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We have also compared the obtained results with several feature selection algorithms like Particle Swarm Optimization (PSO) {{cite:596854276f3e16f6d17e4632dcb2589d92b99d0c}}, Grey Wolf Optimization (GWO) {{cite:26b2530d9979cfc65e36d65958bd6d09a427e7e8}}, Genetic Algorithm (GA) {{cite:d40392f7c6b7e29a35505e8c4d208ee19bb...
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The identification of K on MJD 57843 (March 31, 2017) is driven and supported by the following considerations. On MJD 57661 (September 30, 2016), when the source underwent another episode of enhanced radio emission activity (shaded gray area in Fig. REF ), the overall GMVA total intensity emission was dominated by comp...
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8a67c2e3e08912d8ac67275e2c85e9d3
Using the isomoprhism between {{formula:1b823af4-43b5-46e4-9754-43e637980424}} and {{formula:3e4c5725-e4ca-4241-984b-1c755999f95f}} , we prove the theorem in the context of {{formula:71cb0583-9035-48cf-8da3-00cd75676a64}} cocycles. Let us first introduce two auxiliary parameters {{formula:735d421f-eef0-4efc-b8e6-77c5...
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Computational imaging for geoscience: End-to-end learning strategies have become the state-of-the-art approaches for a variety of computational imaging problems, including among others denoising {{cite:d0e6a1b99d61c7bdcde9a6fc77a3390e2e06e7ef}}, {{cite:677e2e2962638d214f5bdeaa2ebcfe2a6fc249db}}, super-resolution {{cite...
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29e76b6d50487a18e576f33e29bf02e3
DMFT for gradient dynamics: In machine learning applications, the dynamics of RNNs at initialization is critical for training success. Thus studying the autonomous dynamics of random RNNs, provides insights on training performance. Indeed, there is a deeper connection between the forward dynamics and the behaviour of g...
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704df8b2007230a978c245aa442265cf
In this section, we compare our method with {{cite:eae943f399d5bd0b42806819ca6731ea07da4652}}, {{cite:6af36245b36c5e9502c425b3dd7505be4bee5bfc}}, {{cite:3538b2cddd066cc4a7aaa38b0f51262085e16578}} on the synthetic face and CelebA dataset. Since the illumination information in unknown in CelebA dataset, image-based relig...
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75bcf2eb5f48e0c89bb63cb77a2029ce
For the comparison methods, we adopt the implementations from DomainBed {{cite:ed1c24dd84ebffbb7f982d9a6ddca96794f32c20}} while we change their network structures to be the same as ours for the comparison study. We perform hyperparameter tuning for each comparison method to achieve its best performance on each task. Sp...
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5edb72f0e375ec2fe34a502309491110
Even though our method leads to promising results, more work is required to investigate optimal ways to combine transformers and convolutions into strong GANs. To the best of our knowledge, there are currently only two other GAN approaches that use both transformers and convolutions, GANsformer {{cite:0451bf5617cdd9661...
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0314ea9865b34db5a608994a5fda9ede
During the pair pulsation, the progenitor of a PPISN may be a red supergiant (RSG), a blue supergiant (BSG), a luminous blue variable, or Wolf–Rayet star if the hydrogen envelope is completely shed away by continuous mass loss {{cite:f36d0fe5854a80197f7bbe884b1fbdf31a74b019}}. The gravitational binding energy of the hy...
d
9b70a4b6425efad1581312910d02c653
In 1995, Dixon {{cite:f6d967d383a710438d9f0073690621b7f7f5da62}} showed via methods related to Bohr's inequality for power series {{cite:a813bbed799d55b95c4bdbfadb72bcad5f608bfe}}, that there are Banach algebras {{formula:3ee984d3-de62-483a-8ce1-7faa59a6bf67}} which are not isometrically operator algebras and yet sati...
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b89fc746d9c8ca72f8f36fcd4631a306
Our multistage classification method and potential scope for improvement. Our approach offers a general framework consisting of multiple algorithms in different stages: changepoint detection; the random forest algorithm in first stage classification; mean-shift hypothesis testing in second stage classification; post-c...
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860c8c62a5bf4cf2f3a59a701e8e6dc6
Unlike solids and liquids, gases do not emit and absorb energy in a continuous manner but, they emit and absorb energies in discrete bands at resonant frequencies which give dark or bright lines on a spectrum. Further, the spectral lines get broadened and partially overlap each other due to internal collisions and the ...
i
e701dbbf44e6911ce120acde0478839f
The limiting luminosities implied by our measurements can be interpreted in a context of high-energy radiation possibly emitted by either an expanding fireball/jet or by a remnant left over from the NS–NS coalescence. The latter hypothesis is more interesting in terms of constraints that can be obtained by the AGILE-GR...
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cbc24a50669dc32186ae04f7818d72ec
Action Localization with Class-agnostic Attention. STPN {{cite:c65e6df9dffdcdb64edfe14bdaa6f8e56af26f1c}} proposed to learn attention through class-agnostic features but has a low performance as cross entropy loss alone does not train accurate attention signals. BG modeling {{cite:92c6471f07c8a262ef385ab676669af76c89f7...
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1a665cbfd6613fad65f3429eebbf80f9
Acknowledgements We thank Ben Maybee, Donal O'Connell, and Alasdair Ross for many discussions on the KMOC formalism. We thank Ben Maybee and Donal O'Connell for useful comments on the manuscript. We thank Fernando T. Brandt for useful correspondence and Luis A. Hernandez for informative discussions. This work was parti...
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99065fd0726f99eb90288906821c0bed
Unfortunately, existing methods for irregularly sampled are not applicable to our problem. Approaches based on least-squares spectral analysis (e.g., the Lomb-Scargle (LS) periodogram {{cite:fb03cd3a133cfe66000b942560cefbfaefaa7593}}, {{cite:442e59ef3f0e0036219a6b4546ec966b8029ca9c}}) are oriented toward frequency-doma...
i
cd24b4f681adf519f1d545190977196d
The most general statement of the Alexander method was formulated by Farb–Margalit {{cite:8c1de151f2b1d87d05bd4a6f98a1389956363c13}}, but the method can be traced back to the works of Dehn {{cite:fe6f848348cf8b9d6dd8440d4a922977519ab25f}}, {{cite:b369aecaa1aacf5d3f7e39771cefcbead6b47081}} and Thurston {{cite:acb8906bde...
i
4abc0ade28654b5b53c3581ece174af3
To this end, by regarding rotation as an attack, we develop the ART-Point framework to improve the rotation robustness by training networks on inputs with Adversarial RoTations. Like the general framework of adversarial training, ART-Point forms a classic min-max problem, where the max step finds the most aggressive ro...
i
633b009e831c2626189dc1bf07c2142c
One must apply the Barrow entropy for analysing its associated phenomena because of the long-range interaction behaviour of gravity {{cite:9a31cb0ed7599a753f063a56c36523b1491c2e40}}. This research is motivated by the Barrow entropy {{cite:55fae27c84dc7171f2b5e5e56b3628ba1a4fab90}}, and based on the holographic theory, ...
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fb3751bd5f9b70c55df5833af2893ed9
Fig.REF displays {{formula:e53a17a4-6cd6-48ae-a1dc-7a61c8061eae}} as a function of R. Notice that for values of {{formula:bab9203c-58f3-4430-9bd4-8b893e54e150}} (UR region), {{formula:a3734c54-3fd4-4160-90af-f9bb25559749}} takes almost the same value for the three models ({{formula:02d1fe58-8f16-431d-97e8-4f34c626c...
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Figure REF shows analogous results for CIFAR-10, using the PreAct Resnet-18 architecture as in {{cite:3ea3b9829291fef117bf5049510854215ea05140}}. Again {{formula:17d80fd1-6e2d-4b6a-aaa2-cf469affbda2}} -mixup succeeds in finding matches that lie significantly closer together as {{formula:0ed44e53-2110-4f5b-9eab-decf489...
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Note that the trajectories selection method used in item 4 of our algorithm can be very simple - in our experiments we randomly select trajectories. However, our method is complementary to other work on selecting informative trajectories, so future work could select trajectories more systematically, for instance filter...
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6e3a26f224f0edfeac8902b9365b50e3
We further evaluated proposed training pipeline along with ensemble of our two models, one pre-trained on CrowdHuman {{cite:a3685c28a21e5360469c3ce1a6895f623c518394}} and the other one on Wider Pedestrian {{cite:5cd444f54354d39a171519f88aaf987496f3f10c}}. Ensembling is performed by combining the detections followed by ...
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872383e5326992672a23e331786217d5
Nonequilibrium Green-Kubo relations that relate macroscopic transport coefficients to local current observables have appeared in the literature in particular situations. These studies can be categorized according to the method. For a two-dimensional nonequilibrium viscous fluid {{cite:90b8544152799e60f445510f1a893f148e...
i
0f8fb7e5d7590915fae1a96a700f4b4c
This work considers a nonlinear coupled fluid flow heat system. Fluid flow is described by the incompressible Navier-Stokes equations {{cite:73170660e2b56a95061d1a809a6fd5c5273f7c96}}, {{cite:4d6cf5a7003eb2c1e548c9e06a78d89b62bb83a1}} (for important numerical developments, we refer to {{cite:188f307cd868e7b821985ea62b4...
i
d1226a51f7184af7368b46e95189578b
For the first time Lubotzky and et. al {{cite:db1498b6943e2d25950a19cbf7704275204c7fa6}} and Margulis {{cite:428485e587750c44d05f84a5f542c2b10fd76405}} found the infinite families of Ramanajun graphs. Adam and et. al proved the Conjecture REF for bipartite graphs. In addition, they showed that there are infinite famil...
i
807c4e19ceec3afbd38eeaedd93b30a9
DFT analysis of interlayer charge transfer. The analysis of weak ferroelectricity in this work employs the VASP package {{cite:d2a2b164f26406a990388a4530e1dd8552cba1b0}} with projector augmented wave (PAW) pseudopotentials. We approximated the exchange correlation functional using the generalised gradient approximation...
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408bb6964b10834e19e1a0293190c8bf
(Reinforcement) learning based methods for the TSP can be divided into two categories. The first category solves the problems in an end-to-end manner. Algorithms belonging to this category are usually based on deep neural networks. When receiving an input instance, they use the trained learning model to generate a solu...
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c9bc9e83ae23b83f16e9f5c4f6259e89
Section addresses the question of whether the remote state reduction of an entangled system by a local measurement on its entangled partner system constitutes a real disturbance. To this end, Section REF introduces a steering-like statistical inequality testable in QM or a GPT. Section REF develops a criterion to de...
i
e2b03dc1e50e1d2e804c621292d7c234
If we return to the classification of the Galactic globular clusters made by {{cite:16790510f6c9f1fcddfc8c4d18505c1cc206a4a9}} on the basis of their kinematics (energies, and angular momenta), we can take a new look at the age-metallicity relation(s) of clusters which in their study are associated to different progenit...
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241019d815af778f8cdb2269d6750484
There are a lot of studies on the compressible MHD equations in the literature. Here we mention some results on the multi-dimensional case. For the two-dimensional case, Kawashima {{cite:5e09cd399183c850af6ead393a4d62bdd1ab9915}} obtained the global existence of smooth solutions to the general electromagnetofluid equat...
i
c47ba7bec16f43b3f037ed22e1391644
with parameters ({{formula:7311391f-f57e-42cc-a582-0b73fb57899d}} , {{formula:7de94aab-f4cc-458c-a187-27967ddf1081}} , {{formula:c28db3f1-7e2a-4526-8b9d-7227dffedc22}} ), initial value {{formula:bd31836a-265e-4333-9edd-10fac4df3832}} [0, 20]{{formula:7b6192af-a4bb-4b29-a4d1-645fc3f4e086}} In the first part of this expe...
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68346ef7a3114a0569c368fe1ceb8ac4
In summary, all the reference trends yielded {{formula:1813d825-c8f1-4899-b38c-3fe9c0d7f463}} measurements consistent with the reverberation mapping values within their nominal uncertainties, with the decaying trends showing a slightly better agreement than the rising trends, which have a tendency to underestimate {{f...
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08328a94fae52f052d025f407c6882ae
{{cite:08ec69ea21c1f62e07be7e4f53d5822e51493b4f}} proposed a rigid-bubble model in the mesh-based simulations to overcome the issue of bubble integrity: in their model, bubbles were assumed to experience no deformation during their buoyant rise. Despite such a strong assumption, the model captured several key features ...
i
730cde65d1db99db9f3bcd98eb0f5d11
An exciting direction that remains unexplored is to also train setter agents using the data produced by humans whose role it is to set tasks and questions. “Self-play”-like settings have proved powerful in developing agents in games, where agent roles are symmetric, and reward signals provide positive and negative feed...
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88d16ecd81022a41676cde7dd5120dab
We propose the use of a variant of the Xception architecture described by François Chollet in 2017 {{cite:11bcf77f9f84693cf5aacc11903a1179f3f63f2a}}, due to its low computational cost. This model recently achieved state of the art results in multiple computer vision tasks {{cite:806f3807cfcf8aa244ad3458169c5ec2a7dfd7f...
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0fa81dc7e4d5da199afb018d03155402
Recently, physics-informed machine learning of dynamical (or Hamiltonian) systems has been receiving a significant interest owing to the wide variety of applications in the physical sciences. Greydanus et al. {{cite:77e546b6f4f0f2ef8813f3f44fcffbfeb5386412}} introduced Hamiltonian Neural Networks (HNNs) to learn Hamilt...
i
54f6561db5c5de5922cc9a2d699c69a1
Baselines. Given our new multi-scan multi-body setting, we made adaptations to previous methods and compared to the following 4 baselines: (1) PointNet++ {{cite:5d09f63c764001946727ddd6bce3c11eb0c7f984}}: We use the segmentation backbone to directly predict {{formula:ad6ee388-c82b-4736-b0fd-fed2dbe75535}} matrices. W...
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ef0516e04f43b2fc04c6621e30add2c4
In this section we record a number of properties of certain boundary extensions of holomorphic maps between simply connected domains and the relationship of these boundary extensions to the harmonic measure of sets on the boundaries of these domains. In doing so, we use a number of classical results on the boundary beh...
r
9f462eb2a321f7c6a3429b4a3d11a741
Our focus is on the extension to {{formula:50f4df7c-60fd-4a1b-bd21-2eb06f81a95d}} -uniformly convex spaces of tools from the analysis of fixed point iterations in linear spaces. We are indebted to the works of Kuwae {{cite:d37db180defabb56b1ddd7eb2dbaed5fe78e5aa5}} and Ariza-Ruiz, Leuştean, López-Acedo, and Nicolae {{c...
i
689e05207f4004d596348cf469401538
In our study, we have obtained a class of {{formula:475e1e83-38dc-4b51-83fb-df5e03595c09}} theories that exactly mimic {{formula:4640097b-ca00-4718-91aa-e3c4341ea7b6}} CDM expansion history, even if it is impossible to distinguish from the GR using measurements of the background cosmological parameters. Then, it is an...
d
f4290cfd01d4841b2a7cba205df8e0fb
The confinement of a finite thickness {{formula:0f250a2a-bbef-4650-8920-4f957762164a}} in the multilayer structure can quantize the momentum in the {{formula:e967a93a-dd58-4263-9e6a-f9b615ae7a01}} axis, leading to 2D subbands. If the multilayer structure center is set as the origin, we can choose {{formula:6acb4a03-2...
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e98f98bb7db6c4fcc0fe247a07eb18d5
The mid-latitudes, defined loosely as between {{formula:0e650d9a-c97e-42ac-97ec-b7f14fd9c9f2}} S{{formula:aeb4e4e1-e03b-4538-ad83-accc29215bb7}} S and northward of {{formula:ac1ca2cb-f20d-4444-afe7-14822f68ed01}} N, are where Neptune's brightest and strongest methane cloud activity is observed in the near-infrared {{ci...
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52bb584e203cd078b18ebc3857442bd0
Here we used a simple linear classifier to measure the quality of latent representations, which is an obvious simplification with regards to cortical processing. Note however that also for more complex `readouts', organized latent representations allow for more efficient and faster learning {{cite:28e53c20f3114c95e5783...
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25efc5b417c938abfb0bbe67c062f888
Topological properties of matter have always been discussed in relation with topological pumping. In an enlighting gedankenexperiment, B. Laughlin related the topological nature of the transverse conductivity of the dimension {{formula:f9a5ebbf-6f4a-4997-8fdf-785aa9741614}} quantum Hall state to a transfer of charge b...
i
5d8cdb5ef72edeccf3622ef53f2eac88
In this section, we compare the results of our algorithm with the state of art for every {{formula:23132522-0eea-4d0a-8493-a900d533533b}} and for every {{formula:49014570-000c-40e1-9983-ad97a22ca0a5}} . We averaged over 50 different realizations of {{formula:942c4472-12fa-4c79-8d19-4074b6f3bff8}} where {{formula:4373...
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f1d600d98d874e4d014153f5b65c06e6
We consider three different photosynthetic exciton transfer complexes; the Fenna-Matthews-Olson (FMO) complex which appears in Green sulfur bacteria, the PC-645 protein, which is a sub-unit of the photosynthetic apparatus in cryptophyte algae, and LH2, part of the photosynthetic apparatus of the purple photosynthetic b...
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e9792c40f0bfc54110864b9271fc3953
Finally, we want to discuss our motivation for considering {{formula:ebdddc8d-169b-4739-8daa-08c4b51fa4f0}} -adic spatial rotations in the first place: it grows out of Volovich's {{formula:e6934714-5252-4c1a-9155-7f5b7077542d}} -adic quantum theory, in which Euclidean space is replaced by {{formula:7e3b46fb-f9ca-4ebd-9...
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de761f0b0f0411ff34f16985553f2efc
For the experiments, the network weights and biases were initialized with unsupervised greedy layerwise learning of SDSAE. The weights, biases were then fine-tuned with each of the proposed fine-tuning procedures. Finally the FRC mentioned in Section III.B was trained on data obtained at the last hidden layer. The resu...
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f796fa8ec51776294abda2fc462cbfb0
The CNN architecture consists of 5 convolutional layers of 64 feature maps and 3-by-3 convolution kernels, max-pooling with size and stride of (2,2), and two fully connected layers as illustrated in the figure REF . Dropout(0.5) is applied to the all convolutional and fully-connected layers to increases generalisation ...
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3f5d0a691d0c74391f014e6d6cf334d6
Low-ionization emission lines (LILs - H{{formula:c003ac30-21bc-4de0-a794-35329ca0fdb3}} best studied feature) in quasars frequently show asymmetric profiles. The H{{formula:26df4a13-3697-429e-8770-cd45077649ed}} broad component (H{{formula:b73f5454-bb20-47e8-8a82-36426040332d}} ) in Population B sources is usually we...
i
ff6495a43b089bfd78ca1bd937bb6c0b
We have included three DNN models for denoising: QRNN {{cite:448e2689d98697b842f80a3b9a61b7b43b92989b}}, MemNet {{cite:2d732dc49e664fa823828135d0485885fa6e8bc1}}, and HSID-CNN {{cite:f2cbe6dd3e4502242bc9e0997f2fdb218a2cfec2}}, {{cite:448e2689d98697b842f80a3b9a61b7b43b92989b}}. The base implementation of QRNN has 2D and...
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80e7310667b85f381345232c68f5a993
The well-established DFT + DMFT method combines realistic band structure calculation by DFT with the non-perturbative many-body treatment of local interaction effects in DMFT {{cite:d4998b50b694df069c33b6e9e7ceee4445722c76}}, {{cite:9ba5b397f9bb305bf7adc58254144073872596f5}}. The DFT + DMFT method has achieved great su...
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b1ebf293cd2d6aacbe8ac15f1ecc8a95
For context, we first sketch the derivation of the electronic contribution electron-hole kernel matrix elements, as detailed by Rohlfing and Louie {{cite:bc71d6607f2d24ad80f1817c88096f37a7bb2e0c}}, {{cite:4956096e6251787eb31bf9fed0806634b0845ce0}}. Adopting a plasmon-pole model, we express the electronic contribution t...
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44ee2c5e4a9319041266f4ad9f895807
Ytn = tTgn(s, Xsn, Zsn; (-n, h-n)(s, Xsn)) ds - tT(Zsn)T  dWs, in the sense of (cf. {{cite:869efe4ae363b2f54cf2e563f796b5454bb51ca8}}, {{cite:a1a98d4f69ae62323000f213239260cfbbad5dcd}}, {{cite:032a6ba183ec7b507c94d8ca0dee9a91a59fa768}}) {{formula:ee1f20d1-d636-4a5f-bfe3-d9b4ef84b9e3}}
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e019d2859cd60ded1032c9ca74a5da14
and use a line search algorithm {{cite:a75d15d4d68d275033416969505c4aa716c402ce}} to find {{formula:97cb88b2-8baa-4730-8fb4-2df9fdd7cd32}} , and update {{formula:2aa61f6f-7f5e-4714-b5d6-573a79e0657c}} .
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fa41fbe32d8e58ad4912fab040ce2e6a
We prove in this paper that {{formula:f7f73772-a460-43aa-bae9-3a50a760cbe0}} is a {{formula:cc6a8c16-545f-4e80-9b76-9197f830cd5d}} -critical scheme in the sense of {{cite:f6f233e07b26474409df35681a8f06b5f2ce8928}}. Of course {{formula:9f1bfe6c-ec04-45fd-a126-6a31464fb21d}} does not always come from a {{formula:fec74a...
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7486e4bf0300f4d29e831dfbe70cd14c
Through the visualization results in Figure REF , we find that the position encoded by the CNN model is the main reason to cause the shortcut solution. According to the previous work {{cite:bd37aa090aaea62b2eb08f17d20301f38cc18dcf}}, the position information is mainly introduced by the zero paddings. So a straightforwa...
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After sampling, we had for each image 51 points, in ascending order, that represented the luminance CDF curve. Based on {{cite:e4c9057fcc23c3b5035263eb163b48d65780d85a}}, we implemented a machine learning framework with, as input, the dataset of 51-sampled raw images and then each artist's 51-sampled edited images. We ...
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8a5910f1298f7d2eec578e0a5b5c67c2
The multiple testing problem is fundamental to high throughput data, and the necessary statistical stringency makes detection of features of interest difficult unless their effect size is large. We have shown here for representative data sets that the power to detect most true effects is very low. Unless this problem c...
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83b490704b67a00236e47dbc6afe3f54
On the other hand, an additional coherence known as SGC can be produced between two degenerate lower levels with non-orthogonal dipole moments in a {{formula:e4ccf0c7-264d-4d35-aa41-0820ac914cd4}} -type atomic system {{cite:02aa228b704ce35966f10af68e9abe4be100b2c6}}. Some interesting results due to SGC have been observ...
i
45b00bcae00cd8e2dc9c17b7eaa6a444
The alternative evaluation methods we find more promising are qualitative rather than quantitative. These aim only to check whether {{formula:ebf6ad1a-aca9-446d-8f50-7fde73c22d19}} is very wrong. Perhaps the simplest approach is to plot {{formula:9cccdf2b-00ee-404e-8b4f-b7c76b4be99f}} together with {{formula:2090d849...
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Finally, consider the setting where the quantum state {{formula:bdcf3e8d-1b16-4c05-8388-2ebb4ada7a94}} is obtained from an exponentially long classical vector {{formula:eae9edc4-cae0-4997-bc7d-6b9c99f618ed}} stored in classical RAM (random access memory). In this setting, constructing an SQ access is less demanding t...
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Regarding future work, there are a few ways one might consider building upon what has been proposed here. Firstly, a natural extension of our models is to consider a mixture model, with our SIS or SIM models functioning as mixture components, which would allow one to capture heterogeneity in the observations, opening t...
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18feb0cb108ad3ffd662b2a81009b494
Prior Work: The existing work for RIS reflection pattern design normally requires explicit channel knowledge {{cite:142fe5ca2281113201d9b114dc70d69ffe1a8aff}}, and does not focus on designing a codebook {{cite:9afa3c452f55c57c64d8a1b1a3edc34fb601d9c5}}. Furthermore, the reflecting elements are normally assumed to have ...
i
08af9b5223e13a5ba7725354197c8524
where {{formula:9409378e-8f37-4ca9-b1a2-4db587e68088}} represents the nuclear norm {{cite:6a62ae7290e1e78d26bf8fc448640232d9dcaa0d}} ({{formula:32201673-7001-4ee9-9abb-9aafa9090aab}} , with {{formula:ac6a8934-6990-423c-89f1-abcb97b6eeb2}} denoting the {{formula:6cc935ba-5609-4460-ad09-ee60c0e941d6}} -th singular valu...
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72ac0f288c2efb12b23a1d36ac54082f
Let {{formula:301603cc-d28b-4d4b-82f4-b5362b4a71d5}} be a partition of {{formula:b65f5c17-88e8-4ac2-b2ea-38936ab6fe55}} , {{formula:7453f859-3c35-4471-9fe2-82b7c9d5a7d7}} and {{formula:c667b35b-8f5c-48e4-82f8-19a7e3ac2f59}} . To construct a numerical scheme, given a sequence of values {{formula:f2c74aa1-4e13-4228-b51...
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with {{formula:db54f2fa-f767-4dc7-8e5f-e780cc34cfae}} denoting the mutual information {{cite:3c2cc2ad709184118ffcc6aa0a8d4f91f013d4d4}} between X and Y, and {{formula:5c7ecaaf-ff2d-4c64-ba72-781e693ca284}} a non-negative real number. It is well known that the constraint set is convex and compact with respect to the t...
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Generative modelling describes a class of models in which we want to learn a distribution {{formula:2bbcbfb4-69a5-4918-beae-864f65e78670}} to approximate the true distribution of data {{formula:bb6ee921-b4f6-490d-8938-b40bea582f52}} in a dataset. Understanding the generative process behind some data is often very use...
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36da41273e7f4701d1210b956b81b47e
It should moreover be possible to remove the condition on {{formula:e702c40e-9f61-41fd-8c35-241655e87187}} in the non-acyclic case. It is currently used to produce sections of determinantal line bundles, which we use to check local reductivity of the stack of semistable representations in order to apply the existence ...
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8e02c35a0c29841081eecbc967edff0a
The theory of one-parameter {{formula:5f893370-4481-4cc8-ab3a-bf752a89834b}} -semigroups (strong continuous) of linear transformations {{formula:335eeb62-15d7-40ff-a01b-8b8e2df949d5}} on the Banach space {{formula:d65ade9e-1e5d-4914-a187-859536bfe9ce}} introduced in the pioneering papers {{cite:a3851a8aa68297e714b31e...
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bdc1c6d2b977e38f0cccff3ef3942e1f
While Hamiltonian systems are important in the mathematical sciences, there are some important restrictions that limit the general applicability of the Hamiltonian framework. Amongst the most important restrictions are systems exhibiting dissipation and systems that cannot be brought easily into a canonical Hamiltonian...
i
241cafa3a57cdc83ce8894945390d6f5
The artificial potential field method and its variants are a family of planners whose instances offer simple and fast computation for mobile robot obstacle avoidance {{cite:d7d840502fab11bad0e87c2140ea0106cf05dc90}}, {{cite:eb0c15f1e47c544308a926e5a96dd8ee6dadb438}}, {{cite:9ac1eea509ecd77927eff195d548dae249f69492}}, {...
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e8c99e0d987e21c1ce34bf06f20608fe
It has long been suggested that this generalized interacting stellar winds model of PN formation {{cite:a819972414dbf05b3c4699a550ca50a563ea50b5}} is too simple to explain the wild variety of PN morphologies {{cite:33d1524637c9ff4cff781762d45b785a18c9d802}}, {{cite:af19b4f54908de28750fcb4399325ad5871c92bd}}. Several me...
i
3713008eb38765b8c2e78db775a903e4
A traditional metric to calculate the distance between two lists of ordered elements is the Kendall's {{formula:f6ff2a52-9950-42ce-a90b-09b3abcce777}} distance {{cite:1829ff4596a3034e242443e1dd62858f200eef78}}, which considers the number of pairwise swaps of adjacent elements necessary to make the lists similarly orde...
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c0e2788a3080a903bdef002947b18f21
The numerical solution of FP equations has been widely studied. There are several methods (see e.g. {{cite:11a22fa3fc0bc0b3f86a0c645e55bbb1f5a62025}}, {{cite:93c20612d073a557bf1d48d5dc14ed6d56d81950}}, {{cite:26c280879e5b539f60fe937d2b9610824990d4df}}, {{cite:c96407b399269cfc53b9d98c58c9c5c6618cb717}}, {{cite:491d1c8fb...
i
cb88d60cb55a41ddf2f531fd8e1f0d3e
Before estimating the freeze out temperature, it is first useful to expand the annihilation cross section as a power series in velocity. Because DM is non-relativistic at freeze out, the lower velocity modes will be the most significant annihilation channels. This expansion essentially encodes the temperature dependenc...
d
5d58d970a97282f12bc0f08b8a4db66f
In summary, we have constructed an infinite class of modular eigenmodes ({{formula:8e09eaa1-66fb-4208-b292-71cc72c9dce7}} ) for the single interval in the vacuum of CFT{{formula:e0bb4466-5050-4932-9591-07c68629a55f}} . These are expressed as smeared integrals of the stress tensor components and thus exist in any CFT{{f...
d
9c98ab374c721fcf54f20e78124e3e77
I will devote an extensive fifth chapter to modelling the modes of the bent waveguide, combining analytical considerations and numerical modelling. In this chapter, I find solutions to the Helmholtz equation {{cite:0fcc883bcf92b557bf666c0cbeb8a68786b24b03}} defining the modes of an optical waveguide, going beyond the a...
i
a9e964562f7dbc59ddaf284ae079fa5d
We have extended our original work on cluster false positive rates {{cite:02b34c8df201f2f483ef3b35b43945ad89262902}}, {{cite:c9bf224532b6af1c653d1ff9d1103bd479968f5d}} to two-sided tests, showing that parametric methods perform worse for two-sided tests. RFT p-values depend on a number of approximations:
d
2f98b65c329e972a5a170226842bd3d3
In the traditional teacher-student knowledge distillation framework, the existing methods all use a certain type of teacher knowledge to supervise the same type of student knowledge, such as soft target{{cite:926a410cdd034e6368f5ff43fd8c012278fa15eb}}, hints{{cite:fe295e634714cebc6ca5f0cfe9eb7f74d57ebbb7}}, attention m...
i
7d1320014e4d4fde0028c528d4d652a8
For the strange-quark contribution, the results published in {{cite:96611885d58360bb15555d0d908104194308f331}}, {{cite:2d469cc488a0c823d73fbbb211b1b6fe8626cb0d}}, {{cite:e8f019e75657e80df24f3e575accb011a1cd8c0a}} are in good agreement. It suggests that the scale-setting determination is not the cause of the discrepancy...
m
d0c9bd6317e1b4cefe278d85af3f4205
It is interesting to look for more general solutions in the {{formula:dfa6acc3-e33f-478d-899f-996f8d23769f}} case in particular solutions carrying both electric and magnetic charges of the same gauge fields. In this paper, we have given only some representative examples of the possible solutions which carry either ele...
d
48cb67423d0750bb30d49c31876f2af2
Multiwavelength observation provides a systematical study on the GRB radiation mechanism. In particular, Fermi-LAT takes an important role on the GRB observations in the GeV energy band. Here, it is helpful to discuss the GRB emission in the GeV energy band for GRB 1901114C and GRB 180720B. GRB 190114C detected by Ferm...
d
9ba6a7caa2f59fbe8e928a0c265a4c70
A major limitation of our study is that we have used synthetic experimental data. The use of synthetic experimental data provides an ideal setting to validate and quantify the accuracy of our model. Ideally, one would select low-resolution in-vivo data as the experimental data, perform DA with CFD, and assess the accur...
d
07143fa173af630854755d0dc43d25e4
The diffusion map finds new variables that reflect nonlinear combinations of metabolic capabilities and returns them in the order of their importance {{cite:51cf635c70b22cfed9565419bff7d7fb063ca21c}}, {{cite:50335a63e6176d01923989eedf6146fcf6a4eaa6}}. Each variable assigns coordinate entries to the genomes that can the...
r
a0dd20bae557d12b3c2fe5c85f9d95f1
The reweighting procedure, necessitated by the difference between the transformed (reference) and the target distribution, was performed using the importance sampling or the free energy perturbation method. This is the simplest possible reweighting which still provides accurate results. Since we have access to the norm...
d
f3fff33c93b98e058c5b857d79335150
On the other hand, the EOS in a lower density region is also gradually constrained through terrestrial nuclear experiments, but still, there are large uncertainties in EOS parameters (or in neutron star properties) constrained from terrestrial experiments. For instance, the fiducial value of the density-dependent nucle...
i
be09cfdd57c086a45344659c0dee48d3
We use the KITTI dataset to evaluate the performance of our method under real road scenes. KITTI2012 dataset contains static scenes only, while the KITTI2015 dataset has more challenging dynamic scenes. Following {{cite:8ed17d02ca66938451d11744e226a2bad701d91c}}, {{cite:b1bb7a17b35a3a4527439bb4e7971c4fd295290b}}, {{cit...
r
8a2f6b928f77e8d4c7a485e807e74a79
In addition to comparing with baselines such as Majority, normal fine tuning and prompt-based method LM-BFF, we conduct more experiments to verify the effectiveness of our proposed method PromptDA as a plug-in module. Because different template choices can result in a large variance of performance {{cite:a66e9c0732c1be...
r
94cb1e1fed2b959e5934e6cb3bee523d
From Fig. REF -left, while the values of {{formula:5a33c577-ed0a-4881-9af4-c44dd317e9d6}} are constrained by the current LHC data {{cite:4a9e53ffd7ed821ae9aae336dfb022ab1580e513}}, the branching ratio {{formula:6a89be80-a5ca-4cb7-ba98-dba167ea0d5a}} is modified drastically with respect to the SM, it could be almost n...
d
f86c6e30a1b0e1afbb85f62f0f3f8c82
The following result can be found in {{cite:1538f30d7c5521ed241324576908bdeb92ba9ab4}}.
r
bc245178733b04c3bfbf8015c579d169
The realization of our scheme is within reach of current state-of-the-art experimental technology. The ultrastrong and deep-strong coupling regimes have been realized in several platforms, such as superconducting circuits {{cite:844be856c4f85cffe4f5f827b15a81fc58a60583}}, {{cite:0f017f76d4d3a73eb43ee1cabee1cc82177e41e3...
d
55d21893c67fea3e16c26e0903834c42
Thus we conclude that the simplest approach to gravity bootstrap, discussed in Section , fails. However, it shall be noted that the whole bootstrap paradigm must not be reduced to mechanism is spirit on the naive bootstrap. Namely, it is established that the cubic interaction described by general relativity (REF ) is t...
d
d4de38f4b310d7718b5ee18f57424774
From Section REF , finding an optimal policy is equivalent to solving {{formula:fc033617-3d46-48f3-b90b-9fd24ae44bbd}} . It has been noted since as far back as {{cite:407f80f0cefd9b6dc59fad0bebb627d3e85c89f9}} that the operator {{formula:c8f05516-fc41-4c9f-b68a-0caa42718478}} can be treated as the gradient of an unkno...
m
3aa29b7ec18f0bd964f31343be4e2393
is said to be the inner {{formula:784eab9f-aa4a-439e-9d65-8f67873c9a6d}} -weighted equilibrium constant.Similarly to {{cite:b0d682d3a500687410043e3d300e9ea48280455a}}, {{formula:992f780c-3f21-4e04-9a0a-4df33ae3f308}} is also said to be the inner modified Robin constant. If moreover {{formula:6b27ce5a-a6e5-4e3f-9def-1d...
r
d652b3997edc787672ee07a98edddd99
A fundamental aim at the intersection of economics and computer science is to understand the efficiency of systems when the dynamics are governed by the actions of strategic and competitive agents. A large body of work has established bounds on the price of anarchy of various well-studied games, which measures the gap ...
i
5382a829d0a53864d6b6688fe9abd616
Closely related to CL is the collection of streaming methods {{cite:313715afc7ab5c355e5d27d8cb5f8347e08a2650}}, {{cite:f9902bffad848d5e97c37cd3bbeeb53822a3d307}}, where data items are seen and queried only once by the user and then discarded. This is of particular interest when the summary statistic of choice is update...
m
242d870c81330546927a59354df81c26
Our implementation involves a multi-head GAT {{cite:1edd85e391d0fe0ce8fa2714d24ae20cb1cac491}} model as the learning backbone but relies on a new graph construction strategy to make the GNN encoder compatible with multilingual data. The graph construction process is demonstrated in Fig. REF . Multilingual data is proce...
i
7f98beb1fc58a5225bb64ac701d85d00
The numerical results presented in this paper were obtained using the Julia language {{cite:758141e5d364eaff7e7ec2584b98931c92652220}}. We would like to thank Bogumił Kamiński from SGH Warsaw School of Economics for helping us to implement it. The program is available on-line.https://math.ryerson.ca/pralat/research.htm...
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