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It is well known that the qualitative features of the gravitational lensing on the Ellis spacetime are very similar to the ones on the Schwarzschild spacetime for their photon spheres and their asymptotic flatness {{cite:fd626c1663f1899855a73a297e9627c280977f89}}, {{cite:1a7d80cf60e6b8aaa61d9be385241902ca5d244e}}, {{ci...
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Nakajima's quiver varieties were introduced by Hiraku Nakajima in {{cite:b9e618c83f7889212876372b5cb87651048e7269}} to study the moduli spaces of instantons on ALE spaces, and have been extensively studied since then, see, e.g., {{cite:469fc6110d58e7c73453982e4c3240175fe96dea}}, {{cite:52c8bdfbaeda7f4fdc151c52cd9ef434e...
i
3d102b63d67fd2559ab55e4aea44ea1c
By Corollary REF , there exists the (unique) solution {{formula:33b8870d-7b74-4aaf-9129-b8b5c882fd3a}} to Problem REF with {{formula:f33c52b8-c65a-40ec-a779-cdc3b5524f7e}} , where {{formula:6fd6a6fd-48b0-42ad-b6c1-b1c562ba4666}} is large enough ({{formula:6f25a6d8-3fdd-44e9-8841-ac5cc76967f5}} ), while according to ...
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64228b288cb8aaf57d09041e1367b3d0
The SEIR model fits well to the reported COVID-19 data with {{formula:e1ee830d-fd39-4cbf-8f73-87aa3f602185}} in the range {{formula:bafb668e-247a-4555-b26b-019fa148e243}} . It is plausible that the supplied data, has many fluctuations and likely subject to a large uncertainty. It may be mentioned: 1) fluctuacting beha...
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ff82c0ad03f5ba5206266d9a29f060b7
Unlike the radial component of stellar bulk motion, the vertical component, which gets translated as a combination of breathing and bending mode motions, is stronger outside {{formula:2a4b3835-1f24-4bf2-a828-ec8c73bd90ed}} than inside. The breathing motion detected in the outer disk confirms the findings of {{cite:a7e...
d
e2cc4e05e539eaf470312e562955edfd
SS-GAN {{cite:f401dc530e3bf555ebfd32aad380edb1136330a4}} proposes to use two GANs, a Structure-GAN for generating a surface normal map from random noise {{formula:808d6095-1e74-496c-b4db-98109646e022}} , and another Style-GAN that takes both the generated surface normal map as well as a noise {{formula:55c47a19-d483-4b...
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In Tables REF and REF , we summarise our results for the TE calculations, the non-pulsating and the pulsating models for the two types of AGB stars, SRV and MIRA. The abundances derived from recent observations are listed in Table REF for comparison. In the SRV models, atomic Al is found to be important for all cases...
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289a6f6f1d0f1a27c62d46458eb02441
So spin networks are the kinematical states of the theory and the game is to describe their dynamics, i.e. their evolution in time generated by the Hamiltonian constraints. Although the traditional canonical point of view is to attempt to discretize, regularize and quantize the Hamiltonian constraints {{cite:70fc06f85...
i
328b32c1ee9ff3b44c0a569f958f38da
That is, the update step is rescaled by the inverse of Hessian. An intuitive interpretation of Newton's update is the Hessian contains curvature information, when the curvature is steep, the inverse Hessian can scale more making the step smaller; while the curvature is flat, the inverse Hessian scales less resulting in...
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df1588ec0381997369e935fb8517d771
The duration of an excursion as well as the area of an excursion above a given threshold of the occupation process of an {{formula:ae8eeb06-77d3-4cdb-8363-6f7a68654af8}} system have been studied in {{cite:6cff936e7f3dc40be440581a4d0dff6eb3d4a80f}}, {{cite:706854b839f03a170e6c2b3f8592d949683d3584}}. The analysis reveal...
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2c94725ba990b7c62029636143fb95de
Fair MF models outperform fair PSL models w.r.t. non-parity unfairness: All MF methods perform significantly better for the non-parity unfairness metric when compared to the PSL models. Also, optimizing for non-parity unfairness in MF causes an increase or no change in almost all the other unfairness metrics, which is ...
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9136c1f074d2b28453cf168e5e51c534
Different QCD matter has a different temperature of phase transition which is a crucial parameter determining the features of the GWs produced. Then a question arises naturally as to what kind of QCD matter in which the first-order confinement/deconfinement phase transition happens is more likely to be the potential so...
i
3545eceabe58862f7dbcd0fb06f6cc40
We have shown that confining a dense bacterial suspension into a thin periodic racetrack leads to the spontaneous formation of a stable circulation along it. A similar setup has been previously used to study two different active matter systems: marching locusts {{cite:a27fadc9c297d6fd059e7ed9675b8c545c5cdc74}} and roll...
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3f1b3d5f0b41bf6c3151ea3fcaa9e77a
Deep reinforcement learning (DRL) has a wide range of applications in wireless tasks {{cite:4beca0fbf8028ed4f94e16c4c0d954c2fd37f24c}}, {{cite:98f8307f3ab00f197587eb5333aca255a12e4e8d}}, {{cite:de7a6bf7343fb93d16e88125616c3744173de7b5}}, {{cite:933e9793ace17090df9f36d572230614f1af0bb5}}, aimed to make decision for reso...
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124a7ba0cb371ad9148692e48d567045
In this article we would like to follow the procedure used in {{cite:ea4bbb68d86e45e64e906f86267de896b3703117}} and in {{cite:1ee59ec03fe2229f7596c370492c006f635434eb}} in case of one very interesting non-relativistic system which is low energy Lagrangian for {{formula:d853ade7-2d84-44f0-88af-25db95070691}} D0-branes ...
i
62f86ff6461874826b399aa22ac039ad
Calculating IPRs for all the {{formula:6bd867c1-3f69-442a-b2f2-53cb5f04ffe8}} states, we compute AIPR of the system which is {{cite:ef5b9fe438ee178415f082cd6408097e561e1308}} {{formula:271ede91-7ff5-471e-92df-5778bcb45d86}}
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We compare how our method GenB performs in relation to the recent state-of-the-art methods that focus on bias reduction as shown in Table REF . For VQA-CP2, we first list the baseline architectures in the first section. Then, we compare our method to the methods that modify language modules (DLR {{cite:126e4c18d78f8572...
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3bb64126d2aa69adbd08d48dab6e7c3d
We use randomly generated Ising Hamiltonians for evaluating the performance of the proposed QAGA and compare it with MQC, which is the state-of-the-art technique in the realm of QA {{cite:0f9cddd3d61e7d0db2bd72fab6f199d01f731bce}}. We employ three different types of benchmark problems: (a) coefficients drawn uniformly ...
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64ff4088c8f26522231d65282bbdef03
The results in this section show that neural networks equipped with edge detection neurons are more robust to color distortion compared to conventional CNNs, but are also less accurate in natural settings. The proposed models reach between 84% and 99% of the performance of conventional ones. On the one hand, this shows...
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7b4fb3be7d64292abd22b22a2248b9ed
We tested our re-implementation of the model from {{cite:d53104c6215cbee175252653b4f23a9cb9441da2}} on the ReferIt dataset {{cite:b33581f131edf8bd6d6323a9f87dc7701874aaf9}}, and found that our re-implementation achieves the same mIOU to theirs.
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eee7cb81b474738b9ada33a8915de74f
Regression-based text detection methods predict the offsets from key elements and decode them into bounding boxes. Inspired by SSD{{cite:874d5ef9e1a4ccdeda34c62a44b93839bbb96b5c}}, methods utilizing the pre-defined anchors (key element) simplify the detection pipeline, which are end-to-end trainable. Adding six text-bo...
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We assume the basic notation and terminology on graphs and matroids (see, e.g., {{cite:4f3ba31b8bc367bbc03689b0adb4ad3c8541421f}}).
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It is believed the backpropagation is biologically implausible to perform in the brain {{cite:944e07f5471170e943043149f47f3d3005a00d4c}}. Feedback alignment {{cite:944e07f5471170e943043149f47f3d3005a00d4c}}, {{cite:6831bc6f634de7f496e5d944da447eec22a72c3f}} is an alternative method that uses random matrices to propagat...
i
3774c454b919a5aa2cfe924b1f05c3cd
In this work we have developed a set of techniques that significantly improve the convergence of classically assisted quantum compilation algorithms. Just like the local cost functions considered in {{cite:73ce5e723f97b1ff418e10d75850ca637291203d}}, {{cite:413fd153883aa1a7cb89601c19d79bb10cc58f10}}, we have demonstrate...
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e8f1f3414f4a720f9b56b12bf1d2172f
Here the initial and boundary value data about {{formula:56f41ee9-643a-4d19-8e01-cb2042da3edf}} are denoted by {{formula:36e6970b-54d4-4e4c-9d6a-6d18ca6d8ef7}} and {{formula:d36fabd7-1b11-4bd3-8673-81ca410c63e1}} . Similarly, the collocation points for {{formula:a31a069d-1d79-4020-a258-ebbce149556d}} and {{formula:5...
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We investigate several state-of-the-art approaches and found that FashionNet {{cite:d126b7fb3e05c02e826cc7ed368c851b36774988}} and StyleNet {{cite:afc548aeace20d370cace2f5b011a566d0f20f48}} which solve different fashion retrieval problems and are not suitable for attribute manipulation. We compare the performance of Fa...
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Nonetheless, our framework is interpretable and provides a natural approach for quantifying differences in strength of association by sub-population in general settings. Though we only considered measures of marginal association in our examples, our method can be used with conditional measures of association as well; w...
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Determining the evolution of the early Universe before Big-Bang Nucleosynthesis (BBN) era is not an easy task. Although observational data regarding the Cosmic Microwave Background (CMB) may constrain very early stages of the Universe evolution such as cosmic inflation, very little is known about the post-inflationary ...
i
d762aca754824a5d7b3223e36d116c81
The kernel trick provides an elegant and natural technique to extend linear models to non-linear models with a great representation power. In the past decade, numerous works have studied bandit and reinforcement learning problems under the assumption that the reward function conforms to a kernel-based model {{cite:65c5...
i
eb82b5d74561e6e0e809efba29fa6366
To the best of our knowledge, existing causal methods for recommendations aim at mitigating the effects of different bias rather than improving interpretability as in our work. Most existing works claim that the observational rating data suffers from selection bias {{cite:df593236c1018b2719b30478976f303bf8816c91}}, {{c...
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af45ad2d134ed1714adfbf613ed5b68b
Nevertheless, we also note that Chang et al. in {{cite:4ff02db230760d3c7063594ba33f51a81b54a844}}, defined a controlled Hamiltonian (CH) system by using the almost Poisson tensor, and studied the reduction of CH systems with symmetry in {{cite:b2c8827460b3acc1ed0e69aa9c5b6cee2e27180a}}. Unfortunately, there is a seriou...
i
cbbb673d3545950a55acd5153e94af37
In our experiments we generate sensitivity attacks using FGSM {{cite:733ec6bbd0eb901624e4707adc0dbf2c61f49569}} and invariance attacks using the method described in {{cite:05bb1de62ada8c9258d189848b29b48f89938a2b}}. We generate a single sensitivity attack and a single invariance attack for each sample in the MNIST data...
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6855bc810719d3bd9efc847f0187fc6b
An alternative form of feedback is single trajectory judgment (a.k.a. evaluative feedback {{cite:8e2047e9c54658a46ab0de06abf1d0554f438e1a}}) wherein humans watch agents behave and provide a scalar signal representing their judgement of how good or bad that behaviour was. This type of feedback is usually given on state-...
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fb3ece57c404c4a6c9919bf6cdad4eab
It is one of the fundamental properties of quantum mechanics that the evolution of quantum states is described by linear maps which are completely positive and trace preserving (CPTP), stemming from the unitary dynamics enforced on a larger Hilbert space {{cite:b60bf5dfa27b1490582b886f90ed7ba426bc68b7}}. However, in se...
i
3782318d17bad01ef33ff3eb34e63a76
Given an input and a neural network with fixed parameters, the goal of an input attribution method is to identify the contribution of each element in the input to a specific target output neuron in the network, e.g., the output neuron correlated to the correct class in an image recognition network. The contributions ar...
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Let us show how to apply our approach to the construction of m-dissipative Maxwell operators associated with the impedance conditions of Examples REF -REF . For {{formula:b8bd60ce-a91d-4fed-b92b-1aa3ec3c5fc2}} and for {{formula:bf0ccf88-a467-4e27-9ac5-cf7eb59a5ad7}} , all m-dissipative extensions are theoretically des...
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65e3087aa22c127632b26200bca898a2
for some parameter {{formula:119eca95-5adf-4eca-94a9-37f7539263cf}} and modify our error term {{formula:d9454745-8dc5-4996-9729-fe3c2ca14d9c}} to {{formula:66f6cba0-2cad-4e3c-9ba5-a1dd616ea903}} . This is for instance the path chosen, when {{formula:c48bec04-aa7e-4cb4-8de5-2c0088c0d344}} in Theorem 1.1 of the book {...
i
7e599daed03bb7c1f2f560f4e8b18491
We observe that {{formula:64984576-5fc8-405d-a4b5-f960a0dc2fb8}} is constant w.r.t. {{formula:b9d6918c-1226-4151-b20d-1f1b3a50e318}} , thus Eq. (REF ) is simply a linear combination and its intersection with the hyperplane {{formula:72462021-c900-451a-8c98-f7bd30ace1a9}} results in a twice-differentiable convex optim...
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There are three types of bias mitigation techniques: pre-processing, in-processing, and post-processing {{cite:ad5abb45ae2306bfa89843cf3ca62271a03ce93b}}. Pre-processing techniques mitigate bias by removing the underlying discrimination from the dataset. In-processing techniques are modifications to the machine learnin...
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The performance improvement using joint training on mediastinum and abdominal lymph nodes shows that it is beneficial for CNN to have larger, more varied and comprehensive datasets (which is coherent to the computer vision literature {{cite:243d074ee175d19a27c27d7c8d5ecd3dbd6c3765}}). A companion approach {{cite:4e43a3...
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ac957b4b01a838fa5f6de7979e385bee
In all cases we pre-train the classifier on the training set to predict the letter classes, and perform model selection with the validation set. Following the methodology of Cohen {{cite:ce37593977ead8583da4e590c05a239c00fbdad9}} and Jayaraman {{cite:6d10bebeb547005c32fb276e5e52657473b7f413}}, we perform pre-training u...
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{{formula:10ef1759-5099-4a56-993b-0dea456a86d1}}   //Find crowding distances of individuals in population set {{formula:c2e6b9ef-8813-4961-91ff-c89b483af891}} {{cite:8a87a5733554b3308bca59ba83f0c122f490e1a0}}.
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A range of work in artificial intelligence has studied natural language generation in conversational dialog {{cite:c9d683cb29a2ab8ee66ba14e5d4eeddcacbd80f5}}, {{cite:ab2b5de9f426e6c5477ab1aae40fc9a019dc3850}}, {{cite:2d02dae2f30bc28e6f5ad424d8facd3b77ddca7f}}. Dialogs provide rich scenarios for understanding social int...
i
2e5fbb5205746892d425c77a31d8e50f
In this experiment, our goal is to build a few-shot classification model that works the best on real-world perception systems. So we train CTX+SimCLR {{cite:0e9dd2e7f08ff6bcdaf67f8de65dc570267a1bd9}} with all real and synthetic data from the FewSOL dataset and then test the trained model in our lab. Cluttered support s...
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Simple methods. In this category, the initial match graph is first divided into sub-clusters with compact edge connections and small image size, and cluster merging is then achieved by using common camera poses or 3D points between sub-models {{cite:089a83cfbdeabf8b3f4c49fcb12726aabef4d6df}}, {{cite:1de152c6781026b282c...
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In this section, we first briefly review the key concept of DenseNet {{cite:1bdedda0d73265e17f50392b22bf361916a65ba0}} to deal with the degradation problem in the classification task. Then, we propose a novel network architecture that extends the DenseNet to volumetric segmentation.
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We converted the absolute magnitudes of our M31 GC sample to photometric masses using the appropriate age-dependent mass-to-light ratios provided by the BC03 and galev SSP models. The GC mass versus age diagram is shown in Figure 9. The crosses indicate that the ages are from {{cite:5f500031340cdbf9bf19dc07bfc0c86dd419...
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Since the discovery of neutron stars (NSs), they have been one of the most interesting astrophysical objects found in the observable universe. A number of branches of physics play important role to explain the extreme characteristics and properties of the NSs. They are wonderful `celestial laboratories' which provide t...
i
ce768bcf4e1aeb79f0e81b84a325ef29
In the current work, the critical argument {{formula:87a0ddfc-1a75-421b-b044-93f89f53ce38}} is adopted to describe the long-term behaviors. In particular, it is {{formula:095b0237-3223-43f9-b76b-5d0fd91c3500}} for prograde configurations and it is {{formula:9ccef522-b8a7-4b86-a331-fbc9aefa238b}} for retrograde confi...
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Pre-trained Models: We use the pre-trained Faster R-CNN model in {{cite:ffddcc465ca19a679b8c7b9d568b0c16e5bb82fc}} to initialize our method, then our method gets the detection mAP as 41.3 in the Cityscapes{{formula:3dffd467-38f4-449f-8663-0ad6bd5e2ec5}} Foggy Cityscapes experiment, compared to 42.3 by our method withou...
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Since the super-resolution (SR) can improve the image quality without changing the MRI hardware, this post-processing tool has been widely used to overcome the challenge of obtaining HR MRI scans {{cite:e1353259ac1763b01995411ef80099224e1fdb17}}. Bicubic and b-spline interpolation are two basic SR interpolation methods...
i
84ac8d9461f5344ef8b9a7c99b36711e
Lanthanum-based cuprate superconductors possess a very complex electronic phase diagram with intertwined orders ranging from an antiferromagnetic Mott insulator to a metal. The long-range antiferromagnetic order in these compounds is destroyed by as little as {{formula:14f4ef18-64f3-4dbb-97e7-679d402a9c57}} strontium ...
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06fb134152fe49186066390d4b040f19
Let us now try to organize these results and draw some conclusions from them. The quasi-power distribution can be interpreted as a trace of temperature fluctuations {{cite:33bf9694673ef3e41c4295de35f705654fd28a61}} and the non-extensive Tsallis statistics, usually called superstatistics {{cite:5b6f496ce1f547f525705e534...
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1bf3f218c93f2b0131389483dd5322e4
We evaluate our Neural Part Priors for semantic part completion on real-world RGB-D scans from ScanNet {{cite:6dae7cad64b14b64adece3b74ce650ad0c71188c}}. We use the official train/val/test split of 1045/156/ 312 scans. In order to evaluate part segmentation in these real-world scenes, we use the Scan2CAD {{cite:739b116...
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a0345ae230da947aa1f262e50cd1cdc8
A relevant analytical model accounting for the behavior of the normal force with the probe-substrate distance has been elaborated by expressing the total surface energy of the droplet, {{formula:b1361196-fece-47cb-8640-aed0edd09fe2}} , as a function of its radius {{formula:83fa3672-4cb4-4ab7-a579-566c7859a71e}} , see R...
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Perhaps the most important open questions in the area of coupling design concern the development of theoretical tools to relate proposal and acceptance options to meeting times. Such tools would enable a systematic understanding of the interaction between proposal and acceptance steps. This would also support work on h...
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667.01 GJ 1132 b {{formula:85728ea5-5357-4177-8dcb-cb816da8cfa0}} {{formula:ede55c27-8237-4efa-9110-4ea29db40642}} {{formula:ae26332b-a573-42e3-a564-0ca03be986ca}} {{formula:cbaf803e-173f-4383-be3c-84a634d5e5fb}} {{formula:73ea22e4-04fa-4d33-938a-272183d6bbc2}} {{formula:a4853e70-8dba-4f43-996c-68534dea6d2d...
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Ancona {{cite:a54df5b8b944f92b4a53c06aeb3bef7212836704}} show that, for a network with only ReLU activation function and no additive biases, this input gradient product is equivalent to DeepLift {{cite:2233fb321934dea8f776fa6eee00d2b4fe9c7e15}}, and {{formula:5a90a987-d263-4e2b-8ab3-37f43f16676e}} -LRP {{cite:f316f3e5e...
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Alternative methods have been explored to reduce the annotation effort for the 2D object detection task. Weakly supervised object localization (WSOL) {{cite:55a02d8a06303142553828594ccfb58ec09ff820}} has been used to train detectors using image level labels, a very cheap annotation technique. The resulting 2D object de...
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To fit the individual RCs through mass modelling approach, one needs to use the informative prior on the baryons ({{formula:bd218142-5dee-4cb7-bf02-5669e7b814b6}} ) in advance, otherwise the parameter space {{formula:b74cafc6-494c-4dd5-b478-fee4e08ac74a}} is highly degenerate. In the case of co-added RCs, on the other...
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Researchers have attempted to model Re and Nu on the governing parameters, Ra and Pr {{cite:ff9858738cf7eea88f6b0776c3cffca666d49d53}}, {{cite:ec180b75ca2db6594d76ef4f0fd96195f9169a33}}, {{cite:399a064556a3724a04ba89bca64a49e834fa65ab}}, {{cite:65ff8c532d1e16c18b3f6901f5a328d605f21d71}}, {{cite:1f4b96cb63bda86027b5e7fe...
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The calculation of {{formula:43f3e5cc-d853-4f54-aa08-f0adec17486b}} from first principle methods requires harmonic and anharmonic interatomic force constants (IFCs). For harmonic IFCs atoms were displaced by 0.02 Å using the finite displacement approach as implemented within PHONOPY {{cite:245342a8c0e4f049ef26d857d2c8...
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We evaluated the performance of the proposed DADCF pyramid (Section REF ) and RDADCF in compressive image sensing reconstruction {{cite:52053f3b4898687076f5c38ce046c9859ff44e22}}, as an example of image processing applications. {{formula:bf00bcaa-89b8-4b08-b525-870aee2e1c6b}} pixel images in Fig. REF were used as the...
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However, despite the striking resemblance between black hole thermodynamics and traditional thermodynamics, there remain two obvious discrepancies between them. One is that there is no {{formula:f24dcf8c-7c28-4f82-a7cb-64d091314ce0}} –{{formula:fb4c1766-758c-454a-a1ec-5ac1fe403419}} term in the first law of black hole...
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Using Reinforcement Learning (RL) for low-level quadrotor control has been proposed and shown its implementation result in real world quadrotor to stabilize and hover or fly on a specific trajectory {{cite:9f7a6623947fa972c25544656d04b3c9383ab299}}, {{cite:b96b953cd14fc3736a2b52eae26b989d2f507891}}. The advantage of us...
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One class of intractable statistical models that has been explored in detail are models for which it is possible to simulate data {{formula:707ceda3-12d2-460d-8166-fdd1d70f688e}} conditional on the parameter {{formula:3150f0ef-7d1d-4581-b7b9-eca49d123b40}} . A well-known approach to inference in this class of models i...
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In our study, we consider the popular {{formula:6df6b52d-2781-45b9-8a31-68e8fad503f1}} -VAE {{cite:1cc833e18a3ba56d2420831192d91c105c3175bc}} as an unsupervised approach, as well as Ada-GVAE {{cite:e2c04574ed6a9e951bcf4863a0f098897a4b6085}}, Slow-VAE {{cite:a380a233e7a10acbbe2840b43986cdc1c6d20056}} and PCL {{cite:7612...
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In the present work, we perform a detailed analysis of the available differential cross-section data from the CLAS Collaboration {{cite:274fc1af89fe89eae8a470257e68d0db3cc16436}} for {{formula:36de33e0-121d-4909-a4e5-a69661a7707d}} within an effective Lagrangian approach at the tree-level approximation. The Feynman di...
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7e304b7fcd2e6573cb704f743e187ba4
Since there are many visible corruptions in the real-world images {{cite:6cbfe2a88d9cd9959aae7ab8b73f6ac1e793eb40}}, {{cite:5483eee40c44f188854e0c6cf04e323e84825a71}}, current state-of-art SISR methods often fail to produce convincing SR results as shown in Figure REF . Most of the existing SR methods rely on the known...
i
264bd43000922c8c592853f475babd3b
The present optically thick and radiation-pressure dominant shock models show some of the characteristic features of Ultraluminous X-ray sources (ULXs). ULXs are X-ray sources with X-ray luminosity above the Eddington limit for stellar-mass or below the Eddington limit for intermediate-mass black holes but not supermas...
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One main limitation of this work is that the current analysis merely holds for the homogeneous setting. A future direction is to extend the theoretical result of {{formula:3fdc0225-ce4f-4ac5-a3cf-c7f8ff62d85f}} to the heterogeneous setting that better models various real-world applications, such as federated GANs {{ci...
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60ff2aec4dc293041af0d47be4acbfee
Currently, the {{formula:72fd708e-423b-416c-a404-f7c3b117cd5b}}  rad phase variations we find are most similar to that of V456 Cyg, where small phase and normal amplitude variations were observed in a subset of g modes in a circular, synchronised binary {{cite:c78564e089264e7aa7c2382a92f0416413914c89}}. Because of this...
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9bc893955e6ca70c9964fede9cdfc035
The synchronization behavior of the pair of oscillators is classified as drift state if the peaks of the spectra corresponding to the two oscillators do not coincide, and satellite peaks i.e. peaks in the spectra different from the limit cycle frequency, are absent. The behavior is classified as synchronized state if t...
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In this paper we propose a general Bayesian framework for the unsupervised analysis of high-dimensional biological data across multiple studies, building upon {{cite:939d08ff28c3beb1bae290115e35e07dfdb8b365}}. We address the unmet need to rigorously model replicable signal across studies, while at the same time capturi...
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33b7395e5b9340b936b35337badd4fd0
The optimal cost of a Toffoli gate is six CNOT gates using the standard decomposition-based approach {{cite:b0354357b96847268f256b0fb86470f58db9c842}}. The theoretical lower bound of a Toffoli gate is five two-qubit gates {{cite:086199940e76d6a57518317b8e1be086079dd932}}. Ralph et al. {{cite:6cbefe39369f3dc8482a617af4e...
d
2b42349bc0129324bbcbdeda1a2d7086
Crowdsourcing aggregates the crowd's wisdom (i.e., workers) to infer the truth label of tasks in the system, which is called truth inference. Effective truth inference, especially given sparse data, requires assessment of workers' reliability. There exist various approaches to infer the truth of tasks {{cite:8e9470e26e...
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44e4e0cc039356d21ba5735c5b82b9c6
Comparison with MAE. We empirically and theoretically prove that masked autoencoder learns generalized features even with imbalanced data, which is quite different from other self-supervised manners like CL {{cite:555c191f103eb4f21e6ff36e84a8256f4c8c24de}} and SCL {{cite:812f3ec2fb216fc1f49f2cbad32556658922fe7e}}. Exte...
d
9df200fd7917605a4b092bb5ed1ff1ea
We compare the proposed method with several start-of-the-art virtual try-on methods, including VITON {{cite:9a84851d350ced93f583155b92b51ae130a54b93}}, CP-VTON {{cite:d6210749535ae6b2665a7db5db652a228b72dc9b}}, and MG-VTON {{cite:7037a756d9794ea8391de8b99eeb900bf6ecfffd}}. VITON and CP-VTON adopt a coarse-to-fine strat...
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222ba2156984755a4650c42daf418a6c
where {{formula:0f489631-4009-4e81-95af-5507d0743a6b}} denotes the iteration; {{formula:379a7743-aa40-41fc-a6ce-9dbdb2055189}} represents some varying penalty parameters which may be preselected or dynamically generated in the iterative process. ALM is composed of two alternative steps: Primal update solves AL probl...
m
c5a74c387a41fc6284b5f8c5e44bce3d
As a final comment we note that the structure we have presented in this letter, naively, has the similar feature as that of the Krylov complexity {{cite:35b9e1f262a1e643f92c4eee45ab920b38477192}}, {{cite:6adbd981b341fe9613ddafdea752d16b3f7b4dbf}}, {{cite:6974ced3dceee7a1ce889e6bcd2e6cca70981d9f}}, {{cite:99d9739e7de803...
d
7a78770fbbfbd7bd96ea3276eba930f4
Inspired by the efficient GED approximations and the powerful framework provided by the new advances in geometric deep learning, we propose to leverage its effectiveness as a learning framework to enhance a graph distance computation. Therefore, we are facing a graph metric learning problem. It can be formulated as a c...
i
e9ac61258ac69ed7ea08af0de3977fb4
Chebyshev polynomials play an important role in the approximation theory, and, in particular, it is known ({{cite:5069367d6bb470e518d5ffda24dba1634ec4449e}}, Theorem 3.1) that if {{formula:3221b4e8-079a-4a11-a714-342ca0f79f83}} is Lipschitz continuous on {{formula:b90b57e9-14a7-4fb6-9530-43883838e344}} then it has a ...
r
6ff719065d0f20cf10209d0a75a3c1bf
Representation Learning approaches are on the rise for explaining system behaviour. Restricted Boltzmann Machines (RBM,  {{cite:c2c864f69331b5303bc85ecac20d4b9cfba285ba}}, {{cite:f8d48622bbc7941cfa7da8fde8cb891c627f4a5d}}) are widely used for learning feature representations with newest works focusing on the explainabi...
d
55166e28dbb14ba82400c7d7c3d10021
For this work, we use MESA version v9793 compiled with GNU Fortran version 7.2.0 installed as part of MESA SDKhttp://www.astro.wisc.edu/~townsend/static.php?ref=mesasdk. All of our MESA calculations implement the same spatial and temporal resolution conditions as adopted by {{cite:da3ac57ca8c920459f457392319b6469e01c3b...
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7e21a4d4a97184e93f22ca9591c1f8b5
The literature on defining optimal SG is growing in interest and activity {{cite:60de94bc97b846c595b378ec443568ef59d81c20}}, {{cite:a7719b67fc76e1c6f1c33012370082b2faf5bf33}}, but attempts to establish a theoretically optimal choice are lacking. We provide a method that can define a principled choice of dampening and s...
d
7c2cc6d07fd7d8bb2ab0bfe029222afa
where {{formula:1e8eec0c-3b0b-4d16-8773-bbc490c2eb93}} is spatial-dimensionality, and {{formula:3c2b12a9-a90a-4e16-ab6b-6adca67de7db}} is a critical exponent which can calculated as {{cite:3d79c4dd9ca9033b9586bb9888698899d75fa0dc}}, {{cite:f3a49e9a4794aa574780e5d600b53f35693934b6}}: {{formula:8650af5d-0c69-468c-adaf-...
r
22ef5fdd3cceb84e932f54b72967d145
Our results highlight that while CNNs learn representations in a feature specific manner, largely discounting the characteristic properties of the underlying object, humans try to learn the knowledge of features, building on top of objects {{cite:f2337d75adbbf732007a538ec50c1929cbfe3a99}}, {{cite:779a29c51e2ce941bd4ebf...
d
1dde4149a79e829d50430b89162d3878
is nonempty and obviously compact in {{formula:c69c00ec-5806-41f7-a91d-8cb950f47838}} . It was introduced in {{cite:0bddc5e7d5ab2d6286b6bec3297da02b130311cb}} for {{formula:f1f756e9-383a-487d-9912-d234f2f69402}} as the set of “almost-gradients" and then was called in {{cite:505e3566800ffe302f871068ea7b8b468960b1d1}} t...
m
d5e84b852b29c547a12170bb07cd1526
For the RIS with large number of intelligent reflecting meta-surface (IRM), denoted as {{formula:168c7575-a2ac-4fb1-9569-a845ae1ac944}} , and assume that the channel phases for the channel from Tx to {{formula:4027e518-aaaa-4f6c-bb31-11a7d7d8c6e7}} th ({{formula:3c06c9e7-3a60-473b-a47a-9e46227edeba}} ) IRM of RIS {{for...
r
c5b80814472001c3ed7276891907f44f
The condition assumed in the following Theorem is satisfied apart from {{formula:f2b0f42f-a05b-494c-aeb9-7ec6ce92597f}} -predual spaces, by any function algebra on a compact set {{formula:554705b5-7d89-4a77-b867-a9e65a89e17a}} (closed subalgebra that contains constants and separates point of {{formula:eb5a35d2-7285-45...
r
c82e9ed1eb59415bd45febb1cc12e64a
In the second group of the integral special functions, the integrands include special functions and the most known and applied are the integral Bessel functions {{cite:752fd28f7a467b2fd1d3b69399868d23b361b5e7}}, {{cite:a1708b655b289813322af4acb19964763f206f77}}, {{cite:3e1fa4f0003467f7a67fb462acc482651808fa35}}, {{cite...
i
e9091baf864d4747e840d95fffff646d
Theorem REF was proved earlier in {{cite:995f3201b3995a8f819921fceb328e583ae9557c}} under the assumption that {{formula:3cdfa85b-2a96-4384-bf4f-2ed5adef490e}} is a compact Kähler manifold. The proof in {{cite:995f3201b3995a8f819921fceb328e583ae9557c}} crucially used a well-known theorem of Corlette–Simpson {{cite:a77...
i
ced487e01697e34b254cbdc9f6d11bc9
We also showed that this approach can be used to study time dynamics, of a photon interacting with up to 500 qubits, using a personal computer. We therefore expect the formalism presented in this paper to enable the study of complicated quantum networks such as multi-dimensional waveguide arrays {{cite:9346a33c455abcb4...
d
d05c3b884aa66c1767e5fa782358cce0
Regularization methods applied during the training phase {{cite:ed65636b83ad24bbd3e0af566c608382d204d397}}, {{cite:bad8fc73692a14153cfdf5019c7a55b37912b535}}, {{cite:c2af9c55a8a8bd19ad0110cf268bdcd7f090d38e}}, {{cite:7543519990cfcd66d2dd93c2e1d39c1b83565c50}}, {{cite:8d34dc1f7d7fcd2698b8899e2aa5603ba12ec000}} These me...
m
a5d73c2ae0147cd9a3d242a3c178ed22
Theorem 3.1 (Theorem 2.15 of {{cite:b925ae6b703a2c1d5ff2bf1cb1a4b58c41f90b25}} and Theorem 3.1 of {{cite:aaa8db6cc0fc95367f477fafd596bc42da6d1cb0}}) Let {{formula:3a56b0cb-edce-4759-bb00-b70afa1775f6}} be a Gelfand triple with a Hilbert space {{formula:8edc128a-3a0a-476e-9623-caf152f9e6fb}} and a reflexive Banach sp...
m
31501e518d05f894318103bec1a3292f
Hence, it suffices to analyze the convergence of {{formula:dc1e7f31-2c1b-44f8-b57d-1276bc026ba9}} under the null and alternative respectively. Note that {{formula:bd4222ae-25e2-4ed5-ab09-26e597db88c1}} and {{formula:08b6ee05-c627-43a6-986b-dad61bd4771c}} are deterministic matrices. Under the null hypothesis, the mat...
r
8a9d7314c6525590f8c52901c6d90eff
Benchmarks. We compare FROB to benchmarks. Having access to large OE sets is not representative of the few-shot OoD detection setting. We compare FROB to GOOD, CEDA, ACET, and OE {{cite:35c67f8f3019b4480dccd678d32369b7ea30a94b}}, {{cite:65fd1034fcd8d6940be3f2cbf3c1c57640e9dda9}}, {{cite:7df418ebee4c55c13f5d76f2d40c24d1...
r
9e6b672f7a4270cb3b25f324da654dd7
Random graphs {{cite:1a0bd934c41d5aca3b8321bea50369be75ebb62e}}, {{cite:0b60ef15405e1666b3e112028dceadcb34986e50}} provide a framework for studying the spread of information in networks; it has been successfully applied to a wide range of dynamical systems such as social networks, epidemic spread and the internet {{cit...
i
9a128c46e02a893f2191cddc6e518e2f
Prototypical network {{cite:bdef15fa31e448a75c3f9ef46169a1b9c6584aa2}}: This few-shot learning model is simple yet obtains state-of-the-art performance on several natural image benchmarks. The network computes a {{formula:2c62f41b-5b2b-4d29-83b0-33ec55db4405}} -dimensional prototype representation {{formula:d8e00c9a-81...
m
ea9b7351297111f34338d79618354aaf
The colatitudinal angle {{formula:139daecf-d46e-4849-9110-a9cd8d36bb5e}} and longitude {{formula:1048052d-8412-4cc7-b593-a62f28d335e6}} are introduced by {{cite:16560849c78884cbde7e0bd83298af0f5edc20b5}} to express the eccentricity vector of test particle's orbit by {{formula:8c685048-33e3-4382-a260-29b141fbed53}}
d
9e0c6a2d7942d10ffa899755c28ef367