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This paper details the investigation of the KHI and null point collapse around an axisymmetric, linear null point, an idealised model of a real null point (such as that observed in {{cite:1aada1bb8bfccef875dce76971aa36ec0c8c4b5d}}). The impact of different null point configurations such as those with asymmetry (e.g. th...
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Firstly, with the measurements of the central velocity dispersion and the location of multiple images (Einstein radius) of a strong-lensing system, the ratio of two angular diameter distances {{formula:44ad3e3c-002b-495a-b467-f1a266ed845f}} can be precisely assessed. Specifically, by assuming a power-law model to desc...
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2a91fe135e5947f1069cdf250a76cef2
Figure REF shows 95 percent confidence intervals for {{formula:527f4506-fd04-4861-8c42-e2ec8ca4b7c4}} for each state from the marginal structural model in (REF ). We computed standard errors as if the weights were known, which results in valid but potentially conservative inference as long as the weight models are co...
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3352ec9a0357a14108a8d1217a088423
Theorem REF and the estimate (REF ) guarantee that the minimizer of {{formula:5b2b7f9d-36cb-4795-8b2f-bf64dcc2d89e}} can be found by the popular gradient descent method. The success is due to the hypothesis that the desired minimizer is in the interior of {{formula:7c393adb-1bc3-4ccd-b393-0936fb7db33b}} . We do not e...
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5f45c2ac551eac4d25589b7c1959420c
This definition is equivalent to the concept of uniform stability defined over the on-average loss {{formula:5c9844ed-72c0-424e-9c3d-d8adf9cdabc9}} . Suppose that the loss function is uniformly bounded in the interval {{formula:919ade42-f487-44ef-9156-112eceeb6b84}} . Then essentially it has been shown in {{cite:2df458...
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da64107af0dd8dcb908d3b47b215e865
Development of such a model class as something which will scale naturally to large networks is of further interest. Computing gradients on arbitrary Riemannian manifolds may prove to be challenging when the positions are in fact latent. One promising approach we plan to investigate in future work is that of product spa...
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ad2ca68a48d26daf8431579317c951fa
Note that we can chose the smoothness {{formula:6f67b170-3270-4158-a314-cfb38b13a33b}} of the basis to be as large as required and hence will omit it in what follows. For more details about wavelets see {{cite:5e1485e53b3f383d1867784873b4e6ad76b95826}}, {{cite:21c873ac00e73dc9c8dce0ff044db33f6cfcb162}} or {{cite:d9e7...
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The methodology proceeds by the translation of semiformal specification to Focus  {{cite:5b2c31e2d25f91a1b4587ff566d2e4b7f6ecd703}}, a framework for formal specifications and development of distributed interactive systems, preferred here over other specification frameworks, since it has an integrated notion of time and...
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A fundamental problem in representation theory is the description of all irreducible representations. We are interested in the polynomial representation the invariant differential operators with respect to the generalized symmetric group. We know that the direct image of a simple module for a proper map in semi-simple ...
i
0b58a85a43423ccb4204a0a45458e27c
Perhaps the most important ingredient in this derivation is an analogue of the property referred to as “one-sided molecular chaos” in chapter I, section 11 of {{cite:fbc0cfc61034514cb035b815770842495c894bef}} — see also Sone's lucid presentation in Appendix A, section A1 of {{cite:36d49be54e4ce09f6441b6c23a70cca8321dc1...
i
e8fe322c3d6403510ce1b6456d56bb68
The density method does not involve the Ahlfors-Beurling operator nor {{formula:78e93a37-75d4-4864-9499-813464103c5c}} spaces beyond {{formula:bc9df394-8044-4702-aec8-69a77965aa9f}} , {{formula:57435331-25c6-4a27-89c3-e5c072d33389}} . It involves the notion of distribution and the Sobolev space {{formula:bbfd367a-60d7...
i
3691e801ba86130846ebd939a7f5184e
Non-parametric methods find the sparse network by repeating a two-stage procedure that alternates between weight optimization and pruning {{cite:98fb82ca8a1088a6a3b754f72c25b7e8a564cf68}}, {{cite:68742ce04d5a73d92aa19cd982584999ed0b3df0}}, or by adding a proper sparsity-inducing regularizer on the weights to the objec...
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c07a39ae3380365f0826fc971dbdea46
Recent years have seen a lot of studies which focused on the application of network representation learning methods for recommender systems and the user response prediction. Motivated by the success of CNN and RNN, there has been an interest in developing neural network based models for the graph structured data. Consi...
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5481f44575662c7b52519394ab0c956c
There exist two main trends in the literature when it comes to measuring improvements in the learning capabilities of agents. One approach consists in measuring performance after a limited budget of interactions with the environment. While this type of evaluation has led to important progress {{cite:9a35092940d5f33b14b...
i
ee6aa981dfe900dde8993f694dac15ab
The main contribution of this paper is a lightweight transformer neural network that exploits only depth information of range images to achieve place recognition. Our approach is very fast to execute and at the same time yields very good recognition results. Based on the attention mechanism of the Transformer {{cite:45...
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cf8bbfac116722c8dc4a7d62600b346b
It is becoming increasingly common for companies to make use of machine learning (ML) predictions in their services {{cite:3944fac99c875f06a867af774d0d952186fa6ed1}}, {{cite:f866393c5540e6593439421a63c4bd255bd851db}}, {{cite:fb72e3763b25d7db7f900446f7fa815cba4b24c4}}, {{cite:b5fc7fe4039e20db7f2c1f82c0dd99beae345e7a}}. ...
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9605b687e9446d44b11e5be020fec1c8
Predicting an answer in a KBQA system depends on the ability of reading-comprehension that is responsible for fully absorbing and understanding the question {{cite:3a3bf63a97974812f934f4100338d1d11da02f74}}, {{cite:a97434ee8b3d9e95f0e171ace798ed3a74fae527}}. This is achieved by conducting a semantic and grammatical ana...
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5478b096c654b453774e17a5d8d4c93d
where {{formula:b6925347-7a38-48cb-bf44-dd269d064481}} 's are the Darboux coordinates of {{cite:36bd53ba4cb85531c7a894ed3f985432b4b3c278}}. The semi-classical analysis on the conjectured form of {{formula:c74a0476-cb0e-4097-8765-6756f5ddc972}} would be interesting and illuminating as in Ref. {{cite:7be463e1791be75f67...
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793450c4f9947c50611507eed4996b50
LDL on Discrete Datasets: We evaluate LDL on three datasets–Texas, Purchase, and Location– with discrete-valued features. In these cases, we used a {{formula:4822c0af-efda-4b72-bf55-224a18972106}} noise to generate perturbed variants of samples (Table REF ). Although using LDL was effective in reducing the value of {{...
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Black-box optimisation {{cite:4bb4d250164c9df36993c6c22af60ded05650b69}}, {{cite:40cc01c53d802fd6f456a1c563ceaa9ef77a31d8}} implies that the details of the objective function and its gradient information is unknown during searching optimal solutions. In HPO, hyperparameters can be evaluated on the objective function, b...
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We report an exhaustive comparative evaluation, comparing with several high performance but low parameters and multi-adds operations methods on five datasets, including FSRCNN {{cite:24d920eea74ac39d0f84d1deb93db2d13ce0d1cf}}, DRRN {{cite:968d9a0d94155cce51a4bfcce0ecf912b5928732}}, FALSR {{cite:4283834e6b0453d1215b1be6...
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Similar ideas have been introduced to neural networks recently {{cite:c5e8dc4633993347aca8aad10a3c9107e00a4cd8}}, {{cite:63e0009458c9fb28624966c85c13f447befc0aea}}, {{cite:0f5b351b835ecd6e4d8d8fc28658764f551bf765}}, {{cite:16940b580b527a1d200f14c87b976d7ed8b29280}}. In a stochastic thermodynamics setting, the change in...
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8441a2af10b7b2a25c824ea54d633592
The advent of recent blockchain technologies brings opportunities to overcome the above challenges of services computing. Blockchain was originally designed for digital currencies such as Bitcoin {{cite:1b7c63cb6202ee43fe20654d92b8d3b03c537181}} and Ethereum {{cite:2a73d0d74d63d3f48f8f333b5b4a887589ee5def}}. Thanks to ...
i
140ef13e001d9232b7fab1921832a4fe
Numerous studies have been proposed to address the problem of shape effects on the transport of particles in the continuum regime. From the pioneering theoretical work of Oberbeck {{cite:a338718a01afc3462ffa1a654b51efe890e5fbd6}} and Jeffery {{cite:3c76c9216e76308b4d0235c0b422deb78e009eac}}, who firstly investigated th...
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aaed6186a46452a504c54fed83c86b8b
In our evaluation, we assume that the query can include the target (e.g., individual {{formula:f1261277-9ac7-4c15-979a-6ebd3fac3674}} j{{formula:430ac581-5677-4b91-a500-9cbbf867b2a6}} ) with 1) a direct family member, 2) multiple family members, or 3) multiple family members, and other unrelated individuals. We compare...
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bf80be5f894e3f29c79da580ff56301f
Machine learning (ML) methods are now being deployed for decision-making in complex domains such as loan approvals and criminal justice. In many cases, an available ML-based policy may not generalize to situations not encountered during training. In practice, it may be safer to defer to a human expert when using the po...
i
2cd69a12f5db1083e30061528711ad3a
We applied the eigendecomposition-based standard DMD algorithm {{cite:c5fd208efe075c2491bfc0c5d364a53b4631eb04}}, supervised DMD ({{cite:f6c110979e63b23788658895d19f5c0c2e3eb5e9}}; we review it in related), and the proposed discriminant DMD to the synthetic dataset. Each method was set so that it would compute a dynami...
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8a2155075d67b77fb10398234763d802
converge in distribution to the process {{formula:762ec432-c00b-473f-8787-6a35630e0cc4}} whose generating function is represented by the Fredholm determinant with the extended Airy kernel {{formula:e2ddb6c3-f743-4c84-acd5-b5e9cea08f91}} {{cite:2522068d0b7a9605a565f18164675c73a54e2de2}}, {{cite:f2ad10651ff148e809c7b86...
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8ff310866c530d89cff59c695ece1d13
where {{formula:3f6da0e1-0487-40f0-ae08-9bf17192fa97}} represents virtual crystal and {{formula:5cea6b68-2bbc-4885-8995-2d10104f567e}} is the energy dependent self-energy determined by the coherent potential approach {{cite:ebe17ecc4c3a4c04bf6ab8e13b50bd54e68fa0c7}}, as the best known theory to estimate effect of all...
r
06a5b05163af8927b3bdbc01720cd0ae
where the binary encoder and decoder {{formula:8420d661-251a-4ba4-80e6-7d3aa904ce99}} are chosen optimally such that the average expected length of the binary string is within {{formula:e0debe6c-b6ac-4b1d-a618-3a1385c464c4}} of the entropy per symbol; see {{cite:9fcff637bc42aaacc34b6110945c6835225440f7}}.
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cb5146af2d93cde7be079f6d3e5a2ccb
Rubio de Francia's extrapolation theorem works for spaces of homogeneous type ({{cite:7cc1ae1c2373a930c0f2ae937ccd21113c94fc29}}). The arguments in the proof of {{cite:6016c8e8adeeb0424f346de78f086306e1b65c48}} allow us to deduce that if {{formula:bb643f94-f63c-41af-a997-b569e2c60b3b}} is an {{formula:ea6ca1ce-6475-40...
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e06eed6349e078999ccb1eb694e08661
Through this study, we gain several insights. We find that normalization layers affect robustness significantly. As shown in Fig. REF a-1, the better clean AP score the specific normalization layer achieves, so does a better CD. Seeing such a positive correlation between clean AP and CD is expected, and the same observ...
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f889c96dc7488a157a0f3f3219f5b24e
Results from the various SI models show considerable disagreement in the long-term evolution of TSI with estimated changes since the Maunder minimum ranging from 0.7 Wm{{formula:3d5f9d9e-e3f2-4eff-b3b9-0932e8c0fe83}} to 6 Wm{{formula:8e91e6bc-43a4-420a-b6fb-df94c2089d24}} {{cite:a5d64bcc2ca676e619020e0c1aa184dec2f48f...
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421cec32e0668f31a457b9e72402f375
This section elaborates our proposed BLGCN model and the corresponding HSI processing framework. First, we preprocess the input HSI raw data with the help of simple linear iterative cluster (SLIC) algorithm {{cite:43e0b3adcb76941f314c8a6aaafed6b56e3552c7}}, and construct feature matrix and adjacency matrix. After that,...
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1b72edd1d99b04468656e7d25724947b
A similar idea was recently pursued in {{cite:e5d49a1173fa082972dfb1dc36862a29c59886c2}} for the task of dense pose prediction {{cite:0fbaa1654bdbaf00c39358a5931f74cc2569c5b9}}. Just like 2D pose prediction estimates the location of a small number of distinctive object landmarks, dense pose estimation does so for a con...
i
1022f6ec481cfd2cbd54bed622af20bd
The measured angles of a frequency-dependent {{formula:6c5ae8c6-2ecb-44cf-bb47-2953e70ee833}} for {{formula:06196db1-df10-46a6-b779-2d61ac930233}}  GHz are shown in Fig. REF as a function of the fractional sky coverage {{formula:e8fe7d59-54a3-433f-bf56-b60f3b572913}} . The upper panel shows the probability distributi...
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9d5eef4dc8d8feb95947132dba84b1f8
Now we present some details of the training and validation for the following four numerical tests. In the training process, all the parameters in the neural network are first randomly initialized from the uniform distribution in the interval {{formula:352f945f-d9b6-4584-80ee-b866165cdfa0}} . Then, we update the paramet...
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1e702232fb3a35370fd660e6af7612cd
Repeated cross validation is not the only technique for evaluating candidate models. For instance, the method of stability selection described by {{cite:f168851f2389ec9fffc8319c0a13361b9e3bf4a7}} is attractive for its theoretical finite-sample guarantees in controlling family-wise errors. Alternatively, selecting featu...
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e0a4aaa62dd50e3ea7be23446fc11c56
Interval Censoring. We have made the “no gap” assumption in the current paper to focus on the right censoring problem for simplicity. However, in practice, it is possible that there might be gaps between the clinical trial and observational follow-up dataset. Thus, to fully deal with the problem, we need to extend our...
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4814947c852a030a6264c52b28a59bb4
This kind of methods have as aim to compress an image losing the several information starting from reducing the color space like chroma subsampling method and any Transform coding which belongs an important transform such as Discrete Cosine Transform {{cite:acde3e6fe73f4e3c9412a9369630933e2b795868}}.
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Figure 2(a) provides an UMAP visualisation {{cite:8ae5a3b49352049b45dba44178459c764f06649e}} which illustrates the class separability achieved using only the three most discriminant dimensions (umap1 to umap3) obtained after the dimensionality reduction of the HSI-LBP feature space. In Fig. 2(b) it is noticeable that t...
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25d0267b2e78cbf4dca6f24a47440227
Broader Impact. Like most self-supervised approaches, our approach is data hungry and trained using a large amount of unlabeled data collected from the Internet. Our model in its current form is prone to learning and amplifying the biases present in the dataset, especially if the dataset in question is not carefully cu...
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We initially carried out first principles calculations using the generalized gradient approximation (GGA){{cite:b6ede9e9b2444e6ce2e2a36694fbed1b32128a86}} for exchange and correlation, which is implemented in the all-electron full-potential code wien2k {{cite:af9efe02df0afb709153f3879a5e686fcbfe4c8b}}. The results for ...
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b8cba1902642bd89e7044d09fcad30fb
For each algorithm, {{formula:db677d05-10ad-4639-8732-29a84b2c0131}} is equal to PMI or a scaled log of {{formula:31437182-f4eb-4d7f-87c7-73ed1a334c82}} . Yet, the choice of {{formula:9a2a4e58-7df9-4e28-a724-9b48ec59f6a2}} in combination with {{formula:261658fc-d364-4ca9-9d01-fbd57c89cb07}} provides that every model...
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3e5692b730d79d4fa372e3b90ccd9d9c
The Hölder family contains a large class of smooth functions, and has been widely adopted in existing nonparametric statistics literature for various problems {{cite:e1669cbee2eb14ea68bbb54ff0977c1e64ec37ba}}, {{cite:7c5e0e88d362ad0bb8c696d729148cbcfddd0ad3}}, {{cite:b652046da99324bbb53a3be5346f1aaefcd418c0}}. For MDP,...
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bed6985695c5ff25b872a350c7765f63
In this paper, we address the above challenges by proposing a representation learning framework with multi-channel feature exchange for aligning incomplete knowledge graphs from different domains. To capture the multi-domain nature of KG entities, we develop a graph attention convolutional network that can combine the ...
i
8e940c3280dccd9deb8c8bd71aaa3d08
The pre-trained language model is the uncased base BERT from Huggingface's Transformers package {{cite:234720b5cfaafbe1516db22af882b76ada68ffd1}} with an embedding dimension of {{formula:c805a2b0-f07e-4630-9f9a-68709940d549}} . The pre-trained word embedding layer is the cased Common Crawl version of GloVE, which has a...
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77367bde06d5e2ec8e9c5ce3b884265b
The adversarial attack to speaker identification aims to make an identification system wrongly recognize the adversarial voice of a source speaker as a targeted imposter speaker, where the adversarial voice, a.k.a. adversarial example, is produced by adding human-imperceptible noise to the speech of the source speaker....
i
73f57103d61439da44c02b62a6bbdd96
We present some recent tasks on the physical processes dominated by the magnetic field. Magnetic reconnection can be calculated as a traditional megnetohydrodynamics (MHD) process. Turbulent reconnection was firstly mentioned by {{cite:f8a181d0b7261f9b59d703fe8be640052895bd6d}}, and it was applied to the relativistic p...
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4abddfb9bea319a9214e242086a19ff4
Patch-wise weighted sum: Our fusion method uses attention mechanism also utilized in GANimation {{cite:2912ee748d8c6c225630220bdfa3891308d4788d}}. Inside the fusion unit, convolution with shared weights is applied to each of {{formula:50414d78-9f66-4d53-b194-bc1fd4f14db0}} warped features and outputs single channel ...
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df092fb32b674ac4efcdb33f48108e44
Coupling two normal leads to a superconductor can give rise to non-local transport processes directly involving both leads. Two opposite-spin electrons from a Cooper pair in the superconductor can be split into the leads via a process known as Cooper pair splitting (CPS). The dominant transport mechanism that gives ris...
i
29eeffddf46d2214ec4b0f04ed02a26d
I will soon start from the beginning and define a matroid and its Orlik-Solomon algebra and holonomy Lie algebra, but first I will give some background from topology and cohomology. A (central) hyperplane arrangement is a finite number of subspaces of codimension one in a finite dimensional vector space over {{formula...
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3b7e18746a7f03abc0052b562f5f51e1
A novel method is proposed to tackle the issues in modelling cognitive load, as discussed in the previous sections, followed by an empirical study to validate such a method. Contrary to all the existing methods of cognitive load modeling, the method proposed here is self-supervised {{cite:6e88150146082c7d213ce5dc6ca2b9...
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Large-scale deep neural network models have an extraordinary capacity to generate linguistic continuations of natural language prompts {{cite:0b2aedfe359f7a4530267acc4ad8fd6ea2bd0812}}, {{cite:a5e69ec46191a1228945073b63bf5790f836b32b}}. The models provide the probability of words given a context captured by preceded se...
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f4a53c8d5b40afb86e002d38baba0b6b
UNet {{cite:cbe80cb20e8ce026453e9a236e53229ef86028b3}} was originally proposed for medical image segmentation. We use a variant that adds residual connections in each convolution block as the backbone network in this work. Details of the backbone network is given in the Supplementary Material.
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We propose EdiTTS, a score-based speech editing framework that enables phoneme-level editing of pitch and audio content. EdiTTS does not require any additional data, training, or architectural modifications to the model. Unlike score-based image editing methods, which directly modify the input, EdiTTS induces editing b...
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640657a9fc09774af067152476b3b6d4
While the population synthesis models are often referred to as theoretical models, it might be more reasonable to consider them to be methods that attempt to interpret observational constraints in terms of the many complicated physical processes that are thought to be involved in the formation of planets. As mentioned ...
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9e6038d0477fef3d2e693d3bec76e553
Remark 1.2 It is well-known (see {{cite:f4eb4c05167a7866b620bf866f22c2bcbd6a8815}}) that convergence in {{formula:6e2c7369-4f88-408b-aaf4-9d147931ce7f}} does indeed entail pointwise convergence in the case of Reproducing Kernel Hilbert Spaces (RKHS). Because the space of spherical eigenfunctions is indeed a RKHS, agai...
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We compared our proposed framework with two recent methods designed for multiple OAR segmentation from head and neck images: FocusNet {{cite:a22c78bf72a1305b5da6a151f691dcbd2e99c459}} that is an end-to-end two-stage CNN adopting a segmentation-by-detection strategy, and 3D SepNet {{cite:ddb96b45e379fad077578d971c9c92ba...
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With the rapid development of deep learning in the last decade, deep neural networks (DNNs) have become the predominant models in various fields, including computer vision, natural language processing (NLP), etc. However, for a long time till today, DNNs have always been criticized as being excessively large to be depl...
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ecad4545b2fdf1f3224eb130e3ac74db
As a general framework, Ask-RFFs also covers symmetric kernels, including PD and indefinite ones. In that case, the complex measures reduce to real signed measures, i.e., {{formula:7602371c-0ae4-456b-9ffd-e9f260e4da64}} . Then the proposed AsK-RFF is equivalent to that in {{cite:d9b2baa8dfda69de43ec93d38eba8644090f3792...
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c677ea0eb7d5263a9901b31f659c94e6
Our results are in line with {{cite:6580049c0ed21f141160bc4660564cfedf2d2e4a}}, who showed the improved convergence of Disc-Opt over the Opt-Disc approach on image classification tasks. Here, we show similar properties for time-series regression and CNFs using several numerical examples. These applications differ from ...
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f1077f44dc6994b811fecab3f2bba02c
{{formula:412e72e8-2906-4a8b-a0fd-d816d03803c4}} Doradus shows an excellent agreement between the frequencies found in photometry and spectroscopy. This has not always been the case for previously studied {{formula:a195549d-b283-4165-abef-2616863bd733}} Dor stars (e.g. {{cite:36a859d8a6e3cf9f96a4d2a23c741eb02847df7c}...
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Then we confirmed the upper-bounds performance of the segmenter on the target domain and report it as Seg-CT. Generally, these results are comparable to the standard U-Net {{cite:f9bad2193df8dc43181c7f069ce31f0374b333c6}} and cascaded-FCN {{cite:5e7561e09a9004bbf8c29ad388ceb08fd2b7895b}} methods. Furthermore, comparing...
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1944ff4fc24c407ab2a310371b7349c9
To alleviate the exponential computation and memory requirements of training GCNs with multiple graph convolutional layers, and correspondingly improve their scalability, sampling-based methods, such as node-wise sampling {{cite:2a5680463024b1c0c8ffa8e4c882388845e443d8}}, {{cite:f0c7b4782c9ef3d5cf8ec24a18ea0bea8f0ee2d4...
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28c952f6b82a7f0a3bc32ffe66babc27
Here, we only investigated outlier explanation for tabular data. Applying SPNs to the closely related task of image anomaly localization {{cite:ad599b003d7488381ae4e7d375e60c44292cb790}} is a possible next step. For this task, SPNs suitable for images (like Deep Convolutional SPNs {{cite:17c94291dd4a0496e79d9dc3e2702b7...
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Video analysis. Individual cells were cropped from the acquired video data using the cell wall PI signal using Fiji (ImageJ) {{cite:d41c3a7af032bc7c8b9f60f2d48aea42a4b1925b}}. The size of each video was scaled to the universal length scale 5.0 pixels/{{formula:3efffe63-d7da-49a3-b65f-4bd6d6dd6704}} m. We then extracted...
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Finally, a very recent constraint comes from the measure of the radius of the massive pulsar PSR J0740+6620 made by the NICER x-ray telescope. This is related to how squeezable are the neutron stars and allows us to put a inferior limit to the radius of a two solar mass object. A inferior bound of 11.4 km, 12.2 km, 11....
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This approach has been studied in various previous works {{cite:0c7abf17a063f37bba4d46af4b0daf0ff9caf870}}, {{cite:73fbb8d3c1419a8d4b6a2baeef1d1a94884350dc}}, {{cite:86e1c3d91e1cdfb0e5a8b3ef22107c52ddd11f9f}}, {{cite:3556c298932284eda93454d3ce7a5f153abb88e7}}, {{cite:db2ada80754a9991d29797df9dcce59faae0232b}}, {{cite:d...
i
e9e68d3ec139444050a4a60b6d90297b
As other types of transfer learning approaches typically require a large dataset for knowledge transfer (many based on deep neural networks {{cite:dda7a2430a761ea1899553a865e811fe496004e1}}), it is not feasible in our case as we have TMA images from many other cancer types but each with only a small sample. {{figure:a6...
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68ad69c70003b2cb37998202f938402b
In general, to constrain the parameter spaces of the present models, we have modified the codes proposed in the MCMC method {{cite:b2a5e4892b3d74e1516a74d98ad8a37754aac498}}. There are three statistical analyses that we have done to calculate the best-fit parameters: The first was done on a non-interacting model so-cal...
m
5254ffed1a4fde67db20ea669f87d66c
Even though a direct attempt at generalizing thm:dagnew to all directed graphs fails, one might hope for some analogue of thm:dagnew that does hold more generally. One interpretation of the above counterexample is that the exact statement of thm:dagnew is not the “right” framework for getting a local-to-global shortest...
r
5ff155916f1f576d8673588697ea0ed9
where {{formula:d3013820-c94e-4e18-83b3-382d51ce3484}} is the original image, {{formula:10c09b78-fd96-46e2-8845-796618ce33a1}} is the final perturbation, and the last summand is a constant term only depending on the size of the image. As {{formula:2a0323e4-db8b-4504-8e09-443fc1f0115e}} perturbs every pixel by a smal...
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93b2b8a55bf53c45217262116fdb4ba5
We tackle the computational bottleneck of GPR and introduce an ensemble approach in the spirit of the mixture-of-experts method.Alternative ensemble approaches proposed in the literature include the product of GP experts in {{cite:40b1b0c13c120d211cd1f55d080ffa00468b9c41}}, the generalised product of experts in {{cite:...
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ffcdb0a08ab9409f38ee89caca34c42e
However, there are optimization scenarios where even zero-order access is unavailable or unreliable. Indeed, studies have shown that it is often easier, faster and involves lesser bias to collect feedback on a relative scale rather than asking for reward/loss feedback on an absolute scale. For example to understand the...
i
818be16a92c1dd7c9bf0c02452beb7aa
Compared Methods. We compare our method against 13 cutting-edge competitors, including (1) FPN {{cite:7e0b8abde4786f1d2c798aef808d4dcd242fc728}}, (2) MaskRC {{cite:a7da8f6082ddff02a6530ac96626ed225f38852c}}, (3) PSPNet {{cite:dc6f1eb4555cc6447d07ffd3dc73090e6329189e}}, (4) UNet++ {{cite:e4f770d84e5f5e561e3db5d449d9a75...
m
05df4082146fc12ce94cde991fc2c961
Over the reals, Elekes and Ruzsa observed in {{cite:6298985bbc12d36536a19ae8836fc01f52088551}} that the Szemerédi-Trotter point-line incidence theorem {{cite:96c4f74306b99c0f3f73ca59b462884fe8b08960}} implies {{formula:a1ba733b-ba74-40f7-8bd0-2e1378b1eeea}}
d
57ea835d3d2ee667c464f70a6da3fb04
Reflective and Transparent Surface: Our depth estimation has limitations for reflective and transparent surfaces such as glass or water. An example of these limitations are shown in eqviews (Hill scene), where our method contains ghosting artifacts on the glass window. The Multi-Plane Image (MPI) representation has dem...
d
f7e3318effddbcabf0bde2b5f9907ba6
Compared to the existing game-theoretic models for explaining oscillatory behaviors, our pairwise game model does not require three or more species {{cite:6fc847eec4806437a5dd845f5f6f312af91ad34a}}, or seek for other complex mechanisms such as mobility or conformity {{cite:d491026a72460438c65145236501cf70acd2f1da}}, {{...
d
d847bb7d1ed6d69ec159e6ffd0435ab5
Paired setting. In the paired setting, we use the Structure Similarity Index Measure (SSIM) {{cite:0783f17182a96a59e252fb2f630a7e10146b56b9}}, the Peak Signal-to-Noise Ratio (PNSR) {{cite:739cd4d455374c17cac0d8015165292807e34ee2}} and the Fréchet Inception Distance(FID) {{cite:9bdb40f5f2344e4bc63963fa9b4912c348c6cb2b}}...
r
b64ac79120268ab20fd35ff3538fcd1d
Image understanding can be described as the process of automatically analyzing unstructured image data in order to extract knowledge for specific tasks. Automatically assigning images to pre-defined categories (i.e., image categorization) is one important form of image understanding and an area in which we observed sub...
i
1b0fb9e095b5a23a0292f1f01ba664b4
We combine our loss function with open source SOTA methods (FIDT {{cite:93ad20e28063dbbd2c44f9341bb826d6134990c9}} and FDC {{cite:a9e273ed90d023f6409a6628d445c70123b2efd7}}) by using our loss to replace L2 loss in the counting regression of these methods. For FDC, we reproduce the experiment with ConvNeXtS as the backb...
m
fe4a8a3eb74c322be4c5b62c4c757021
Furthermore, we have compared the eRAR with the alleged universal functional form of the RAR (i.e. Eq. (1)), but not the actual distribution of the sRAR (i.e. {{formula:44736e98-c6a2-4ef7-ab8f-ef68b165cf53}} ). In fact, our objective is not going to compare the distributions of the {{formula:7975a71e-e99a-4912-9efd-d11...
d
5a837fcb3b9b9387a6bc29f6a365cfb6
Let {{formula:534ce4af-075d-4bf9-8935-025d97e0c17a}} be a set of parametric components and {{formula:a0d33b7e-1e17-450c-a77f-e16122f581d7}} a mapping. Then, the equivalence problem for FOEIL sentences over {{formula:abb82707-259b-403c-b338-a3287b6b5b36}} w.r.t. {{formula:5a2f7291-37ae-4aac-92d3-d321d53f1a00}} is de...
r
10e194ee6d50efbcb1b762778119b504
The observed vertical patterns of velocity ellipsoid help us to revisit the nature of the disk flaring. We find that the flaring of the disk begins near the solar position, which agrees with the findings of {{cite:8ec926550f0e2a7d02e24f4de6e60b9390e6a745}}. The position where the flaring starts to manifests itself is n...
d
884d5cd0fc80dff70b80484e0c82693e
Neuromorphic computers perform computations by emulating the human brain {{cite:0bcfa62de1c01fd9f8d442252609788fd59bfcee}}. Akin to the human brain, they are extremely energy efficient in performing computations {{cite:1d3fe463d2650c3bcf69a3cb858680070f9a7c3d}}. For instance, while CPUs and GPUs consume around 70 W and...
i
cbb825ff40d5159382fad26df954175e
We mention experimentally obtained material parameters of a double-wall nanotube structure{{cite:40c60af3fcd2fca5c76e811c7867ed495ca90e58}}. Nanotube length is 10nm and the intertube gap length is 0.3nm. The diameter of a nanotube is 10nm{{cite:bab58dc9323c1bdded3438b49490083a6563f8ef}}. Q factor{{cite:857a268b77ae7c68...
d
152b84adde3677c88273ea19c82e6d2f
To intuitively illustrate the topological magnon transport carried by chiral edge states, we choose some unit cells of the kagome lattice strip as a center region and set the rest as two semi-infinite leads in equilibrium at temperatures {{formula:5c48d33a-ef09-49d9-b4be-ad54dc9706d3}} and {{formula:722e5a86-1766-48cf...
m
97c137c92d8766307b24fd81c96ef8b5
Ultrahigh energy cosmic rays and neutrinos are of interest as possible probes of new physics {{cite:ad903cbe9150c72ca839f9bf83db1dfa1d39bbb7}}. In particular, some quantum gravity models predict that Lorentz invariance may be weakly broken at the very high energies, leading to potentially observable consequences. The p...
i
c327b84dfbb80352f50a6a707945b2c7
We remark that there has been a few works that draw attention to the potential problems of widely used graph datasets. Specifically, {{cite:abdf30accb9d74f619e2b2b5d5760fcc9d6fcda1}} observe that even by using simple graph features such as the number of nodes, they could achieve similar classification performance on co...
m
13d9f3f01c47c479fb77200f21ed004f
It is well known that including delays within a DE model of population dynamics can lead to major changes to its behaviour, such as causing instability, oscillations, and extinction, which are not observed in a corresponding ordinary DE model {{cite:a7dbccfcb114f22d99f1cf22d650a53afc651b98}}. The famous Hutchinson equa...
i
f64d2e2b51b8cfb3fb9b5924f1c5fb89
Both our misalignment-induced splitting and the slight upturn at low temperatures are consistent with the distortion-based dipolar spin-ice model (d-DSM) {{cite:d0376a2b839fb15b4637c2290ddbe1b9cfecf855}}, which builds upon previous theoretical models {{cite:5ede464c9456e6d95dc308a6932e7a62f4c3202f}}, {{cite:3dc50cead02...
d
c24ae9dc30e4cd4d59afa09d9b5fee18
In this section we describe the fitting methodology that is used in this work to map the EFT parameter space spanned by the Higgs, diboson, and top quark data. In addition to results obtained with the Monte Carlo replica fitting (MCfit) method presented in Ref. {{cite:f515b9662ac5e86979e90af25c6fcee78d4b0d94}}, now we ...
m
b454bfaaa38444df0dc78bdab3ed34e7
Our model is based on a standard framework of firing-rate neural networks {{cite:dc4b2c63215374e1f0babc94840f97b145403303}}. It consists of {{formula:ebaaf9ba-ffab-4a9c-99eb-e64b564ba685}} recurrently connected neurons, with {{formula:21dda288-3bf9-44f9-928f-72cc84c9c6b3}} the synaptic connection strength from neuron...
r
7b24b32544f662647e04c1b0492cef1a
All experiments are performed in POLARIS GEM e2 autonomous vehicle platform shown in REF . It is equipped with Velodyne VLP-16 LiDAR used for localization and mapping, dual NVIDIA RTX 2080Ti GPU for GPU-accelerated edge computing, and drive by wire systems for steering, brake, gear, and acceleration controls. The entir...
r
8a22729e855cc1867ac792ec09aaa5d9
The phases of the minima are dramatically changing in this system. The variations of the pre-whitened light curves indicate that the spotted areas are not stable on the component. In the pre-whitened light curves of the season 2003, two minima are seen separately from each other. In the season 2005, the pre-whitened li...
r
c3766a15d04189b425b08e3e26b4aad4
THE discrete cosine transform (DCT) {{cite:8c1cb61fb4ec9ed5dab35b5f674276500f971385}} is one of the most common tools in various signal processing applications. Among the eight types (I to VIII) of DCT, type II is known to be especially effective for image processing and has been used in many practical applications, su...
i
9bfbfa11e19637e3cc90976f38879e6b
   To derive low-energy effective Hamiltonians, we performed first-principles calculations based on DFT.{{cite:2cb0443574083a7fd4ffa185c77e9baf9b26a516}}, {{cite:0686e7a873191e476cc9e102977f50d1691275da}} We used the generalized gradient approximation (GGA) proposed by Perdew, Burke, and Ernzerhof (PBE) as the exchange...
m
65753d309a1d11d5d5859cdc21d02df9
The sideband signal encodes the position-fluctuations spectrum of the mechanical mode. At low drive powers, the area of the measured peaks with blue and red pumping (Stokes and Anti-Stokes sidebands) are proportional to {{formula:16619390-2731-4f7f-829f-0be3855365d2}} and {{formula:74bf5ac1-ee50-4146-8187-473be36c5c51...
r
88066c0e904207ad74d4d704e039c913
Direct numerical simulations of SCF satisfying the Navier-Stokes equations were performed recently {{cite:b724e72a70acc3a7365fd57211eef1f2050658dc}}. Using the equilibrium states obtained from the simulations as seeds, the spiral states with {{formula:659ba04b-1ade-428c-a605-8ec6616ebe33}} , and 2 were solved using the...
r
56ea6263a4d0419c72abb53d0aaadf8f