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The quantitative results in these tables show that NanoNet consistently outperforms or performs nearly equal to its competitors in terms of performance. The quantitative results also show that NanoNet can produce real-time segmentation (i.e., produces at least close to 30 FPS for each dataset present in the Tables). Th... | d | 6c7f97ca362300ffd3e6d56a3254f116 |
Generation: All the generative networks are trained on the {{formula:d8919c77-49b0-4d7c-8428-e87364474cb1}} real data in E-Gait. We report an FID score of {{formula:e6854721-6770-4c4b-b3eb-1befb5fe19fb}} , while the FID score of Baseline-CVAE is {{formula:03c144a4-f84c-4cb9-8e6d-99d8621577a4}} . Lower FID indicates h... | r | 87449fe121e49781218311df609c63c8 |
Next, we turn to a physics-based design of the interparticle {{formula:5a8d298f-b10e-4707-becf-3296b7b27a1b}} , and refer to a canonical,
Bogoliubov-type form {{cite:04a928d3866c95c37a62110fadbd7f6875443494}} for the square of the normal mode excitation ({{formula:c332d0d0-3fcd-4246-9392-0b43b513bc9c}} ) energy
{{formu... | r | c264fe2d10286c687de8ea6eb9175de4 |
There are also several baselines worth of comparison to NP-RepMet: for instance, we can train a standard object detector on base classes using the same FPN-DCN backbone and then fine-tune its classifier head on novel classes. This is denoted as `baseline-FT' in {{cite:0c2f7bb4a46c3b5e6ec8179100ad54c24f9f675e}} and Tabl... | r | 490e1129397ea5ddd086d9a03cf8bb81 |
The main distinction between random network models is that the probability of the edge added between two nodes differs according to the model. In the BA model {{cite:e83f98a055832812574a65f2aaa7c84d288fa169}}, as a node is added at each step, each new edge is determined in direct proportion to the degrees of pre-existi... | r | e2fbe2fa5b26c2f2ac5f8f84fee6da36 |
E2s'(n,R)=
-R + s'R2 +4n 2 vF22
Second, the Landau levels (LLs) for fermions in graphene can be found by requiring {{formula:7335e319-bac2-4c19-bd20-a09bd37bcc01}} :
{{cite:d69c58d76152c8b0e94aedb4023710b2e82d8925}}, {{cite:42c52f39865c38143414792c0eb337177765a1c8}}, {{cite:e952185ce121e9f1abee9c980446d83aa8e17c08}}... | r | 0efb1dd9dd78bba63ea9301677c76422 |
Furthermore, we conducted experiments on publically available real-world dataset provided by SPANET {{cite:37f7eb4517f219c779715c6de466a2f962c58ac9}}.
As shown in Fig. REF , traditional hand-crafted method, that is, JCAS {{cite:0add08d0c17c87a8ad87d1761700b6fc9bd4ba8b}}, encountered difficulty in removing rain artifact... | r | 9cc7a75b7c75d86945bd64cfd1d4af74 |
Global Non-Penalized (GNP) : In this basic approach, the control points are optimized without smoothness penalty in the cost function (Equation REF with {{formula:1356aa5c-43bf-4523-99a6-e01b9af7a896}} ). The number of control points is set to match the RMSE threshold given in section REF , paragraph 2. We call it gl... | m | 8cc720abf4a5ddb878af8619a4a64ed4 |
Second, we do not understand how the pseudo-parallel data translated by the backward model affects the forward model's performance. For example, {{cite:06de090eb5c69659f2db2c9224d60a74ca8d6fb0}} have observed that pseudo-parallel data generated by sampling or by beam-searching with noise from the backward model train b... | i | 5e128b184585a3d704224465233e1c4a |
We focus on 4 tree ensemble baselines from literature: single-task soft tree ensembles, sklearn GBDT, sklearn multioutput RF {{cite:a31b180d823e3385745f3e38cff3edca53a9ec8c}} and r-grf package for GRF {{cite:4afa82a16a44dc51e2e65e9d2db20ebca2feae72}}. We consider two multi-task settings: (i) All Fully observed response... | m | faeb4c3c64a907e4e2ad6f051f6f960d |
Fig. REF a-c show the time series {{formula:8733f109-dafa-40d3-923a-e654fcb635c8}} and corresponding histograms (Fig. REF d-f) with increasing {{formula:5f3cd270-e296-4476-9a01-ef2a6b8c6c8b}} . As {{formula:cdea7a00-df9b-4fd5-8d8d-92a17cd95608}} approaches the forward transition point, the number of produced metastab... | r | 4f83278779c65a41593719e50ebd392e |
In order to judge whether the observed magnitude of the conductivity signifies strong- or weak-coupling behaviour, we note that at weak coupling (including only QCD processes) the usual expectation is that {{formula:9117c10b-9afe-4e57-b478-f2865d3046c4}} {{cite:f975b1a90c510c5ce227827820dbb6dccca4247e}}, which is much... | r | d2263d8843383e9cf357a93b1c6f8470 |
paragraph4
.5em plus1ex minus.2ex-.5emOther advantages. Recomputing population statistics is also found important in the presence of other train-test inconsistencies:
{{cite:006a5f73e7e728b3dbf61bea045a5618905bf7f2}}, {{cite:ad5a8e4c51741fbc1928847aeebf02425abc0daa}} recompute statistics because the model weights
go th... | d | cc0d93861fde450d35879d28d90b4d14 |
In 2012, Gleiser and Stamatopoulos (GS) {{cite:fa6d154a2c2c6b3d963b07b9bdc26abbb068d900}} show that CE brings information about some parameters of a given model for which the energy density is located. In Ref. {{cite:fa6d154a2c2c6b3d963b07b9bdc26abbb068d900}} it was shown that the higher the energy that approximates th... | i | 50802974cee4a70604cd22a57b6915b3 |
For a graph {{formula:d204972b-626a-4c5b-a747-979fadd4232b}} , a natural generalisation of
{{formula:b6d5b8e4-dc99-4022-86d5-d96b4770d6e5}} is the
graph {{formula:230d340c-eacb-4280-846f-14f3cfa3635e}} , which has the same vertex set as {{formula:bfb12d15-db35-4c27-b679-efe339508f44}} , and {{formula:caa5b7de-4292-454... | d | d97a703d4fe49bd0681f1265f70fb45b |
Peak-to-peak maps are scatter plots of consecutive local maxima of 1-dimensional solution trajectories. Many choatic systems (e.g., Lorez {{cite:85c78d931216a2bcf7c8ede646f693cde1776c21}}) are known to exhibit so-called peak-to-peak dynamics in that the value and time of future local maxima can be accurately predicted ... | r | d439be9688d08af5ada9e5d32e2fec46 |
In vision, explaining an instance with its corresponding counterfactual {{cite:0d54ab1321eda8f579c1c79284964cfbcb829fb6}}, {{cite:1b385dcea8e48b5f96ad6806b29a8951487c3d98}} has become common for highlighting changes that would most easily flip the prediction.
In {{cite:0d54ab1321eda8f579c1c79284964cfbcb829fb6}}, author... | i | 455155f5a0ebe17f4ef0d3534265e22c |
Following the experimental progresses, there have been plenty of theoretical works concerning various properties of these excited {{formula:a9898b62-1b41-41db-99fd-82be27f03943}} ({{formula:8039ba63-da0b-4877-b994-27e3d51cfe42}} ) states {{cite:f139f107e70c86e85919f2fc1dfe2dfeb6b13bec}}, {{cite:44ef7238d09318a80b98da5... | i | 35049faf0705887008f3a663cf179219 |
{{formula:415daf09-5142-4aef-a03a-334309bdba56}} being Riemann's zeta function.
Mézard and Parisi {{cite:fc22f3862e338e962cc33e2189d78322ad24d734}} also conjectured that in the exponential case
({{formula:5c13c19b-30e4-4491-8079-d6dcc0ea39fe}} ) it is true that
{{formula:205663c6-cb00-4534-bc08-03984922199e}}
| i | db658dfc3c304c33f007925a229f232c |
NGCF {{cite:0ec1d48670ec35dc3e1b51d2263bb3b3ae6bd4f1}}: NGCF integrates the bipartite graph structure into the embedding process based on the graph convolutional network. It explicitly exploits the collaborative signal in the form of high-order connectivities by propagating embeddings on the graph structure.
| m | 641884ebaa9d489d53dc27e1666759d8 |
where {{formula:ee7360c2-4b61-4d69-94da-4268ea02f8b2}} is the discrete gradient operator calculated in the {{formula:aaa8ba3a-c5dc-453f-b651-6c4836143345}} th cell. To discretely satisfy the equilibrium condition in static droplets and bubbles, {{formula:16ddf592-d5a1-4d65-9af1-94e023e6cf1c}} has to be discretized wi... | i | af9c1bd8c11068fe0d1dc484424dadac |
Asymmetric factor ({{formula:335fabaf-90cd-48ad-89ba-2d48cde3f3de}} ) is introduced to quantify the asymmetry in the SPDC emission profile. It is defined as {{formula:411c84d0-9c37-4aed-b929-97d40e078f61}} , where {{formula:7f7bd14e-46cc-4592-b9c4-72b16efe42c1}} is the {{formula:b14975d5-6f6b-41aa-9ca0-d85dc86c0352}} ... | r | 9d019895c176f269436d3441fe2eca0b |
where (*) follows by the sub-exponential concentration of property of {{formula:6594e9c5-12d3-460e-a557-ea17bc2534f4}} random variables (see Example 2.11 in {{cite:339479fa953776b1939f5ae7241338fd08bcbcae}}). Finally, plugging (REF ) and (REF ) into (REF ), we obtain the bound for the minimum sparse eigenvalue as
{{fo... | r | 8f25ca3ce315e7d79fd835218825dec9 |
A key characteristic of our proposed Spacing Loss is that the latent space regularization that it offers can effectively act as an add-on to existing methodologies. We showcase this capability while evaluating in single-stage setting. In Tab. 1, we organise different dataset splits based on the balance between the num... | r | cab7d9a83f6d42bf78d426674431a4b9 |
Remark 3 (Adapted from Theorem 1 in {{cite:0ae9f395a47d1fc79446ab27105a566eafb05e82}})
For general {{formula:551b8d5a-c2e4-4503-ba4c-b537d7dc8524}} -divergence, we can obtain the following equality asymptotically under some mild conditions for {{formula:d8447577-dec1-437d-8ac2-751b2e4fd1da}} and {{formula:133a62df-24... | r | 7bf6b8c63cc98d83db152da0d6cad4bb |
The structure theory of infinite dimensional Lie algebras
have been extensively studied due to its important role in Lie algebra (see, e.g.,
{{cite:d93eff87d693ee0e5de45cbe9167fab8d6fe6bc7}}, {{cite:1759e65292f129353332abb2d50c6eb88a765b30}}, {{cite:b22714e3b77020c3fa3a562ff5071387eaea7de9}}, {{cite:8907f78ff8a7d12dbed... | i | 94e4216dc31a2083223ed89875194bf1 |
where {{formula:7142de28-6280-4810-a1f6-391398ddd9ba}} is a regularisation parameter and {{formula:1bb32e35-0e5c-4053-b31c-811e858e678f}} is a finite-dimensional subspace of {{formula:08d5d263-9936-4c05-8fe9-15ffd67a389b}} . What is more, for all {{formula:b68b6f4a-31ad-4058-af5b-292a661a626e}} the Representer theor... | m | 7f5a4c4a3ee5c1ea1ebf82d4ee2193fd |
Traditional method (termed Tr.): This method is to pre-process IMU data using the traditional approaches, i.e., a low-pass filter followed by the intrinsic modeling {{cite:ffb4e34ea7ab72d96f8cca02d08b0fee9361d59f}}. The results are used either standalone for integration or fused with the visual data for long term navi... | m | 59352ee1376b9d81c1f47d3d62e60f37 |
Our approach consistently outperforms state-of-the-art methods by a considerable margin with comparable parameters as Sketch {{cite:ad429749852330db369217dab8a39745b6adcb51}} (when using BiSeNet {{cite:012c2a2171f1aeea3a9ea990081a58bc666cf6f9}}).
When using DeepLabv3 {{cite:74becdde6c3905594da43616dd9ede36aef4ed1b}} ba... | m | 5419c4cd7142f66f4be4d46b706f8be2 |
Recently, Mei and Patel {{cite:b2bbd2917b2586821b44d3ee306ddbb10a1fc91d}} proposed a method that can model higher-order distortions due to turbulence using a simple method, called ElasticAug. The mathematical model for this method is the same as that in Equation REF . This method uses Gaussian blur as the blurring oper... | m | 902dac372ee050e8cee6efb51dbd98a9 |
Here we present experimental results on MNIST and SVHN. For comparison we also report the results produced by {{cite:155f06cbcd57f73cb7124b1ba03a823515f5bbc6}}'s method.
| r | a17879927a38d4fa1153faa4bc0c78d3 |
We choose the following set of parameters and initial conditions to study the film rupture: the initial film profile along y for fluid {{formula:056673c2-8923-4914-8e02-425ac7346d86}} is a step function of width {{formula:be52ae10-acd3-4aad-b068-a7b799a5370f}} in the range from 6 to 13 lbu, which drops from {{formula... | m | 8ca97e027f41edcd0795697f6c3d967c |
Over the past two decades there has been considerable interest in black hole phase transitions in anti-de Sitter space {{cite:0f9f251db4198e4ec6f5c2e308a8797f750c858d}}, {{cite:ce04cf5752474d9cfc70842899dc86e3fe990223}}, {{cite:31509f8c21be4a0a2a64538efff27d7f516b5bcb}}, {{cite:a2af6e373fb60a9f3ec9014d343b056e92875163}... | i | cf53306297523b61d7e67bdae1249818 |
Even though our comprehensive analyses show improved attribute consistency, this study has several limitations.
First, the training data require annotations of attributes.
Fortunately, CelebA provides 40 annotations for facial images.
To label attributes of new datasets, semi-supervised learning largely reduces manual ... | d | 909f3d0f5913cf4c7c47a7d57f79e325 |
Although we can get the spectral convolution in Eq.(REF ), it is noticed that the convolution kernel Eq.(REF ) is only a {{formula:5e05c276-b2bb-4270-a08d-5c6e0bb5fb00}} -localized kernel,
which aggregates
{{formula:50a2f508-43d6-40c5-a736-a3d497832ccb}} -hop nodes
to the farthest per iteration
and thus
restricts the f... | m | 36b8da64a079fde009524f0dfca36f12 |
Early experiments that used human annotations in place of programmatic reward used simple domains {{cite:8f3b7994cdbec900280c714a2cd81eed767c1f8d}}, {{cite:67abea24d13b7506f49e259110623898331d6200}}, {{cite:d5793dcca74efd0d6edd404edcf74a95633e3135}}, {{cite:dd484f33a869f1fe334566c8b03eb5ccf6ecffa5}}. There has been a r... | d | 56251aa29b51cb7fb2fa51bf5b729603 |
With the worldwide boom of E-Commerce (business-to-client) research in recommender systems has become one of the top priorities both for academia and the industry {{cite:7f98f93a63203bbb350c5450cf8d63bb4ff5c77a}}, {{cite:7cf582bc54a7a5909a142173f12783a5f7dcde72}}. Recommender systems are beneficial for both, the busine... | i | 1fc7ff76d1afee67ecdbbaa10243055d |
We evaluated our model on the Human3.6M{{cite:5a1a22e2f9eb38f255ff82a16a6e25ffc42710d8}}, MPI-INF-3DHP{{cite:36030a3f3f276729cb2a1a60092a0053af2a7542}} datasets and showed quantitative results. In addition, we also show qualitative results on the in-the-wild datasets MPII{{cite:ce1f00b35aa9a43c9966f6f76402a22393ecebfc}... | r | 6f64d770ee1977406296e66c69ef717a |
Details of the electronic structure calculations in the presence of Hubbard-{{formula:958c09fc-7fb4-4766-9631-9f01fbdec6c7}} , SOC, and zigzag magnetic ordering are presented in supplementary Figs. S5 and S6, and Table S5.
The full orbital content of the energy eigenstates was characterized using a combination of Quant... | d | 6ccf18600826d784c888aab0fde02ec9 |
MuJoCo {{cite:2c8fd5f94508f2925e55d357486d280d514fe968}} and PyBullet {{cite:32f8f5eae88f2f79986960837ceb550512a897cf}} are physics engines that facilitate research and development in e.g. robotics. They provide fast and accurate simulation for rigid multi-body dynamics and control. Such simulation tools make it possib... | i | 7747ad568a9e52d43eaf7a148e3935fc |
One interesting open problem for untrained reconstructions is the network choice. In our experiments, we utilized a convolutional network with an encoder-decoder structure and found that this worked well; however, our network tended to blur out high frequency features and there may be other architectures that could pot... | d | cf8e123ad14874b9e5d4431c78672942 |
Smartphones and casual photography using these
devices have brought an increased demand for methods based on various image
manipulation techniques like photo enhancement. Image enhancement is one of
the fundamental problems in the field of computer vision starting with methods
like histogram equalisation for contrast e... | m | 777cf457796fb098a5e135e8ab9fa873 |
There are a number of promising data-driven speech representations. Some directions include self-supervised contrastive learning {{cite:fc337cc55a083257845ed913abec2e3d97ee0767}}, {{cite:728152ec0b66bf05034abe232859a712eeaedf98}}, {{cite:d7c89e61798beec0c5b5cf1adce0e636b51ca875}}, predictive coding {{cite:3a34e5ac1cc2f... | i | 02c8cf75b60fdc1143c50c050ae19545 |
Although the developed TSA approach is promising for transient analysis, its performance relies on the training data, like any other data-driven model. Here, as the transient data are generated from simulations, the training dataset is ensured to be balanced, i.e, the number of stable and unstable transients is close.
... | d | 746bca78fdb6c3927a6168d0bb8b8e73 |
Throughout the paper {{formula:1cc7b9d4-7adf-4aeb-893e-17acdacd1ac1}} is a commutative Noetherian local ring and all modules over {{formula:88f9eaee-f1a6-45bc-8f8e-42c2907cbf00}} are assumed to be
finitely generated. We start by recalling
several definitions and terminology from {{cite:7b6a6635ff286dd2ed9e0515139a79c... | r | 0fc2e0710fad213b178221d791cbd249 |
The AdS-CFT correspondence {{cite:afb82540289997f208d8071ffaffdca1b06ed44e}} seems to indicate that quantum mechanics
should work as expected
for a description of black hole evaporation. That is because one can have evaporating black holes
in a spacetime that is asymptotic to anti-de Sitter space. The boundary theory t... | i | a13e743529287265f06d06d4cc94de0c |
Probably the most interesting outcome of our analysis is the existences of structures mixing complex and paracomplex structures. As we have demonstrated, these mixed structures arise very naturally from (a pair of) pure spinors of a given real index. Such more general structures are only possible when the signature of ... | d | 0a48692464a7613a128acbaf1bef594c |
A limitation of the proposed method is that the used a single whole-heart template may not capture the full geometric variations observed clinically. In particular, the current template assumes four separate and distinct pulmonary vein ostia and thus may not fully capture pulmonary veins with alternate branching patter... | d | 7739dd30bff9c29c707fad62f08a8826 |
For each {{formula:14a5976f-dcdd-45a8-9936-22832e01c137}} , put
{{formula:420dfe79-2544-48c1-9dbe-e6604b7dffcc}} and {{formula:9dd8b006-736e-4a3b-89ac-47210fae31ab}}
By the {{formula:9f207ce5-72bf-4678-8574-bbbd9004ff98}} -inequality (see, e.g., {{cite:bb8073ecb8017a6357fcd14691948fb795770eb2}}) and (REF ), we have
{... | r | 515f4cb0d0755e8902684403417df75d |
Our results suggest that including MD simulations in the training process can be considered as a means to improve the reliability and accuracy of NN potentials.
Active learning NN potentials {{cite:2ce0030d464974b2417afaa363ddfddbddfa5cb3}}, {{cite:e2017b3cfbfe7253efc35705f1265f7b3f5ea0e4}}, recognized as a major build... | d | c1fe71190df0f42cd2a9d7f95aa18cfc |
We note that the polaronic transport is favored in materials with strong SOC that lack inversion symmetry {{cite:2246dfa6957f19f7b47b7fcbf56b2931c614ab02}}. To get insight into the relevance of SOC, we further performed first-principles calculations using density function theory. We applied the WIEN2K {{cite:dd87323577... | r | b022b6678f1d08b3aaee5260ac8e59ce |
The TM charge accumulates due to the flux of energetic charged particles in the space environment. Cosmic rays with energy above {{formula:9352ab7f-28a8-4ced-b3ac-d3c3b547fb62}} 100 MeV/nucleon are able to penetrate the shielding of the spacecraft and deposit charge on the TM {{cite:a4610056532976712d0cb0c19a18eba9e586... | i | e746a6400e1997dd4ab0bc45cf931118 |
where clearly {{formula:bcddc635-b834-4320-813f-9d095c26c2ed}} and {{formula:2867d07d-e288-4a92-bb49-b029fc02e9c7}} . By {{cite:7551e9d0ad28794cbf18296ce2a716774e94eb47}} there exists a constant {{formula:c9766c69-bdb6-415c-bf76-fd850a95ac11}} such that
{{formula:36f33f62-1386-4d94-b2f3-3dd171e23e6e}}
| r | bcf19b288850ddf4da3590de453f2d6f |
In our particular case, we seek to continuously maintain a dictionary {{formula:1b52abce-086b-4569-b4c6-2b0900a6841c}} such that all incoming data points are well modelled by this dictionary. Therefore, the generic 2-class formulation in (REF ) reduces to (REF ) in our case since all data points must be associated to ... | m | 0d37d2da709cbfd6b7db1695e6f09853 |
Note that when {{formula:f248c472-86fc-41fc-a9e1-7e308946ff02}} is a complex Lie group (and {{formula:ba8b6c5a-956d-4ec3-8863-c08f804e16d3}} is the associated complex structure), it is always Chern flat, but the converse is not true. So in Theorem E the conclusion says a bit more than the Lie-Hermitian manifold being... | i | a0f93a14ca721f3627bb64fdc6537eee |
Orthogonal frequency division multiplexing (OFDM) is the most popular multi-carrier transmission technique due to its simplicity in generation and recovery, high spectral efficiency, multiple-input multiple-output (MIMO) compatibility and robustness to inter-symbol interference. Hence, OFDM is the currently used wavefo... | i | 4abf7681089ad94018c0471f4039fb9e |
The shared control arm, adaptive nature of the trial, and stopping rules means that the treatment effect estimates based on the trial may be biased, especially for those that stopped due to superiority or futility {{cite:ba93727008f25e1389aa1bad246f6aed8b2601f8}}. Exploration of whether modifications to deal with such ... | d | 5db5824d401b3a5ed96315f27d3da07c |
We demonstrate the potential of our algorithm on the ShapeNet {{cite:c2d85eb027d3f6afe5ef451801689cd27e9716bd}} data set on various types of shape classes in terms of how it captures the details of the 3D model by comparing with state-of-the-art methods. Additionally, we access our method on different models downloaded... | i | a1e0a37f5603f358291ed03292c29a7e |
PLM have led to tremendous performance increase in a wide range of downstream tasks, including machine translation {{cite:b89b698d4d900e3185b1022aee24cfa4f595ee2c}}, text classification {{cite:6000b280f641e3f51d367165bb827d2fd834a33f}}, document ranking {{cite:ee9b7a3164f3e72f76caa45a358ac40d003f0690}}, etc.
The core c... | i | ca02d1ba1367a39fc79b0decbb029a02 |
The corresponding undirected graph is called the
undirected power graph of {{formula:aba60e9f-3381-4a56-b4c1-58be4804ccb3}} , denoted by {{formula:799b907f-81e9-4ed3-b097-06e0bd87bf8c}} . The undirected
power graph of a semigroup was introduced by
Chakrabarty et al. {{cite:e0cbd0947f9eb79637c447372926fae87e675dbd}} in ... | i | 39c347118153b6b03f8018f43aa97747 |
Bringing the RG framework to other sparsficiation methods, like RigL {{cite:91a9d95cdfdb46e31c0594df22cc7b8e54ecfe14}}, which can similarly be viewed as RG schemes;
Bringing the RG framework to study winning tickets beyond computer vision, such as in natural language processing {{cite:8218e7dd0e9adbabe1c6e1d7540c917d... | d | d4d64a55a11e71ba5d154a22b67cb2e1 |
Let us continue with the famous Representation Theorem, first obtained by {{cite:78a006ef821dedaee2a8bf52da6c93ed9560ec92}} in the continuous setting and again for arbitrary measurable functions by {{cite:2dd3e2d108e4041b42fcc1ae97b62fb9b6a02add}}, c.f. {{cite:7f216b0ba91b4cd0369d48a78ad6ed145aafa3be}}. It states that ... | r | 900951133c48e646ac737fda664fdf40 |
Regression based methods such as {{cite:c08cd29aa753095e0c6d5c969a9c62d1ebb48e97}}, {{cite:7cdf304ac7f51b70908cb20cc502adb8934e006c}}, {{cite:edfc1c2523b9a0ecff50b768e959faea822795ba}}, {{cite:f59d2555083722e63f0bee86123c8ea85f990e0f}}, {{cite:ed416a94303a73392f8af614be716abca2a5912c}}, {{cite:b74b3c0fdd36c5114b7148f8c... | m | b8c0a9248833778d13a28e8ad8c5d2a5 |
BayLIME is a Bayesian modification of LIME that provides a principled mechanism to combine useful knowledge (e.g., from other diverse XAI methods, embedded human knowledge in the training of the AI/ML model under explanation or simply previous explanations of similar instances), which is a clear trend in AI {{cite:dffd... | d | b18bb683af74525db7e710b82faeaf18 |
Alternative supervision.
Much of the progress in semantic parsing has been due to being able to learn
from weaker supervision.
In the framework we presented,
this supervision are the desired actions {{formula:e1e748b7-e1cb-4809-958a-ca0e5711d958}} (e.g., answers to questions).
One can use a large corpus of text to exp... | d | 174a30812279e10af0f200a22703e111 |
A noteworthy outcome of the precise comparison between BCFT and gravity is the identification of different disconnected OPE channels with QES inside or outside the horizon. From the examples studied in this paper, we infer that a QES outside the horizon on one side corresponds to a disconnected channel with twist field... | d | 6aa7c4ce774571660b182848574bb437 |
Nevertheless, our proposal is much more modest. We argue that the universal laws of thermodynamics should also apply to the vacuum, as already considered for black holes and in attempts to endow the gravitational field with entropy {{cite:4aa920dc6fa4cc43f277468e2dbbb6e6ad959273}}, and furthermore, that inflation provi... | d | 7f610853325c01a9d8ae33b9866b7728 |
We observe that random intersection graphs considered in this paper admit asymptotic
power law degree distributions, but their degree sequence is not an iid sample from a power law. We mention that some real affiliation networks
are believed to have a power law degree sequence, but with an exponential cutoff, {{cite:aa... | d | 9aae5444b3606062840793af6f790b29 |
By REF and REF it follows from Theorem 3(a) in Section 1.2.2 of {{cite:39e1b29e4ad1c04c9f71f52b47ef7a45044f248e}} that
{{formula:a212ab35-2d31-4d09-b04c-244f5956c8d4}}
| r | aed180b57d4f878bcd0d2009d6f46052 |
Although 3D keypoints in {{cite:46b2de23ccc97274e6747367c91d3468bb0cb668}} are not oriented, the local orientation is implicitly used to encode the object target configuration in their pipeline, for instance the “put mugs on a table” task (Fig. 6). This highlights the importance of local orientation and the benefit to ... | d | 45735024de6a5afe9cd513f4a09c58d4 |
While our approach imposes significantly less constraint on the structure
of slow dynamics than competing approaches (e.g. ARHMM), there are
still limitations. First, we relied on PCA for dimensionality reduction
of locomotor trajectories. Since the success of PCA relies on linear
separability of trajectories in the da... | d | 5f9a3675018dbb77e6578fa641df4ccb |
The focus of this paper is on the image captioning problem, which requires analyzing the visual content of an image, and generating a caption, i.e., a textual description that summarizes the most salient aspects of the image. Image captioning presents several challenges beyond those addressed by object recognition, e.g... | d | 89f7666f4a418702388300b8f21579f8 |
This follows from see Equation 1.163 of {{cite:3cee45577a1d6b7cec0ed3dfba41746e3450e290}}, up to rescaling. In view of this, we may rewrite {{formula:ec4a37bb-e903-49f6-b356-60f4ba4f8a03}} as
{{formula:e3686219-0664-421e-8ee8-da99d8b00804}}
| r | 7d7ad25350e77bd25ceae5a1e324b333 |
We match perturbative orders between the two fits at NLO in {{formula:51256547-b9cf-4750-a419-eba07686b849}} . In practice,
this means that in the CT fits, performed by default at NNLO, we instead compute the hard cross sections, perturbative PDF evolution, and running of {{formula:c136cc85-ad6b-426a-8d4e-2dabe044b746... | m | 9c0dc84ded398cb14724533af83d9f17 |
{{formula:53ef28ba-579f-4999-916c-54b6c3c31a88}} ; {{formula:04aaa80f-52cc-4144-817a-1a0ba192c6d1}} ; and {{formula:9d238e1e-879c-443b-b8e9-4a62eacc178f}} . From lemma A.2 and (8) in {{cite:b1b098b1a62b935df735794e3e65daba57c21cc0}} and (S1) to (S5) in {{cite:0b97fbe21ead4b2d17e6bcbde63b3a8d6e67abb0}}, {{formula:42eb0f... | r | 73dcf5cf8bf11ded03e4cdc5f70a0a6b |
Two (linear) product operations of a certain kind defined on the same vector space are said to be compatible if their linear combinations are still of the same kind. In recent years a lot of studies have been done on various types of compatible algebraic structures, for example, compatible associative algebras {{cite:c... | i | 6a81b9ad8ffe341ad1a1c9fe7900aace |
It was subsequently shown that JT theory captures the dynamics and thermodynamics of higher dimensional near extremal black holes in both flat and {{formula:0b69e251-6a2e-460b-913c-67bcef801d7f}} spaces {{cite:5ca90e14559ddcfb562c844698cb392dc2f7b5be}}{{cite:1e2792a70100be52d29bf5105e4d2412a9f0f750}}{{cite:9e82491584c... | i | 398e254b2920b95f8251669b654f6343 |
The remaining parameters, namely {{formula:da9c5187-4c11-4601-84ca-90fc4d505f46}} , {{formula:193eb7ec-f98f-44e8-b655-1861502808fc}} and {{formula:1405b63d-46f8-41cc-8f61-ca1078a5e83b}} , will be flavour-dependent. Using eq. (REF ), {{formula:80267c0a-cb72-4fe2-b1e8-7760af4684c4}} can be fixed by the mass of the ligh... | d | 7e974683bd91a642fe3a5a76b224202b |
Recently, the multimodal fusion of point clouds and images has been proven effective in many tasks. For example, in the 3D object detection task, the performance of Lidar and image fusion-based methods usually surpass that of single modal methods {{cite:466ba2a70de9c39a33bdef750d36c5f27bf912bd}}, {{cite:96ed792a915fa4f... | m | 840cc09c0a4645cfaaed890b05b00c7c |
Quantum unknown source encoding. For an independent and identically distributed (i.i.d.) source, Shannon Theorem {{cite:4247e92b6cbef0bbb04d91650684529ca97ddaf5}} characterizes the redundancy information with a fundamental limit that is achievable for a noiseless channel. The main idea is from the asymptotic equipartit... | r | d65f03d141ad8bed935adcd088f1a433 |
This equation is valid in the {{formula:0228227e-a56e-4924-9b7d-a8b13d0d143a}} limit and technically only for certain (distributional) initial conditions; a follow-on paper {{cite:305f8c5cfab894dd716c4d583fdd1aff1020694f}} established under mild assumptions that the manifold in question is attractive and so the above ... | m | 6b9088a77f82d31d9bea8633dcb4b1aa |
We finally claim that this last display is equal to the claimed form in the statement of the result. Let {{formula:f5e4307b-c848-4a68-b415-1e22b221c86f}} be such that {{formula:28df9b60-4c48-425a-8b34-896d1bbb2a94}} . Then there exists a probability measure {{formula:1fb08603-2ebf-47f7-81ff-3a9bc8960fb9}} on {{formu... | r | 4e01ea80df2c721146939f12100ff3d8 |
In real-world applications, novel distortions may emerge in arbitrary order. As a result, a continual learning method for BIQA is expected to be robust to different task orders. In addition to (i@) the default chronological order, we experiment with seven more task orders: (ii@) synthetic and realistic distortions in... | r | 951a637e4250cf0fd7366650b6dfb2ce |
{{formula:e3d5f795-6995-49ef-b88b-b3007bd0d38b}} Single-scale CNN:
It processes {{formula:094bf33d-8ad6-45ae-954c-682d28bf864f}} s at a single magnification. A {{formula:6ee10e98-9724-40b6-84f5-e77dfcb94b3c}} is trained to predict patch-wise cancer subtypes and aggregate the patch-wise predictions to produce a {{form... | m | d119f19596f5bf2945556726fdca15ca |
We considered in this work segmentation of two-dimensional slices from multiple brain images. We believe the proposed approach can extend to three-dimensional, multi-slice segmentation of hippocampus with little difficulty. In fact, the new ADNI 3 studies include hippocampal scans consisting of six to seven slices, and... | d | 8825958d6c0216e030a18489e838704e |
From magnetization scaling analysis we have derived {{formula:89992b1a-a5c1-46e3-972d-4d53a34cd79d}} . This value is small compared with the mean-field Hertz-Millis-Moriya theory either for clean or disordered systems ({{formula:50d50630-3341-4048-aa61-6c11ede55db2}} ) which is usually enhanced via critical fluctuation... | d | 23116d07366107e8cabfaeb5716d57b3 |
The variance and covariance associated with different TSC motifs given in Table REF can be used to calculate the two and three variable MIs using Gaussian framework {{cite:fcf39aaf88c8104fe90f7fbe934b2ceaa6bcfa2c}}, {{cite:5b81c6b1732dbe1cd1c84c5030755a5691a64833}}, {{cite:cee13419796229fbddd5c9aaf025670c1d7a0f65}},
{... | m | 8307b4f91bf8b33df8593ce05ab6da13 |
In this section, we show that {{formula:570188b0-7bd6-4f80-b25a-e1f7903c42cc}} -tuple Domination Problem and Liar's Domination Problem
are W[2]-hard. In {{cite:af70f9ba0becfd50c2c667d1440b94c4d0be5f30}}, it is proved that {{formula:2626525d-24ba-4ad8-aa91-b2691f6a720e}} -domination problem
for any recursive sets {{form... | r | 2d2461a01e759c61fd97dd9cdab9397e |
In this paper we have argued that the thermodynamics of near extremal Kerr geometries for perturbations both to its mass and angular momentum are captured by the Jackiw-Teitelboim model.
We considered change in the extremal mass and angular momenta such that {{formula:1404e54b-c584-441c-a845-a7341893cf03}} for Kerr {{... | d | c5c2fc9b4b7d5d8491ba2c705dc4bcd9 |
Determining all the congruent numbers is an old problem in Number Theory.
There are various sorts of generalizations of the problem,
see for example {{cite:4c4cc654b868fcd22094e0d64f69c01e911897f5}}, {{cite:1d3d4495d1d9d0413ab6ef955b864ed9efb6c3fd}}, {{cite:208130f0d6022e01455c7e5dfb0536e78095f302}}, {{cite:a0b209f0023... | i | 615c19769b3f715358a579b8c479d9f5 |
The broader aim is to determine whether gradient descent would be feasible in an operational context. For this to be the case, it would (at least) need to out-perform the current state-of-the-art data assimilation technique used in forecasting centres worldwide, 4D-Var {{cite:f272316868d8298cc7f8f39d3d61e1ac11048756}},... | d | f3306583af700b5de73896b7fef47be9 |
where {{formula:ca994d83-e3ec-465a-b8c9-21dee0c8fbd1}} is the Frobenius norm or {{formula:2bb2ebf4-46b2-4e1c-b0a9-99aebbef3fff}} matrix norm and {{formula:779c2a0d-a666-457e-b1c4-e5124e1a7861}} is the total number of samples. We come back to the choice of {{formula:e6ab9a89-558b-41c2-ac95-7ccad4e4905a}} in Section ... | m | 34f02640298eb9e499310d6f4046a20d |
are representative of the transversely polarized EM wave absorption by excitons and of the Coulomb-energy losses for longitudinally polarized plasmon excitations, respectively {{cite:ea3d7bd267c481b60419d445237c6b688f3cc9dd}}. From Eqs. (REF ) and (REF ) {{formula:93cb02ce-f301-40eb-a59b-9bf6cb2cfd13}} and {{formula:d... | d | 1cb5a5a73d281d7f701cf1294a038f03 |
TransE {{cite:9fbdeec1e94fcd07cb326afbb92306295e483458}} model is inspired by the intuition from Word2Vec {{cite:16a63a516c803bc5037ab67a2864fcf89a8e0bf4}}, {{cite:47d90c577da8dbcde265118128e5f7feed50d4e1}} that many predicates represent linear translations between entities in the latent embedding space, e.g. {{formula... | i | ff842705c16989425e8c921a7550c9f0 |
The connection between probability theory and PDEs, it is a subject widely analysed since the introduction of the well-known Feynman-Kac formula ({{cite:a1c62a2aa3696d56cceb723efe08279cf2b6fe88}}) that expresses the solution of a large class of second order PDEs of elliptic and parabolic type as the expectation of a di... | i | 2437c551c821bebd5a3889ddb9ebac90 |
There are important questions that we did not address, such as what the reference {{formula:2a6da23d-2804-4833-b7cb-639a845384aa}} represents exactly and how we should describe it from the viewpoint of an observer falling into the black hole {{cite:3d4de40d23bebcfbbcc5f3f41dd2dde2ea61edc5}}, {{cite:1f4a7692a081b13d5ba... | d | 67b1287df02de9c6dfba36cd12323f3f |
By structuring the corrections at a given perturbative order into numerically dominant and subdominant pieces, a substantial gain in terms of
computational efficiency
can be achieved. A natural approach to identify the dominant QCD contributions is through an expansion in the number of colours {{formula:c0e1bfb3-e2f1-4... | i | 11b61c49d14ad7dbadb0784579e429e3 |
Our techniques make use of local electron density differences (DD) and natural orbitals. Our method using natural orbitals (Method 2) showed faster convergence compared to the other method based on localized Kohn-Sham orbitals. Similarly, previous studies {{cite:45afde289f663a39a9b52740679c56167ac06b7a}}, {{cite:5ff862... | d | 338b929c0ca91d0876dd6fe2564250f0 |
The basic statistical approach is to use treatment assignment ({{formula:8f518c92-1f21-44c8-a0f6-eb871daf5581}} )
as an instrumental variable for the potentially endogenous belief
variable {{formula:50784892-9da6-4977-ab01-311dcbbfabd2}} {{cite:dba2cc24ef0a0033eeb9cf2dd35764fb47f47aeb}}, {{cite:14a200401dde3b908a6a397... | m | 2cc52dc52320f753806aa2e8ebc1873a |
It is well known that 2d and QG point vortex dynamics have Hamiltonian structures which provide insight into the dynamical behavior of the vortices. This fact, together with the behavior of the trajectories seen here, leads us to think it likely that QG{{formula:c02b8b2a-8791-4bab-a16f-fa8e51c243cc}} point vortex dyna... | d | f04915e2e956b296fca71ec611d82010 |
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