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An integrated residual solver was developed in the Julia v1.6 programming language, implementing fixed and flexible mesh schemes for the solution of constrained DAEs. Dynamic variables were parameterised by Lagrange polynomials in the barycentric form {{cite:f688a29a5f6b3c240cef67e65875d056dbc0f41f}}. These were discre...
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560735bdeb9b189b48eec058d14ee8dc
In certain cases this back reaction leads to a complete breakdown of the classical approximation. The concept was originally introduced within the framework of the black hole {{formula:da934664-5c4e-4ca1-931b-766fbb21f193}} -portrait {{cite:9faa73fa66d9786e58659f14f456f14e416c20c4}}, with the first explicit simulation ...
i
0b14228be1b4da34470f805639c70ec4
We have compared statistics of the properties of the narrowband whistler-mode waves observed in waveform capture data from Parker Solar Probe during the first four encounters inside {{formula:e19bcbab-98c5-4e8e-b128-763bd1e68a00}} 0.3 AU, to properties observed in waveform capture data from STEREO at 1 AU. At both radi...
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The encouraging results of this paper lead naturally to many new questions and further studies. The computed examples presented here were limited to double integrators, implying that {{formula:70bdfc27-654b-4034-8ad4-db84567ed309}} is a constant rectangle for all {{formula:6f43ce22-797b-4666-ad31-2da7a2ecf7dd}} . We a...
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This is one of the rare theoretical works that discusses pruning of FCNs and CNNs. We not only cover model pruning of general FCNs, but also establish the results regarding pruning CNNs. The results can be applied to a variety of other network structures given the fact that almost all networks can be represented by a s...
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Image quality and View consistency. We visually compare the quality and view consistency of our results with images generated by OASIS {{cite:524ba44eb9e1bab1ca9dac5377208471fc0b6520}}. OASIS produces a geometrically invalid output, especially in the scene with complex geometry, which is difficult to infer from semanti...
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f72bdae7dfc27de029233ee34f091628
The diversity of dust particles in an astrophysical context implies a richness of models that we need to build in order to calculate realistic optical forces for space tweezers applications. Here, we consider several models of extraterrestrial dusts with shape and composition inspired by interstellar particles, DUSTER ...
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ff41b6ddf0442ade9c407438d3638921
In order to state a two dimensional variant of Weyl's equidistribution theorem which will be used to prove thm2, we shall need to introduce notations and definitions following {{cite:6b3a4a67b6b91b9e05d73e9d64ae8c3bad66dee4}}. Let {{formula:a2fe253a-054e-4a4b-a93c-031069e46343}} and {{formula:e76b199f-289b-4ff7-8bfc-f...
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aab61e2ab569fd1d1bead0feb7595a50
For the VoF method we note the following points: It is a sharp-interface method, so it has {{formula:ab0d295e-aa07-42e6-a579-8e07fcc9cea1}} . The surface tension force for VoF is {{formula:4c9ebe30-5170-416e-99ad-7546617e8300}} , where {{formula:7a37e34e-58a8-415c-b04e-2056933e887f}} is the curvature, {{formula:e4dcb8...
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2. Use Pretrained features{{cite:51de6c92b7f287e792b21d626d010ccfb733c574}}, the embedding part of AR+ model is replaced by the features of pretrained ALBERT{{cite:a9c0d44feedb2ecd52ce1b044e75648e74b24127}} or ELECTRA{{cite:55dfabc4f7846bc33384c9da47144cff42451abd}}. The improvement of loss is very limited or even wors...
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We should also pay attention to the following issues. Initially, for the structure of the system, this paper only studies the situation of a single island. The construction of multiple islands may produce additional entanglement entropy, but their contribution is high-order and can be ignored. They probably appear at P...
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710bdd41144527920ca6b4ac8bce1c94
A thorough understanding of those datasets via graph analysis has resulted in insights behind them and facilitated the development of effective algorithms building on the insights. Some of the well-known static properties are a small-world phenomenon, also known as six degrees of separation {{cite:d3abd71268de1cb3d756c...
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fe3fbe79fe863033ce8ed6a72d7a82d2
When {{formula:4ee742e5-e0e7-4327-9a95-96b9f2a56e34}} is bounded measurable and {{formula:e10876a7-068e-490e-8f18-0202dab393d8}} satisfies the ellipticity condition (REF ), it is well known that there is at least one weak solution to the above SDE (see {{cite:ebb47fde67954a291d5e70b014787933f8a2b34b}} or {{cite:409bf...
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544a043210e73890648c1a9ccc619b47
Note that this relation requires {{formula:b4bdc3b0-ebf0-4814-8a44-ff9cb0597937}} . From the work {{cite:4a31a9e42aeb59304fbce84f70eb25191d98e481}}, it is known that under these conditions, the maximum of {{formula:68c84cdf-7da6-4550-9825-e725bd69fbd7}} in (REF ) can be obtained as {{formula:0208df90-5bce-4668-8f26-57...
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2d84cc0c68e2320bd9432bcbc1e1b4cb
In the simulation process of this paper, we assume that the probability of all node to node propagation, that is, the probability of interaction on 1-simplex {{formula:5bc73880-0a07-442f-84b9-199e613234ec}} , is {{formula:f65a4c10-3a7c-4d50-bcdc-ebe9887acf49}} . Similarly, the probability of interaction on 2-simplex {{...
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In the case of an even signed cycle, using Theorem REF , it is compatible only when it is balanced. Hence to check its metric dimension is 1, in view of Corollary REF , it is first of all necessary that there must exist a vertex of net degree 0 and thereafter the remaining assumptions in the theorem. Now we deal with ...
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74baf24e0ba177dbb2bd8fd51fee63a3
To render the pixel color for a camera ray, we first find the ray's point of intersection with the SDF by starting from the ray's intersection with the object bounding box and marching along the ray via sphere tracing as in {{cite:536750b7f5ffcd7f08dae3b59bcd8d3922815761}}, where the size of each step is the signed dis...
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Near-field intensity patterns and Husimi functions - The remarkable changes of the far-field intensity patterns as {{formula:0463beb6-6b9a-4161-9bbf-496a1aac7590}} increases are caused by the modification of the outer layer boundary, not by the significant changes of the near-field intensity patterns around the perime...
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Data Description. In our experiments, we use four undirected real-world networks to evaluate the effectiveness of redefined centrality measures using hypergraph Laplacians (see Table REF for the networks' statistics). (1) Enron: each vertex represents the email address of a staff member at Enron. A simplex or hyperedg...
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751e7d54a72b436739550cb6e20d197a
adaptive thresholding (Otsu's method {{cite:542cd67e032538b39a89be7f0d6325cb482adfcc}}), after the GTV segmentation; seeded region growing {{cite:5a609a553a9d2efdce121d01140f9ed07420ec96}}, after interactive seed-point selection; interactive LSFs {{cite:4e909235a8179050af4c59a5857a524bddfee892}}, after seed-point se...
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019537cdb93d603c5fc0be58eefddfa0
Our approach is centered around the self-attention agent proposed by {{cite:6a0285b4e0a8a02839263521d23c7d419b037444}}, described in more detail in this section. Their work, in a similar fashion to {{cite:2a26b602e8af1ebef7eb2951fbe3c915390a20c4}}, is limited to 2D simulation environments. To obtain results that are re...
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The bottom of Table REF shows methods with unsupervised photometric loss. Results of purely unsupervised methods (without using depth consistency loss) are calculated by aligning the scale of the predicted depth map to the scale of ground truth. First, for methods without leveraging depth consistency, such as SS-S2D (...
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41a0d4adf601e643b3813429a97a5b37
We record the best results reported in their works in which each sample has complete hierarchical multi-granularity labels. In tab:fgvc, Chang  {{cite:e3ce7de8f305855ea709ccd75ef0e6aa2677691e}} achieve state-of-the-art performances in the traditional single-label FGVC problem. Our approach reaches comparable results by...
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7c8d60cdbc9df3b7ecb3752f85a8da79
To quantitatively evaluate the performance of our proposed approach, we conducted several experiments and performed the ablation study to analyse the contribution of each of the data augmentation strategies and the number of corresponding augmented data samples. The network implementation and training in our experiment...
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Low-light image enhancement algorithms can be generally divided into two categories. The first type like {{cite:5586daba1401dcc4e9a6614282e65240871a8f7e}}, {{cite:c4af23a1170e30fa27dc3ebb610aed721621a937}}, aims to offline train a deep neural network with numerous pairs of data. The calculation of such methods is too h...
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The randomized Kaczmard method{{cite:c8c2c63a5e02cc87cb2e4a7595c3eeae31cbec77}}, {{cite:18d48c32f7e4e293750cf1614024cf97e47cd950}} can be described as {{formula:403eccfe-ba67-4b33-a729-16463ad2ce57}}
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Following {{cite:8b0ede97a6f478340c9b914dfb21ca746aa24154}}, asymptotic estimates for {{formula:10c7667c-d7f6-458f-8c73-e6ca25e36963}} were obtained for various sets {{formula:5f847aa6-dcc3-4191-9e6e-7b2127d112a4}} . For example, already Hardy and Ramanujan {{cite:1ba07da5c1845871b6b92c543773aca7570bb581}} obtained bo...
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dcc20985c2a0a6297369000bfe49d134
We perform direct numerical simulations of the three-dimensional, incompressible Navier-Stokes equations, either with a single phase (the turbulence precursor simulation) or with two-phases (air bubble and turbulent water) with surface tension, using the free software Basilisk http://basilisk.fr/ {{cite:8b7db596267ba63...
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GDN/iGDN vs Conv. To evaluate the visual quality of the analysis and synthesis blocks. We integrate them into our network. In this model, both blocks are removed from George's  {{cite:992c81906ebc094e75db68579c101d5961817600}} architecture. We followed a straightforward propagation in the network. As shown in Fig REF ....
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7e9479cc77541ad866705816aae982b2
In “double backbone” setting, our proposed STRAD excels the state-of-the-art methods by 5.1% on Sketchy, 3.3% on TU-Berlin, and 2.8% on QuickDraw in terms of P@200. In “single backbone” setting, we find that the “Simple SB” outperforms most methods in “double backbone” setting, which reveals that it might be the best s...
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4f157dc0ebefcec34936fe0a31e0cb74
ImageNet pretrained versus from scratch. Recently, it has been shown that ImageNet pretraining does not improve accuracy on the COCO dataset, and even better accuracies can be obtained with training from scratch at the expense of longer training iterations {{cite:137cfce1c00fb6fd3eee2667756099b9de9c0be4}}. Another inte...
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Existing theoretical analysis of the uncertainty focused on the calibration performance and tried to clarify when a model over- and underestimates the uncertainty {{cite:28ad643c5966a5d2fd6517b706c658bcc656f253}}, {{cite:88486117cd9db7797bce858b944d86c2a94bb649}}, {{cite:5e149d7c2b42315c674686577d5589aa783d62fd}}, {{c...
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In Fig. REF , we plot the average per user SINR at the CPU as a function of the time index for different UE velocities with {{formula:daa6dd9f-663f-446f-850c-f5a7e99d63a5}} , i.e., the channel ages at the same rate at all APs. We see that the theoretical and simulated curves match perfectly for CF-mMIMO. In the figure,...
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6a039b086bf6eb72394c5c7658dc51f7
In this case, each component {{formula:9e93fa98-7242-490f-a4b9-15a4c32d7412}} implicitly includes information about the dependency mapping. The copula model uses this representation to isolate the dependency structure of {{formula:3043f69a-9c9c-42ef-a180-2a6e0ebb6edb}} trough a function of marginal distributions {{ci...
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There are many treatments in the literature, and the idea goes back to Lagrange, and possibly to J. H. Lambert although his claim rests on his story that Acta Helvetica lost part of his manuscript; a beautiful algebraic exposition can be found in {{cite:e0fcfec36432d3c0904f42b9fe65693330a0ece1}} , although Henrici ther...
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Further relaxation is much slower. During the next 40 min the resistances of both structures relax by a small value ({{formula:1af3a7ae-d467-41b5-8a0c-78e643a6cf0a}} 20{{formula:72589dbd-521b-4d1c-8c9c-57cd4c31c141}} ). Moreover the most notable changes are occurred by sudden jumps simultaneously in both remote structu...
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2020 {{cite:a9b705aca02a607e022180f840778318047a3020}} YOLOv4 [c] Improving precision and
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Note Added: While finishing our main computations, the work of Roberts and Stanford {{cite:029102a38f8034034b90fc140478d4bcdbdcbd89}} appeared. The latter has a detailed account of two point functions in the presence of localised excitations over thermal states and briefly mentions the behaviour of the mutual informati...
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This manuscript showed numerically that the k-space pseudo-spectral method proposed in {{cite:ed8a30c8b146e14296b3386ebf8d8d38271e8735}}, {{cite:db1fcd2dd6cddf9b5e89431939114fc09f172c76}} for solving the three-coupled first order wave equations is almost exact for homogeneous media. A Matlab toolbox for a numerical imp...
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1ea525d6a71af7f520eb37daf2b62844
Another striking consequence can be formulated in connection to the famous theorem of Brooks {{cite:1b1e6cdf9e5c5e30ab7ae78f8a640c30e5380540}} which asserts that every connected graph {{formula:ed949b8b-15cb-4ba6-b0f6-83dbbccef305}} of maximum degree {{formula:f1b68131-aaff-4fdb-87eb-fbcbd93fe176}} is {{formula:03229...
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0pt Implementation details {{table:576c1ebb-20d0-4e65-8eee-b42275cb4744}}Our framework's network architecture follows the baseline CycleGAN {{cite:a43331b77b265e919b1b2ca257fa77f8ffa44ce8}} with some differences in the generator to support self supervision. We use “ResnetBlock” to denote residual blocks {{cite:a3408f...
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For the unseen, in-the-wild datasets, the performance of LEGAN is mostly superior to the other models, as shown in Tables REF and REF respectively. Due to the non-uniform nature of the data, especially the facial pose, most of the metrics deteriorate from Table REF . However, the boost in quality score overall sugges...
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17244850db9f990bf50ed543699dbb5d
Developments in the field of deep learning have led to a reexamination of the problem of jet tagging, as new architectures have emerged which can operate on constituent-level data. Alternative proposals include casting the particle data into a 2D pixel image in order to apply to a CNNs{{cite:a73397e14319d10f1f9586344fe...
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574d7af0d30039a7e5cddfa686d5c0c6
for sufficiently small {{formula:2519bfed-fb97-4028-8780-54349fd339c6}} . Then each alternating update is itself split into two updates and solved using an ADMM algorithm {{cite:933bda06be97b69b447af9eed8bf4ec1c1ee635a}} as described in further detail in {{cite:f2c5990b7f2a422249660b32dc66e90b17e20756}}. Note that we a...
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One point of active debate has been the role that quantum mechanics plays in coherent Ising machines and in D-Wave's quantum annealers. In the context of coherent Ising machines, there exist models of their operation that treat CIMs quantum mechanically{{cite:46a69c0f33b5d59c271f42c8440647dd273f2940}}, {{cite:38157cf08...
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d0f7655c6ae21676be7e398850bfa69f
Given a planar phylogenetic network on {{formula:e88ec940-8d80-45cd-9ebd-49e049dee589}} , let {{formula:2bb27a23-5441-49c3-84e6-065aa0c6da73}} be the digraph obtained from {{formula:f55f5989-fc4a-4945-b1b8-3e88e14264f1}} by adding an additional arc {{formula:46d0bbbe-3086-48dc-9ba7-91663d4c12f6}} for each element {...
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The topics gained popularity recently by using neural networks to learn depth information from pictorial cues. Eigen et.al was the first to use multi-scale neural network to achieve coarse-to-fine prediction {{cite:91150e37f6eeee713f08c2d13adf1991c8e1836d}}. Since then, various learning-based approaches were developed ...
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Finally, we point out that a number of recent studies have proposed improving out-of-distribution generalization via incorporating physics constraints into NNs {{cite:2361c1546f43bbc06df8aadcb066e2122a38f4b0}}, {{cite:8ca5286df6c3011a9ae1c5e635b074ebf78b605a}}. While promising for specific applications, such an approac...
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a3688f8e416e4059e9555024f19a33e7
At first, we report the application of the Zernike fitting on cluster {{formula:b77ba243-154c-4b7e-a557-6e6bd2ab0f36}} -maps. We summarize the results in {{cite:3a1cc2a4ea6b195b44b1fb8aa80189f74d6c3fa1}} for mock {{formula:1a2e55dc-0e45-4772-83cb-960733c8c64f}} -maps and then the preliminary analysis on real maps for c...
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d113bf48ac8895498550d62b4b9d7584
Numerical results on rates and direct {{formula:07e41986-adfa-4d3d-b32a-07fa51cf8370}} asymmetries will be presented in this section. In our numerical study, masses of mesons and baryons are taken from {{cite:43029a6f36030d022ae602a11f1abf80690c810b}}. In addition, quark masses and decay constants are also taken from ...
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70756c352bee11c8f57ccad69b8b1def
In a final remark let us add that the main starting-point technicality of the GSP approach, viz. the choice of the positive-definite solution {{formula:8692f7c2-a5d9-427e-93c4-3bd7653f15e5}} of the constraint (REF ) is, in general, ambiguous {{cite:ed13b6250cca1ef3bfa909e73859fd9164f8ed03}}. In this sense, any choice ...
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1e5fb2775e14172a1f46107a7552653a
For simplicity, we will assume a flavour-invariant quark condensate. The model is insensitive to the scale dependence of this quantity, and we will choose {{formula:61cef49c-7d05-4f13-8fa5-538c927e5293}} , which is consistent with the phenomenological determinations at 1 GeV. The size of the fifth dimension can be show...
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cb71a7c04f9df5a2dff5d88284daf333
With the values for {{formula:de52e7e4-2391-4058-80b9-48dd59d22142}} obtained in this analysis, an interesting feature can be similarly tested as observed for the proton results {{formula:c9ef71ad-3276-4dc2-9bf2-24c96192e2b2}} by the BaBar experiment. {{formula:a072ba81-072b-41e1-a559-08c847bed080}} shows an oscilla...
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96138364fe50d4e459df7e5d054ef5e8
We propose to utilize multi-task learning by incorporating mathematical equations through a new loss function embedded as a neural network for better representation while learning. We train a convolutional neural network to predict the extrinsic and intrinsic camera parameters. To achieve this, we use dependent regress...
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5ab8f777191941dfe38a223f84df78ad
Most previous CSST approaches require a reference utterance conveying the desired speaking style to obtained style descriptors, either in utterance level {{cite:ebd6c771b3bbbe578cc52feacf9008278e9c40ff}}, {{cite:d5600465f056737572be171e80f8c6553afe73d5}}, {{cite:f607046e72609550eb74a67c0277a3ae1e98c3f8}} or in more fin...
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The 144 MHz radio morphology of NGC 5322 appears that of the classical FR I type (see {{cite:82000764d519ac38fbb401113b2ee984d521bc68}}) as the jets are edge-darkened. The 1.4 GHz radio luminosity using the NVSS flux is estimated as {{formula:601b2e73-3eff-4c69-ae88-f6c43bba1392}} W Hz{{formula:60aa8d2e-d37a-436a-abf0...
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009babb477a4234c40aa7c92a21a4bbf
The classical stochastic control theory appears with the birth of stochastic analysis and developed rapidly in recent decades due to its wide range of applications (see Yong–Zhou {{cite:859b14b3457c89a7cd9f18f3aefa2b331c828150}}), and one of its important applications is the optimal consumption-investment problem under...
i
f60c12ee96aa5d529e856d6487f1fedd
Following {{cite:20098a35741b5297c30446c3e4c0f837b7b388f3}} we remark that at MHV, the sigma model correlator gives the theory whose Feynman tree-diagrams give precisely the tree formulae of {{cite:a5deb6dfed525bd36e9f4847fa6f1812da8eabe2}}, {{cite:814e2cb656377e8fa277d2d72095abf4aab812f3}}. Furthermore, in that paper,...
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However, for Experiment 2 with highly skewed gender distribution of a 5:1 male to female ratio and a subset size of 544, the accuracy rates are much lower than those of Experiment 1 where the subset size is 166 with equal gender distribution. It is also noticed that the run times increase dramatically from our experime...
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{{cite:0cd2546b18de3059420299c7e32661a14152d29d}} 2017 {{table:2b1ec132-35f2-4fe5-834c-485b7a5ea29e}}
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In this section, we demonstrate the efficacy of using low rank approximation in the simulation of four quantum algorithms: QFT, phase estimation, Grover's algorithm and quantum walks. We implemented our algorithms on top of an open-source Python library, “Koala" {{cite:a7c6e68e692e11a99143b14d406213d3b764e083}}, which ...
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where the deviation from the SM prediction is {{formula:ca8ddc13-c921-4587-b893-2125a38e5bfa}} level with a positive value; recent theoretical analysis further indicates 3.7{{formula:f66cb7ae-ab5b-4af4-9836-74e12c953590}} deviation {{cite:0c13bfd577bc04ebe76e6220cbfa0ba919ba211a}} and other analysis is also found in ...
i
ee09ca4ec4ef47f164c3e24b7ba47164
The Newton equivalence principle states that gravitational and inertial mass of a body are equal in the non-relativistic and weak-gravity limit {{cite:d603967067cae6c7f34532de4c426ac0039c98eb}}. This principle is a result of numerous empirical tests and appears to be entirely accidental from a theoretical standpoint. S...
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To validate the IBD method, a prototype of a chromatin-like polymer chain with artificially set interaction strengths ({{formula:243bb82c-2fac-404c-8f11-1fe553430e3b}} ) was constructed. The data from this simulated chain was used to test the IBD algorithm, as described below. The IBD algorithm was validated for chains...
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Efficient exploration strategies in reinforcement learning have been well investigated on many models from tabular models {{cite:85278b59e3dd012482fdc87a90723e7ddd18bd54}}, {{cite:97c233b668a8df5ad389f88954fe175b4758a297}} to models that enable us to use general function approximation {{cite:8a33d2b81e16750bb85097a880b...
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This section evaluates the performance of the proposed CGGD-MLDR beamformer and compares it with the MPDR beamformer and the newly developed MLDR beamformer. The performance of the oracle minimum variance distortionless response (MVDR) beamformer is also presented to show the theoretical limit, where the interference-p...
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A final limitation of this analysis concerns the rarity of the outcome: only 3% of subjects tested positive for HCV. Whilst the rarity of the outcome supports our view that inclusion bias is likely to be small, it does raise issues around the stability of classical estimation algorithms. Logistic regression for rare ev...
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We consider Markov Decision Processes (MDPs) which are defined as the tuple ({{formula:b8fdb62d-d0a2-4566-990a-dcfc232ddc08}} where {{formula:4e8b5a1d-cb9f-4821-b1cc-65390bfd00fa}} is the state space, {{formula:4584a49e-4474-4bbf-8546-d1e280a2a7a8}} is the action space and {{formula:1315cf0a-4bd2-461c-bc2f-7cef6a58e...
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On the other hand, we have identified an opposite tendency in the development of JITAIs in mHealth applications. Here, the majority of the surveys refer to real-world applications, generally targeting a specific problem area such as promoting physical activity {{cite:7e156f9e9db9ac4745f71019dc475a851de16bd7}}, rather t...
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Proof of Theorem REF. The high level road map of the proof is a standard one just as shown in Candès et al. {{cite:6febc79316a9e9e61a192e701abfe30e3e7a4a36}}: by convex analysis, to show {{formula:5a7e29c9-f7ec-4fb8-8d73-fa5dd2860045}} is the unique optimal solution to the problem {{formula:35b06be0-0e1a-4472-b1a2-37...
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d9e5d0ae6d99630f2867da48ed6bcb89
() = -1 * [ k(, ) - *()(+   )-1 *() ], where {{formula:f76cc5dd-a878-41c9-b008-fd4fd58e432f}} , {{formula:ddbfb535-44db-478a-9146-81ca0cc8658b}} and {{formula:8538b058-7f7b-49b2-847a-483f5e1a633c}} are kernel matrices approximating those under the RBF kernel {{formula:33ddb28e-51e1-4658-b805-0075f73f60ff}} . Conseq...
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start from an intuitive assumption that the change of outputs could reflect the importance of certain elements when they are removed or preserved only in the input. However, in order to find the optimal results, theoretically it is necessary to traverse the elements and their possible combinations in the input and obs...
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573d9be6f4cb37bac48234f82ad32ea3
To compare the persistence of PerDoor against other traditional backdoor injection techniques, we follow the methodology discussed in {{cite:93cb7bbb7eda869712cd56d969abbd39186a07de}}. We consider a pre-defined set of backdoor images with {{figure:1ae4a680-94e0-43ce-a11f-1df008aa8adc}}
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e86462d459d4008135f27f4ef7c68c04
where {{formula:34488913-a78a-4864-b878-fd70f6c80f0f}} and {{formula:49747703-349e-4721-b660-1261c6132fa5}} are the central density and isothermal sound speed of the atmosphere; {{formula:c2ea3c58-89d3-4cb5-b53e-d001a94983f1}} , and {{formula:6b602e81-ac9d-46e5-a053-8ee44f034d9a}} are the initial gas temperature, Bo...
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37249f72b6abf6ff44b1abcb0bf6e0fa
Otsu's method {{cite:b2a9093e9ed4963f0e56b4327b510a8754794704}} is a widely-used approach for image thresholding by grouping all the image pixels into two classes in a way that maximizes the between-class variance. In this work, we transplant Otsu's method to the thresholding of the residual errors in our framework, in...
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The task term scales with all quantities of interest as expected. First, it is {{formula:f6a2552c-dbf0-4359-8770-7298c5ebee37}} , where {{formula:2eb13244-c7d8-4a43-9001-ef394e4ff478}} is the number of task parameters and {{formula:82b87a27-ea43-40f8-9373-ba21564387b2}} is the probability that the bound fails. This d...
d
d5da48bf551cc567cc9c4eafe9ffd4a1
Sequential {{formula:67caa614-c852-494b-a736-81205881e867}} decays also provide an independent measurement of the {{formula:186bf981-7484-44d5-bd30-0699a1458e2f}} decay parameters {{formula:82109d36-4d3d-4d68-a9b6-8cc19c54439a}} and {{formula:f29cb1ae-6916-4c3d-9b48-3ee5b8d8b86e}} . Being the lightest baryon with st...
r
8c6546dfad9e416d5b9e6d3eda312649
The goodness of the resonance energy locations and the associated particle decay widths obtained from the R-matrix fitting have been tested through the reproduction of the elastic angular distributions from Ref. {{cite:1ec2416a0f9214918049d6f0e96ff0e9e722f3ec}}, shown in Fig.REF . Quite good overall description of the ...
r
2cfaa7b9f55dbf665cdacee1bd5ed60b
EditSQL {{cite:37f4b8c6e47d63e5bbc4c8b69c7e9d3d03dc02cb}} is the previous state-of-the-art model on SParC and CoSQL datasets and it focuses on taking advantages of previous utterance texts and previously predicted query to predict the query for current turn. Table REF shows the user inputs, ground truth queries and pr...
i
e38796965e99629b2c5e33a66b67de13
There are a number of future directions to be explored. Perhaps the most immediate task would be to incorporate the coupling to gravitons by modifying the integrand. In flat space, the CHY formulae provide a powerful tool for analysing soft {{cite:7f4e26c074f6a0c3153b7a71bbddf0bea468bbdf}}, {{cite:c1897e74409c2992ee5cf...
d
12f558610e74339c7a251561e1ce61f3
The SHiP experiment is designed to both search for decay signatures of models with HS particles, such as heavy neutral leptons (HNL) {{cite:3010760eae7015eb24e848e7b02adaa4852a313c}}, dark photons (DP) {{cite:6b14e269ef92040603a3b984d0ed3235a9c7a88e}}, dark scalars (DS), etc, by full reconstruction and particle identif...
i
e86399b83cc2d70201ed87bf6be8e121
We consider only GWs originating from sound shock waves generated by the bubble's violent expansion in the early Universe. In Fig. REF we show two pictures of the early universe. In the left panel the singlet has no VEV at zero temperature and no SPOPT occurs, as is the case for the SM. In the right panel we show a un...
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227682f20dcf24e7e754181b74e90dcf
Two heads are better than one. Instead of using a single model, leveraging an ensemble of multiple models is a simple yet effective strategy that can usually boost the accuracy {{cite:136a056f9a6b4193d2534e70c06c7d341b4716e4}}. Ensemble techniques have empowered various classification {{cite:6e18bd186968e01edd477292092...
i
f58cba1cfd4fcae391e89afc77039bd5
On the other hand, as for the non-integrable equation, up to now there is no systematic construction on the RW solution for the non-integrable model with MI under the non-vanishing background except for the non-integrable defocusing NLS equation with time-dependent potential possessing the RW solution {{cite:3b58111984...
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76ccd71da83b2448ed41659d0c37bcc5
Viewed as a geometric distribution problem with a probability {{formula:db63667f-5b36-49a6-aefd-bdec5bdd3c9b}} of discovering a UU, we expect to need 1/{{formula:f74f5033-6033-4e05-8ae1-6ef5fad8eed5}} queried points like point {{formula:2b6e3399-77df-4377-ad9d-36c66e8e7f19}} before discovering the first UU {{cite:d5...
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0335b213e09bb0f4df5a53b66ba0d7d8
While we applied curiosity search to a canonical but in silico model of a complex system, our algorithm can instead directly interface with a physical system by taking control of experimental knobs. This direction will allow for discovering functional behaviors that exploit unmodeled or unexpected effects in experiment...
d
6c4d2228e8b95c79dac3c0c48be09513
Through the study of the average occupation we will identify a specific multi-species interacting particle system (see again Theorem REF ) for which the closure of correlation functions is accompanied by the existence of a dual process. This then leads to the proof of the hydrodynamic limit with the standard correlatio...
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e97b5fe34be9ae62bd50c035ba13bac6
Fig. REF displays a few such examples for TSR{{formula:5e1bd368-bcc1-4981-8aac-d1523c2c3599}} 8. We compared our results (both visually and numerically) to the leading methods in the field (DAIN {{cite:c9da2b3455fc1fdba5ae211348a2c050eadc8150}}, NVIDIA SloMo {{cite:f9b23311574ff9c4d1eecbcdbc5b767cfafa9159}}, Flawless{...
r
b714bc8085cd809d2a8a7bdfd4ea7188
Now, we would like to numerically analyze the stability conditions of the DIAWs in the presence of non-thermal electrons. The mass and charge state of the plasma species, even their number density, are important factors in recognizing the stability conditions of the DIAWs in DPM {{cite:168f6d23bd34c04236a8bd9bdfdaa7f94...
r
1aae3de0e7e98bce29c0dacd50863339
where {{formula:49e327a7-58ff-44cd-a0a2-4d56c3c3db5f}} is the periodicity cell. This is easily solved, for instance by a saddle-point algorithm {{cite:5a39d83204ef0b938215e47869b3f73e2567f86d}} which aims at finding a solution to: {{formula:09e29c78-680a-4734-9eaa-356230ff7a38}}
m
9850a09c6dddd0fe7b912395cc36df8c
The results of the proposed methods in this study have shown how episodic task formulation affects the performance of few-shot learning. This supports the emphasis given to meta-training distribution of episodes by different studies {{cite:f6b81759189624566d2632ca84b85ce38cec004c}}, {{cite:bfaf3a120e759560f2cfb9313607f...
r
eb867312a409a7e1aed2b6f9b626313b
Equiangular lines have long been a subject of interest {{cite:57f70cb0c0c1450d5fea144088f8f4d6ae3bdf61}}, and since equiangular tight frames have minimal coherence, they are particularly useful in a number of applications. Recent work on ETFs was spurred by results inspired by communication theory {{cite:d90fa42576d2b6...
i
62865527d3142a30edb1c4ad82904f95
Summary of the example: To demonstrate its applicability, the mathematical framework was implemented in AUTO {{cite:28a20a6bfb16dd5410920aaa5a29120827bc3303}} and illustrated by the example of an ecosystem subject to a moving or shrinking habitat. As a result, we provided new insight into nonlinear dynamics of the movi...
d
1cd5881664aaee35fb21d88a86c3e4a5
I have performed molecular dynamic simulations of SPC/E water model using the GROMACS package {{cite:201139f3db75295ccb00124128e9b5e320ce4f28}}, {{cite:2dd25f688f729f5231c84014cfa9891092a5802e}}, simulating fourteen similar systems of 1185 molecules at 1 bar of pressure in a range of temperatures from 213 K to 360 K. I...
m
e24f98ba7c0242a8fcdf72c7e31ddd92
Our analysis here is based on the set of inclined air showers ({{formula:ad1f5be2-0c05-4f7e-b502-554eed9df352}} ) that are reconstructed both with the SD and with the FD between 1 January 2004 and 31 December 2017. For each event we obtain independent measurements of the muon content (with the SD) and the calorimetric ...
m
1ea9f63cbb2a20ac455c2557e99c5863
Recall that {{formula:f141633e-36e4-4592-9b1a-90185aa147ca}} is topologically graded with conditional expectation {{formula:dba8a96a-2c99-4e87-a8fb-453fda4efa04}} . Since {{formula:bb9149ef-7042-45f0-93d3-7e80717e0a21}} strongly reduces to an amenable group, then by Lemma REF , the gauge action {{formula:6331ac2e-d42...
r
58041bfe5f996b207be9d04a52fb8674
Introducing correlation between graphs is a natural next step in modelling graphs, thereby acknowledging dependence also in this non-Euclidean setting. This clearly goes beyond the mean of a graph, a topic with significant interest {{cite:a56fa0235117d7995eab8a22b42d247f70a9b851}}. Graphs can naturally also be dependen...
d
a038556afe7b09471c769f654497c28e
Since the effect suggested here involves integrating out infrared degrees of freedom, there might be a parallel to non-perturbative renormalization group approaches, investigated elsewhere {{cite:981bec56bb985141e411b5a95a8011f31f8bbf68}} and motivated by the analogy between renormalization group scheme independence an...
d
96215055a11ddac61f9eb3407629ad69
FD methods offer gauranteed accuracy and controllable convergence properties for the training of neural network surrogate models. These are critical features for solving real-world complex physical systems using neural networks. NBM offers a straightforward path for applying mesh-based FD methods on unstructured rand...
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7cfdc6b797126250eaeb0a6b40b4861e
Video frame interpolation (VFI) aims to increase frame rates of videos by synthesizing intermediate frames in between the original ones {{cite:e41282a12f4b0b85576aaa9295682bca4ca45aeb}}, {{cite:f33ef1062da356c8a75e48bc9a39f5fab56d013e}}. As a classic problem in video processing, VFI contributes to many practical applic...
i
bd1e3804bef96ac792557a9a7be3e880