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With the above settings, the solution {{formula:8f93faef-c1e4-49d7-a5ab-4295961696d0}} is given in terms of Gauss hypergeometric series as {{cite:7dceb6bea89239758cd6c070c8559c6c5ce5e9ba}}
{{formula:117b2a1d-1ef0-48fd-87da-c7645e8079ed}}
| m | be4550054f823e7cddfcd4a508e69a20 |
In this section, we first examine the potential reasons of improvement by comparing the learnt representations from baselines models (i.e., vanilla PLTMs and WhiteningBERT) and our proposed SoftDecay through quantitative evaluation results and the visualisation results (See in §REF . and §REF ). We then discuss a compa... | r | a422a351df29ad73ece125f21d5effca |
Our method is not specific to human poses and can be applied to any pose.
To demonstrate that our method generalizes, we apply it to the ApolloCar3D
dataset {{cite:399114d81f9ac7ac8cb3fb414f19fb13f07e6f5b}},
where every car instance is annotated with up to 66 keypoints.
Our method achieves an average
precision (AP) of ... | r | 2febac504ece8043ee61d5f80cbdd04a |
Next, we prove the equivalency of the Equations (REF ) and (REF ). To do this, we use the well-known integration by parts formula for operator-valued functions {{cite:59eefdeb418b48ab503ddb8d45755eca19145a88}}:
{{formula:6ca279e7-c378-4fb0-873c-43dd0504f09f}}
| r | 041ab77ea8d5d9b1d3420bd0874fc225 |
Therefore, the MC effect plays an important role to rebuild the structure, luminosity, and components of MCNDAFs. Moreover, although the NDAF is one of the popular central engine model of GRBs, only a small fraction of neutrinos can annihilate in the outside space of the disc to power GRBs and other following radiation... | d | 7a603a885bd2d80a7330f11b467eaf16 |
GPR assigns a prior probability to every possible function, where higher probabilities are given to functions that the algorithm considers to be more likely, for example, because they are smoother than other functions. For our implementation, we make use of the standard radial basis kernel (RBF) as detailed in {{cite:1... | m | 3714a99181dd795c5d11c68df0412be2 |
The size of the tiles should be smaller than the size of the vortex (depends on the coherence length {{formula:2de6e083-25d8-4b13-924a-67deb71bf850}} ), otherwise we cannot finely generate and control the pinning and moving of the vortices, which will lead to inevitable failure of the braiding operations described abo... | d | 35e119ed082203696ee3dbba7cc3ffa0 |
The minimum strongly connected spanning subgraph problem. is NP-complete{{cite:47dd77047d763635fee7e9d70a98f2cbb771be77}}. Note that a strongly biconnected graph has a strongly biconnected spanning subgraph with {{formula:4427431c-a6bc-427d-8985-56650d80e1c0}} edges if and only if it has a hamiltonian cycle. Therefore... | i | 7cd85454d92bce28a4b24740d151afbf |
In order to bypass the complexity and the cost of numerical simulations, analytical models have been developed for creating complete GW templates, from the time the signal enters the detector's band, continuing with the binary black hole (BBH) collision and finishing with the ringdown.
In those approximations, increasi... | i | 6bfd56a97060a6867ea32894fce0af5b |
Titan, the biggest moon of Saturn is one of the most complex moon of the Solar System, with dense atmosphere, hydrocarbon cycle, and water-ice crust. Titan has been targeted by two major space missions: Voyager I (1980) and Cassini-Huygens (2004-2017), and is still the subject of many studies. Lakes and seas of liquid ... | i | d622ecee9210b3b1ca43e9e975862c96 |
Notation 5.1
We use the Bachmann-Landau notation (“Big O”, “Little O”, and “{{formula:d3208d91-af66-4e68-849a-448e2f3cd45d}} ”) to describe the asymptotic growth of functions defined on an infinite set of natural numbers; see e.g. {{cite:cccc3d3e534caac6b1662f4e3310e71293853dd9}}. We also denote by {{formula:d013765d-... | r | b2b45a630675b97a0996c0a0d68fb5fd |
Based on PointNet {{cite:120454990e01acb33e16c326251b84ef7ffebab2}}, PointNetVLAD {{cite:2ffab9ac82642ef9e6f763f51b1f37b5d1ebcada}} extracted features for all the input points, then introduced the NetVLAD module to generate a global descriptor.
LPD-Net {{cite:23bd938abbe77edc88a20e40da5ea7250bc1236f}} further concatena... | m | f743d182877c01c63c2875de697fd8d6 |
We do not here prove the existence of the effective field theory on AdS{{formula:2a9aa4af-d472-48af-a913-6dae243e7a53}} S{{formula:a5758b91-0a0e-4248-9c15-3c7a3100ba11}} , but justify it a posteriori by showing that it reproduces all known results for four-point correlators of single trace {{formula:680025e1-f4f0-4eaa-... | i | 0eb9d86543c68014a971eab256cbb1fc |
The outset is the high-precision CD-Bonn {{formula:caf92736-b1d6-4893-a9a4-13ee7e97225b}} potential
{{cite:dfd24fc914b3347562c08bf4fa815101facbca30}}, whose repulsive high-momentum components are
renormalized using the {{formula:9c707e5f-773f-4633-b1f8-82b3b6fb8800}} procedure {{cite:36da3554507403a943d854fe1a9462cc5... | i | 3f88c66d5f4249c1b787d18a48e7c890 |
Learning fair representations is a pre-processing technique that encodes the data while obfuscates the information about protected groups {{cite:1437a60b6cd912da533e49f693723ebb2a66abd5}}. The method acts like a clustering model, building prototypes based on the requirement that one element from a protected group to be... | m | 0cdea59aa7ad3190b36c688deec19585 |
For post data collection analysis we simulate collider effects using CheckMate {{cite:a9c024c1f23763268a4d4260a207c105cd889c5b}}. This software combines a number of subsidiary packages to simulate the events in a collider and exclude any given model to a 95% confidence level. We chose to use {{formula:b0a26dc9-c500-4e1... | m | a0d390dd68e467643a9ea5c6c0899401 |
Permutations are often used as building blocks in combinatorial algorithms
operating on more complex objects. This brings the need for being able to efficiently operate on permutations.
One of the most fundamental operations is rearranging an array {{formula:cd6c4c81-c765-4392-ba28-13c27549a66d}} according to a permut... | i | 20007bcff62546c741397d17472bb535 |
The formalism of Weil's height machine yields a natural equivalence relation on height functions.
If {{formula:1c2d5c54-f2f2-4498-945a-4131f7d9ca1b}} and {{formula:68efbf07-2f03-4b8e-85fe-2fe7bb2d9866}} are projective embeddings with {{formula:a2cebfb7-1400-451a-9ec3-03ed74fc47f6}} , then the ratio {{formula:3d1510cc... | i | 7db184f8e5b2f7876279f5506cc17055 |
Fractional imputation has been proposed as a tool for frequentist imputation, as an alternative to multiple imputation. Multiple imputation using Rubin's formula can be biased when the model is uncongenial or the point estimator is not self-efficient {{cite:9d3f344f60d26c0cf517fe37612e8c321427cf67}}, {{cite:ef335331b66... | d | 8198631768c164f3ce77a4d34cc88511 |
Given the observation that using character n-gram was less useful for English than some other languages, it's not expected that the scores will follow a similar trend for all languages {{cite:5eeb8fed35c13c5b51fb6de740cb3131fcaa8e83}}.
In addition, accuracy falls for morphologically complex languages, like German, maki... | r | c78aa0fffad032ed058cddbe45f5799a |
Additionally, by relying on tightness arguments for couplings (using for instance {{cite:f3fe9613c465ae70ba1501f49bf8432ddecfbfb5}}), one can prove that the mapping
{{formula:0dc160c1-a67a-43c4-be97-0fd7aa454112}}
| r | 1056211b5aab8f666eb2fd9034cf816c |
Approaches like the SuMa++ {{cite:b409f447f572f3d076f3083420980bca3647b5a8}} have a semantic step, with point-wise labels provided by RangeNet++ {{cite:dc37123cc1d29940e1143f8e6e6539393e86f9dc}}, to filter out the pixels of dynamic objects and add semantic constraints to the scan registration. In doing so, it outperfor... | m | 91dd5ca1d4a438896d24a5487b20d988 |
The results on PASCAL-{{formula:1e7f621a-9067-4022-83a4-4bdf26f4cc93}} for 1-shot/5-shot case with ResNet-50/ResNet-101 are shown in Table REF .
Overall, our method achieves a new state-of-the-art performance for all cases, with significant improvements over other compared methods.
Specifically, our method surpasses t... | r | b2c61c7659a35a8bafa3bc9ceb683c46 |
A critical issue in this case is the movement of {{formula:31268b66-3069-4479-a4db-fddc300c0d9c}} in time due to the ship speed, which results in a mismatch between {{formula:2b26b475-fdc2-4b17-8a41-59c1cabacdc7}} and the computational region {{formula:88e095af-17e8-4e1a-9a99-84ad9f8e7f4e}} at each {{formula:5bae618... | r | be44997f494084c641ca935b898f2c3f |
However, the performance most of these novel methods are not investigated in this paper. In this article, we present a practical comparison between existing and widely used commercial and open-source applications.
Those tools are preferred, which used to solve electromagnetic problems and have a user-friendly interface... | i | cad64704c537db0678b11ab8cd3187bd |
This subsection validates whether our proposed frequency opeartions are robust to different loss functions. Three different loss functions (vanilla GAN {{cite:b326d24f1084a300cc6b82024b49c26283d5890a}}, LSGAN {{cite:a08c4dd5ce58717dd8f89fe13820858a34f601f6}}, hinge GAN {{cite:2d4fb32e27a10e46d6e7c184857f9afb36eea61a}})... | r | f1e8827447f601b87873c3ae63143f52 |
CO-SNE can be used to visualize hyperbolic datapoints in a two-dimensional hyperbolic space while maintaining the local similarities and hierarchical structure. CO-SNE still suffers from the same weaknesses as t-SNE. In particular, as a general method for dimensionality reduction, the curse of intrinsic dimensionality ... | d | 3fb9ecc522bab0e3dd3aa0724e28037b |
The proposed model builds on the work of {{cite:876bbd744aa6a3e6a019bd3d3ef6db7a52d7140a}} and {{cite:7b6369a42627357111e4fc58b0798f6aaaaea349}}. We modify their Transformer model by restricting specific attentions. Similar to {{cite:876bbd744aa6a3e6a019bd3d3ef6db7a52d7140a}}, each problem instance {{formula:b13f0995-f... | m | e54cb2128f2604f497178ed984ec02d1 |
Year 2022 marks the 110th birth anniversary of Oleksandr (a.k.a. A.S.) Davydov, an outstanding physicist, known for his
seminal contributions in the fields of solid state theory, nuclear physics and biophysics, for
many years he served as a director of the Bogolyubov Institute for Theoretical Physics in Kyiv. The autho... | i | bd8a394a2cf2b30a14596d0728826481 |
ATL: We use the official implementationhttps://github.com/zhangks98/eeg-adapt of ATL {{cite:4cc7a8b580109bc252e263cdcd7d018f942e568c}}. The method employs the Deep4Net {{cite:dc2570bcccbf41fc4de69a0d7323ca8eb131238f}} model architecture, as defined in braindecodehttps://github.com/braindecode/braindecode toolbox. We pe... | m | 484c054ada2c1524e092ff57b048b393 |
Prior to some of these deep network architectures, efforts to reduce the computational cost often attempted to solve a reduced form of the equations of interest. Approaches like the Proper Orthogonal Decomposition (POD) {{cite:a9d5ad8b6544fe52074c678f9d95f8c90dc0cb99}}, {{cite:145ed842d1a65d3c305ad1bdce9723f70711ed6f}}... | i | 01804595cc1fcab8243eba4bfd460e0e |
Let us first introduce the definition of DGDP for distributed learning. In privacy literature, differential privacy (DP), first proposed in {{cite:1cd5991ec4eb78c5a00f6fe3d9dbea8a6f70d3cc}}, has been the most widely adopted definition of privacy tailored to statistical data analysis. Note that the {{formula:fad0d277-da... | i | 79babec8fb9bc9c336ecbdad3343c60b |
There are a range of other more complex approaches that could be applied to a problem of this structure: the identification of missing links between two distinct sets of documents that may be matched using similarity of content and a relatively sparse bipartite graph connecting the two sets of documents. These might in... | m | 090bd953d1d83c78cbf964838ac70432 |
We can also attempt a quantitative model comparison analysis via the Bayes information criterion {{cite:c5211c57d1e1a39c3ecdd34073924cfe7cc10577}}, {{cite:a6fee88b9dcfaac3b9ae75fcd2ad658bb60c8145}}, which is defined as
BIC{{formula:c42b1564-81d3-463d-96e7-3d14900ee9b6}} in terms of the maximum likelihood estimate {{fo... | r | 5d9bf47f1a07f4a9a94108938b2106f6 |
In what follows we study the frequency dependent velocity of dipolar particles (type-I) at different electric fields. A comparison of frequency dependent velocity profiles at three fields, with a stepwise increase (0.15 V/{{formula:06316e7a-fcd0-4b64-87b9-0ecbce446284}} m) from 1.56 to 1.85 V/{{formula:cb63e14c-aba5-49... | r | d7d62fb0a0b16358aa6ca0d50cd8e84d |
As we know, the well-known von Neumann trace inequality {{cite:b7f79558488b4da6e07dd8046ad052c7e8559a6b}} (see also {{cite:02cb37fc8a2bad6fdde2cf06347d96b1b69e7279}}), which bounds the inner product of two matrices via the inner product of their singular vectors, is the key inequality for the analysis of spectral funct... | i | 351495bc4e21961ebd7e9aeb23ff4bad |
The first theory we studied is the 2d Einstein-Hilbert gravity. This theory is purely topological and we found that it can be realized in the standard wedge holography setup, where we have two rigid Karch-Randall branes, as the two dimensional effective description of the bulk Einstein's gravity. Moreover, using the th... | d | bc4e077aac8aa4a6ec39466bc291ed36 |
We are interested in assessing the performance of different neuron models within the context of a Spiking Convolutional Neural Network (SCNN) trained with STDP. Since many factors could determine the outcome of the training, we begin by designing a simple experiment which involves the minor number of structural element... | m | 89bb089356ba75ddda7b9a22320c65fe |
In this work, we will use the latest CMB, BAO, SN, and {{formula:73591808-f775-48ed-bd6d-cc114890ad71}} data to search for sterile neutrinos. Since the influence of dark energy is important in this issue, we will not only assume a {{formula:f3bda755-25f0-41c9-a74c-60eb3ac9d963}} cold dark matter ({{formula:13568cdd-3... | i | 491abc0ca7f40777a9bc8b08ed25aa71 |
We used four methods to adjust for differences between the students in the two versions in order to estimate the causal ATE of dropping in-person lectures. These were multiple linear regression (MLR), stabilized inverse propensity weight (IPW) {{cite:94e9612f27ad94b009d8998da4e3d188d7316c0e}}, {{cite:809b75cf288b3c3224... | m | 22288bf16e1a5f4ba042caa350a204af |
We compare the proposed HF-OMP based hybrid-field channel estimation scheme with the existing far-field OMP based scheme {{cite:d5ef55e50868c775cdd9528c8662f2e3755b9169}} and the near-field OMP based scheme {{cite:290bd451503f4d9205880f3ff22349ee99b4cd8e}}. It is noted that since the transform matrices are generated on... | r | f824b2d887400e5318463df96aeeb08b |
Optimization-based online methods achieve satisfactory results, but there are still some limitations.
One major drawback is the slow computational speed and high cost because of the online iterative optimization.
To address this issue, several works introduce a feed-forward network to mimic the optimization objective o... | m | 271ab51e42dfcf04baa6145a54939d35 |
It is not straight forward to compare this performance with ANI. When the ANI-1 network was trained on a subset of the ANI-1 dataset, it achieved an energy test RMSE of 1.45 kcal/mol on a disjoint subset of the ANI-1 dataset.{{cite:e3e4521dc81addfa4e3089b77bf886b89e271e05}} Unfortunately, no test RMSE for forces and en... | r | ee9b746e1fff4607a4d6b7dab9618cb6 |
The direction from left to right follows already from {{cite:11d951172428e6e39d3e48d7adb4fff7cd5cca7c}}, see also {{cite:171a4cd485977d8011f9c117a11835f87e876c9b}}.
On a high level, it uses the speedup result of {{cite:a47c7b000480e9f0c1e4ff74e0cdac7f39256c05}} that implies that every LCL of complexity {{formula:5fdf27... | r | b707622abf49fbc26f7704056d3e6334 |
We render 10,030 depth images from random view points ensuring that a minimum number of objects is visible — avoiding camera looking at only walls or floor — and perturb the depth values according to Section REF to generate depth maps qualitatively similar to NYUv2. Comparison of different proportions of objects in th... | r | f694c7332e0fbfdca02a04a0d5b3434b |
We run ELLIPSDF (fine) and ELLIPSDF (coarse+fine) on 150 validation sequences on ScanNet {{cite:02ce1c761423ce335aff4bd879c9d162a14e776f}}, where ELLIPSDF (fine) means only the fine level SDF residual is used by setting {{formula:30d26246-49c9-4da2-81ca-4ccec52614b6}} in (REF ), and ELLIPSDF (coarse+fine) means the bi... | r | 566c6927aa3966d1c324c4cce4f0a4b6 |
See Table 3 in {{cite:6edcd4becdf593f35eac2d9abe7f4a7a5e69be7f}} for a detailed description of all parameters.
1Reference epoch = 2458868.217394
2Time of conjunction is commonly reported as the "transit time."
3Time of minimum projected separation is a more correct "transit time."
4{{formula:32f50814-bd2d-4e10-9799-d5... | d | dbc0f5ce259d5d86a6e90fbdf3fdecd2 |
In order to directly apply some existing theoretical results from the stochastic optimization literature, we assume that the data has a discrete support. This is so that the number of parameters is finite and does not depend on the sample size. We demonstrate by simulation in Section that desirable properties such as ... | d | cfb771d0464c677423b25a41b228e102 |
Assumption 1 (Restricted Isometry Property (RIP) {{cite:b58e25d3c3f146ba76dfad6e72ce7282459c044f}})
Denote the {{formula:04e8c1cb-43c3-40a4-94a0-e7851754250a}} -th restricted isometry constant as {{formula:9e52d072-f701-4f4e-a2bc-472362a2d3ca}} and assume {{formula:363cb9b5-2ee0-4aba-a7dc-ee014894b080}} for {{formu... | r | b63e09b9088a884af5dccfe3c4b8e340 |
An interesting recent study {{cite:db59245ef4075c0e9c4c5137e3dc2ce47e6d8123}} investigated the effect of disorder (nonmagnetic impurities) on magnonic transport in low-dimensional magnetic materials in the frame of a classical spin (Heisenberg-type) model. Evers et al. {{cite:db59245ef4075c0e9c4c5137e3dc2ce47e6d8123}} ... | d | 6b572e6dae018e03d2167c3e02f608c7 |
Our second example involves a family of generalised 3-state quasi-cycles (see Figure REF ). Quasi-cycles are for example of interest in thermodynamics—certain quasi-cycles are valid thermal operations in that they preserve the Gibb's thermal state, but interestingly without respecting detailed balance {{cite:70eb7ae170... | r | d1ea316ffea722fc7cba21006de1a6f0 |
What makes the MIP dataset unique is the availability of information on material depiction. To our knowledge, no datasets exist that provide annotations on material depictions in paintings, however a few datasets exists that provide material information for natural images. A notable example is OpenSurfaces {{cite:9e16f... | d | c0ae6bc60d0ddb226512236e37a66e01 |
In Section 6 of {{cite:4d1b1381cc3f9ab658d8d0fe4b945ceb8ddce6d8}}, the authors mention their first example of quantum isomorphic graphs can be constructed using both their method as well as a version of the Cai, Fürer and Immerman construction. The Cai, Fürer and Immerman construction is designed to produce non-isomorp... | d | ebb567d86c36874c10352b4b9eef7cb4 |
A family of scalar single-trace operators to be studied is {{cite:b715e87273ac2878756bbef35a106856e5b8e191}}
{{formula:fa1ba64a-7211-4493-8c01-746cfb9b4818}}
| m | 51e1aad178c40c252c4b3a50038cf7d3 |
{{cite:840c49cfabee540c8ab2ec8e3177a734d94b7c2b}} also provide a corresponding worst-case guarantee of the form {{formula:e63015f5-b03c-4e0a-894f-4a581f05e78c}} for when {{formula:ec0deb8a-98e9-45d4-a638-23c55d726bd2}} , which ensures convergence in function value accuracy with a constant step-size rule {{formula:b098... | m | f88fcb1ffc256821e91b778b4dc290b0 |
Other dG formulations might be used {{cite:0e61ecece487ac3cfa5b00875e264e6096cdf478}}, {{cite:69f426c600bef29269c0d4f560e113bd28107740}};
yet, we stick to (REF ) as it is the most similar to that of {{cite:cbfd2a4534bdc03ec23daa90e19495bace27ea40}}.
| m | 6a9bab7813d4105e8f7a8d60d32b9ab4 |
A Dynamic Linear Model {{cite:29f965f281210a4d30b071cbd6ece2a6bdea147d}} is proposed for the estimation of the {{formula:179bfb55-9633-411e-add0-05b0d7b485e3}} 's. Namely,
{{formula:b4b6c654-b30b-4dde-a5de-d3f16a8e928e}}
| m | 8b0b98269b9446da91aa0cc12452ee95 |
The well studied oblivious JL-embedding {{cite:b046cec025944d589df40e8d80aa2064d4f2df9c}}, is a special case of def::1 with {{formula:6f65687d-4bf8-41a2-b7f9-5c471ccddd1a}} . In particular, we have the following result.
| d | d7fd8556662d33e9fcdc29e95366c849 |
The limits of sampling.
The logit adjustment baseline significantly outperforms the cross-entropy on tail classes
—
in keeping with {{cite:1d49e405c322483ef54b9f5824aeade9fefe925b}}
—
but also slightly improves over the “tail” sampling proposal which seeks to approximate it. This indicates
the variance introduced by wo... | r | 6f4ea7e4c87f2e6bf22ef45ce53f8824 |
Broader impact.
This work mainly focuses on semantic segmentation and its widely adopted momentum teacher-based self-training framework.
However, our approach is a general framework that could be applied to other tasks such as image recognition {{cite:bcd7c1e2b41690569ac06a4686b3bea574ae401a}}, object detection {{cite:... | d | 3ceba658c59eaf4d0e8d8fd8540b2afb |
In addition to the solar coronal heating {{cite:e64a1d6f5ca07456570ec4ea0f0a6c4816d0e0cb}}, {{cite:d124f6b020a5860fd4258f8181cda09ae422eec4}}, the omnipresence of plasmoids associated with magnetic reconnection, identified in this study, also has broad implications and consequences on particle acceleration in the solar... | d | 08c0d763aff8213aef1128827cd68a77 |
The analysis strategy employed above, though applied there only to the
dispersive determination of {{formula:80c094d0-6132-471b-9f8c-9ba3fa66944f}} , is readily adapted
to determinations of other quantities of interest also having a dispersive
representation. One well-known example is the standard intermediate window
q... | d | 809ecc0c6102490595ca516e73131a9f |
where the angle-bracket represents the average over all the particles in each event and over all the events, {{formula:48e876fa-256f-41cc-9526-f78782b0c2fe}} is the azimuthal angle of the {{formula:a0ac3fdb-639c-444e-8e53-f77b199d9c83}} particle in an event and {{formula:32ecfb7b-a74d-4d3c-894a-5c4cb05524ca}} is the... | m | fa463310783b77601737a1782009a909 |
Notice that running any {{formula:cf4a2441-1878-4edc-9cf4-dc9c988488ea}} independent policies (ITL) with the linear contextual bandit setting defined in Section REF under Assumptions REF , REF would yield a regret bound of order {{formula:6b6c9b38-7ff8-489d-802a-6a371f387b2c}} . This can be shown considering the low... | d | 581d27a0beac4919835d21065389c700 |
Table REF shows the comparison of OneShotA2V with the RSDGAN and Speech2Vid {{cite:00f392f2b7c4e463cdc4f64e299fe6288880a92b}} models against the metrics such as word error rate (WER) to see the lip synchronizing performance of the generated videos. For this, we have used the pre-trained LipNet model whose accuracy is... | r | 26b478a6402cbaa8308c27e89a68c8f3 |
We provide a heuristic argument in the following, for complete theory, please refer to {{cite:100b00ed25da040b6e5bef2813d650913400de78}}.
As {{formula:fa33f9d7-930c-45af-a2dd-48b594ac3944}} , the implicit Euler's method used in relaxation step collapses to
{{formula:19463222-dafc-40b9-9c37-65f578806d32}}
| m | f7b29a56a22a971d59a3e4ef49bd15dd |
Here {{formula:e100fbf0-7d27-4d6a-82e9-8a23ad95fb86}} are the kinematic viscosities and the densities of the two fluids in the bulk, respectively. Also, {{formula:75d97af5-15ca-497d-8b0d-b42d4491f05d}} is the {{formula:4dc25c13-8f10-442c-a7bd-828a8e7ded52}} equilibrium discrete probability distribution function for ... | m | 8371f1cfd2dc31969f2fe42dd9f7d012 |
Comparison with non-NeRF methods.
Figure REF shows that MonoNHR produces much better qualitative results than PIFu {{cite:5f2a09c0a52b4e1b3fbcea155bac3c872cd6d9a1}} and PaMIR {{cite:8d6e65585ff900c2b98e713b125ba722dea078e3}} on ZJU-Mocap.
Note that it is difficult to measure their PSNR/SSIM due to the pixel-level misa... | m | 6d6daa2355872c99ec7a8e3e933e6e97 |
DP Smooth Non-convex Centralized ERM and SO ({{formula:2cdca705-7306-4f1a-88a8-b331811c7d48}} ):
In the centralized setting with a single client, several works {{cite:1fe58c7e4285df0fe1f90966353c21f0306b1f64}}, {{cite:e10c91d79efe41cd870fc0a2a5f3ddfa5c61704d}}, {{cite:2d0c06ebc5d56e689ad47744a1b8335db14c0ca9}} have con... | d | 7ef4c8c15b22be570c5078a0b7a49cff |
XGBoost {{cite:1b192a686d3ba8f4920b3a2e73d678dd038a6885}}: XGBoost is a gradient boosting framework that uses tree-based learning algorithms. It has been widely-used in industrial ranking systems. In the experiments, only relative metric improvements over XGBoost instead of absolute values are presented, due to the co... | m | 784ae00b85dea87cc95ee1b36390d879 |
On the algorithm aspect, there have been many developments for SELD, inside and outside the DCASE Challenges, in the areas of data augmentation, feature engineering, model architectures, and output formats. In 2015, an early monophonic SELD work by Hirvonen {{cite:40b58dd3a8b276c8a4ef4b96ed299000356d753f}} formulated S... | i | ea524a1ec7e5da93b982976e709ed634 |
In this paper, we have presented an integration of the BRL tactile fingertip (TacTip) and the anthropomorphic Pisa/IIT SoftHand that is able to finely control its hand closure using tactile feedback. Two measures from the tactile images gave suitable feedback signals for controlling hand closure: (i) a structural simil... | d | dea80c694e43fff8059419b2b79828ec |
There are also strong constraints on low-mass {{formula:17864481-8b19-4513-903d-fc990591e3a2}} from astrophysics and cosmology. The most relevant one comes from the supernova event SN1987A. Studies on SN1987A energy loss criteria have put restrictive constraints on weakly coupled {{formula:04539b1b-c107-4e06-a5f6-d8a2... | r | f294096cb1920fd454b294cb99f271c0 |
where {{formula:e2e4c225-039d-4587-9e09-00eb20fa8ced}} is an all-one vector;
in Laplacian eigenmap {{cite:f970e872d988370dbc2ed15cbb8db6146c83a180}}, the eigendecomposition is applied to the kernelized graph Lapalcian matrix
{{formula:5cd835a7-9078-4601-b0ce-d8f20766f98c}}
| m | b10a083ae7676d3ed297a695285039ad |
The following construction handles nonunique weights.
Let {{formula:2159b767-1c34-4933-8422-0faac4ff7e8b}} be a sequence of edges of {{formula:73b4c45b-0c1d-4175-a931-2c0de58ce73d}} .
{{formula:c113efae-301f-4c50-b64b-e0ae75ce0e58}} is consistent with {{formula:b9339de4-670c-46fa-9f50-dff3c064d080}} if {{formula:94c... | r | 16d6aa7743a792a603e6656a3ca7af1b |
We illustrate the variation of the ratio, {{formula:a5b05606-4c7e-463e-ac5f-395ea7a64cb1}} , by taking into account the uncertainties in the decay constants {{formula:c8894d91-6eb2-4533-b295-8175393edd4f}} and {{formula:cb8625ba-15b5-49b8-94c9-9541d71ff4ac}} as
well as those in the decay rates, {{formula:435bd939-26c... | r | 508bb6f2cf32ec367e1fd44b21067811 |
In this paper we have pointed out
that if the probability distribution of a non-equilibrium system obeys a large deviation
then this can be combined with methods to efficiently compute marginals
of Gibbs distributions developed in disordered systems theory {{cite:c4a4aefb7e36e41b84cb6a9d27527f552917b68e}}
together enta... | d | 52f76eb36e8d823f2a0cdec92e1bae5a |
In this paper, we take the view that to obtain the standard Page curve, we must focus on fine-grained entropy of semiclassical Hawking radiation in a weakly gravitating regime, and not the fine-grained entropy of the full microscopic degrees of freedom. We postulate that this can be done by fixing the boundary of the r... | i | 0b0b2b5fedb8147a239d77d4caa9202b |
In interesting aspect pointed out by {{cite:cf8d59847d044c8b03bbc80b2cbb2d8714e5e04c}} is that, at least
on solar-like stars, there are not only active latitudes but also
active longitudes. Such a clustering of active regions leads to an
enhancement of the photometric variability compared to random
distribution of acti... | d | b6555aecefc513e980e8f4f447ed5941 |
Each subsystem in DeFeat-Net follows a U-Net structure with a ResNet18 encoder pretrained on ImageNet, followed by a 7 layer convolutional decoder similar to {{cite:24e754eade3d52df8246a3e880a7b67e2476d5ea}}.
The code and pre-trained models will be available at https://github.com/jspenmar/DeFeat-Net. In all our experim... | r | e25305e05235125f39fc98585f15cb70 |
Testing the gravitational law in the quantum era now becomes a blooming field, where many proposals were raised in recently years {{cite:13cc3d2891a1353f5f62f0519d7eb2c00c45f1bd}}, {{cite:00c3327bb34b2c824d2279fac68a8f2fbdf9a7c6}}, {{cite:c79ec2c7746427c6041cc2338aeb9e7cd71edbf6}}, {{cite:4711d9040496934e100b1660bb077b... | d | c312d504044a65063ece8cd4707688db |
One can also use the Maximum Logit (ML) as an uncertainty criterion and the entropy of the posterior predictive distribution as an uncertainty criterion, which is defined by {{formula:d9d33034-4ae1-4b78-8965-56141c7d93d0}} with {{formula:8c718d70-da6a-4dcc-925f-b62432700b33}} being the entropy function.
Another metri... | d | af3189f91b311bef354df7fae152100b |
A major caveat of variational quantum algorithms is barren plateaus {{cite:1840e40c2ae78dd93283f5ebfbb2baa70c562608}}, where the gradients information is exponentially vanished in terms of the qubit counts and circuit depth. Different from other algorithms, the study {{cite:cfcaee91b5cd2024439561fb2638ae3323f3336b}} ha... | d | de586ef72e197ad8155a45f9095b0572 |
In recent years, unprecedented growth of mobile data traffic is witnessed due to the rapid proliferation of various wireless communication technologies, applications, and services.
In general, 5G standardization goals are defined based on enhanced mobile broadband, ultra-reliable and low latency communications and mass... | i | 311fb0743a60370dca32a275a82a93e8 |
In recent years, approaches that directly compress FL model parameters are starting to emerge {{cite:99eadb3a04236cefde2a03a3f76ca6fe7efb2ad4}}, {{cite:c492406fc15b2306ad87a997db4efe4ada55a17c}}. This is more challenging compared to gradients compression as more training information is lost in the process. Nevertheless... | m | c87e4e8026446d21a0d16ba56cc25821 |
Proposition 2.1 (Scaling limit of the supremum; {{cite:45577ea2fc9c895e9818cd17acdfdf9e51665353}})
As {{formula:bb6a4bba-f4ba-47bf-82aa-c8e2ac58284d}} ,
{{formula:c3f80a55-acef-41a9-be89-3333123804a3}}
| r | cbe7328009aed6e8d4359a236557bd52 |
Last but not least, since the topological entanglement entropy is
defined as the finite part of the entanglement {{cite:efddcded18499b37013ffa78bbc8c9c9802491c9}}, {{cite:30b1fe8aec94dad84aaf5f50273d537dc8ec1e06}}
which could be the measure of the topological order, {{formula:571aed5c-c704-493b-a054-fe219153fb70}} sho... | d | ffaa69a9c15a8ceaf785e16a824be22a |
We sample from these prior distributions and evaluate the likelihood in a Bayesian framework using a No U-Turn Sampler {{cite:558ca23c0361fa02d23b87fc4c706c49ed031f22}} implemented using NumPyro and Jax {{cite:b7ccffa2c19ffdf027d4b8caecef1ff37fd51cf1}}, {{cite:69ec518edc70da3d3f260f2c76e509fe0f55cc3f}}, {{cite:efc26ddb... | r | 96256258d3825ea7415df15b07bb558b |
Face is an easy-to-extract biometric trait with high potential in practical application. Among others, it has shown excellent capabilities in security applications such as intelligent surveillance, user authentication applications such as traveler verification at border crossing points and diverse other mobile and soci... | i | 255321b795e8f1c55312d2c3b890e324 |
We have demonstrated that the basin boundaries in systems exhibiting doubly transient chaos are generically true fractals, with both Cantor set structure and the Wada property observed at arbitrarily small length scales.
It is instructive to compare this with the most previously studied forms of transient chaos (i.e., ... | d | 80f063520e356f74dd3c5d61fed712cc |
Evaluated methods.
As the 3D scene stylization task is a relatively new problem, we evaluate our method against alternative approaches built upon the state-of-the-art novel view synthesis NeRF++ {{cite:00d121f5ef40b7af88bfb9affd5748403be8a52b}}, SVS {{cite:70c082dbe182fe2ff48ac39b3f9a845f8a3d02d0}}, and image/video sty... | r | 1bbfc22046568192391f70b185a7fb99 |
with {{formula:4321739d-fa49-4393-84b3-79a3b1e6eb68}} and {{formula:893fe737-9a85-41ea-a401-c8be9733cd6a}} ({{cite:2be94424e209cbdc71a5e2f8f68db03494debb2c}}),
and have an explicit formula
{{formula:4871e206-ace9-4831-9a0c-894d6c97dfec}}
| r | c8f37e079ef21bd15e5d4946e5f1eedd |
Another popular class of null models popular in the network science literature are defined by constraining various microscopic properties of a network. The microcanonical ensemble imposes hard constraints on mesoscopic network properties {{cite:831194c9a3f5dfb5d319f027da016b914adb359e}}. A well-known model that falls i... | r | 311e3c4a023f59b6c268d3bd331131b0 |
Remark 2.3 Let {{formula:7d486ff5-5243-44f9-9b95-e909445895ea}} be finitely generated {{formula:49bd4752-9f6e-4c1d-acb0-e5f4267360a9}} -modules and {{formula:a48047df-2c99-4b7f-a871-9bd52b74c0df}} an ideal of {{formula:d7194228-6fe0-4510-a534-a1cf65c2ecb1}} . If {{formula:31e4e764-fcd2-416d-9c10-a95690a0e75e}} , then... | r | fae4d20bfb72fd629f19b6892b247f9f |
Visual Image Classification.
In Table REF , we compare our method to the static convolution {{cite:e0cfeb7cd56932a65887a3db654784d311ca9c0c}}, CondConv {{cite:3e0428b00b36a1b786369ad2f0e3025210370ccb}} and vanilla fully Dynamic Convolution {{cite:c2391bd4352eed02e2b7142a42d9fd367995d80d}} on ImageNet {{cite:74bad783625... | r | 4e5c27ec2f78983e0a27216ada7f209c |
The performance of the proposed methods was evaluated in
comparison with classic FBP method, TV method, KSVD {{cite:eeb5fc80561b0d0de5598c2e94284da83031cf3e}}, BM3D {{cite:f19e8a5c058189dc5c28d8fa6b34c67ddc265f35}}, FBPConvNet {{cite:c289fd3e79336bd2d3de80310ce1b588b87ef419}}, MoDL {{cite:4adc7c3ebe9eb7464f17f49665a873... | m | fa6e54912483c0985c5404ffa44603fd |
Comparison with Yu et al.
In {{cite:eb7c734b3a3c68877830f22d43aa9df8ddfedca7}}, Yu et al. use multiple dilated convolutional layers with different dilation rates to extract features at different scales. ADC adopts a similar idea, but implements it in a simple yet efficient way. Firstly, ADC consists of only one convolu... | d | 9140ed12a18f37ed86f47df1533f316c |
We showed in Theorem REF and Theorem REF that FNOs (resp. {{formula:89412f5e-7fa1-46e8-beba-c616035623dc}} -FNOs) are universal i.e., they can approximate any continuous operator to desired accuracy. Our proof relies heavily on the ability of FNOs to approximate the Fourier transform and its inverse, together with t... | d | a45cf472a09bcac5a1b931245e4d9257 |
These three geometries correspond to a DFT embedding with {{formula:ff6c25b5-0146-4ca5-9470-ff891d7cf930}} , so it is natural to ask how they are related to each other. Relation between Carrollian and TNC geometries was already proposed in {{cite:6ab88dcb0219735878a87f0b6215ffa8175147c5}}, {{cite:75543156997e05091be0b2... | d | 8c6695b048e3238d6d83693890352c46 |
We compare the proposed approach with one classical method ({{formula:0c9a8e87-2329-46b0-9a7b-592e8b75f4cf}} -means {{cite:9eb60ffafb4ecb9b7b88f69189a5be8663872d2b}}) and four state-of-the-art methods (i.e., KCL {{cite:6ab83a401ea9f3a38e9d63a6f6a1917b86609c60}}, MCL {{cite:ade4abb4b31e2ef216fdd73b270c41e72fc95c8e}}, DT... | m | 41bdd45bfd289da0255dacd2efc9d1d9 |
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