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On more technical level, Maiolino introduces the transmission spectroscopy as a main exoplanet characterization tool – in the real world this is a commonly used technique that brought up the first direct detections of exoatmospheres {{cite:3cc4e4d48e71a5070e73615d25dfef4a1a17c1bb}}, {{cite:165f17192b97b4e492131a7c69849...
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9341c72523c1c65fd0722be4e399dbd4
Further, we will call a snapshot {{formula:5ad70644-71e1-4644-b02f-d99e78e41367}} reconstructible from observations via {{formula:f567e8fe-e1a0-4739-b7ad-3ce7b6194484}} if it satisfies a particular type of source condition which is sufficient to reconstruct {{formula:7ce788c3-b50a-44bb-b1e4-b5df3661a847}} exactly fr...
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73896a85cc4dc06696b587e52ffce106
(i) PGG In the most well-known and widely accepted version of PGG a cooperator contributes a {{formula:33d3746d-5c95-4865-936f-f4ebbdfc8043}} amount to the common pool, while a defector player does not. The sum of contributions is enlarged and distributed among all group members. The corresponding payoff values of th...
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4228ad589e52fa02c2b40b725974a5f7
Both our methods use the same {{formula:0a1b3be3-e55c-479d-968d-4b05aeabf5ad}} backbone in order to obtain the localization map. This backbone is a ResNet 18 {{cite:ee9bbfec943652357f7f5836763b86dd0ce6b272}} with four blocks with a receptive field is of size {{formula:40b29815-77e3-4fe8-bfc4-4350e3153cbd}} . The Resne...
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48189779e7e63370b1a97c8f53d73db8
Malcev Yang-Baxter equation and {{formula:7657d149-7a59-469c-824d-e6f054efc92b}} -operators. The notion of Malcev bialgebra was introduced by Vershinin in {{cite:9b1c1022af66bd3593d2ce5c8fac254763a31709}} as an analogue of a Lie bialgebra (also see {{cite:942e7612977ecc648f66e5b571a8538941620e3f}}). A class of Malcev b...
i
b092e1b00f87b7ca5598eac664306bf8
Another sequence that arises in this way is the regular paperfolding sequence {{formula:607b0191-05af-4b02-910e-7044cf853132}} defined by {{formula:b6ce4bba-3464-41a0-8c9d-fec010dbdd0c}} and {{formula:eb72afc7-888b-4d6c-a781-e1e363f07245}} (see for example {{cite:4e68f5c2537b0e21c614f248e9e08c15dbf956f1}}). If we le...
r
9e5e956f7dee3adb77837984a79d702b
Next, our achievable scheme based on rate-splitting and superposition coding is combined with binning. This more general scheme requires for its analysis a generalization of the mutual covering lemma of {{cite:b6117960ebbec78e8f7cf029e8144aa737656647}} (see also {{cite:cfd7078c68781a1d57d5ffeefbb4ba64a8b9737f}}) which ...
i
3849f299cd3d4179055534fcd813f35b
Table REF shows the results for the three models we compare (IR, seq2seq, and Transformer) when using word overlap measures such as BLEU@2, which uses unigrams and bigrams only, and ROUGE-L {{cite:b450887a80f860296a3e9736a86def9678c06909}}, which uses Longest Common Subsequence (LCS). {{table:ea435586-0aa0-4109-a1b1-3...
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61b38a5574f6445f1054350dfecfaaeb
The uniform structure of the high-friction flow state in the form of spanwise rollers in figure REF resembles an instability of Kelvin-Helmholtz type. Such instabilities have a profound effect on wall-bounded flows that allow wall transpiration, for example, channels with porous walls or riblets {{cite:bfc5de55efdbad6...
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ff14b47410a2a0ec35ccd703d48a2316
The Electron-Ion Collider at Brookhaven National Laboratory {{cite:0d015d8ea26852a55ce874b23648780a9360c7bb}}, {{cite:b73162f022d69426bb89c9ceaeba924ad4d30ac9}} will open an entirely new window on hadron structure through the use of high-intensity, high-energy electron and ion collisions. A recent proposal for later up...
i
7a06b7e503fc2ab0041fa87fd5dde7ae
A special case of constant modular weights is that all {{formula:e6812b1b-6dc6-452b-ae59-7f4b5ca026a1}} are the same, i.e., a constant. In this special case, the signal sequence {{formula:9cff30ae-7fe2-4c8d-b25c-f82ddfafa11e}} to transmit is the delta sequence, i.e., {{formula:95cff076-ed48-4b22-a992-53a0c77ba012}} ,...
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84db778168710e23575de5f67bd5c224
In recent years, the single HSI super-resolution technologies have attracted increasing attention in remotely sensed data enhancement {{cite:6609379f1baafa9e972cb2e8a79f778111aae387}}. Particularly, Deep Learning (DL)-based single image super-resolution (SISR) methods have achieved significant performance improvement {...
i
5a30b87aa377a78f6f410288cc1507fb
Rapid developments in quantum computing hardware {{cite:19e208f217eb5e1923729b752c174794c7a6a8e7}}, {{cite:6940b82206564d2d9e874a33c7953c7e47b32d46}}, {{cite:5b3ad4ca852d86cfab72d6a9307677cb7daba2cd}} have led to an explosion of interest in near-term applications {{cite:2529915e41da374627295c39bc6888aeb939db61}}, {{cit...
i
18648b66794bb84e3d9feb71f4674580
As described by, for instance, {{cite:9101d104f016f247884b903d3ab9f838a849c01e}}, {{cite:87a129f7fed1865990a7a999e3649bb91ef05968}} and {{cite:ebe455115132f9e7da7b159acb29708ec80d2fd3}}, if {{formula:21b77d6d-ccd1-4375-8393-d95dcdcbd330}} is a majorizer of the convex function {{formula:b56d7c58-d922-4b05-a6c3-74aa36cd...
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39ca412292152270f83c64aee05dbbdc
This subsection will provide detailed discussion about the main difference among the proposed GSRC method, the BM3D mehod{{cite:7ee78bcca2846e3917c373d728de447853a5e31f}}, the NCSR method {{cite:5759df62abec4948dc20337e91e4614bc48787f1}} and most existing NSS prior-based denoising methods.
d
66d6da2e276a9e29215c550e8afe90fc
Moreover, we investigated how the evolution of clouds depends on the parameters {{formula:bb292d2b-6e3e-4a10-8221-a331840f5dc5}} . We found that for a large {{formula:472076f1-4bbd-4a14-b4fc-f6b93f05de69}} , clouds evolve into a quasi-stationary state as we obtained in {{formula:e64662b3-985f-4d3d-b107-8b1daf9786e4}} ...
d
5a166bc4dc924d710cba87aa11fc740d
On the other hand, although some magnetar theories predict the possible existence of QPOs of tens of Hz in SGRB precursor (e.g. {{cite:c0af9f67db04b648895b51cb088848af4f46b9e6}}, {{cite:c8f3c6d4a6c358dd9126df672a37381781d45a93}}, {{cite:27e24cd9d0618cc967466a54b0c535642bfa0c04}}), the duration of the precursors of SGRB...
d
9c0f239112db9e69e383f1c2eb6eaaff
Stockmeyer L.J. and Meyer A.R. have employed the highly ingenious technique for the implementation of this simulation (see the proof of Theorem 4.3 in {{cite:4997b092d99dadf20567db173719381fe6a663bf}}). Their approach permits writing down a polynomially bounded formula for the modeling of the exponential quantity of th...
m
473e10b2033bce60fa80a0a912f7245f
Remark 1.9 The statement of Theorem REF is true for all non-elementary, finitely generated Fuchsian groups {{formula:1281d8e0-8442-4757-b4ad-3970babaaae6}} . For the modular group {{formula:df6e2216-64d6-4f10-b290-60bf16905c3d}} (in which case we have {{formula:9db85ccd-8fc1-474d-adbe-0962d866a9ff}} ) Selberg's famou...
r
99d7a8223468054c72b0b35368c483de
The solution theory of (REF ) is standard and was accomplished by Ito's calculus or martingale problem. The existence and uniqueness of the solution of (REF ) under those initial conditions follow from {{cite:d4b9a751bcf2a9b1bacf76c5b1010c38acd518d7}} (see also {{cite:99c9cf091aa767cacb092bcc692a178789bbc5c6}}). Thanks...
i
2da3a8bd86699966ab7d7c16b85eb144
The most commonly used metrics {{cite:4114bfecf8c626eba6e6b64cc7321e4ff271b9b6}}, {{cite:387064fd32fa42cb63994ceab6eaa1abab8d0817}}, {{cite:c22734455b11ef598a36f06163c8debd4125ee49}} in continual learning literature to evaluate forgetting are the average accuracy {{formula:f4d4eb9f-104e-44eb-a78e-2c0f692efcc2}}
d
2e7025327646e4a46785b9bd89c5f830
We show in Fig. REF the amplitude of {{formula:1e59ae87-d9b8-414f-9333-7c9493e7d697}} and its right-ascension phase as a function of the energy, as expected for the JF12 (left panel) and the JF+Planck (right panel) models and considering only the regular component, the regular plus the striated components or the comp...
d
96429b3957bd43577326ddebf248a9b8
As mentioned before we use joint predictive log-likelihood as a statistical measure of out-of-sample forecasting performance. It gives an indication of how likely the realisation of the modelled variable was conditional on the model parameters. The logarithmic scoring rule is strictly proper but it severely penalises l...
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8c3574d3df71f7c4d4fa24d634a0f4fd
As a conclusion, limited samples sizes and the selection/estimation of any specific model is still an issue in neuroimaging, further when the model and the interaction between model parameters become too complex for an accurate posterior probability estimation, or a feasible numerical computation of the Bayes rule. Giv...
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5845542452919efdf78f7715b92b491b
Sun et al. proposed FuseSeg {{cite:6e0a0beef54bac1211520f4e88e2dd823c6c4103}} employing encoder-decoder structure and two-stage fusion strategy to achieve segmentation in urban scenes. There are two encoders taking three-channel RGB and one-channel thermal images as inputs, and DenseNet-161 {{cite:633c94a1a7b1800a244cc...
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4c8860bbc79badaf80e61feb2bd7bb1c
Color: To compare with our method, we first set up a baseline representing manually bias identification method. In previous studies {{cite:be395af055653cb054aedb7db5d3564747fdf8d0}}, {{cite:d9dc3870ca69f4fd56db3767ac2a9aea6ca0a06d}}, researchers have found that normalizing unwanted color variations aids model performan...
m
b4058ff75c42664ad6e2a344e06ea81d
which is incredibly convenient because the two terms in the expectation are disentangled. We refer to Section 13.3 in {{cite:1582eb8ffe3c4c7ab05a483474e0b71cfdbaefef}} for a proof of this result. It is thus imperative to derive analytical expressions for {{formula:cf6981f2-e805-4388-a910-e94bee7628b5}} as per the foll...
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a7a794487feb759e15aa7dfe475d941c
It is also interesting to investigate the effects of an external magnetic field on the holographic superconductors. One of the major properties of ordinary superconductors is that they exhibit perfect diamagnetism as the temperature is lowered below {{formula:e7ec407f-2b19-400e-8acd-b04c8163790e}} in the presence of a...
i
5a4a980060b8cd19986161321b9e339d
Prompt-to-Prompt. Similar to UniTune, Prompt-to-Prompt {{cite:b39684d589b0c481cd784c8177cb8f47f890abfb}} also explores the problem of editing an image via text manipulation. Prompt-to-Prompt works best on images created by the diffusion model, and shows mixed results with arbitrary images. Also, as the Prompt-to-Prompt...
m
8e92776f36f48fc9cdfd8602e39bc7f0
However, the number of parameters needed in traditional convolution often makes deep learning models too large to apply on devices with low computational capacity. Also, a model with too many parameters probably has a very long training process. For example, VGG has more than 130 million parameters and has been trained...
m
3492170cf08686781414d1f6aecca085
Reinforcement learning (RL) has recently shown many remarkable successes, e.g., in playing Atari and Go at a superhuman level {{cite:24421a27efac59645a878b5185a8765f7ce01c99}}, {{cite:611ae45d3d86f502907687025d786455727570f4}}. Recently, there have been wide research interest and significant advances in robotics learni...
i
4e6e61704cb5bf35bfd7bf0f811e8613
To obtain the full one-loop amplitude we must combine the unitarity cuts. One possibility is to carry this out prior to integration by finding a single integrand with the correct unitarity cuts in all channels {{cite:10f8054a693b00f9f6be3ff5235e999c67a9f6b9}}. Some non-trivial examples where this approach was implement...
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5d38ef7f9e0fef724dc1f60c5a04827b
The very high EM3 honeycomb code threshold stems from three factors. First, two-local codes benefit greatly from a two-body measurement circuit architecture. Because of their two-locality, we can measure the data qubits directly without decomposing the effective measurement into a product of noisy gates. The result is ...
r
8aa1b03af56152fbe90d013ce1687bd8
From Eq.(REF ), it is readily shown that piezoelectric materials presenting large (small) {{formula:6f4916ca-3d05-4dbe-9003-694d59280c56}} coefficients [Eq.(REF )] will offer great (poor) band-alignment tunability as driven by uniaxial strain. Consequently, piezoelectric materials possessing energy band gaps in the ra...
r
8a7df4377acb95fa53f87a57f61a7283
The idea of modulating a prediction error appears elsewhere in machine learning literature, and modulating the error in different ways or by different signals produces different effects. Here we have shown that modulating reward prediction error by action probability creates a human-like adaptation-to-change effect, in...
d
d0beb90e337490f77dd3614fa8fd81dd
Counterfactual queries aim at inferring the impact of a treatment conditioned on another observed treatment outcome.Typically, given an individual, a treatment assignment, and a treatment outcome, the counterfactual question asks what would have happened to that individual, had it been given another treatment, everythi...
i
fece946adc1ce670fe000dd54e2fd3d0
Here we suppose that the coefficients of (REF ) are rational functions. As in the proof of theorem REF , we multiply {{formula:acfaabd3-317e-4119-800d-cec004247322}} on both sides of (REF ) with {{formula:46c3d03b-2e7a-4e00-ab96-747308e97f55}} and integrate the resulting equation to define an auxiliary function {{for...
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5c442999df275af761439c84e75d9dc8
We find the lensing of fractional excitations to be a convenient picture for understanding the photon echo in the Luttinger spin liquid. A crucial feature of the lensing is the refocusing of the wave packets world lines, reminiscent of the refocusing of quantum phase accumulation in the NMR spin echo or photon echo in ...
d
223538b359335c8a55f269c9bed2cb4f
In this work, we build independent emulators at each redshift ({{formula:144e4efe-5922-42ab-a82a-a8e583bfeed9}} ). Note that Ref. {{cite:ee98fafd9a9255691643f31ba11874111bcc84ae}} took a different approach by adding {{formula:c9b96b11-dc99-4d54-ba16-1b77abf6faea}} as an additional emulation parameter. We follow the st...
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Fig. REF shows the qualitative result. Orange and blue bounding boxes represent ground truth and predictions respectively. As shown in Fig. REF , both PETR {{cite:c0531726c2f4ed25664b7ad366dc941f6777606b}} with ResNet50 backbone {{cite:799fe261c3a869a70c59a4c516c6ef68164bad5e}} and PETR {{cite:c0531726c2f4ed25664b7ad3...
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8c8dc88cbe26e2390a21df2d381c6cef
We review the various concepts of tangent and normal cones below (see, e.g., {{cite:7a81592b38c9f1910a0aaff689e216ee5981545e}}, {{cite:db05f9e66be15f9ad6f31f0a78b9c9446ea5602a}}, {{cite:803ff79442d655c20d500f377e9429ddb1f58afe}}, {{cite:fd495d2b2cb58f55c157cb972d60b8c5306028e0}} and {{cite:df846b807b613337f1995b6e1d4f9...
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9d7a4320197a02b112edc93fd8db5d4f
Because each cell can have a different structure in proxyless setting, we demonstrate only two typical types of cell structure among all of them in Figure REF a and Figure REF b. The first type is a chain-like structure where only one path exists in the cell connecting the input of the cell to its output. The second ty...
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35640ae0c63315ef10f6ca328425b293
Actually, our method can be modified to take external labels into account. To achieve this, we replace the predicted action classes in Eq. (REF ) with the external action labels. Specifically, given an input video, we use UntrimmedNet to predict the top-2 video-level classes and assign these classes to all the proposal...
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fde50f3afc08403cee165156fd2e338a
To evaluate the performance of the proposed algorithm, we consider {{formula:9e0f9d54-5ce6-4d8f-b063-21a0198d5aa7}} DRL agents in two different classic control environments: Cartpole-v0 and Acrobot-v1 of Open-AI Gyms {{cite:28beca5fa271e5a4b7e5dafc179cadbd9890bffc}}. The Cartpole-v0 consists of a cart that can be move...
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2a2e4a0d0924620b6375fc5c5c9e3e19
In this section, we present our tentative results on future LHC reach at {{formula:2b3ebd99-cb31-41b4-ae8b-df254f23c47f}} for the non-minimal UED scenarios with/without {{formula:00027483-ab55-4ad7-98d4-71f7efc966dc}} coupling enhancement. We work with four benchmark points of the universal BLKTs for 5D quarks and le...
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61881439056ee55c38c132f30af840bf
where the “singular value” {{formula:97ed83fe-80cc-4e1b-96e7-eb879037fbfa}} is a scalar, and “singular vectors” {{formula:92f1e535-32f5-49a2-9a3b-2a66cbaaf9df}} s are unit length vectors in {{formula:9a6e1fb6-f262-4bfc-8f96-0a2422c114dd}} , and {{formula:16a6d862-f50a-4805-8996-0fcbe7eefbde}} is a noise tensor whose ...
i
cee7af12dd56afb0de3e58ee89fb9c87
We comprehensively evaluate our model on widely used eight benchmark FGVC datasets: Aircraft {{cite:e3a4fad85c92e34ad1e4e0258e1f32a5b94f612d}}, Food-101 {{cite:8a9f1eee27484f2e784860d14419206b7791fc13}}, Stanford Cars {{cite:7b37a1150b0cf745ee298add0c8ad44dddae8456}}, Stanford Dogs {{cite:e755041e90ad76b7a19b70b2aa8ae1...
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096a18014278e707034fd507f9b153a7
For quantitative evaluation, we manually generated holes with random size and positions on normal slices of the testing subjects. Therefore, the ground truth is known. The inpainted images were expected to have sharp and realistic looking textures, be coherent with {{formula:0612501c-f759-47ba-ad90-d74379c2646e}} , and...
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f4a43f7e199c3aa4db08ac41854ac7ff
The cause of the high electron density values associated with the shock excitation region in interacting galaxies is essential to understand how the flux gas works in them. High-velocity gas motions can destroy molecular clouds and quench star formation {{cite:921af0adea4cf97baa9dc3643bd8d27358555cfb}}. To investigate ...
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fe9ad6ca9cc0a3ccaafb1f67c8fa131b
Regression problems correspond to the setting where the outcome {{formula:432002d2-bf02-4de7-90ba-943ad252b0bc}} is real valued, the predicted value for {{formula:f98ed587-3914-49ef-96bc-8bfba4ffc545}} is {{formula:423215c3-0bf9-4554-bc5c-6f013d397564}} . The linear regression or least squares problem corresponds to ...
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d02e6beac6c6cf8c5b36b4b492571006
In the present work we have investigated the innermost regions of the OJ 287 jet, where the VHE {{formula:cb2e2188-ad4f-453f-bbae-6cd5d4e49f94}} rays are thought to be produced, by means of high-resolution millimeter-VLBI observations with the GMVA. One of the main findings is that during the MJD 57158 (March 31, 2017...
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cb74ac241c4fce898cf7291630b84e4d
Note, an advantage of dynamic pruning methods is that the pruning is performed during the training itself, although we have seen in Table REF , better results are obtained when pruning is performed post-training. Current dynamic pruning methods like DPF {{cite:d58da47a67a1e9965cc2de216a9085e8517b568f}} prune via global...
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64e683911abc40f8e28bca81bb91de33
For large enough {{formula:b9005775-ef15-4fe8-af4f-875759052f8f}} , the fact that rank- and tree-width are vertex-Lipschitz functions imply that these parameters are tightly concentrated about their mean, for example using the Azuma-Hoeffding inequality, see e.g., {{cite:f5bb598d092a07b40c92dd1e0460d6ea52c3e035}}. Howe...
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253a089b6681ed6f80f0fe02b347419c
Let us consider the behavior of the current density in the asymptotic regions of the coordinate {{formula:3c687bd4-8ca4-49ed-bd4e-a7e7ca6ed142}} . For points near the Rindler horizon one has {{formula:2db186d5-7bfc-40d4-965b-cc5ba912b437}} . In this limit it is convenient to use the representation (REF ). Directly putt...
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cea6a19636d542af641e11197892a0ef
One may be interested in combining the proposed method RoLT with other loss functions. In particular, we attempt to optimize LDAM loss {{cite:a211d747724bda880064551a22a55ad5827e835a}} during training and the results are reported in the supplementary material. Indeed, LDAM encourages the model to yield balanced classif...
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4b9641b9517a8725e59256e573874b2e
One major issue with the application of FL is the performance degradation that occurs with heterogeneous data. This refers to settings in which data is not independent and identically distributed (non-IID) across clients. The drop in performance is seen to be caused by a disagreement in local optima. That is, because d...
i
6d05232aa21128f7bcb0928ebe39e77b
Consider the same setup as in ssec:elbofeedback. Let {{formula:3f1b3cce-7870-4fb2-9816-f47ae625046f}} ({{formula:fc69731a-8dc9-4df5-8d3d-12ad774409af}} ) be feature maps (before any nonlinear activation function) of the last convolutional layer (forward direction) obtained by forward passing {{formula:1cf476af-257c-41...
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25b2a47e961cb29e58a8c8e4e5e0b4fa
Remark. If Finiteness of Central Configurations is true {{cite:3aff09cb5e0e2f79e9fc7610b35c54e41a90d0e9}}, {{cite:e59f42898fb885da7738fc6007fe8e3d1c1a5d11}}, {{cite:00d5e945ff72ed8c780586d83f0bbbf6be598350}}, the proposition is obvious. But we don't need this hypothesis here.
i
d33a3469db8cfd8dd3dd1406c73fe575
Finally, it is interesting to remark the presence of an additional high-velocity ejection almost orthogonal to the main one. While astonishing, this is not uncommon among PNe, with examples of collimated outflows almost orthogonal {{cite:ed10e8b42c1d43a1981db1da19b666f0d3c90d22}} or along very different directions {{ci...
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cf04c1863c44ee8b56fc7c844b029610
Consistency with the Existing Experimental Results. Our results stand with existing experimental observations. Specifically, {{cite:7652d99476039367efc43f36636fe23ddc9aa5ef}} conduct experiments using GD and GDM on the same linear separable data (c.f., Figure 1 in {{cite:7652d99476039367efc43f36636fe23ddc9aa5ef}}), and...
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36345f66d51d7567ef8c8812411a840a
By Theorem 12.2 in {{cite:11efc2e3581d2c68287741b2e7c5c178be454735}}, we have the inverse Legendre-Fenchel transform of (REF ): {{formula:5312034c-7015-49b5-a4b5-e903e9dc82df}}
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ad8adcd2b2295cd52519362ce7dad48b
Discussion: Reproducibility. While the neural recommendation models have dominated in the recommendation field and claimed substantial improvements over previous models, recent efforts raise questions about their reproducibility and published claims {{cite:9c2c6daff9a4b8937c18472149d795d197035000}}, {{cite:fada17ca6fd2...
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Shape-Invariant Representation.   To translate between objects of different shapes and texture, we use JOKR as a bottleneck. As manual keypoint annotation is not always available (see Section ), we use an unsupervised keypoint extractor {{formula:1fa4998f-a475-4502-a015-e2842376311b}} , similar to previous work  {{cite...
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d5a496c092f49acc4b2efa27195468f5
For future use, we record here that the proof of the lower bounds in (REF ) is based on a key lemma from {{cite:bd96e543053b278c7e9dc5c8047cbd412999aef0}} showing Lusin-Lipschitz regularity of the flow of a Sobolev velocity field, in the form of a quantitative bound:
i
a597b4cf798651c686ddf6d87611fb52
Adversarial Attacks and Defenses. {{cite:f831d7b6cf1975f3edc42630fcf43fc9e507ad42}}, {{cite:cded5d79291f1ff1fdd09f7b776f2b687c09fc3f}} pointed out the vulnerability of DNNs to adversarial examples, and proposed an efficient attack, the FGSM, to generate such examples. Since then, as increasingly strong adversaries {{ci...
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cdf6cc42ed83ed77e4e0951116933fd7
We evaluate the impact of changing the required rates at the users ({{formula:5e633bf0-c779-4103-b150-17b6e095e9ba}} ), the number of users, and the location of both the relay and the RIS on the required total power of the system. In all figures, we compare the proposed system and the baselines discussed in Sec. REF . ...
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Of course, many situations involve both types of neurons. Nevertheless, there are some situations only involving a single type. For example, theta-wave neuronal oscillations in the hippocampus are thought to play a considerable role in memory formation and spatial navigation {{cite:fbe7f8b0b62ed8126381a49e6dc685b66bb74...
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In order to measure the performance of proposed method on different PSNR targets, we plugged our method on the pre-trained model in {{cite:bf1a0307957a419e834ff37288c070dec902a105}} for the factorized entropy and the best neural compressing model cheng2020-anchor {{cite:7a02cfdbe6b406b91f72ab4b8a9d6fcbd9173c8b}} provid...
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Lemma 3.3 ({{cite:3d0c242bce05a378659d6724470143f58ae0673e}}) There exist constants {{formula:aceff6ca-e7eb-41da-9cac-de3c05976a78}} such that for all {{formula:a4200df2-5e9b-43a5-be63-918711ec75d6}} we have the following vector inequalities for {{formula:9c121b31-03e0-438e-bb34-83eef1d60957}} {{formula:48ca31f2-12f...
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In this experiment we performed target area segmentation with Fast-SCNN, a Fully Convolution Network and our model. Input images were down-sampled four times to 320 by 240 for efficiency. All training was performed on a single NVIDIA RTX 1060 and the inference time analyses were done on the same GPU. The experiment was...
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acd5aed1f20e4dfa9e35fc983cf01e80
Another key result emerging from our study is a very clear picture of the differences between the stellar populations of the nuclei and the galactic main bodies of the dEs. To our knowledge, no spectroscopic study has yet performed such a comparison with a similar sample size. Studies based on color differences ({{cite...
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In Equations 1 and 2 in the main paper, we define bias as the absolute difference between the verification TPRs of two groups at a given FPR. However, it possible that a sensitive attribute consists of more than two categories. For instance, the skintone attribute consists of three categories: Light, medium, dark. In t...
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9782fd2d10979817b61f13d6b68dfa5f
The presentation of the ensemble Kalman filter as a smart optimization tool is also developed in {{cite:847cf9a1b03f11b523de2967fd35d7c461d4ac63}}, but the derivation of the update equations in a space whose dimension is that of the ensemble is not described there. The analysis of ensemble methods is difficult and theo...
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Recently, considerable research has been devoted to Multi-Task Learning (MTL), a problem of improving the generalization performance of multiple tasks by utilizing the shared information among them. MTL has been widely-used in various applications, such as natural language processing {{cite:8bc7332bb6e0055bc3d57abec229...
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4d897fa3db665aaf12aabc0ab7e9b864
This theorem, which is established in {{cite:c9e7bd1ac942107c65da0104a1ccd570fed7109b}}, may be generalized to the case in which {{formula:d41fd286-a1ce-4e62-b125-bf0007702746}} has a boundary of nonpositive mean curvature, where the mean curvature is computed with respect to the normal pointing towards the asymptotic...
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20fb1b7a582f290f5875ea2bdf4928e5
The numerical results in Figure REF ,REF and REF tantalizingly remind one of the Farey seriesThe definition of Farey series of order {{formula:ed9c262f-38d3-406e-9e27-2099d75648bd}} , denoted by {{formula:ecb9c292-e111-471f-ba27-f62fa3d43300}} , is the set of reduced fractions in the closed interval {{formula:70e50f8...
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Notation. By using {{formula:52e3bfcc-9650-493a-87a7-65546a707d28}} and {{formula:7ffad9b8-e2ab-499f-b25c-43ce8b1d31db}} , we will denote positive integers such that {{formula:cfac1941-af26-45f9-a76d-492e6fb6f505}} is the power of a prime number. For integers {{formula:34e3159f-1b14-4fb3-88e8-c000645cb58e}} and {{fo...
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In Fig. REF we show the evolutionary path of the star and its wind, that we use in the simulations. The stellar mass (panel a, in {{formula:45131fce-dea8-4036-ac27-fe535a3c5ae2}} ), the mass-loss rate (panel b, in {{formula:a1e1eedc-8b68-4251-a3af-d42890b672d2}} ), and the terminal wind velocity (panel c, in {{formula...
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79640eba1f41a7a62db7e6553b3b583c
The proposed method is based on the following three insights: First, to tackle the large variation of drones and background scenes, data augmentation which maintains the video information in a short clip creates challenging scenarios; Second, due to real time applications and tiny object sizes, a fast and multi-scale, ...
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3660351f4ab297ac14c21f85369422c1
The formulation of the coupled Burgers equation is taken from the work of {{cite:97d3d97363cae3f2aeb045e58ed3786169bd6a01}}. The training data used was obtained from a FEM Fenics solver. Each simulation progresses for 100-time steps, with 3600 simulations used as data. The length sequence {{formula:7a7cfc78-ef7d-496a-a...
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where {{formula:ee9166a4-cf4e-450b-aa32-d87bf3f86c20}} is the risk factor, {{formula:4ead50f9-f43b-4e69-8e7d-3403f2dde6eb}} are the genetic variants, {{formula:ad946f17-cad2-41cd-89ed-90706bf82767}} is the outcome, {{formula:7211fc9a-7c62-47ec-83a5-6d8ba5460b59}} is an unmeasured confounder, {{formula:15a4e9dc-d26...
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fig:summary shows summary statistics for the {{formula:15a8240f-8d3a-4f3b-a7d5-edc4263f230d}} instance of the (REF ) game for three different exploration profiles. The panels in the leftmost column show the equilibria (top) and utilities (bottom) of the 7 agents in 100 runs when {{formula:e311c707-fea8-4216-83f9-2e4e7...
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7e53e53dd6cecdde3ecb931c72eecde9
In Fig. REF , we give comparison results under one roof for a blurred image corresponding to steering rate of 60 deg/sec. It is amply evident that the results of our method (shown in b and c) yield best performance consistently across Wiener filter, RL as well as {{cite:63753dc2c2a0d86ebe94a7195291258125ebb052}}. From ...
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2fa53f3bd4b1e9b60febc078550f077c
First, in order to solve Problem REF , we seek a fixed point of map {{formula:18a66a34-4f28-4bc4-a506-f8b13d75d5cf}} . We use the Schauder fixed point theorem (cf. Gilbarg-Trudinger {{cite:cf47af3d98eda5b8b353818cbaa922b5aac088fb}}) in the following setting:
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629ef567a2b3ff225cf28b496d065445
The conceptual foundation of our model is the basic fact that human diseases are rarely the consequence of a single defective gene, but the result of complex interactions within the cellular-molecular network {{cite:227f7fb4edfd6eeeca88279bf8a9a22d3f6a545d}}. The disease phenotype is hence a result of different and mut...
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e47a16ac97f0ed9ddb02aae7f86e66f4
In this subsection, we discuss how to approximate {{formula:44cc8b41-3c82-4fc2-b09c-6af022576276}} based on Hutchinson's estimation {{cite:8a8119336363c4b2c0ad239430ab25721d1d5cc3}}, {{cite:898c3827ca900d023a10f622f42f0e12dbbcf29d}}, a technique from randomized numerical linear algebra. Assume that {{formula:ab6aa85f-...
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Another doubly-robust method originally intended for generalizing experimental data is an augmented estimator which combines a treatment, sampling, and outcome model, similar to the clever covariates found in TMLE {{cite:15959be061cff107cea8afddfc3c5507c6722c60}}. We present the augmented approach with slight alteratio...
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b987b2bcbebae35f457e006973a8f29a
Tidal deformations of self-gravitating compact objects stand as key gravitational-wave observables to test General Relativity (GR) in the strong field regime. In a coalescing binary system, the deformability properties of the compact objects affect the gravitational wave signal at sub-leading post-Newtonian order throu...
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f05bb50d5447a79f9db2b7c7004249dd
The difficulty in simulating and training snn originates from multiple factors. First, time is an indispensable component of the functional form of a snn, as even individual stimuli and their associated outputs are spatiotemporal spike patterns, rather than simple spatial activation vectors. This fundamental difference...
i
4f35f11e43f403183b61269f8951b7ca
During the past two decades, an impressive experimental and theoretical effort has been invested in generating and exploring a new form of matter called Quark-Gluon Plasma (QGP) {{cite:358aa639d927241e24a0d7a1b9903068c2306c06}}, {{cite:a9910470a76ca706dabe501231f67f4a6fe2f0c6}}, {{cite:3b152ba7da5f6a80ab03f3693c4b05f05...
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f7df6ed3e0da6ff2d82f3678b1443d7e
It remains to be seen whether a more sparse version of IQP sampling can be devised while retaining its classical hardness. Standard tensor network contraction techniques would allow any output probability of the above circuits on a square lattice to be classically computed in time {{formula:02ba0f7e-2d2b-4d98-a6b8-757c...
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624bb4629c9d88b454d5e732c70b50c8
The {{formula:e9648d35-6447-4fce-997d-f64db17995ce}} mesons with charm quark and the {{formula:8c373943-4663-421b-9d2e-5400fc91ab53}} mesons with bottom quark are typical heavy-light mesons, which is structurally analogous to a the hydrogen-like atoms( the singly light antiquark and the heavy quark resemble the extra...
i
1fdb61021f7e29936625746d936efab2
The stability analysis of rotating equilibria shows similar behavior to straight periodic sheets {{cite:40580da58db377c40e222bd5b6f6eb67adb0d1cb}} and circular sheets {{cite:cd8240de8dedaf26399eda9ca5cbd37c051de6a1}}. More specifically, there is a countably infinite family of unstable modes with growth rates increasing...
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7d3c7fd29aa4dc89b667e3b1ae98c689
The variance structures considered throughout this article by no means exclusively encompass all the possibilities, merely a few which exhibit well-studied conjugacy. Other structures, such as AR(1) with stationarity, and compound symmetry as required by the assumptions of repeated-measures ANOVA, do not (knowingly) as...
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9557b3bd0918a73e68ed57ce4265d993
NSEdit has achieved a new state-of-the-art performance on the code repair task of the CodeXGLUE benchmark {{cite:e48a4c0e5416a4b58b623059543ea810fbdb5d47}}, {{cite:0377e1424eb02001eba4fe0a3959aaabe45c5d5e}}. For code repair, it is more effective to predict editing sequences than fixed code.
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f8843557f7e8366f950fc8945a4833aa
The presented method relies on computing the displacements of dots of a pattern via a cross-correlation method. In the present study, the configuration of the interrogation windows of size decreasing down to {{formula:13497212-00c2-4e71-b53d-515e2ac8ff7e}} pixel{{formula:bede029d-561f-4941-9cf4-8cef3cb6d6b3}} with {{...
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83b566bb47e8bf16f2e594f2d498ac06
The sample stars are selected from the APOGEE DR16 dataset {{cite:149c13fdefec6d8aa798ccc87db884248ad5e25c}} with parallaxes and proper motions taken from Gaia DR2 {{cite:3397e8f05af2f628301fb2bb22dedba8d6689d9f}}. We have removed stars with ASCAPFLAG or STARFLAG warnings and stars with {{formula:d993197a-f9b2-43c0-a08...
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In this section we introduce the basic definitions and some identities that we use throughout this paper. The definitions of terms we do not define, but appear in this paper can be found in {{cite:630ada057fe710998a2a8f9349c9db98b2416b6b}} or {{cite:8a55235c7fa0a2baa21959afa49c272188793732}}. For a positive integer {{f...
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b754d9e9b63803f5a29f9890cc229084
For our empirical analysis, 10 sets of randomly sampled initial parameters for each of the six model types, blackbox, constr. blackbox , {{formula:74253312-2616-4aed-8274-8d52aa4aa37d}} , {{formula:b907afe7-329e-4c90-add8-949e105947c3}} , {{formula:17f52631-ee27-473e-96fd-4469bea024bb}} , and graybox, were fit to the t...
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cb448be0fec9ac91b00e4dbb734a92ee
Since {{formula:5f8a0a2b-0888-46bf-a05f-2e508f43aea9}} and {{formula:92464a71-bd1d-4974-83fa-7124fb3db38c}} are strongly semismooth by Appendix A and the composition of strongly semismooth mappings is strongly semismooth by {{cite:6cf307c9062cd79f824297c53a74a5b232c2cbc5}}, the mapping {{formula:f874cb5f-d9b0-41f0-ae...
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76a4fc983adb0e12b12278d579d598d4