formula:8d9fe5df-e94f-40b2-882e-fddab4142d1f}} has been the subject of intense studies since McKean {{cite:9b64fbaaea1737dfa3f1e4ec518d48707ff14819}} who linked the distribution function of {{formula:7b1a419a-37a7-4e05-8d33-eccf5df0b599}} with the F-KPP partial differential equa...
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a2da2702f2b72244329b69abb1bddc99
But surprisingly above 10 a.u. of heliocentric distance the systematical deviation of experimental and theoretical data was found {{cite:e8d47c91f6ca0f994ba1bf20606ed9f30bb3c35d}}. This deviation can be described simply as a constant acceleration towards the Sun with magnitude of about {{formula:9a0cca1e-f4dc-422c-9a87...
i
23a66ab1838f46a55864a64ebf3d1d32
Twelve Regge trajectories are constructed by fitting three states and four Regge trajectories are obtained by fitting more than three states among sixteen possible convex Regge trajectories. Same as the example discussed in REF , twelve Regge trajectories obtained by fitting three states maybe arise from the insufficie...
d
3ac0cc8efa1f8225d44526d73ad8df65
In fact, the perspective of inexact Newton procedure may provide potential inspirations for developing more efficient sub-sampled Newton methods. For example, {{cite:d7b54813e58503a7e49c7a870abec9e7fbb3ccc6}} proposed use to conjugate method to solve {{formula:7583d279-3e34-477d-b75f-5eef98e82d5a}} approximately, wher...
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7de59fbd703eadb0d7cb0c0901eb8e8f
While our results are encouraging, we believe that significant improvements in learning can be achieved through improved network architecture and increased depth. As was demonstrated in {{cite:477f6788d4fa9d49b1c2045737924eeea2822c7c}}, network architecture has a significant impact on the performance of deep networks. ...
r
237eabeaa80d50a9b84e879fd0b5e3bf
An alternative determination of the LO-HVP contribution stems from an ab-initio calculation in lattice QCD {{cite:a364d93874f7bf308f81208df575caf4efdaf862}}. The latest result from the Budapest-Marseille-Wuppertal (BMW) collaboration {{formula:8a60c11f-a3e6-4dac-9830-45ec11a60e4b}}  {{cite:144b4543cfe3e80ebf7b678f79534...
i
bb5c8e43d5aae77c1e3b9fc3c98a8650
The introduction of stochastic modeling principles for geophysical flows has been a focus of great attention in climate study, meteorology and oceanography since the seminal works of {{cite:a67484ad3d21cd1e4b417c05f467d31065c1aa92}} and {{cite:5b66dc49b375f04bda77838fe60c8c31fb523fa5}}. Most of the schemes proposed so ...
i
9bb8ae594cc36cd9e09f0e54902b5e87
Overview. In this section, a novel multi-modal video summarization method is described in detail. The proposed method is composed of a contextualized video summary controller, a textual attention mechanism, a visual attention mechanism, an interactive attention network, and a video summary generator. The flowchart of t...
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5cc8cd5054f6770ccb983dd73e8a227c
Inferring the location and properties of underlying latent events is often of scientific interest. However, this can be challenging from a statistical perspective, since neither the number of latent events nor their locations are known. Traditionally, inference and estimation in NSP has been approached with RJMCMC algo...
i
0e78ee6dfc2349491c7780057f16ade7
This section describes the proposed unified generative and discriminative approach to ACE (Fig. REF ). To tackle the frame-level ACE (Section REF ), we formulate a probabilistic model {{formula:f5ca4927-007b-49a3-97bc-e05f8558add6}} representing the generative process of chroma vectors from chord labels and latent fea...
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c083c93f215f840c315bd2792096ff1d
Motivated by this example and returning to the abstract setting, we equipp {{formula:88940b99-cd9a-423d-ac39-cc83b22c9fef}} with an abstract Banach norm {{formula:9ae41164-f463-467e-ad2b-724b2c16990f}} , the space {{formula:8eb81bbd-d043-471b-b834-538c5a846e8c}} with the graph norm of {{formula:2f539177-cf2c-4adc-bcd...
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254930d97493334e22bf89d29b1f1e93
Extensive experiments with models of up to 110B parameters demonstrate large performance gains over standard data and model parallel training strategies. Our approach also matches or exceeds the efficiency and performance of previous sparse expert approaches {{cite:a3aa38b83990b6a94489266d3208580aff9873a8}}, {{cite:1b2...
i
c8157f04391a6bb03cc9871762d8b920
To demonstrate the effectiveness of our model, we compare our segmentation results with the state-of-the-arts (SOTAs) methods on three referring segmentation benchmarks utilizing relevance filtering as the localization module, as shown in Tab. REF . It can be seen that our model achieves the best performances under IoU...
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94e87ec9f60b4b918ff7b7f528fd82f2
Table REF summarizes the results of our case study. For the accuracy results, statistical significance is determined with the Wilcoxon rank-sum test {{cite:8002497cd78474155050e5cb8a75aaba74a083d2}} due to non-normality. For the efficiency results, statistical significance is determined with an independent two-sample ...
r
61849f0896750c423dae3e76ad0c69cc
Another unavoidable error contributor is the noise appearing due to the low level of detected intensity. WVA is performed at near orthogonal pre and post-selection configuration which reduces the intensity of the post-selected beam significantly {{cite:175f9ee3b56bddc3e1771bcd4c8e0608e27060f8}}, {{cite:d6ff6dd1fdef7a3a...
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e0a0f60bd49a54f08602cfb56acb653f
{{formula:2f49cf9a-0579-4e8f-8a8f-0af7c363c3f0}} -LaYH{{formula:b0dbcd3e-2753-4430-af97-0bf3be2275c9}} can be regarded as a compound based on the {{formula:0c878857-6f06-47f2-808b-ef2aff607b40}} -YH{{formula:90831901-8fae-4ca4-8f83-c3a72786872a}} dimer with La substituting for one Y (Fig. REF ). The {{formula:5e63fd...
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fe3bce45f5fd2035bf8d0dabe35bb0c1
There is strong evidence for dark matter (DM) comprising approximately 85 % of the matter in the universe {{cite:b02d1857d355f75704bdac70853bc7f40dea2432}}, {{cite:a64b0bfc8bcec7358c38d68cae08d8ef7233a2ea}}. One possibility is that the dark matter is a weakly interacting massive particle (WIMP) {{cite:a985bd58bd7726596...
i
649949de7f10fef5cd022af17fad5867
We shall argue that these features can be naturally unified within the framework of the Page curve and Page time {{cite:2f534c96cd1ca7e78fa81a1b2815500c4ab21ba6}}, {{cite:069ecd0891b9997c2f33f3fa1cc24edbd479d2db}} assuming the entanglement between the brain states and time series of neuron excitations.
i
0c4a2c3e41facc76739b94f1865c641a
The neutrino is a fundamental particle and was first discovered in 1956 by Cowan and Reines {{cite:ee49b9c5510a2057bd8a3941cb57c93e433d0139}}{{formula:f6863ec3-2020-4e38-bd03-cf298ef8c068}}{{cite:f1f7bb65b26cfe941873d54c39e7a1508a747571}}. In the last few decades, it has been proven that the observed neutrino oscillati...
i
edaefef4f1f886f3ed73b3d7b21670e6
Lighting estimation has been investigated by direct generation of illumination maps {{cite:6df60d6eae730edb8ce4407902029e089aca766e}}, {{cite:d6a4e4fb530f89bd3734c224da40ec57f6168a3d}}, {{cite:9e4c2cd1e10dd696a35a291977c3705a57379624}} or regression of representation parameters, such as spherical harmonic parameters {{...
i
2ce2ca3178f9552cb73bf82265c837a4
If {{formula:41b20552-64e7-440e-9bed-9169af020102}} are linearly independent, then there exists {{formula:b3507527-f8e2-4268-be9c-13b8b03ab538}} such that {{formula:93b12d9e-5471-42dd-8eac-20c57cb422d4}} where each {{formula:a698f3f0-fe3f-4d96-8f08-72e42d568278}} is a linear combination of the polynomials {{formula...
r
2006ab174aec1e781f4dd16112b07055
In this section, we briefly discuss how to directly apply the results from {{cite:a6430efba53d4ba0f7b1f24a72f3e45c2339d493}}, {{cite:f5ca8d64fb9f964b4ae83c29d2c9de2198895ce8}} to obtain Theorem REF . First, we match our notation to those used in {{cite:f5ca8d64fb9f964b4ae83c29d2c9de2198895ce8}} and instantize the conve...
d
e37a9d89d6540ea8e08529c54fb865c6
Experimental implementation: Rydberg wire gates introduced above can be implemented in optical-tweezer atomic systems, which have been previously demonstrated elsewhere {{cite:11770925f9bf0bbc292e9d456ce415244771066d}}, {{cite:20880537668044d0f2a17549274ab5701cff17b1}}, {{cite:c21a3247b41885c4684bb843a9a8255fbf041b9c}}...
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7ca656aa26ae7e60ae2ce5786b05f677
Lemma 8 {{cite:f4dd03f18d9cce5b6dda77abff430e65309441b1}} Let {{formula:50dd64bc-7101-4718-be34-57bf121ece7b}} and {{formula:f1be7a46-bb0c-40d9-8339-4138670eb9e3}} be two vertices of {{formula:0406ce03-ef86-4d25-81d2-630311eacfe6}} . Then {{formula:e881780d-8446-49dc-899e-a448bec4f590}}
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f87eea36c5a995325a4289dcfbf9b6e7
Efficiency analysis. We also examine the computational complexity of GPR-GNNs compared to other baseline models. We report the empirical training time in Table REF . Compared to APPNP, we only need to learn {{formula:cf3669b7-0362-4e1a-a9d3-215b285a0081}} additional GPR weights for GPR-GNN, and usually {{formula:28ab...
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f8f7dce27cf8c16e093b56aafd9833e6
Limitations. The strength of our analysis is based on real world data during a massive surge in our facility where ventilator capacity reached fullness. There are several limitations to this study. First, the results cannot be applied to other disease states such as novel viruses that may arise in the future. The model...
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fed8ae340c19d8e789fdc2a04b347d1e
fig:overview-scenarios presents an overview of the papers. At the top, papers are represented as a UMAP {{cite:9177360a9f90ccad032c8daef9a41fa68dcaeaee}} 2D projection of their coding and colored by coded scenario. The UMAP projection reveals a clear split between two clusters. At the bottom, the average coding per sce...
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c31fb8922629d4977e04d6ad78ed1924
Multi-orient Box Matching. Compare to DETR {{cite:656f41e41409c119766a32707766d16d86279378}}, the difference is that we propose an angle prediction and corresponding loss while only horizontal boxes prediction for DETR. Let us denote the ground truth set of objects by {{formula:e7ae533b-a367-42b2-b01e-a8425f014a6f}} , ...
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1442df2afd18b902dc0e7bbed06dff8e
We also provide a comparison of our frame-level detection performance with existing methods in the literature. As shown in Table REF , our proposed method with the BiTraP trajectory predictor outperforms using stacked LSTM as predictor as well as both previous reconstruction-based approaches, the Conv-AE {{cite:e061019...
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5721c742e37f792a98e44cec1639a664
In this paper, we presented efficient methods for Whittle–Matérn Gaussian priors in the context of Bayesian inverse problems. However, the techniques developed here may be of interest beyond inverse problems in fractional PDEs and Gaussian random fields. Several extensions of our work are possible. First, while we focu...
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4ba84a800135b30a1436bc9f18b80e4f
To compare the results obtained by the original version of ML-Constructive {{cite:0aac7a0ad727f6983d34b9651b62ecbaa666787e}} and what it is proposed in this work, experiments were carried out on the same 54 instances selected by Mele et al. {{cite:0aac7a0ad727f6983d34b9651b62ecbaa666787e}} from the TSPLIB library {{cit...
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The forecasting of low-level representations like landmarks or facial action units has been recently tackled with deep learning methods such as recurrent neural networks, graph neural networks, and transformers. The usage of such deep and data-hungry models has been encouraged by the recent availability of large-scale ...
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06cab15671a715174f4ef9d8ab093a1d
There are situations where we need both an explicit density and a flexible implicit sampler. For sample evaluation, it is not enough to merely distinguish samples from real to faked one, and one may also expect to provide fine-grained evaluation on generated samples, where the energy values given by the explicit models...
i
310117ac9d65189e97ab2ee61e9e31d7
Imputation settings. To investigate the impact of different imputation methods on prediction, we selected a wide range of methods based on their popularity in previous research. List of the selected methods and their description is provided in Appendix , Table REF . Mean, Median and FeedForward are selected from a sing...
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1caddeab62034100d5612c02ba7b4183
where {{formula:169af54e-f141-4d57-9c37-7d50da7556b0}} reads {{cite:c28ee1068f9c7c61e8d6ec0083e49a168a152df8}} {{formula:f3b46d53-8672-4edb-9b43-0e4be8ebc74a}} {{table:710d57b5-43d8-4288-8fce-0e3d050f3335}}{{table:702a5401-22dd-4d85-b1ad-1e103efe933f}}{{figure:aea1b531-cbd8-4e45-83f7-9373b4ac6cb5}}
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1b948cb45adfad9defada57582452ae0
Let us now consider the incorporation of a soluble and non-volatile cosolvent, i.e. glycerol, to the aqueous dispersion. The drying process leads to a gel phase saturated by a binary mixture of water and glycerol. This results in a combination of the pressure flow component (REF ) and a diffusion mechanism{{cite:a03e26...
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0031ca7327044beb00012928a3d8376d
To see the effectiveness of RényiCL, we conduct additional experiments for fair comparison with other self-supervised methods. MoCo v3 {{cite:28783f4fa348326aebd1cfcfebde1ee176fdc5d7}} is a state-of-the-art method in contrastive self-supervised learning. For fair comparison of RényiCL with MoCo v3, we apply harder data...
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9cf10b599ce83d52018e373e42791804
The proposed model is based on Federated Averaging (FedAvg) {{cite:9b65f5f2c71a20a636d8fdbac868aef1238392cc}}, which is one of the most widely used aggregation algorithms in FL {{cite:269211f3b2d68d5ee95a6b413f33e2c18df2e9a6}}. In FedAvg, participants receive the latest global model from the server, update the model us...
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0adefe8246de4b576a0e1d5e74e70ec0
Training loss: Following previous works {{cite:66a7384e36487b3e68ada22d556b9f0d03986b75}}, {{cite:4d93a246d8b0b1eec16277242ba8c480d3ff53e2}}, we use a scaled version of scaled version of the Scale-Invariant loss (SILog) {{cite:dc4d317e72a5c1e0265e52136f6393c594e129bb}} to supervise our network. Given, the ground truth ...
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07c0dc4611dedab5ab0a6a39c3ed49ec
Due to the intrinsic nature of the {{formula:27b28e53-8000-4a45-8af6-92c1bb5f6159}} -advection equation, mass conservation is not guaranteed {{cite:f4751d9c4e3456e2d9ff9ddd2166449b6f8e4fa1}} as the required numerical stability requirement of {{formula:f75becf0-c6eb-4664-b968-d81487963c81}} is not automatically fulfill...
m
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Our argument will be extended furthermore in several directions. One direction is to use this kind of singular but invertible transformation to find new modified gravity theories such as scalar-tensor theories. Some of degenerate higher-order scalar-tensor theories (DHOST) theories {{cite:8b8244fe16b4687ef049a8714f43ce...
d
65ba34eec0c42997c144534d23ab1b08
In the direction of Cygnus OB1, a gamma-ray source MGRO J2019{{formula:f70eb0a9-c44c-4a6d-b0a2-0687f48a0341}} 37 was discovered by Milagro at the median energy of 12 TeV with a source extension of {{formula:ad148445-4422-4af5-9f07-4c827d759d88}} {{cite:f79cd5e12e8403a08ecc11ce0c33be0a44ba6379}}, and this source was al...
i
9a64e240cf370644cb549a4a2f793181
The question is how to incorporate such semantic information in VQA. Traditionally in linguistics, semantic information about a verb has been captured via so-called thematic or semantic roles {{cite:d54a0cce4cdf36cfa99ad05a5f66bba14e31a145}}, which may include roles like agent or patient as encoded in a resource such a...
i
e57019a304422a481e38adabbda04c05
A graph state vector {{cite:62e11d0de1efc84e2a6cda54afe8f561d8ed5439}} {{formula:b2aca097-fc74-4384-9a05-11650bd9e9d6}} is defined by {{formula:329dc01a-320a-4152-923d-ac25d2109b30}} qubits in {{formula:092e4abf-7194-4b9c-b5af-75d372568c86}} entangled via {{formula:0a482b81-1a19-44b9-8474-78f63de8f69a}} gates for e...
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tocsectionReferences Appendix Asymptotic Variance To state the asymptotic properties of {{formula:9345278d-4844-4693-b650-ef9593d7fa95}} , let {{formula:c6518457-6274-4a44-b64e-9adfbbe6aa14}} be the individual's contribution to the estimating equations for {{formula:18a7ab5b-687b-4ea0-b5cf-3e155c2aaad8}} , {{formula...
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For the baseline model {{cite:09975148cc9a41e7a796f23dca85f3b175833ade}}, we obtain an accuracy figure of 44.76 which is below the reported figure of 46.88. Use of bidirectional LSTM for the baseline model doesn't make a significant difference. We report the results on validation set from both this paper's evaluation s...
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c6934a43f3bad600a95623708ce0fff7
L2 regularization {{cite:ebd8befa16e0503cf17a529f1cdc07d5a528fdb6}} is used to avoid over-fitting. The following objective functions {{formula:2e42e876-2f90-4133-8192-0859ece4de7a}} ({{formula:2da323d1-3bc6-468e-bdf5-c1ce8f458a81}} or {{formula:c37cb2ff-1150-4925-8c55-9b0f5f614d22}} ) is used by incorporating the L2 ...
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4664276e3db2bc01a49e7a94ddf8a880
Comparing speedups, our method obtains the greatest speedup of {{formula:34fad919-a7a6-41f7-9674-65e419213d14}} over the autoregressive counterpart, with latency significantly reduced from {{formula:1209aeae-df39-4eb1-9e12-8afba9b70e31}} to only {{formula:0a3d8168-c21e-45f2-be3c-f6994e997e1c}} . Previous works often ...
r
72fc19489d495e3dccd2c81f26f40f8b
AdS/BCFT {{cite:df75e089d53382d52c6c001a4536230179e3fb59}}, {{cite:5420ccccbf14b9c3df6adeee7d131be1720f07ab}}, {{cite:5edcdd223e9883de3590719aca83483c338e658c}} studies the gravity dual of boundary conformal field theory {{cite:f6a722906081cfff1da5183269a9de263a8bb911}}, {{cite:7698e60fd90262f12be9f989c615cb1a8e673068}...
i
b77f051acf2dc57c537e056b9c7bfb9f
Factorization Machine (FM) {{cite:34359ebe949766210ae2849d8f496a15d0bc91f8}} is the state-of-the-art method in recommender systems. We compare with its higher-order extension {{cite:128582ddf8fbdf9ab7e824cd4313a218462bb558}} with up to second-order, and third-order feature interactions, and denote them as FM-2 and FM-3...
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Definition 4.1 Let {{formula:019c1423-c869-4a38-8b76-2f2f6e3f9f5c}} , {{formula:d601fec3-cdf2-4ad1-a9c8-b437f9140390}} , and {{formula:93c2272d-0d83-4cb7-8cf3-438bf069711b}} denote {{formula:67b318e0-c36a-4509-bd81-1828c6b290a6}} real positive variables. We state that a real function {{formula:8536df4e-cedc-4c1b-8cd...
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d35001961a755068e893e850efe889e5
General relativity (GR) theory of Einstein, which is assumed to be the most interesting and simplest gravity theory, obeys the conservation law of energy-momentum tensor. Although, since its establishment researchers are looking for different gravity theories and several modified gravity theories have been developed. I...
i
e6a5be6f98b29967717f2fe246a6916b
Before we go to the detailed studies of the two schemes, we briefly summarize the present experimental information on the strange vector mesons. As listed by the Particle Data Group (PDG) {{cite:77af9d533c19501042036f238b0359ceff88eb61}}, two excited {{formula:0b574f31-2336-4b32-b5d5-aac739eeb1dc}} states are observed...
r
0fb1561410710df549f819dd57da29f0
As the mitigation of the iism is an important consideration in pta gravitational-wave analysis, dm time series of pta pulsars are studied extensively {{cite:0bbcaa06d0d03521b1c70690852889c1b6fc8452}}, {{cite:cb86fe6739348d4661a8c0a39cdaa33b50c99930}}, {{cite:2bb7aaa038e270d227ab3d25fa6143b508576cbb}}, although these us...
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7e88b31478db4fcae55d1f5527f85f23
This is related to a more general neural network problem known as the stability-plasticity dilemma {{cite:d1b9838df814c88662ba35b42dfb508711d4ba21}}, where plasticity and stability refer to integrating new knowledge and retaining previous knowledge respectively. Such dilemma is at the heart of the research area of Cont...
i
f3b9d497bffae34aa9313dd7092f4a3a
Bilevel optimization is attracting more and more attention in the machine learning community thanks to its wide range of applications. Typical examples are hyperparameters selection {{cite:cbc952e6c5644d359a3ff81348e5bdfa346eda37}}, {{cite:9ef52c9dc6721db6bfd55838c3fd7597067d7614}}, {{cite:b844d367bf15995f09671663e2fb8...
i
65dcec417872e7656e63965c0a8b178f
Stochastic control problems with terminal constraints have been extensively studied in the literature. Optimal control problems under stochastic target constraints have been studied in Bouchard, Elie and Imbert {{cite:97cdf6ec8d97741927a9cc4aa69d06342daf2c54}} using the geometric dynamic programming principle proposed ...
i
b5fd64a06a9ee46bed67d21b3e4baf97
With the advent of the LRW dataset, it became possible to train deep neural networks and utilize them for real-world applications effectively. At first, a lot of research was focused on 2D fully convolutional networks {{cite:e3b6c837d77af30a307629e1a57c7156ca1f94b5}}. Nevertheless, thanks to hardware evolution, it soon...
m
34f3876de80b0945623dcd5baa5bddc1
the difference between a multiple of cumulative mean rewards of choosing the best subsets {{formula:8c800b2d-df12-4da3-af54-1ac013cdd172}} of size {{formula:31d92051-9a07-4b07-86bb-94ac7a8cfa50}} (subject to matroid constraints omitted here for simplicity) and the mean utilities of the subsets chosen by the decision...
i
03ccae9e7e80c7ba24e19fafe52913ec
While these approaches are very interesting and gave promising results, so far they have only been used to produce critical points for a fixed scalar potential, which is resulting from a single specific gauging within the large infinite family of possible deformations. This leaves open the possibility that other vacua ...
i
5431537754e8218c05dfe00728c3f755
The cross-Kerr nonlinearity is used for constructing the two-photon QND, which will mainly influence the feasibility of our schemes {{cite:781fc1757b1e57d0bd9aa5cf42ff9ffbff586de0}}. Although it has been widely studied in the past years, the effective nonlinearity strength is still challenging in the single-photon regi...
d
c43d2b85281d10728436a3326fd6c5e6
In most applications, a network's community structure is unknown ahead of time and cannot be inferred based on visual inspection alone. Instead, we use algorithms and heuristics to partition nodes and edges into sub-networks, called communities, modules, or clusters. This enterprise is referred to as “community detecti...
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0c53a942854c78370a887b082f239147
Finally, this paper has considered problems in which agents seek to ascertain the answer to a question of external empirical fact, such as whether it will rain tomorrow, or which of two teams will a sporting event. It should be noted that some attempts to leverage the predictive power of social information instead focu...
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691a634faad4a4ff4534ddfa3930267f
Policy gradient methods present an opportunity to avoid the pathologies discussed previously in temporal difference targets while still preserving other properties of the RL problem. While these mehtods tend to exhibit other pathologies, in particular suffering from high variance, there is no reason to expect a priori ...
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bd0df308bf51e273f4204d5f22b5714b
Before discussing the multiphoton effect on the DCS, we show in figure REF -A the laser-free DCS as a function of the electron's scattering angle {{formula:4db5542c-5d85-4751-9241-e68b64e45d4c}} . Four curves are presented in figure REF -A: The first curve in blue represents the (e-p) scattering process in which the pr...
r
61fb645d347a53bd55fb05cfa563d2d2
The spatial structure of a population affects its evolution in many ways, for example by promoting cooperative behaviors {{cite:8623a4fc8f11554628b40ed8896e04da9adfafaa}}, {{cite:83b7c7d659b531981973a6dfa983cf4fcab06a04}}, {{cite:2a5b2175aaa4d58d717d3b6ac2d3c69264d006f7}}, {{cite:9487f20bdbd817127a9c33ff5efc93e8a90d1d3...
d
4119de899ba781e90dc20bc40ed99a26
The origin of the latter can be ascribed to accidental BIC formed due to a simultaneous destructive interference of leakage channels{{cite:b1d340652d18d138529400844674ec189dc8e858}}, as demonstrated at THz frequencies{{cite:0e9d3fe894e15d8c6b6d24eb35a4c956e932d50e}}.
r
71c2af5c7323fcdc26466c02f0af7dd7
We can also define the evolution of the discrete system on the Hamiltonian side, {{formula:12f02d2d-7aee-40a2-991d-dede203e84b2}} , by any of the formulas (see {{cite:b3b761af59e72b5cd71cbfbd6c27263af2969437}}): {{formula:99055e26-fb8c-4490-8dd4-52223d46211b}}
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6b29f2709ca6a885ba5679a627cd5452
In conclusion, we have demonstrated the applicability of MPLC as a building block for quantum information processing of entangled photons. We have certified high-dimensional entanglement with high fidelity by programming the MPLC to switch between different mutually unbiased bases{{cite:60f8eaf57d59899cf1dcd48c7b4cc453...
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4489cdfe3d381d57f89b7d07375d6c4b
The macroscopic state of an extended system is therefore best understood as a patchwork of domains that meet at various types of defects {{cite:050ef0ea92d3c73b66d57c4ad87bf47410afd9ca}}: disclinations, dislocations, monopoles, walls, etc. It is thus of interest to develop tools that allow us to understand, predict, co...
i
77ba2f9d4aefc0fcd0083ec224225e03
We refer to fig:TRvisualization for a visualization of Algorithm REF . This basic description does not cover all TR variants and does not detail assumptions that have to be made for the individual components of the algorithm. A significant part of the algorithm is to choose the model in Step 1. In general, only a few a...
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1a27f26efb99a5ab4a5a36ed0d94468c
Keeping the search global comes at computational price. Whereas typical shape recovery with RANSAC-based algorithms uses seconds-to-minutes on a standard computer, the genetic approach described here takes minutes-to-hours - up to one day for large, high-density point clouds. This is on par with the computational cost ...
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be942ff9e23584abc0a123cc104a0500
As described in Section REF , our datasets are severely imbalanced. In such scenarios, evaluations of performance using only accuracy measurements and ROC curves may be misleading, since they are insensitive to changes in the rate of class distribution. We therefore perform our analysis in terms of precision-recall cur...
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7a7b8ce720143d5fa7eeeed6915003c4
Limitations for real-world applications. Currently, our rendering speed (about 30s for each view) is bounded by the intensive network queries and nearest neighboring searching operations. When deploying to real-world applications, we might consider accelerating the inference speed to fulfill the real-time rendering dem...
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e87e5e6eaea434c16099801c58b6c3fe
Although many efforts have been made to perform robust tests of CDDR, the lack of adequate observational samples and model-independent methods should be taken into account. Specially, it is difficult to obtain samples that satisfy both the luminosity distance and the angular diameter distance in roughly the same redshi...
i
cf5df24c760a2ab21f431e22f60f1f0a