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We work over an algebraically closed field {{formula:d53c28b1-408c-4224-9fe4-ed9e7767bc1f}} of arbitrary characteristic. All the Hopf algebras and fusion category notations follow the monograph {{cite:f4f20cc212e60ea14cce519b79dec684f209a191}}.
| i | ba7411d6a7d7035125cd59795b1dd791 |
where {{formula:df01381f-aa42-4fa2-bb08-87ba8fa773c8}} is a random binary mask, {{formula:3c87661f-4338-46b9-bb02-f37bac3a9106}} is the pixel index and {{formula:17243eef-5ed2-4bc2-933b-690a6131adfb}} is the probability of the pixel {{formula:abd3bfe6-f13c-405b-a8b0-423889e2444f}} being 1. In this case, {{formula:4... | m | 26b95413a8b2ae57f882363bada3e24f |
where {{formula:c1a6b736-c79e-41ad-b3b1-0299d8843678}} is the distance between adjacent samples and {{formula:b3f702e2-f5ea-4940-8548-beca28b1d91d}} . This expression is fully differentiable, and reduces to the traditional alpha compositing with alpha values. NeRF {{cite:7d16163749bbb8c6b8303df3813185b21e915b03}} adop... | m | 1fd5da2d4a6ca1dad7f9b4b6b4059ddb |
Given the work that has been done on extending the classical double copy on maximally symmetric backgrounds {{cite:438aa073f29f19868c789d726400f85ba6ed65e3}}, {{cite:492651bb4d94c9b805037f9763181bc514d85c53}}, it could also be interesting to consider maximally symmetric extensions of the twistorial formulation of the N... | d | 933b1a904efc819e47f3184bfb463200 |
The term message denotes the unit of exchange between two IPs in the SoC. Though complex in nature, the message flows could be represented as finite state machines (FSM)s. The SoC architectural simulator gem5 {{cite:b1591a78c2f4e19a3c44d48f2d5138499d5b488f}} includes such FSMs to describe its CHI ruby protocol {{cite:b... | i | 4863d4ba42d44eb2a23507bbc5c7bea7 |
The last metric used in active learning is the variation ratio {{cite:bd04a41193c9a139b985be2ccfe67683ce0b5700}} which measures the dispersion of a nominal variable, and is calculated as the proportion of predicted class labels that are not the modal class prediction. It is defined by: {{formula:e4e69bb9-ecfa-41b4-a1bd... | d | 7ad7dc001febb095e615678d08ff7096 |
Comparison with attribute-based ZSL. We also compare our result with
the state-of-the-art results of attribute-based ZSL methods, including Lampert
et al.'s DAP and IAP {{cite:ed7d17b3de6e1f4a30cbecf53b827807f74c4d63}} and Akata et
al.'s
label-embedding method {{cite:c198f1600d39080a36daa84ebe9b1cd54fa12bdf}}, on the A... | r | 21894ec83522548c15d4f97ccf363eb9 |
The performance of the proposed BPSO method will be compared to that of the BB algorithm, that will be also jointly applied with GP. BB was first introduced by A. H. Land and A. G. Doig in 1960 {{cite:b7e18a3e009002f84eb1ce0e3d833512aafb228c}}. It is an optimal algorithm for solving combinatorial problems but it requir... | m | 2e70ecb95b100f93918f3cd8741f4c2e |
Another alternative for initialization is the tensor power method, which has recently gained popularity in the context of learning latent-variable models {{cite:801d48d65a85ec588953737884d12b079b442bb9}}, {{cite:b2fd9be09ddfacf7b594bda60998154a08d69297}}. Nevertheless, the TPM (with random initialization) suffers from ... | m | efdce9f38c570203f7a7abb45411cabe |
The second approach that we study is the upscattering of DM by gas atoms in a hot thermal source. DM that is thermalized near the Earth's surface has kinetic energies near {{formula:f09d98ac-a803-4ed3-aa7d-3585ccb7d422}} , well below the threshold of any near-future direct detection experiment. However, in the presence... | i | 8f607fa044a6b479549d822dc8ce2dbc |
This section presents numerical results of
well-known test problems for benchmarking the modified SF-PIF
methods' capabilities. We mainly compare the results
from the third-order and the fourth-order temporal methods of SSP-RK and
SF-PIF. We used the well-known three-stages, third-order
SSP-RK method {{cite:fe398cc7aca... | r | d89c3bbd91fbd35727ef4a40ba0a7020 |
Our numerical experiments include comparisons with a variety of models and methods.
Total-variation Regularized Least Squares (TV) is an important baseline that does not use any training data but rather leverages geometric models of image structure {{cite:198a3c71077f2b2da71996be4082d764f9096c7e}}, {{cite:08c7bf6473fb5... | m | f14478b148914bfe7ce061c12de77a2c |
Seq2seq {{cite:ea8b978dd9f23c5430d9e00855504610a93fa232}}, breaking through the traditional fixed-size input problem framework, converts an input sequence of indefinite length into an output sequence of indefinite length. It also incorporates a Global Attention mechanism {{cite:8ad6c14548f78e8a2b436367021958818a302800}... | m | 380ab5e7e3e52e46d24833ac3da1dfb1 |
For nearly a century, small molecules, or organic compounds with small molecular weight, have been the major weapon of the pharmaceutical industry. They take effect by ligating (binding) to their target, usually a protein, to alter the molecular pathways of diseases.
The structure of the protein-ligand interface holds ... | i | 8166a16cdb451dfa13ce84e73201e856 |
where {{formula:f00bd447-9ec8-44e7-9038-f605c1e7e129}} is the viscosity of the fluid and {{formula:0c3d5a25-3e3f-4dbd-8572-e564f46f9be1}} is the force per unit length exerted by the filament on the fluid. {{formula:f9d8686c-05eb-4e5e-a90e-4c9e29487172}} is the operator for SBT {{cite:161bc5798ed767b1f6fb8d346c4c18d... | m | cce8272136000e5e670a44b054a051cf |
A partial covering scenario can also explain why Mrk 335 only shows a mild trend of softer-when-brighter (Fig. REF ) because a partial coverer would preserve the spectral shape as it leaks different fractions of the same
intrinsic continuum when the covering factor changes. The softer-when-fainter pattern at the very l... | d | bf04132484b986647d20d783f28456f9 |
Given a batch of ground truth trajectories and corresponding measurements, how should we learn observations models? One approach would be to learn a direct mapping from measurement to state, for example as a regression or classification problem {{cite:4d5c92648bd8fb99b29c1e365947fda4136ad47d}}, {{cite:c0cd99327f2453b99... | i | e28727925ceeb33c21ac6cac3e06f029 |
Over the last decades, numerous algorithms for point cloud registration have been proposed, which can be divided into two categories: coarse registration and fine registration. The coarse registration algorithm can generally be divided into three steps: 1) extract the structural features of points; 2) search the corres... | m | 7e196e679798dd783b5aea10af65bbf6 |
Formally, {{formula:a0fc930d-b1c7-4d3a-b41d-b85812824389}} Majorana fermions act as matter fields and {{formula:60313881-c230-4344-8f56-e15af4762c71}} Majorana fermions act as gauge fields. The {{formula:51990023-348d-4094-95c5-20846d655185}} and {{formula:868dd98e-c74e-4afe-9e0d-b114e44ec0fa}} Majorana fermions ar... | d | eb309eaa5a6916ff62835bd28f024759 |
Relaxed LDP. Some recent works {{cite:0859b2d255b352afe1b770e6e94aabf85eaeec62}}, {{cite:8db2efdc0c7a4e0b98712ddd40b4d96b0baf2302}}, {{cite:46de8ac521e942fd4fda7dbc74757056e4bff46c}} relaxed the LDP by considering the input variants. For instance, ID-LDP {{cite:0859b2d255b352afe1b770e6e94aabf85eaeec62}} relaxes the LDP... | d | 22760c88a65d6db2ce8837ea3b6fee6c |
PTs liberating large amounts of energy stand out as the most promising candidates to produce detectable GW signals. If this energy originates from the vacuum energy of the meta-stable minimum, the PT is accompanied by a period of supercooling. This occurs when the meta-stable vacuum energy begins to dominate the energy... | i | bf93dfa87b9515b610b995d52b085908 |
We also evaluate kNN on an alternative neural network architecture, EfficientNet-B0 {{cite:01f595cf61e52367b4e23ec2a015c0d903deddb0}}. In Table REF , we report averaged evaluation metrics across datasets mentioned in Table REF and follow same experimental setting. We see that non-parametric kNN is largely effective an... | r | 39445966b2d61ced4daedc26f15f13c6 |
Figure REF shows our results for multiple regression. The adjusted {{formula:6d7ac9d9-4351-45d5-b251-450186a61427}} of the model for English is {{formula:eb200e49-9629-4e7e-97b3-bed71a9d0b48}} , with {{formula:b8c368a7-a1c1-4eab-a635-304eb731dbef}} , {{formula:6de44af8-8746-4d86-8150-4eb43b99d2c9}} ; mean regression ... | r | e13d7f41a943ccc0204b43090ba9fa3b |
The Lie symmetry method is the most sophisticated to solve the NPDEs because it is based on the concrete mathematical framework and also it is the one of the powerful method to find symmetries of partial differential equations. Lie symmetry method was developed by Sophus Lie (1842–1899) in the latter half of the ninete... | i | 2e724818126c7073865dd2e00fb18cd8 |
Defense.
Several countermeasures to model stealing attacks have been discussed in previous literature {{cite:4da69f7a2b1946f1cde2711fc20925e044593c17}}, {{cite:49eed56809a5401bc6ed8cded99bd358f9b5b223}}.
One straightforward countermeasure is injecting perturbations to the predicted posterior probability reported by the... | d | 0d826d39249ee76031c44aef0dbdf4c0 |
In addition to a non-linear or even non-convex function {{formula:e3364611-07e4-4c83-9df1-e5114ff0ef7b}} in the above practical applications, another common feature is that there often exist additional constraints in the decision-making process such as hard-constraint like safety or soft-constraint like cost. To this ... | i | d1b60475b30c350b07376437cf76d25c |
Last, from a more general standpoint on s, our general approach may seem close to the design of {{formula:0ccd62c4-8189-4c06-abd7-453b2fd34d7d}} -exponential families and even deformed exponential families – the knowledgeable reader will notice that our s technically look similar to escort distributions in the way we d... | d | 84680ffac085c58f62e70abdf1fd699e |
We compare the proposed approach with other various state-of-the-art methods. These methods include Gate Convolution (GC) {{cite:89ab6b02104df906f67cc72a0f1ca337b648def9}}, Edge Connect (EC) {{cite:7715216d648bfa334d702877cb192cf099188a27}}, Contextual Residual Aggregation (HiFill) {{cite:29d733185f13b3ed737cc9b2e2189f... | m | 97350cb24aee95616b931292b49c0b12 |
First, it has the proper analytical structure with the right cuts. In particular unitarity on the RC produces a
second Riemann sheet. Poles in this so-called unphysical sheet have a natural interpretation as dynamically generated
resonances. However poles in the first or physical sheet (ghosts) are not allowed and the... | m | f889953f46a71eed20031089d6403ba6 |
Given trained tasks followed by a series of new classes, the ultimate goal is to maximize the performance of captioning on the whole coming and previous tasks. The ContCap framework is presented in Fig. REF . At any time point {{formula:02db155b-07cb-4f22-adad-f1f711ecf007}} , the framework has performed a sequence of ... | m | 2ec15408acf3f504c10d5fefd980dd5c |
We conclude this paper by emphasizing that thermal and hydrodynamic processes, with or without viscosity, are multiscale phenomena where hierarchical energy transfers play a critical role {{cite:49a88b6437db91b60ddfbb3b78a95fd78c9cb480}}, {{cite:ceca1e892178d2632c5dbfda72b39c03dfd69bc5}}. Recently, {{cite:e2144436b74d1... | d | 546d9e7ee12d33dac899d5a28e03e1bd |
Recently, intelligent reflecting surfaces (IRSs), also termed reconfigurable intelligent surfaces (RISs), have attracted significant attention from both academia and industry {{cite:80bb3828ea412d8d237aadc78347803aa6c19ac1}}, {{cite:2058f085c88de5dd56c0d92dfc19bfa310c7d826}}, {{cite:dc84b567047213fc25ae6884f6e2e130c667... | i | 147f55f8e44bdb6b705b34c351db6595 |
For the first time in the literature, we analysed light curves of the system. The inclination ({{formula:dc190f3b-706f-4af2-abb6-1246aaba03d1}} ) of the system was found to be 69{{formula:f4ea4fb2-f9a8-460f-a508-7abf58a189df}} .71{{formula:a944b274-a3af-447b-ad08-fd8d90f46302}} 0{{formula:3875e726-abee-45fd-b075-69f3e0... | d | 4148a01c1aca876da13ebc89c962285d |
Theorem REF and Theorem REF show that local statistics near the edge {{formula:fd5df55b-7850-4b40-b6d4-1b5f02216aaa}} only depends on the number of blocks relative to the eigenvalue {{formula:05c324a5-ae44-406b-b919-30fc3f8f6f33}} of the added perturbation matrix {{formula:71013f2b-3152-47ab-b749-0d2d1db1d3e1}} . T... | r | 0118ec108dc6af679f88104f45ffe772 |
Although, p-dispersion is mentioned to have relevant applications for MOO {{cite:a1888428b3af83f5736c30d198c0900e486f6e8b}}, {{cite:829a97418375d160749e6641dc62c33b9efe0ab0}}, no specific studies concerned the p-dispersion in a PF to the best of our knowledge.
We note that an affine 2d PF is a line in {{formula:e94ee63... | r | a5dd77cdf4dd441c952bc0e83282a941 |
We generate the flat-fading channel using the SOS method with {{formula:61b043b3-afa6-46c8-b8cb-b65a27fa8317}} . The sampling period {{formula:d9a9f9d5-01b5-4aa1-af3a-4af9b52a86d7}} is set blackto 1 ms with a maximum Doppler spread {{formula:1948fc70-5048-4433-92be-3809cff86cca}} of 100 Hz. The ML-based predictors ar... | r | 80bdf619d6830f0286dd4597e30160a4 |
Automatic landmark localization is an important step in many medical image analysis methods, such image as segmentation {{cite:1d8980f589b0dc12c21e3bf8bd6232bd3c04c7cc}} and image registration {{cite:7bc66a51b37950e450fc2537d1c9a24832d07123}}, {{cite:21b0eeb23b3e8cb4780b432f5d669cde4cb35b09}}. An erroneous landmark pre... | i | 37529d05547f3f8799373d9bfb2a8e75 |
In this section, the results are computed using the proposed method and compared with the state-of-the-art eye blood vessel segmentation methods both quantitatively and qualitatively. Table REF shows a quantitative comparison between the proposed method and the state-of-the art segmentation methods: FCN{{cite:38d344cf... | r | 379dec146b6221bc05f7959515e452bb |
Current cosmological acceleration is an overwhelming characteristic of
our universe, driving the expansion rate and shutting down the growth of
large scale structure. Yet in seeking its origin, physics explanations
almost invariably sweep under the rug the elephant in the room: the
original cosmological constant proble... | i | 7911ef3ef0453d22d34de53d10931643 |
Given that the spread of stations is non-uniform, traditional convolutional methods do not work. As a result, this paper employs graph convolution to add context {{cite:0b508f4aa4c7797a00c6ac3620f5f1f4e7688f8f}}.
Specifically, this paper employs a form of graph convolutional networks similar to GraphSage.
Specifically,... | m | 247508c07487de49f5cd4dbdac3a1cdf |
t-SNE.
t-distributed stochastic neighbour embedding is a nonlinear dimensionality reduction method for visualisation that maps similar high-dimensional objects onto nearby points in a 2D projection space, whilst mapping dissimilar objects to distant points in this space with high probability {{cite:048459a095e58c2740d6... | m | 201056c91dc310346933823afcadc7e4 |
Spectral methods are known for their excellent convergence properties
{{cite:9ce6d61b5f062f019527b5c4a4c64922b88f3844}}. If the solution of the problem is analytic,
the error decreases faster than any negative power of the discretization size.
However, in their most straightforward implementation, spectral methods suff... | m | 837828d30d26e4431f270cecfe999536 |
Methods used for comparisons. We compare GPR-GNN with 6 baseline models: MLP, GCN {{cite:0a302a79d9ec94031971b90fcaec47c4b22a3b72}}, GAT {{cite:e30a553b9f18a83102dd40eda6372b598a154804}}, JK-Net {{cite:8e97451d1aea8632fb21bc8047ed476ffccd115c}}, GCN-Cheby {{cite:147689c2611386df46dc58b7f7f5b5738441852c}}, APPNP {{cite:... | r | 753493cdaf44255bea4e723c45262390 |
The ContrastiveCNN-JL outperforms both the baseline and the ContrastiveCNN in every trial. This implies that the information gained by combining the traditional loss term with the contrastive loss helps learning a more meaningful latent space representation.
Latent space analysis
T-SNE plots
T-SNE visualizations of the... | r | baabf0328cde635ec320163a289f4c32 |
We introduce the SuMe dataset, the first dataset towards summarizing biomedical mechanisms and the underlying relations between entities. The dataset contains 22K mechanism summarization instances collected semi-automatically, an evaluation partition of 125 instances that were corrected by domain experts. We also crea... | i | a1ab92ff9abce64cb5686011e5505b20 |
All parametric inputs are taken from PDG {{cite:50dba2fc14cdd4f49aebc6da4120984b9988fba9}}. In
particular, as input for the top-quark mass we use the
{{formula:be4d1546-ad79-4bed-b145-d08e8ba3d60f}} mass {{formula:5aeabe07-00d5-4e11-9c71-4126ebc5e544}} GeV, obtained by
converting the pole mass {{formula:cc9b2e52-5178-... | d | 56143b11c4b948b264695416e58575e8 |
The water wave problem refers to the motion of a free surface over a body of water of finite of infinite depth.
Its classical formulation usually assumes that the fluid is inviscid and irrotational. It is well known since the seminal work of {{cite:cb1b0fe463a71f74bd82ba72a62ca2d2e12c5825}}
that, in this setting, the w... | i | f6f2ef4b5a4c5586e30737d871f6601e |
The expression of relativistic
Bernoulli parameter ({{formula:9c7d0433-4038-4b52-850f-95f07537c7ac}} ) for adiabatic and isentropic flow is not conserved along the streamline of a radiatively driven flow or across the shock, but {{formula:5b815dfa-2af6-4a5b-9cf1-949c6ab9d780}} is a constant of motion. This gives us a ... | d | 9cab7785c44f6c39bc059509ce54c272 |
Alternatively, we can take a different Monte Carlo approach to
Equation REF and sample from {{formula:5ec9daff-6cfc-4769-b001-ec8fb4799e0f}} by simulating datasets.
For each posterior sample of the parameter values (conditional on all the data
under study) we can simply simulate a new dataset based on those parameter... | m | f16129b974cea6902032752e9beb9e8d |
In this work, we have only considered three subpopulations: the galactic field
and cluster binaries, as well as high-redshift Pop III binaries. As mentioned above, many other channels have been proposed and can plausibly contribute a seizable fraction of the total rate.
Our analysis can be trivially extended to include... | d | 5c9bf7b8e291bd993d4cd55c51250375 |
Pretraining models on massive datasets followed by finetuning towards specific downstream tasks is commonplace in natural language processing and computer vision approaches. The uptake of similar approaches for chemistry is lagging due to the limited number of large datasets and long training times involved. Training a... | i | a4dc830cd6dfae1c8a9b1663894d8edf |
Contrastive-based method {{cite:d5af882473d4f47cf68c0018114627801e04c508}}: As our closest work, this approach acquires discriminative representation from unlabeled images via two global and local contrastive learning.
Global contrastive learning pre-trains the encoder of the segmentation network to distinguish the glo... | m | 63b2e8c72d5577fbfdcfeea60897ef77 |
Our mathematical characterization of the Rawls classifier shows that it uniformly applies a threshold to a certain ideal score of features, whose description requires the underlying data distribution explicitly. We give a description of the Rawls classifier as a threshold on an ideal score function given by a convex co... | r | 817db02f80f5676bccf595fe4129a589 |
Table REF shows the results on ImageNet, including top-1 and top-5 classification errors on the test set, number of weight parameters (millions), and search costs (GPU days). Following {{cite:bdb5d383ec26f07b16460fedd41a27d401e9fe9d}}, we take the architecture searched by LeaSE-R18-DARTS-2nd on CIFAR-10 and evaluate i... | r | 5646e8724a97beeff9100f6eebbf054f |
PGExplainer. In contrast to GNNExplainer, PGExplainer {{cite:9a031cf3aec1a70b40a6f9c68d0154f5b8f8e4fa}} generates explanation only on the graph structure. The direct optimization of the mutual information framework in Eqn. REF is intractable {{cite:afdd322e3bd64eeb718fa2c42c8723f26bb8b155}}, {{cite:9a031cf3aec1a70b40a... | m | cd09b0e5764fc7c5d524e2550c156a46 |
There have been numerous attempts to solve the Hubble tension, focusing on both expansion epochs in question {{cite:482f36b3deddd1b1062dec6f61c9202332972d22}}. Possible late-time resolutions include a vacuum phase transition {{cite:f640925f2214ee3f0b310b69eac2049b4948222c}}, {{cite:a62bcb1967b2bbac1aee06dbbe1e9eef0db83... | i | 374ce30b826cd79bf8b22e9ae3030414 |
Our detailed evaluation in Table III, IV and V summarizes the state-of-the-art in object detection for autonomous driving in adverse weather conditions. From our results we conclude that the detectors which perform good on the KITTI benchmark {{cite:f6e8bb8579bfb82daf1c7cb7277f23a5094d4786}}, can fail in such adverse w... | d | 095b9ef2fceae42a55c385ea55d28690 |
Our technique is also applicable to observables on separate quantum systems, e.g., {{formula:b6e06e6a-b407-4b3a-831d-21f770135521}} is measured on a first particle and {{formula:a346c87d-94ef-4470-8f88-bf73dea44c45}} is measured on a second particle. The standard procedure for weak measurement would couple {{formula:... | d | c9e55ac8b47e85b1d78252d5a1861479 |
Finally, see {{cite:656d5e570499d1afe825c0e729c91ef06520ac69}}, {{cite:c46e9e525a537307f5172108f696eb4a66d80e7b}}, {{cite:562fc13d408fa6590c681e8f69741280f6054630}} for a replica exchange MCMC technique that considers two {{formula:06924f82-3d80-448c-8125-b9959580481a}} particles that follow Langevin dynamics with two... | m | b0ba0cba8e1f40634d350e7910fd7936 |
The EM strategy based on symmetry projection works as follows. If a quantum state {{formula:a61a36be-58af-4377-9a59-8d1e4ccd1bc0}}
(ground or response state) resides in a subspace with spatial or spin symmetry, a projector {{formula:de39925d-0a69-4eb6-acb0-92c2625a0173}}
can be associated with this subspace such that... | m | c8f277ae9f60feb658b888c1d80fddff |
The benefit of preserving pretrained features.
Our work adds to growing evidence that lightweight fine-tuning, where only a small part of a pretrained model are updated, performs better under distribution shifts—and we give a theoretical grounding to why this might be the case.
Zero-shot language prompting in vision {{... | d | f90dd334661a968e58ebebcb38e8e7ab |
To confirm the effectiveness of our method across different data sizes,
we experimented on 10 language directions, including IWSLT14 En{{formula:a0851472-f6e5-4e17-b33f-9bbcfb5da95e}} De, WMT16 En{{formula:c84d3175-a96b-4775-9317-a5888aab9ccb}} Ro, IWSLT21 En{{formula:f8bd4612-cae2-4f2e-b5bc-3cdd04bf46a0}} Sw, WMT14 En... | r | fac5f76051b9c1c07ac92cbf9d0fe93d |
Synthetic molecular machines are one of the frontiers of nanotechnology {{cite:b16336c337462cc69bda574d496ab0b455cedd59}}, {{cite:64401bb9a5596653f81de9f6583a5fb2e6d5da20}}, {{cite:e765dd11d1a253fb232096836eef9ebfb452fc1f}}, {{cite:8f84d6b732f64ee0cbf98b3a59b63166d8b5b161}}. Enabled by the idea of a quantum robot we ca... | d | 6c9af284606af0db1726ab2092e4d3b9 |
We now discuss the relation between our work and the existing literature. We start with a brief survey of the physics literature. The first indication that a space symmetry can enrich the topological landscape of a material appeared in {{cite:adca86a83dafd34fc76d5bb7112ad4422e422555}}. The first indication that a space... | i | ee068a83586fddc8b607286c1ff27c6f |
Traditional outlier filtering strategies can be broadly classified into two categories, namely the individual-based and group-based {{cite:05de854a1575b38fea32caffaee397572f01de2f}}. The individual-based approaches, such as ratio test {{cite:dcc025dbd3cbe4b996f0256f2e056933ea4bd5d8}} and reciprocal check {{cite:9504a41... | i | b8138b247d3455a9490878094cad430b |
In this section we present evidence that in the case of {{formula:75e76d62-6b36-40ee-9697-a57dd3cafc83}} discussed in the previous section and for a single-site operator which we introduce below, K-complexity indeed saturates at values below {{formula:78dfd49a-cf14-4170-8ae9-c38ea81743b9}} , which is the expected satu... | r | 11ba38a9e618a76179ef8e95c274e5f1 |
All simulations are performed using an intertwined application of Metropolis {{cite:e590532c955925a1badbd0505b42c3f75fb2918f}}, {{cite:4bfcfc21cd7850d26a25229e10bcbc243a61a97f}}, {{cite:2e22e4bc00f82027f6796659e539da1305f5be05}} and over-relaxation steps {{cite:0ef67b4297d808fa363401f503a31596d173e374}}, {{cite:123012d... | m | f8ed70e7331e557b585f61a14b05ad95 |
On the contrary in the AFM phase, due to the simultaneous presence of an odd number of spins, periodic boundary conditions, and antiferromagnetic interactions, the system presents a topological frustration in which, due to the absence of an energy gap, the quasi-adiabatic continuation cannot be straightforwardly used.
... | r | 565a3c4b6d9b36f094089eee98ca00e2 |
where {{formula:73a772b6-02f8-4788-bbb2-527086fe3e8e}} is the dimensionality of the Hilbert spaces of the component systems. We use the shorthand notation of {{formula:a06a7292-5343-4f44-8cb9-6f4898f3c8d6}} . The effect of {{formula:61df7136-867c-4aa8-8feb-7a97d2190e09}} on a product state is {{formula:ce6b1a6f-e7d0-... | m | d2b8b8aaff0c7ba62957582b42eb7297 |
FBNetV2 {{cite:955ab40e115d1dab24fca944144737d639213f01}}: As shown in the paper, the authors searched the FBNetV2-L1 model ({{formula:7f686369-6bf0-43dc-ae5a-7b04d705641d}} M FLOPs) with total {{formula:dba46d93-8530-434e-adab-ee83792e1353}} k GPU hours. We linearly expand the number by FLOPs and obtain {{formula:c61c... | m | 575d76f2e28b6a0aa6fd83049a24237a |
The field of artificial intelligence (AI) advanced significantly in the previous decade due to developments in deep learning {{cite:d6d663b64710262e89cad60fdfd1d0e0b9f55011}}. In the early years, deep learning methods showed stellar performance for supervised learning where each data sample is coupled with ground truth... | i | 23a95edcea706fb4479cc7583b77d521 |
for all {{formula:fe281752-9afb-46d4-b6c4-8191d712c92e}} {{cite:637f5cf1ae1ff66969c75f46e651d5496cd9758c}}. This means that Algorithm REF achieves an {{formula:005eeeb6-b5b9-44a2-b638-575abc3973db}} rate of convergence in function values to the optimal value.
| m | f9fc6522b6f9eb70c43f329a76697832 |
correspond to the identical meaning as earlier. The increment of the
resonant widths is due to the broadening of the energy levels of the
wire including the ring, where the contribution comes from the imaginary
parts of the two self-energies {{cite:dc8a7e57bf126a495c5275b1ac00c11dfdb4aa62}}.
| r | 402d8a5f4666d28d6cd4dbf5df1cd461 |
Finally, it is shown that the basic formulation from {{cite:713af0d6cfe912f59e2c3371bcd85b79beefdc98}} can lead to asymptotically inconsistent calibration {{cite:2459d0b1d3d9e5bdc56fc14bd7b116f53c1490b4}}. To improve the Bayesian calibration, we could follow in the future the {{formula:2a7ef035-a5d7-4e8e-8c37-9e916dd71... | d | bc4e076e2a0b851f27c5ba7e11757e36 |
Only Q2 has been resolved till now in the positive {{cite:adae0b94bd28df0514bc181b6fe9a8945e2a1c53}} as can be observed from Table REF . At its core, Q1 asks if a query oracle can step up, i.e., if it can estimate a structure that is of a higher order than what the oracle was designed for. The framing of Q1 seems that ... | d | abfa58f58a346c38fe1c4697f2e1ab1a |
Recently, successful analysis of the correlation functions of EMT
operators in lattice numerical simulations has become possible
thanks to the small-flow time expansion (SF{{formula:00747541-cb39-4ee7-b73b-38fbec32b6b9}} X) method {{cite:a1d1444edee0502ac66f7c964aaeb35c12dffcc8}}, {{cite:c0b68f7282a34b8a1fc4c0ed699db16... | i | 4adadae8e639ef883de050670eb95621 |
Non-Hermiticity has been successfully engineered into several optical lattices, acoustic systems and topoelectrical circuits {{cite:b50b892742436ca55337cc1b81db1aa51dfe655c}}, {{cite:67dda9de639cd46f8f3ed32123fb3119ede95c46}}, {{cite:718a89de628f8e4eb49ebe73c3dfd38d7e7250ad}}, {{cite:33332cc7de5f5c6a50f29e7c79e0a7a232c... | d | e934e9ce41bf89d0bd7ae142ddd6317e |
Occlusion {{cite:d8bfa62231bcd831e04c92f634c448500809efda}} is a perturbation-based method that involves replacing portions of an image with a block of a given baseline value (e.g. 0), and computing the difference in output. A heatmap is formed using the difference between the output probability attributed to the origi... | m | f2f5fcb790b7adf9ffc8f168976c8517 |
Figure REF shows the variation of sheet resistance (R{{formula:254077a9-cf4f-4613-bbea-901a7e32ebb9}} ) with temperature for PS (S1, S2) thin films in various magnetic fields perpendicular to the film. We observe non-metallic behaviour for our PS thin films which is in contrast to the metallic behavior reported for th... | r | 6396e44b8a0a0c64ae2cfd85e319fba8 |
where the expectation is over the set {{formula:02898d85-219d-4310-9e85-d8a6f42ca6b4}} of configurations of points (that is, for us {{formula:9d406bd6-db05-46a9-aa06-d1fac4bc4eee}} ) and {{formula:7aa41cc5-0e5c-426c-819f-183e0166d94e}} should be viewed as a parameter of the model and, in general, {{formula:3c1882df-7... | r | dae3e0e5fed8e193afc3384a2bb750de |
We assume a flat {{formula:71c63f90-b126-4c36-975b-2764a4caa7bb}} CDM model, based on general relativity and perturbed up to second order, in which the matter is pressure-free and irrotational on perturbative scales. Generalisations to allow dynamical dark energy and relativistic modified gravity are straightforward, b... | i | c60cbef6fb183299055e68aab05aac7a |
Let us review the matrix result of the RTLS, which was first derived by Golub, Hessen and O'Leary in 1999.
{{cite:176d7cc00ea1bb184a3c29157f0f04e9da841c73}}
For the RTLS problem, if the constraint is active, the solution {{formula:a7aa93ff-b2d2-428f-9961-9b1280d9be60}} satisfies
{{formula:5d0d8884-bd00-49f1-877b-ed4... | m | ed27815bc06d53ea4d9ab5049c3ca551 |
We managed to solve exactly both equations (REF ) and (REF ). One observes from obtained analytical expressions of the eigenvalues of these second-order differential equations, the behavior of both of them is drastically different. First of all, the energy spectrum (REF ) corresponding to the model with only one infini... | d | f9780b787dd1c941d643f040e9884088 |
In contrast to forward GVFs defined based on predictive knowledge, the backward GVF represents retrospective knowledge, which captures the accumulation of signals from the past to the present time {{cite:74b88c018435e3e8e16f909a79114a63091e2379}}. Although the concept of the backward GVF has not been formally proposed ... | i | 6ffbb3e4e0a9943a3c79e114b9c356bc |
As pointed most of definitions of fractional derivative use the integral form. In contrast, R. Khalil introduced a limit based definition of fraction derivative {{cite:c502e6f3bf3f08a835e2d3f6a236cc99f086f24d}} in {{formula:bbab90fb-b02b-42c8-a1da-b61e5db6c708}} , calling it as conformable fraction derivative in analog... | i | b7c6e016d434332f9e2065ce6d39dba7 |
Quantum field theory can be used to restrict the possible creation and annihilation operators to those that satisfy commutation or anti-commutation relations for particles with integer or half-integer spin respectively; see, for example, {{cite:26d22b363f1f5d383405bafe44af6a990246ac0b}}. According to the spin-statistic... | i | 8ac0d6749074f12a406d42ae409a2b41 |
Other interesting aspects which we have not experimented with at this point, but which are in our plans for follow-up work include (a) to confirm the current results or their variability on different network architectures, but more importantly in relation to the capacity of the network, e.g. with lottery ticket {{cite:... | d | 2f7245ba8829f48723711581490ea2da |
To fill this gap, several lightweight crowd counting models were proposed in recent years {{cite:743206b131997c877a56389e4e83690dcfd08cf8}}, {{cite:ac1b37d4aeeff1469fb1147a434ff5b76080e2c8}}, {{cite:e5af98155b2650427f59c39e535ab0318dc6c56a}}, {{cite:17a8c44d50589e63961bb2352eab75eeaecc2805}}, {{cite:9225b1e37f88fae623d... | i | 21789263134d65b296b0764616438edc |
Tongue image encoder.
The task of the tongue image encoder is to produce features which are close to the target 3D features {{formula:707306f4-d5bf-4e71-b31d-6eaaa8c98fed}} of the AE. To make the encoder robust to various camera angles or illuminations, we employ a rendering framework where we utilize the textured ra... | m | 3e63fc2944b8d9f83eb25360d5574395 |
[leftmargin=1.5em]
metapath2vec {{cite:6462b6182f4d8d48410d08df1ce009035abcdb26}}: A heterogeneous graph embedding method that performs a random walk on meta-paths and utilizes skip-gram to generate embedding. This model relies on a single user-specified meta-path, so we test all meta-paths separately and report the be... | m | acf7e095698af34590e0fd5c9f57e6f1 |
Intriguingly, in spite of the small coupling, it may be possible to test such a scenario with direct detection experiments, provided the mediator (the so-called dark photon) is sufficiently light, such that scattering cross sections are enhanced {{cite:18ce0fa497ec2a4b3c3ccb3f3bdcdf606e7b801c}}, {{cite:a50e3d6b2dccdae7... | i | 2c2e1e7adbbf2d9c0a66de15400594fb |
Currently, there tends to be an all or nothing approach to transfer
learning. Either transferring all layers improves performance or it
doesn't and possibly decreases performance (negative transfer). The
same approach is often taken to freezing layers, either layers are
frozen or they are fine-tuned at the same learnin... | d | 746438069a12fb496908f513093291a2 |
This can be verified from {{cite:b9ba1932579289bfea66275e50e095c6aaeb71db}}.
{{formula:68cdc88e-d325-4ea7-978c-ff483040fcf5}}
Lemma 4.6
Let {{formula:3139ea72-f169-47cb-9dc9-8fb778634b80}} be a positive integer. Then
{{formula:c0ed2dd7-3690-4e2d-a6c6-d28281d7fcc5}}
provided {{formula:85d3fb74-7888-42d0-8978-7c5a2da... | r | fc4b6f238673afd272dc996d50444597 |
If the ALP has flavor universal couplings or if the strength of ALP couplings to fermions is at least comparable across several flavors including electrons, then the red giants {{cite:0ed37bda388019aa5c81e5442e2adc37c1fea6ae}}, {{cite:54ab7bbc7aa8867e67c1abea9d9d8aa51d1c2c24}} and XENON1T {{cite:d7d681ef524cfad87b39ccf... | r | ad01ef046cff416d7c3ac9c5cdcab755 |
Recently, there have been a few works {{cite:e885ab681536ce3eb71257ee5c28368a3756728a}}, {{cite:05c4773489bb7be15605e43b61d7aba6ae255257}}, {{cite:27abe1b60a3a14ebb02b7d8f8ad55bc5337970a3}}, {{cite:97d7ff362a93f5699190059e05ded745db00724b}}, {{cite:d991daa1e59e6c7b32e8f8f6b8ba52549897472f}}, {{cite:ea41eefded575ab623ea... | i | 415f5b42ece3fca72da65e7e2f6a10d7 |
The {{formula:7daf5519-de0d-40a4-81a9-481671387d43}} is expanded to order {{formula:9aaa2c99-d3db-4734-9c34-98f21551a264}} or order {{formula:54639ca9-be77-47e7-86d3-be808b0f8c74}} with {{formula:835195fc-e35d-47e8-824c-9be293ae3878}} {{cite:67fdabf0fff55610251991cb7de1275d6446e8e7}}.
The {{formula:9b04e594-b54e-... | r | d9a508e6cea19453e48646d9c47323e3 |
The separation between generated OOD examples and IND examples is visible in t-SNE {{cite:d1f3f81d5177beb1cb83de7e5e32d9771f2401fd}} visualization as well. Figure REF shows the t-SNE visualization of IND and generated OOD data.
We can notice that generated data create recognizable clusters close to IND data but do not... | r | 6194146b4b2b827c6348c1dd4eb7f1db |
While SABR can be instantiated with any certified training method, we chose Box propagation (DiffAI {{cite:7d4b6bb422b32694553f07e2dce4115afde30bfa}} or IBP {{cite:458e1407ddfa42ef533c01f72a8043f470e1a680}}) to obtain well-behaved optimization problems {{cite:3264ca9433f7b23b4444e9b2a4ee44a703584857}}.
| m | c6b002ebfdd85b41077f9aa7dcb0f236 |
We now perform a Monte Carlo Markov Chain (MCMC) analyses, confronting these two DCDM models with recent cosmological observations.
To do so, we make use of the MontePython-v3 code {{cite:1f2424485c4ff4dc515c9911aaa2f5ed3ed5b4dc}} interfaced with our modified CLASS version.
We perform various analyses from a combinatio... | m | bc1a964a6fb8fde1e670186f14d37046 |
Recovering 3D structures based on geometric constraints is an optional method to estimate depth information.
This kind of methods relies on consecutive frames taken by one camera or stereo matching based on binocular camera.
For the former, structure from motion (SfM) {{cite:3be7da85c963197dc55c69905fd120cca218e863}} i... | m | 3db7fe2e2c4b8b87c43d3707ea6de044 |
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