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{{formula:0129d02f-63cd-4ac4-9774-4893bedd0016}} is the dilogarithm function {{cite:6701adbb873a88466ef748d006c2f9960a93e25d}}, and {{formula:00cc28e3-a653-4de1-af1e-e872277a1f18}} is the principle branch of the Lambert {{formula:edfb6d89-60fb-4b87-b97f-d4113bb9ee78}} function {{cite:64bea5a6a980c31af52be98c4cb109c...
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(8) The Einstein's equations are supposed to be valid in all reference frames {{cite:dc0685bc1e53f49c526e7fd942170f90a4594c42}}, {{cite:c03a041e73bf3ee325952cb5a79cc4bf79cca231}}, {{cite:3d33c1d4a93c2480767bc1ad25f3656fdb167c24}}. However, in our theory the generalized Einstein's equations (REF ) are valid only in some...
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Relationship Retrieval (RR). This can be further divided into three sub-tasks. (1) Predicate Classification (PredCls): the same as Predicate Det.. (2) Scene Graph Classification (SGCls) (Fig.REF (b)): its input is a ground true bounding box without labels. (3) Scene Graph Detection (SGDet): detects scene graphs from s...
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where now the {{formula:f9aaf9c9-531a-42b2-a0fa-ee487c495235}} are locally determined for {{formula:1edcc726-1987-4367-9eb4-9965b4dd5229}} even and {{formula:15b4d6dc-3236-4c7b-a605-f5aaaa328628}} , {{formula:5c77d225-3198-4460-89ee-7cafbf9190de}} is locally determined and trace-free, the trace of {{formula:0353a297...
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Finally, CGNN {{cite:40c8c2445afe65c16693cb4db745e0d8c2b3e1ec}} represents the rather novel influence of deep learning methods. We use the implementation provided by the authors, with itself uses Python with the Tensorflow {{cite:1ae5db3f3a0215c8edf7d8dd30736ece8b483f8f}} library. The most critical hyper-parameter here...
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In addition to interesting applications such as the randomness amplification, interactive proofs and quantum games {{cite:a0d5177bbf40dd03b459469ea6e2e8d8ee10feeb}}, {{cite:01e622a41354cd243f349a33d43210de8de07477}}, {{cite:ca18427920ab465dfce8882dbf6c0583f0fe21f9}}, {{cite:afcae6b312b6f35f373fab71a88ba0709fd1e6e2}}, {...
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abd1c4e6c4f0b61176244e576d43a34c
Building on this analogy, the quantities described in Eq. REF and Eq. REF implicitly model an individual's activity space as a circle, and have been used in a variety of contexts {{cite:e6fb302e0246715552b9fe1cab367ebf9d897876}}, {{cite:939c2b1ecf165136203dc74085fa06dfc101b271}}, {{cite:c41d6dc230618047efef190b4706dd...
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af001e0fc8047b3e989bf9205c4b06e6
We created a pipeline to make multi-band photometric measurements of all objects detected in the optical and infrared imaging in the 13{{formula:d301f7b3-a079-447d-9955-1849eb7b8c16}} field. First, a master catalogue of optical and infrared detections was created using SExtractor {{cite:2a86d1ca42645b4810c7c026957d091...
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In terms of empirical performance, it has been reported that RR outperforms the full gradient descent method for large-scale instances of problem (REF ); see {{cite:662f1bde268ee7f59fec69f23e05ca949fc1d59d}} for more details. Due to such a superiority, RR is used in a vast variety of engineering fields. Most notably, R...
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c7d76177e72bf380705f4917bf93d2fd
In this paper, we study a deep neural network approximation for the energy and the underlying electronic fields in a unit cell of magnesium subjected to strain. We generate data by repeatedly solving the unit cell problem and use it to train a deep neural network. An important challenge is the representation of the ele...
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3372602acbc23a485b5209b476221ecf
The predicted radio SZ has a steep scaling towards low frequencies (see Fig. REF ). As such, it could become an important foreground for standard 21cm fluctuation measurements. The signal is expected to spatially correlate with the standard Compton-{{formula:67949e48-a99f-4d92-bb54-effa2d4f0f78}} map and therefore can...
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Spin-pumping {{cite:66822dc504ee7b11edb6805bb4000d4cd3f09411}}, {{cite:354033cdff0a487851de8044b4026fb82c019de8}} is an effect where a spin current is injected from a ferromagnet with a precessing magnetization into a material in contact with the ferromagnet. Its reciprocal effect is spin-transfer torque {{cite:1e41d03...
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b8ce5a9260129a5d5ba3afd5e8b1b14d
After an ablation study to select parameters, we choose a few top performers to bench mark our algorithm. On the ECCV22-MIA {{cite:095a2bf1dc28f23e1c47f11e37f353a3bfc33467}} validation dataset, the benchmark results are listed in Table 2. In this table, the F1 scores are presented.
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Since {{formula:c208d490-b60e-4f4e-ac3f-8e0dae11a36d}} , {{formula:1273a2f2-7639-45e5-b1a7-a554b0c7f535}} is bounded from above and, hence, {{formula:95e54464-124b-4875-8b1b-bdd36a67a882}} . Applying {{cite:0d6f2f9fed396f9ad298f5ee45d19f93b379bab4}}, it now follows that {{formula:c2f9ef57-4e41-40c2-9150-154e3d2d8056}}...
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Statistical methods also can be roughly divided into two estimation paradigms, i.e., estimation by definition and correlation between visibility and feature respectively, and both of them are data-driven methods. For definition estimation, it is to estimate the farthest visible object in the scene. For example, Pomerle...
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This section presents the experimental results concerning the DBNs and the proposed approaches, i.e., the A-DBN and the G-DBN, applied to the task of event recognition. All models follow the work of Ng et al. {{cite:fe093175a2ebdb304dc7a5f78873b9399aef6170}}, using 6 frames per video clip uniformly distributed over tim...
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Most of the existing methods learn representations in high dimensional vector spaces. Consequently, the curse of dimensionality {{cite:b441cfeb43e700c83eea091a2b2176750c71ad7b}} leads to the formation of hub nodes {{cite:4ebb18fb146eaca4cfccec240d3e1d2ac7632a7c}} that become nearest neighbours of many smaller degree no...
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Tables REF compares the validation errors of ResNet-50 using standalone and hybrid training strategies, respectively. The results are very coherent with the ones of AlexNet. For the standalone training protocol, Our proposed SVD-Padé method improves the ordinary SVD algorithm by 0.3 % in validation error and outperfor...
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245fd976e581acf74d9ca45f58398b4d
Overlapped speech detection. Finding good and reproducible baselines for the overlapped speech detection task proved to be a difficult task. We thank Kunesova et al. {{cite:e716e6041e388e7de71a165efa56e1ce4c351f5f}} and Landini et al. {{cite:70b9a908088446f1d696e61349e49633efaffd41}} for sharing the output of their de...
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In Section 2, we have seen that the propensity score estimation problem reduces to the density ratio estimation problem. Density ratio estimation (DRE), the problem of estimating the ratio of two density functions for two different populations, is a fundamental problem in machine learning {{cite:86f2bab8e92c557e6fc6422...
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COCO object detection and segmentation. In Table REF , we compare the performance of our approach to existing pre-training schemes by fine-tuning a Mask R-CNN FPN model. We followed the training settings in  {{cite:ed7db9d7c131b864b3287f3c82cf0536bc279b13}}: the model is trained on the COCO train2017 subset and tested ...
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This result also has implications for optimization. There has been considerable interest recently in sharpness-aware optimizers (for example {{cite:e2831dfadaacc6f7b94335e918eb5f303f5e7fde}}). This result indicates that minimizing sharpness in the top direction is not possible and probably not desirable, while leaving ...
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189da752c1b2f20a908e3fa47b77626f
The most direct way of observing the impact of the nuclear structure via this method is through comparing observables measured in collisions of species that are close in mass. Isobars, i.e., nuclides having the same mass number, are ideal candidates for such studies {{cite:b19f1ac62534e8e4a7a1e5c4f4828c3fbc5714d0}}, as...
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In the present contribution, we aim to assess in detail the full potential of the nudging approach for unsteady flow estimation in an aerodynamic context, based on URANS modelling and synthetic velocity data. The unsteady turbulent flow around a square cylinder at {{formula:f092967d-5eef-4b8a-8cc8-6dc8f6eeed46}} is ch...
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ee36cd96ceea78b9b3bbf25e3b9bceac
Although equilibrium shapes of membrane systems are relatively well understood {{cite:16abc01bdf9ca55f362fd263a4eca3c4b17ab9eb}}, {{cite:9a29b67dcc6ef2ab297f9f8cc9fd2d098f711b7b}}, {{cite:cf98372c3bfeeef6a0aac06ab706707975d227e4}}, {{cite:1e0ca69c851d2d7932a9ab0011921834747d40e6}}, {{cite:5eb709e5ebaad3d5fa2e6b7528d446...
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However, as is illustrated in Fig. REF , PSNR is not a good metric to assess the effect of hiding visual information. Fig. REF (b) has a lower PSNR than Fig. REF (c), while the visual information (e.g., the birds and the leaf) are more easily identified in Fig. REF (b) than in Fig. REF (c). To solve this problem, a fea...
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A recurrent or large transformer {{cite:8fd7cd2f3b20e47e35effd07d9412bd1560b9d11}}, {{cite:71661f39b686a43095de5788c10058717c48f34f}} network architecture may further increase the performance as the network would be able to infer the rules over a longer sequence of observations and eventually correct for mistakes done ...
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44640b0ec888ee1ddea6bd62192ed7ce
Training with the adversarial loss, alone, usually introduces additional artifacts, and previous works often use MSE loss to induce the learning {{cite:8736b4706318b3f7b069e734ee52733aa091d831}}. However, as shown by {{cite:384267b86bf62597744c2c789f365b5695f93bda}}, MSE loss does not handle streak artifacts very well....
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The ConvLSTM cell-based neural networks used here are efficient in encoding {{formula:b7579a3e-895c-4638-8b00-d96d654f9b1f}} spatio-temporal information and representation of features. Equally importantly, FUVAI takes advantage of the attention mechanism followed by multi-scale features in each decoder block, and achi...
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2109b58a8043d5599b26f1f131ead7a8
In this section, we show the comparison of our method RAP and EOT {{cite:2f0bcbfea9698700a1e6ec3ecc8357bb9e17b709}}, VT {{cite:70b431edea6d26354f22bf8048026fc8c7dfff3d}}, EMI {{cite:adb2db914797b7123f3b385dbe616b4de11e9a8a}}, and Ghost Net {{cite:f1e81cbb51d6de043b774f3b0f00cf418c2cc98a}} attack methods.
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ec1c65eb48acb48ee7d5efb74c9a907c
The propagating nonlinear pulses were found in an implicit form, and turned out to be close to Korteweg-de Vries (KdV) solitons {{cite:0832678666e6d796bbd640c16c16dc8b39904193}} in some asymptotic limit; both numerical studies on the model proposed and experiments verified the theoretical predictions {{cite:1f546c3a8d3...
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453aec25469805e4f5182c64b54d24d1
Rather than relying on the difficult sparse outliers identification as done in {{cite:884b88b1b1e38c2d545860d8588a9c420a94af49}}, the main idea of this work comes from {{formula:a4ca7ca1-2d1c-437c-b2b7-0c2cc44d0af4}} -space random subsampling, which can eliminate sparse outliers in {{formula:89b51f48-5b73-42d8-b026-a52...
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01a5f6322cf7e70cd0d6b7e5590834c8
Let us consider now MWI. The main difference between this interpretation and the typicalistic formulation is that the latter assumes the position of the particle as the primitive ontology, i.e., it adds the sample space {{formula:e95f2d11-9f83-40cd-a097-0ca1f9c237d4}} to the mathematical formalism of the theory. On th...
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621fecd26e2ecc18a624a172655446cc
BLE is Laplacian Eigenmaps (LE) {{cite:14c7850d817e4ab94e640b3858e33352a71f5252}} with the most informative view, i.e., one that achieves the best performance with LE. BLLE is Locality Linear Embedding (LLE) {{cite:3dad87d0e79fec3f425dc1e94c5b83daba6b9a24}} with the most informative view, similar to BLE. MSE {{cite:...
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Another interesting direction of future research is assessing the power of quantum processors {{cite:1f76bd756a31b98333a82a15f06ead6442e5547a}}, {{cite:547cf701e926b57185e8ca16c1ead7389bb8e8d8}}. It has been often pointed out that the number of qubits in a quantum processor is not an appropriate measure, because the pr...
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e94d08189d09227c48d337e2d152f41c
The resulting dataset contained a total of 4259 sequences of length up to 910 characters, with vocabulary of 21 amino acids (A, C, D, E, F, G, H, I, K, L, M, N, P, Q, R, S, T, V, W, X, Y). We use 60/20/20 ratio to create train/val/test split, resulting in 2548, 876 and 835 sequences respectively, maintaining the positi...
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524438524b84b0b640fa4efd8816bc2e
The function {{formula:b8f68d2a-612a-4c92-b06c-83048f0f49ac}} is concave, positive, and satisfies {{formula:69f2b82f-a158-4a54-8e3a-a2945491e930}} . Assume w.l.o.g. that {{formula:34075adc-cdc9-4721-92eb-be92dfcdbf4d}} . The proof for the case {{formula:fab0539c-4938-4f6f-8c30-22db01637643}} was explained in {{cite:3...
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7693cdb00e869baa889e469e8c277cd2
(iv) We find that the proposed geometric alignment objective is beneficial even when the target sample size is limited or when the source model was obtained via robust training {{cite:b8f3ddb8fb38282e97d2cbfd9da752c14b4994f3}}.
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3bd3cf09b81504465edf282d6412b63f
The fake news classification is not limited to the linguistic analysis of documents. The studies analysing different kinds of attributes which may be of use in the same setting {{cite:f4b70daeeeadab8d4a501dfbddd485d6eb5b5be9}} are interesting. Amidst the typical methods that the study comprises, there are the analyses ...
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485f582b7c6f98c4fc8d2e4c0a989a84
A rigid body {{cite:4797bb41e2011c647c1851ed820ba5fb0b3ed481}}, {{cite:0e4fe96057098a3f5485987e83f45624fbc3b64d}}, {{cite:07b2a660f66e35004d52676f9d690ccd3a1bcd30}} that conducts Brownian motion can translate and rotate in space. Most interestingly, in scenarios where the particle is screwlike {{cite:f41efc01efe460077c...
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eadf53a4eedddd5a541c40261492ba9f
where it is assumed each {{formula:5165d49c-6d8c-4186-b8e1-9378ac7cac5a}} has some structural redundancies for example sparsity or low-rank. These methods have a subtle yet fundamental difference from CL, as in CL the structural assumptions which are exploited to form the CL sketch arise from the model or distribution...
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The simulation data presented in the following sections are also used in {{cite:b403083282d8e6d64ec9a46c14048a4bba9eb047}} and {{cite:c4e432d77004675df362f05d9007c305b60e0209}} (2015a). While {{cite:b403083282d8e6d64ec9a46c14048a4bba9eb047}} use the technique of Principal Component Analysis (PCA) in order to statistica...
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This work is not free of limitations. In contrast to randomly exploring the search space of CNN architectures (e.g., through automated hyperparameter optimization), we decided to strategically analyse in two directions: model-centric and data-centric approaches. For the latter, we decided to try four different variatio...
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edc23a0d020717fbcdecd5329d6586cf
In contrast to the existing one-dimensional (1D) time-domain or frequency-domain modulation techniques, such as orthogonal frequency-division multiplexing (OFDM), OTFS is a two-dimensional (2D) modulation scheme, where the information symbols are carried over 2D localized pulses defined in the delay-Doppler (DD) domain...
i
e547f22ae33b6006f7a118090918dbb5
Tumor dynamics modeling is one of the most common model-informed drug development (MIDD) approaches in oncology {{cite:7509d302b6a3a5136fc5022a7aa4733d4d64f603}}, which could enable significant insights into the heterogeneity of inter-/intratumor and cancer evolution. Understanding the drug resistance evolution of tumo...
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04f7f1d5ec6d814e696a9156a234d968
Once it has been well established that a flux of high-energy neutrinos of cosmic origin exist {{cite:f5711156feb5aacba22c61aa5efd66ac763a85a9}}, the next step is to disentangle it and identify which are the sources. The most recent all-sky searches performed by ANTARES {{cite:2da7dbd26a933657561f3c0e031a2db6f4b7aa12}} ...
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We evaluate following baselines to compare the performance of our proposed model, BloomNet: VDCNN {{cite:ebde1d7445dc97c48e8748956bf752ca56caf9e1}}, LSTM {{cite:536cddc9052abe605d9ed42b44142e8180991a72}}, HAN{{cite:4cd8b7b2262e01f14a487b34931754a0a52b4d3b}}, CNN{{cite:18d710942d10b635a6c73d419caadfef885482b8}}, RCNN {{...
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Size and {{formula:d684f977-eb0c-4dd3-b100-58cda9f8f9f3}} -perfectness of the output: As stated earlier, size of a matching plays a crucial role in real-world scenarios. In {{cite:2bcc4405d80231f83579ac3f800afcfd8ea0ae0d}} the authors mention that the administrators of the Scottish Foundation Allocation Scheme were int...
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71c33567e61b6b85534b35e4b743850a
For each {{formula:efb0c367-dbfa-45be-b27c-9409147bb6c9}} , NMF is solved for a series of random initial guesses (typically, 1,000 or more) for {{formula:cf2537dc-7bad-4f37-b275-7204dbf1b837}} and {{formula:e27cca75-5fd4-4e10-a429-cef775acec4a}} matrices. The least value of {{formula:b37e1ab7-53a5-4f68-bc9c-ce658df68...
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In this paper, we have shown how to classify the SMEFT operators based on CP symmetry by means of the Hilbert series techniques. We successfully reproduced the same enumerations as those by {{cite:4acd581d8baed25426df954c427f822447dd12f6}}, {{cite:fcbba872ce16d3599f5930c8e2d7d75bc70b986b}} for dimension-six operators a...
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40c432e1e46bb5d3f9af9a78a9d0b1ed
Non-rigid structures and various shape make it more challenging for monocular 3D detection to accurately detect “Pedestrian” and “Cyclist”. Most previous methods {{cite:6bfae597b3331c2ade4e5f11cd8e5f6a602e706e}}, {{cite:07bf9198cf6c1160ec33931e35d059f504e9c25c}}, {{cite:55eaed45a7bff1b4487e6a761c58ee47cf07faed}} fail t...
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Good side effects. Deep classifiers would inevitably misclassify some inputs when tested on natural corruption data{{cite:203c6744700c8b6fa597dda0590940cbb68f6e76}}. Although no intentional perturbations are exerted on these samples, our MixDefense would still identify these misclassified samples as AEs. This is becaus...
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1f0020d78aa69faef543cf630373835d
it can be used, with adaptive procedures, to reduce the number of degrees of freedom where not needed because in certain parts of the domain the error is already under control; it can be used to generate a hierarchy of (nested) coarser grids starting from a fine mesh of a complex physical domain of interest, in order...
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62ad27f2b4a9bf12be4bbd5d1b2b288d
We present a new problem setting: user-guided modification of the geometric rules encoded in a pre-trained generative model. To edit a model, we ask the users to move a handful of control points as warping examples. Exisiting GAN inversion {{cite:da6632296427b5840157724806360a5bd96812e9}} and few-shot GAN adaptation {{...
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87519e5a7278db8c336a16f9e16b1eef
First of all, We show that the pattern of linear correlation of accuracy claimed by {{cite:492fb2fa634d0fcadd07a26ff901b23e1a8ad306}} does not necessarily occur even when the correlation patterns we observed, such as diminishing returns, are probit transformed. The results of the probit transform of the scatter plots s...
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ea9ff7c3655bac27e11e489e4e5c3e5e
Second, a widely used initialization for gradient descent is to randomly and independently draw the entries of the initial gradient descent estimate from a Gaussian distribution, cf. Xavier initialization in deep neural networks {{cite:8c3515534b4605ccdc52b9e3decab32bcfdaa53e}}. Compared to the initializations we consi...
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1953013172a411a70f8e8e11148d3790
Recently, StyleGAN architectures {{cite:646db17238341109b56b66a5e0dc3b309aba5f5b}}, {{cite:cb58cbecd364ab3d2235f979b1bc75cc1fb38d8b}}, {{cite:92ec9894fd19285a8ef3957a3415f4aa7c2efc3d}} and their variants have been verified effective on various facial generative tasks, including face attributes editing {{cite:4cb1243392...
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58530ba358fd67b7c7a3bb73bf8d7475
In this section we present the analysis of the data-vector {{formula:307f0540-3db6-437e-99ab-0df35b1ba9f2}} , where all statistics are in redshift space and include projection and coordinate-distortion effects. This set-up thus fully matches an analysis of a realistic galaxy survey such as BOSS {{cite:b555aff5b09233ce7...
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Recent progress made it possible to fabricate 2D structures composed of almost any layers on top of each other {{cite:31b1fd2fde1418be688aad2c3c2bb26f2f371243}}, {{cite:4c4a808030515e3bf57371f25d78e55ad7baef83}}, {{cite:0faa4d4192072de18d7ac7d96d7fd83f5f4e445c}}. These structures display a higher variety of properties ...
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b38ec9ee639c1ea4c9300bea9e805da4
Network Architecture: The used network for pixel-wise segmentation is oriented on the multi-slice variant of the 3D U-Net architecture of {{cite:81dd0887274a498c3cded2453c8ec79fd3d59b3e}} proposed by {{cite:519494b33fc74b603b2ff708707ff79beb880230}}. The network is modified in the way that a 3D input volume with eight ...
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In this paper, we formulate view synthesis as rendering a sparsely observed light field. The 4D light field {{cite:4fce872e9ef26da434fd212af7742464466ca4b0}}, which measures the radiance along rays in empty space, is often used for view synthesis {{cite:4fce872e9ef26da434fd212af7742464466ca4b0}}, {{cite:0739f32aad302d0...
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ff6b2035f9530ba0559ae3d9e969294f
{{cite:3fea1d8448f267dc3575fc06c2635518f14e343a}} convincingly showed that SN 2010lp displayed a nebular spectrum closely resembling that of SN 1991bg about 200 days after maximum. The main difference was the absence of the narrow [Fe iii] lines. These were replaced by two narrow (full width at half maximum {{formula:5...
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fa43a5c4d436812ee0d029c914a29df1
While our search only ever considers solutions that lie directly on the constraint boundary, other approaches {{cite:1adedea44089524f2f56695404f0352d6577900f}}, {{cite:835b12041a8c424de7f1093d102690d87aea2560}}, {{cite:acf857444a6f7fe815fdbadee45d4b21065f15f1}} typically have to evaluate many candidates for which the c...
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A critical assumption of several commonly used statistical tests is that every data point within a dataset is independent. In other words, every data point would have to be equally different from every other data point for any two randomly selected data points. “Pseudoreplication” refers to studies in which individual ...
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0c4f2ab75983e9a6598b1b30ec001f99
For other two-stage action localization methods (, CBR {{cite:e4a913a34f3616c302eb950d6e47fcc6ec3f9ddd}}, R-C3D {{cite:dd147844b69ea2fd48d4d2061e10f6364eb63c55}}) that do not rely on the two-stream pipeline such as SSN, we only insert one GCM into them. Specifically, GCM takes the original proposal features {{formula:0...
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where {{formula:f80f33a8-796e-458a-b458-0416fd9eb0b1}} is the encoder network and {{formula:268a101d-0365-466e-8c2e-6067366a5bf5}} is the projection network. Rather than directly using the output of {{formula:520dd2dd-9d66-47cb-aff6-b4f76237b19a}} for downstream tasks, we follow previous works {{cite:96e391f7fbe6f3...
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Our pose estimation method is based on a previous method {{cite:4285f9155c0f3bad870bcf2ee97fac5d7280f98d}}. The method is trained on the BlenderProc {{cite:3f180a32b9925686b44f168a7f0df664bf4be326}} dataset created for the BOP challenge {{cite:c96d611ccdf1c4193a6229809399efde58e705e2}}. This method use domain randomiza...
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Following the idea of `entanglement wedge reconstruction' {{cite:cdd4dae09f9fe65a2bae11f0ef53a7d834a2233f}}, we can interpret the phase transition of {{formula:8aa27ed5-e34f-4c98-826c-c7376e19db70}} in terms of bulk reconstruction from the CFT. As a function of {{formula:f75f37bb-f012-4cd6-ad30-9682abbe3433}} the ent...
d
6e93883f5807e2aa5a815cff006f8517
The standard approach to reinforcement learning typically assumes that the environment is a fully-observable Markov Decision Process (MDP) {{cite:a9e090d7c02ef549729ad715006757e5ec6e4d68}}. Many state-of-the-art applications of reinforcement learning to large state-action spaces are achieved by parametrizing the policy...
i
e25fe9a15d7b3f6bf81d0d3a4073f15e
Lyapunov function method {{cite:ad8e52d17c088f0bb21c21b0ed6ef80b56d8f63a}} is the main tool for stability analysis of nonlinear systems. The following theorem presentst a sufficient condition for hyperexponential stability.
m
7fa731b1b5f22ca12c8d01a0e4a97c6e
Deep learning has achieved remarkable success in diverse applications {{cite:eb7ab32d2732fd4f9de0fb446e8dfa0134fb8ec0}}, {{cite:e45726f6d5e714f8cb4e012aaf9a7e7871aa14dd}} including computer vision and natural language processing, but its use in real-world engineering fields with small data is limited. For the TSR probl...
i
214d2d86d30bc5f404a2826ff3d7ad69
Training attempts to minimize the cost function {{formula:dbcb558f-f274-4ee8-9809-20f2f81c0772}} with respect to the network weights {{formula:51fc5911-402b-4049-be51-c42750305475}} . This form of training is often called “end-to-end”; that is, we do not train the network {{formula:35ae4137-efb4-4d2c-b574-55e63f064105...
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74c7adaeb95bbfcd7df346849f3e78fe
The calculations were performed using ab initio density functional theory (DFT) in conjunction with projector augmented wave (PAW) potentials {{cite:675aa4b866c11caf29498c7fea23999c8915e621}} and Perdew-Burke Ernzerted (PBE) generalized gradient approximation (GGA) to the electronic exchange and correlation {{cite:8b84...
m
b971e8685f06c17e88ca218752526a04
Graded-Feature Multilabel-Learning Network (GMNet) {{cite:b4160759a8f655002f8431c923d076e848544672}} includes two encoders for feature extraction and three grading decoding stages to restore original resolution. The proposed model employed ResNet-50 {{cite:6be384319e8f472cbac48567f158661f5df2fac7}} as the backbone of t...
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406a4a129dfde4fe8412f96616274a1e
(Part REF ) We show that 2 implies 1. By Lemma , {{formula:4a03926e-7efb-4b0a-922a-cb82740628bb}} uniformly on {{formula:d6a81b2a-0f59-4322-9408-fa7e32c828c9}} . Consequently, {{formula:a5fd8f08-d309-4464-9357-5f41c04e34dc}} is continuous, as the uniform limit of continuous functions {{cite:b645ecac2ed25c4884f1bde40d...
r
55300454d061dcfd034e3735289f923b
In this paper we pursue this line of research and study the fine-grained and parameterized complexities of {{formula:3299077c-0181-407c-ac4d-4342ea1f2922}} -COLORING problems and, more generally, of #BINARY-CSP{{formula:5f7dc757-7ac7-430f-96b4-6137a6e3e647}} with a particular focus on the parameter twin-width, recentl...
i
04d4720feacca8bcf8082fccb02c4978
Finally, we acknowledge the promising results that recent large-scale language models have produced in terms of generalization and their (acquired) ability for few-shot learning {{cite:726ddd873de1ecb4edf4f827285b98270c68be71}}, {{cite:7f6d534f80c5e3d6858231ad549c874e66183309}}. They are evidence for the possibility th...
d
9259500c963480756aacca49aa3d39e5
The solar atmosphere displays a wide variety of spicules with different temperatures and velocities. It has been suggested that type II spicules are a major source of coronal mass and energy {{cite:9df503edea96ab350fc3362b46f4baf45e9506b1}}, {{cite:ded10dd3b8bf7d6554809f41f4ac8660b7bc7296}}, {{cite:0a5471c73dbd20fcbf6f...
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6ea1b16e6bc130e3b3db249bf37a9daa
We use the Markov chainMonte Carlo (MCMC) method to constrain the parameters in equation(REF ). EMCEE {{cite:75de1d158250743a66dab5151aa26672826135b1}} python package is used. In order to execute the MCMC process, we need to provide the prior values first. In {{cite:7a34f159ff04302407e90e79285f20b00ba2e1c5}}, the best ...
m
836f5be984d9bcfe84a1b54e2cdbae77
We present a comparison of the results of TeliNet, VGGNet-16 and the benchmark approaches. In the training set there are 153681 covid slices and 181991 non-covid slices. The validation set contains 35016 covid slices and 40517 non-covid slices. Since the data sets are not balanced we use an F1 `macro' score metric to m...
r
ae2481421c93af6cfd7457d3abaac3a4
In Section , we give a short introduction to the concept of {{formula:f2caed32-205d-4a49-a395-0717419b4251}} -convergence. This includes convergence results for minima and minimizers of a sequence of functionals, which are presented in {{cite:da9fd046d0497c67c07acd6320274c1000427c17}} and {{cite:6a6718c6e8ba83f78f06b01...
r
219d174ae8d1a2c68479c431c27cbb63
Furthermore, other properties of the materials can be calculated by the dielectric function, including the optical conductivity, absorption coefficient, energy-loss spectrum and optical reflectivity. They are given as follows {{cite:a470574cfcefddca91bdd7507a3269c139e86cc4}}, {{cite:0b4745f6207204d9beceadbe478b74cefb02...
m
dd548de8ae48790927c89981fea85f5c
Quarkonium production in hadronic collisions is an ideal tool to access the gluon content of the nucleon {{cite:c11e080b258cd9321ddee0ab3faa7a1e79af1c44}}. Collinear gluon parton distributions (PDFs), depending only on the longitudinal fraction of the nucleon momentum carried by the gluon, have already been extensively...
i
15495d288a1e3a8e59fa8bb6a9c7b5c8
For more challenging cross-view cases, {{formula:0b31c8a1-359c-4c22-90e2-33ddfc871a6f}} covers more dramatic view-changing factors than that within {{formula:3320cea4-8628-4238-9f60-6b09c4e75a1f}} , i.e., {{formula:f2c999a6-2b39-42fe-b67c-4cd75da00b1b}} , intuitively meaning that it is hard for GaitSSB to maintain its...
d
b3789a591e1f0dacb4667f36bfe6ff06
In this section, we perform extensive experiments with ASWL on VGG-16 {{cite:a96a34cdfb9aa13311ae807bce25187e68b3bc88}}, ResNet50 {{cite:6554ddf31a0f32528d4361ade999b2bf501661ec}}, and MobileNetV2 {{cite:3c312780b980839691e8e9488698d07681c31434}}. For VGG-16 and ResNet50, we simply replace the traditional convolutional...
r
5b53826055ad0629fd831f0478f70584
In this paper, we investigate the Casimir-Polder interaction between an atom in an excited state and a Chern insulator {{cite:7872c036aec9042df11ed2110681e4be4c0cd5ad}}, {{cite:0a55f7a4c50fd759092bc6ec81f864a34fe20939}}, {{cite:80a296ea04aeb41bfc8002733655043b1281cf6d}}, accounting for the full frequency dispersion of ...
i
e6fa74fbdeedc7e98aa985ea44d59447
We solve numerically Eqs. (REF ) by split-operator technique {{cite:a51a20bfd848235837c65a68295c393221b6802c}} for trajectories of an atomic white dwarf corresponding to closed eccentric orbits. We consider the Bose-Fermi droplet consisted of {{formula:020aeb01-d294-42b5-ac9a-31d1db44b515}} Cs bosonic and {{formula:6c4...
r
cec39b1c6819b255d56f598aa8687f07
We find the factorization (REF ) appealing as it shows that solution of the IFPP for arbitrary distributions, and in multi dimensions, is reduced to two standard and well-studied problems, i.e., constructing the Rosenblatt transformation (or CDF in one dimension) and designing a uniform map. It is therefore surprising,...
d
ea2e18e3daea37b1686a54ae5c0afe0e
The recipe to restore the gauge invariance is given by the theory of polarization in crystalline solids {{cite:a379cd39ae902520e386db34cb68d3deb8ab4806}}, {{cite:2dc84a53a1ab8b081b0ef9443554f79cd3f4ecc4}}. We first take the exponent from Eq. (REF ), and then use {{formula:f5055835-b41e-451f-94b7-aa58c4221675}} , {{form...
d
18b2c957d1a726c764dbe4653db2ac35
Along with the experimental progress on manipulating the coupling among multipartite quantum systems, the tunable anisotropic triangular structure can be realized in various physical platforms, such as trapped ions {{cite:105feeada23ffc3013855e8f832de8d7fad32f38}}, cold atoms {{cite:d09010e877ab455006830875007bd8d28f7a...
d
6010493dedac5d40c355c6570d7b7786
Strassen's Theorem {{cite:ad045c665ba5ac5103a3e0bca074ab82e80320de}} characterising the existence of a probability measure on a product measurable space, having fixed marginals and prescribed support, has enjoyed an illustrious history, both leading to new fruitful research directions and having significant application...
i
23d3e7a5670408fee0569030325c92e2
Recent developments in deep learning can be applied to modeling of image-to-image translation problems. Generative Adversarial Network (GAN) is a class of deep learning algorithms that is used for generative modeling {{cite:b9a42102d14e57fc6e5f691a58571c50438e0028}}. GANs formulate the generative modeling problem as ze...
i
da7eb5e0d6d9f3fba79a8f1a730b858d
The spatial search algorithm by continuous-time quantum walks was introduced by Childs and Goldstone {{cite:1e0e3401a28f9c6df4792a36ba93fd3317e29f30}} after the successful definition of discrete-time spatial search on hypercubes {{cite:e67428443b353c7befaaf9ae3b1e6e326ef132a9}}. In the continuous-time case, the time ev...
i
baa91641ff1bf12db9e8c1d26ac5f3ed
Returning to the motivations for the TCC discussed iin Section II, we see that they are based on considering the evolution of fluctuations at the level of an effective field theory. Thus, a point of view that one could take is that the TCC does not necessarily imply that inflationary models with an energy scale which e...
d
7d7687a05a51ab98b3712bd36f1a792e
There is some correspondence of the dynamics of the model discussed in this paper and the quenched Kauffman NK model {{cite:94d9dc187cd72334bc6970ac05b3e6eaf96c0d60}}, {{cite:5b4dc9f59e47de0e45fa7790fd2f5719a39558bf}} of time evolution of networks. As we argued in {{cite:c921cf2d3500bf0658bd2f3c21e0846306346ff5}}, here...
d
1e34f6f9a06f6a09522f99ad60674df9
Given the lack of a significant population of low luminosity star-forming dwarf galaxies in the M101 Group, we can place rough limits on the slope of the faint end of the star-forming luminosity function of galaxies in the group. A steep faint end slope would predict a high dwarf-to-giant ratio; the lack of these dwarf...
d
abd0c2cbc201808614fb79225db14c9f
Several noisy-reverberant conditions are used to evaluate the proposed techniques in terms of speech intelligibility and quality. In order to compose the noisy-reverberant environment, two real reverberation rooms (LASP2 and Stairway) and two non-stationary acoustic noises (Babble and Cafeteria) are considered in the e...
d
ce40a0068902f7803c931b4838f8fae7
is nonempty and bounded, where {{formula:bee2b481-2a0c-4b5e-b3f0-5999c54c6c97}} denotes the set of differentiable points of {{formula:224ec208-c3a7-4dca-98c0-cef9855477b9}} . The set {{formula:a5b210af-4334-42df-9000-eb5cbb0e409b}} is called the B-subdifferential of {{formula:6a7e3b93-3e06-4947-bd9b-fb3b8ef3ccab}} i...
m
7aa7fbf42a98e884b7742bcf86ce595b
The equality {{formula:7f0d2a10-5f9e-4852-a473-2bbc2a033a4f}} was first proved in {{cite:6e5b2d8f88e32777e5e89b27db7da4c18497beee}}. The equality {{formula:5b07baba-e033-4f98-b7f4-56573622440b}} is {{cite:73d098bc58df8f85ba0a56189fb7e7af839bb5db}}.
r
ca4d12f9f7c0b86bef3d5d96fea34159
Since the state controllabilty, a concept decribing whethere the state variables and space of the dynamical systems are controlled or not by the input variables, is put forward by R. Kalman, et al, in 1960's {{cite:9f48c5d378b2632c53f404c88c5de6784de679aa}}, the further studies on describing quantitatively the control ...
i
c45bba9488b49a7c1045dba8b9e74ba0