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We develop the theory of hEP and prove that this allows computing exact gradients locally at synapses from finite teaching signal amplitudes of adiabatic oscillations. We numerically quantify the accuracy of our estimate and show that it outperforms classic EP, especially in the presence of substrate noise and in dee...
i
4d6a6468bf6a6400cfb5e56c94a069ab
Machine learning has shown great success in building models for pattern recognition in domains ranging from computer vision {{cite:325a34f74e2e83e28960fd0bca20fbdc5b4a02b3}} over speech recognition {{cite:085cacffe2adcde13c3b256dbec1d1b8edcfecf3}} and text understanding {{cite:19bed7236392743bf306fdb7e62b8ad73a7242b9}}...
i
201e26ec42ed4c3d803e1ddcea1c64d3
Many stain normalization methods are based on generative adversarial networks (GANs). In short, GANs are suitable for conducting image-to-image translation {{cite:58a82d16606957719ca84823ef3f72a00d91c7ac}} tasks in which images of one group (i.e., a "style") can be transformed into one of another group. Note that GAN-b...
m
ba23e013a6e05cec83697bd494eed1ea
The existence of a suitable enlargement {{formula:8d7d1105-3fde-4ff1-a517-61641af72046}} such that {{formula:3297d96a-d386-49e8-badb-a97be1d19ff6}} is guaranteed by smoothness. In particular, following the analogous setup for ODEs in {{cite:502e90f6369ab40a8e05fa81010bd21761a20dcb}}, {{cite:dbe5fcbf7cab45c1b36950cdab...
r
b995a905b3cffdf9a07ae10bd80f7f9c
One important concern about this proposed scenario is the comparison with previous transport results. Albeit previous reports show that even bulk Bi{{formula:780001b2-a111-420a-960d-c93c5b685b55}} Se{{formula:a8113b86-1145-4cbe-81d6-91ada7ba0c4a}} samples have a WAL effect at low fields, and thinner samples have a mor...
d
ee4e68980d39a556d0d307ae1243df9c
XLM-RoBERTa We also applied the XLM-RoBERTa model {{cite:cb527f03b5cef2922a2c94e8133e4ca3354e3a36}}, a multilingual version of RoBERTa {{cite:88034746e8fc21d4a7b0b277c3990be164a32306}}, within the Hugging Face Transformers framework. Similar to BERT, it was adapted for the NER task, by reinitializing the output layer a...
m
393cceb4f3ec6e3b0f10e9fa6960b8a4
Opposed to the behavior during training, we do not randomly sample from the probability distribution of the actor during deployment. We instead take the mean of the distribution for the continuous case and the mode for the discrete one. This is reasonable and best practice {{cite:0d4aad5b1ae6fd28d1c98c9b04af0d5b309399b...
r
9f1dc8155ea981cddfec49427b69b6c9
In this section we will show there is no {{formula:e7d69686-7ea3-4368-a723-55896f0fe551}} -size estimator with {{formula:03d0b49b-1a05-4251-b573-a0a9b9dd59b0}} that can achieve the minimax rate when estimating {{formula:ddae052b-1376-4543-88be-dbdc9f8075e4}} . We first recall the metric entropy of a Sobolev ellipsoid ...
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7dbff015502b5442e242b17c1dec2e2f
({{formula:182c4715-420d-470c-8a18-46cd8aa09da4}} ) that indicates when the group intersection {{formula:f5680e91-14bc-401b-b6c7-549350bdb8cb}} is faulty. Building upon these new abstractions, we identify the weakest failure detector for genuine atomic multicast and also for several key variations of this problem. Our...
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16ea0cae2dd11e2009dc7f447cad0d43
Generalization.       The generalizability and difficulty of datasets play a crucial role in both training and assessing different algorithms {{cite:e07fa09d07dffd39016e9a86f9cf5529606ce4c9}}. Hence, we study these aspects for existing COD datasets, using the cross-dataset analysis method {{cite:1f0b38e4e67f81afda07161...
r
a94eff57d843dea2de4d624e9798cbb7
For ease of notation, distributions of the type {{formula:7d58a95c-be46-424f-a198-948a661c01cb}} are simplified to {{formula:193c882b-f9de-4dfb-b3b5-a7be91a24d77}} throughout the remainder of this paper. Since other metrics that promote diversity were able to give satisfying results with only the first two moments of...
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4bb73c3a9f78b79173ec55b7d620afaa
Toward this goal, several methods have attempted to manipulate images with a text condition which conveys the desired style. Using pre-trained text-image embedding models, these method usually deliver semantic information of text condition to the visual domain. However, these methods often have disadvantages in that se...
i
d951cbaab31f41d736dd975472e1300c
For training purposes it is also essential to be able to generate the {{formula:dae47367-9068-4280-9aef-fa0cbdc82583}} matrix associated with a given density matrix {{formula:66ccafe8-4a24-4db6-b117-211b29b03f85}} . This can be accomplished using the methods of {{cite:3977e0379b595fcb4bfdae778bcf395867b8d1e0}} given b...
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7a9b819181238fd80f734939a0753d2d
This work presents a Python library for XAI enabling neural networks to solve and explain a categorical learning problem integrating elements from deep learning and logic. Differently from vanilla neural architectures, these models can be directly interpreted by means of a set of FOL formulas. In order to implement suc...
i
db1cdfd0d4c31abbab0558a7965c5034
Metric-Measure Fields. We study metric-measure fields ({{formula:4dfb25cf-5fdb-4648-8488-f5335ba3510a}} -fields), that is, 1-Lipschitz functions {{formula:dc026dfe-6f83-4105-91eb-d32b500d2c3f}} between Polish spaces, where {{formula:ca981333-0ad1-40f8-ab6d-715d054b0a57}} is also equipped with a Borel probability meas...
r
2c4ba732e396cb7e146f8a34dd9f1c87
To overcome the limitations of traditional methods, QSM reconstruction algorithms based on deep learning have been investigated. Yoon et al. {{cite:35289318aeb4cfffd8b81b977f8caf614795dbf6}} and Bollman et al. {{cite:5a53d048c1f843c3dc22cd75c567c68f267da194}} proposed QSMnet and deepQSM, respectively, which are 3D U-ne...
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ca299d39afe50fc2dcde08ccf7d12f1e
Given the complexities that influence human mobility – heterogeneous distributions of population and services, transportation, geography, etc. – one would not expect urban commuting to obey universal patterns that can be explained by a simple microscopic model. This universality is likely due to mobility constraints th...
d
3138581c11513952c6cadef8cf861fff
Performance of the proposed methodology is illustrated through computational experiments on a 3.6 GHz Intel Core i7-4790 CPU with 32 GB RAM. Optimization tasks are solved using YALMIP and Gurobi {{cite:11c20ac86d7b90486cc7bfd14460d8c71f8dea38}}, {{cite:373f6ea2a5c88e0663b888f1950cce5392bdc1f1}}.
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4cfd406bdbd849d39a1a2414c9442a71
The obtained value of current Hubble Parameter ({{formula:723521fd-c80c-4278-a86e-ce9c53558a4c}} ) differ for the two dataset, further contributing to the Hubble tension. The {{formula:ddcbea48-e62f-4a9b-9203-8467b218f143}} data supports lower values of {{formula:966d01f9-3542-429a-8a7b-b11a36fafb55}} which is in con...
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b0a578142bf517f27feaf3582826dea2
GRB 170817A was 2 to 6 orders of magnitude less energetic than other GRB {{cite:d1ba3d50f1cb453945499d3d8a756fc61854138f}}; the low luminosity of this source, together with the evolution of the X-ray and radio light curve {{cite:271fe6b7ff3e8966ebea367db2af1b089397a5cf}}, {{cite:f6165deffb960b3e1b481d0408c667222e701d07...
i
48a2a582fb026b19ead2a2c4981b07d4
In Section we compare our results for ALUE with earlier results about a chiral ensemble in {{cite:2739372d03b15fbd7e0d1e1f063fff54dcc0eae0}}, {{cite:42366c44f1fb8491523699b420c46d963bd94467}}. We also relate our results with some other point fields appearing in {{cite:7e58f403af8a3ddba9d943e8218814a6111e94c6}}, {{cite...
r
1fe805502965ee54475109fd187c7fb1
Lie superalgebras have applications in many areas of Mathematics and Theoretical Physics as they can be used to describe supersymmetry. Kac {{cite:cb84e009970eae4a22cb817524bbbea7357c09dd}} gives a comprehensive description of the mathematical theory of Lie superalgebras, and establishes the classification of all finit...
i
3eda3a440839872f6b176c1f6a493c17
Three decades after the concept had been proposed, weak value amplification (WVA){{cite:d7779e3eeae2b9078d4c71af14a5e9beaa8ac05b}} has recently become a useful technique for optical metrology{{cite:b1d4bc9d52a9e2909fd6280a78877a4e5b3f05ac}}, {{cite:2638d4435a6df3a64b5c39eeb3dc3412612b95ac}}, {{cite:2ae5ee0ea2d5e3373974...
i
9947b238af78a669c195983fb91eb841
Table REF summarizes the accuracy results of the proposed framework on ETH-80 database. In order to perform a direct comparison with the methods employed in {{cite:26e1686d8380705913b1da0bc5c4a6ce77b5dfb5}}, the same setup is adopted. Precisely, the same 6 categories (apples, cars, cows, cups, horses, and tomatoes) ar...
d
780987e20ff1e87f1cb4a2367a9dc9f0
The first experiment considers OMP, BP ({{cite:879ab749d7085a797b0ab824f19645bba01e70d9}}), and Compressive Sampling Matching Pursuit (CoSaMP, {{cite:564854cd1a6ca323c5b15b542469070fa94df246}}) as baseline algorithms. Results show that a few (five) iterations of LiRE increases and never decreases the average percentag...
i
048ec95cbe2667c82dbf3f64e040b37b
Our proof of Proposition REF is closely in line with the proof of Proposition 4.1 of {{cite:d3c6540e9698c53d208f4a51262fc67b0f95a6a8}}. It will use a Laplace transform formula for {{formula:6b39f420-883e-4cc3-9392-bfe4a5feec88}} proved in {{cite:6b9d6bfd2a62a67f638e7023e5d2205540558aec}}. It connects {{formula:9e5cc3...
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ed66b39375d7fac800bf789ab64e6ce6
This section presents the implementation details and compares our method with the state-of-the-art frameworks on benchmark datasets for various tasks, including ShapeNet Parts (object part segmentation) {{cite:56d03801c5d79a52ddd7988fea472fb77bfae16f}}, S3DIS (indoor scene segmentation) {{cite:edab05cd6f1b05f00010f2afc...
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a998e6c2bf02e2227eb12baf8470e0e4
We employ our transformation on several datasets of different vision tasks to validate its advantages and generalization ability. The implementation of knowledge distillation methods are from their source code except FitNets{{cite:5bacb1b42c3b4705554e603b9e12c7752cef914b}}, and we reproduced FitNets for comparison. {{t...
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e65962c7e174176d03eeb2e7e2b9f9ed
Random projection dynamics. There is a general consensus that the ESN model operates closes to the optimal situation when the projection is close to the edge of chaos {{cite:28e6b760ac759a58c2cc34b1c2adc2c6f66a9816}}, {{cite:a506c125966ab15a9bfd2d045f7828944b216956}}, {{cite:92989e01ad2cd94df2a7b349a7ec5724da9376a0}}....
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1f8a3d41dc82d5c305978e6e3c4f8acf
The statistics of the radiation field, or photon statistics, begun with the seminal paper by Hanbury-Brown and Twiss for stellar size measurements {{cite:4fd19dc7adf5a71d492e9f931971d1c5ee73be7b}}, {{cite:8b3185c75f492a42cf430eab9a0d2ac0e16fdfb7}}, has evolved to become one of the pillars of physics {{cite:1aa27b2b447c...
i
c18bbdea14f28ae0509a97e8cc034e03
We obtain the noise bound with the AC1 by using its implicit solution. Consider that each weight update round is {{formula:2e43647c-4224-4bc7-ba82-8a226ba55004}} LDP that results in {{formula:85d2c665-ca06-41a0-9533-29092a273747}} LDP after {{formula:e69b5a5b-ae33-4a78-b329-762c34020ee5}} iterations, which satisfies {...
m
92e8b6ad47de9e830669a36caf36f870
Second, in most existing works, terrestrial IRS is usually deployed at fixed locations such as hotspot or cell edge to enhance the communication performance of its nearby users only. Moreover, for the IRS coated on facades of buildings, its coverage is further reduced by half which is effective for the users residing i...
i
b61c48deaa1d2d08ffc8c58f4ee234dc
Followed by the backbone, the feature map will be fed into two branches. The first one performs Horizontal Pyramid Pooling (HPP){{cite:d887dd7404f03737b249b45370ffca78576c16e9}} on the feature map and the Horizontal Pyramid Mapping (HPM) {{formula:9e598ca5-92b7-474a-b001-e8f707d1c7bb}} will be obtained where {{formula...
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08c8824f92a497fb15ed335c536c2e54
We explore the copyspace problem utilizing frameworks for object detection {{cite:cf38745a6e4458a15839dc313cdebfe0e8a67ced}}, {{cite:50d7b32239b728b09a6a146b160bca1aea771b7d}}, {{cite:cb007ad68f366c012bd2b33f240777304ea51a8f}}. The Yolov5 Github repository is cited in lieu of corresponding publication in arxiv.org, a c...
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46f7de7bfbd3ab8d2677fd1471cac8ca
Our 3.5–4.5  PEARLS IGL values are {{formula:4a3789a8-00d5-41d3-95f8-f071fe8c00b5}} 40–50% below the direct EBL constraints in Figures REF from MAGIC {{cite:1d8d13ba62b5e6d9cc534fcf767c75ef677a1c3d}}, {{cite:98157a2e923f44baaa246686f66daae8993b0652}}, {{cite:e2ae2c23a0fc476d57aa67ef948d59cebf17d4ea}}, which are estima...
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965c8e35627679e310f4e2f4d3c4b68e
The skewed distribution of the data further entices the use of a two-step approach as implemented by {{cite:cafa0ffdea0fb9f319eecc510c0be034d6117a8e}}. This approach suggests making a classifier to filter the “commenting" and non-“commenting" class labels, and then use another classifier on the minority class labels. T...
d
f478ed0d78118ed96ed2c13013e70b28
First, let {{formula:bfa05c5c-aec5-4fda-afee-b2a57f17761b}} be even. Hence {{formula:fdac0e78-1571-4087-a172-f46b751b129b}} , by Theorem REF and {{cite:49964771c01e876833b88764188f86ce9c04424e}}. Since each color class contains at most {{formula:9ad7bb5e-de79-4f5e-8ca9-eeb99fa4840a}} edges, we can color at most {{fo...
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34fb46b55226de86e8b66abe8d7ceb4e
The DEtection Transformer (DETR) {{cite:1b0da93f78278465896052a54310aec2ecd29dc0}} uses a transformer encoder-decoder architecture, wherein the self-attention provided by the transformer removes duplicate predictions. Spatial position encoding is added to the feature maps obtained from the ResNet50 backbone inside the ...
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a07ab5232785fbb058eb133699f9a714
Figure REF shows the contribution to the gamma-ray flux received at Earth from the CR flux of SNR G57.2+0.8 and SGR J1935+2154 for the three spectral indices. The assumed gas distribution was the one from the Fermi-LAT collaboration {{cite:a5a1c4cd19cad40f59b1085d2ac7e71e0085bf7c}}. Observations of the diffusive TeV e...
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5e8912f03e99aa58dd0dff5543895a31
One is also recommended to {{cite:95941a31aaf878e1de561da7672fe2a6474d9180}}, {{cite:b5a9f17bda4a98d212b62ac7b573830d184592e6}}, {{cite:f61dd7b375f658e3e3691f594761174f1d144443}}, {{cite:c45998f640b04a6fe45cc64a7b9db13fbc02ae07}}, {{cite:9dda8ab4de6c50be392d0083a4001e51f5e56cc4}}, {{cite:186d4e7449a42bffd0b70d133ed2c29...
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65bc2dbcce084dea067b4e0396384dce
Provide a generic SGG dataset class that supports both VG and OI datasets and is easily adaptable to customized SGG datasets. We have integrated evaluation metrics from official Open Images relationship detection challenge for OpenImages Visual relationship detection{{cite:02806bac081008461b198a84c912545563429d3e}}, a...
i
ec708b4261e18749280f191f5b1da36a
The modeled triangular nanobeam photonic crystal cavities have high {{formula:4ff67bd7-7f90-4d78-aeaf-544ef466a535}} /{{formula:b4fceb4f-2ad7-4ddc-802d-df901b60cf48}} ratio with promising applications in high-speed and indistinguishable photon generation. For the same triangular geometry, altering of the lattice const...
d
610ba07999a6dd9eb1a5078f7e5537bb
for {{formula:97bd08a1-8467-4c48-b004-8f3f1041aeb3}} . Motivated by its central importance in random walk theory {{cite:1b9be70ec5ba8a5d11d1218d43175fa10a8c39a3}}, {{cite:54d450de9733fdde8c0d000eaf6161a90c76eba6}} and its applications to data smoothing algorithms {{cite:f3f5f06e3dc71fdff5253533e33df0dae0e360de}}, {{cit...
i
a3cb31c5b5d93cc3479df725b48bb342
In the QCD sum rules for the hidden-charm tetraquark and pentaquark molecule candidates, we usually choose the continuum threshold parameters as {{formula:e5d4dcac-c0a2-4e6d-b092-363eebd94ef0}} , just like in the QCD sum rules for the traditional mesons, again the {{formula:2868ffa0-4ed9-462e-a7eb-848f7e4f725c}} denot...
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4684d1ccd46ef1d3e006b6e980b3e36c
Topological insulators (TIs) serve as an excellent bridge between traditional electronic bandstructure theory and a more modern approach including topological aspects. TIs emerge from a class of narrow-gap materials whose strong spin-orbit coupling leads to an inverted band structure and the formation of helical (i.e. ...
i
9c55cb061ee2246185c569827aa3c139
In addition to the qualitative comparison, we also quantitatively compare to previous methods through computing the P2S, Chamfer-{{formula:08188120-c877-4a02-a899-4ee85ad9f773}} and IoU of results by different methods on the testing datasets of CAPE and Articulated. Table REF and Table REF demonstrate the mean value...
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0e21989110a0682b0aca41c49f49b153
In this section we state the interior regularity results used in the body of the paper. Even though the results are not new, we provide the proofs since the claims are adapted to our specific setting. For overview of the theory of parabolic second order equations, we refer to {{cite:4aa48704e09a1653b9a391c92f2fb7961c65...
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920fcb4de0d94ea75335db11cdd119d0
Most current methods to train object detection systems assume strong supervision {{cite:f4f896b7ead257866a89c918e39fe64ce5f58087}}, {{cite:4906abbc97f35d8b2c0e3f962363ead73cb7523e}}, {{cite:b444eda5815ea84b0eca6ce433e93cb07ced0e01}}. Providing both the bounding boxes and their labels as annotations for each object, sti...
i
2120fa94a4b0a0646b9de1c47e4c75bb
where {{formula:b9780992-1e74-4356-a8da-ca674a2f82bb}} is the iteration number. Note that the update of {{formula:5661b5b3-bbfc-4da3-aa76-f54b3919ff23}} is a gradient ascent on {{formula:dc5b0bfb-5eeb-41b0-86b6-89d2250eb5dc}} with stepsize {{formula:ec3b5465-0421-4646-992b-b7a7878d100e}} . Eckstein and Bertsekas {{...
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3704c2eee77c8fc8a2f6368856aa3ac4
CBC is not just a possible boundary condition for AdS/BCFT, it is actually a very interesting class of boundary condition for a good reason. At the quantum level, one hopes the boundary condition of gravity to be elliptic so that it leads to a well-defined perturbation theory of `quantum gravity' {{cite:71f6914d1a1214b...
i
4ea30d1e310cf4b8ea863f9abadfb197
We can also see in Table REF that the coverage probabilities for the multiple imputation approach offers a marked improvement over the alternatives. This is particularly apparent when we average across the 201 pointwise values of the ERF, although the coverage probabilities are still imperfect given the previously not...
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ee89732ba46f5b193e02739932517032
Therefore, the well-known purely Jordanian twists {{formula:443be81f-4b47-4d4a-b437-eae9eae8f2fd}} and {{formula:af16ef29-2cb2-4557-a291-8233480c273b}} remain only unitary with respect to the conjugation (REF ). This situation can change, if we use the method proposed by S. Majid {{cite:c89d41cd4bbd7af533836d0b892cff...
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06742372c3744023ac2653c232f84bc5
In this work we use cycle number ({{formula:a671d416-fbd3-4967-87fd-2770fc12e4ad}} ), cell current ({{formula:006d4ad5-c876-45d2-b660-3a0f96def516}} ), cell terminal voltage ({{formula:da8ab583-ed25-4173-a61b-f7ec6b3fabe9}} ) and temperature as inputs. Although it’s typical to quote SoC as a degradation stress factor (...
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b15a7915bebdf4723fadf5cc6c0f62e1
From Table REF , we can observe that under the similar amount of parameters and FLOPs, our FASeg consistently outperforms the SOTA methods. Specifically, FASeg with conditional {{formula:ba55d81b-f0fb-47a3-b607-36eabf5537f2}} achieves black48.3%, 49.6%, and 56.3% mIoU for single-scale testing and 49.3%, 51.3%, and 57....
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e787f900a92b5502ace03b0c2dbdfc85
The work can be considered as an extension of {{cite:742c0faa4feed361506d3c4e26b581acf990e5b5}} and {{cite:e5649b82e8a21081b99cd9aebfd84803eb32ba8e}}, where the authors found that the density weighting scheme can significantly increase the amount of statistical information of the standard two point analysis. We show th...
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d56eaec1b8e7c24aa7b886fa40215608
The loss function should be differentiable for effective backpropagation with gradient descent {{cite:764cc639e612f61f196bc4df9ae76c4483e8e388}}. The trade-off between model genralisability (small batch size, {{cite:280c5e2473d586cd227d772244a5577e7b92bcb5}}) and output distribution evaluation precision (large batch ...
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fcdf3c992b0dc912be401c77330c629c
where {{formula:3a057430-7a3d-441f-9488-8bbd78a0fe2e}} represents Meijer G-function {{cite:7faeb959e07908a43148ffac03045ff1ee2c0c9c}} and {{formula:b5ec4936-857c-4d69-a4a0-47c549af8bdd}} .
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1d631aed19f9ee0bf51491e4c06920ba
For the 2D experiments, we split the dataset into training and testing sets including 5 subjects each. Each image frame in the sequence is treated as an individual image, yielding a total of 150 images per set. Note that typically, a portion of training data is treated as a validation set utilised for early-stopping {{...
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d8acd1ebd1726be8de5d1795aebdb8bc
Our results with DeepSNR demonstrate, for the first time, the feasibility of using ML to enable the potential discovery of previously unobserved GW signals in offline detection pipelines in experiments at LIGO. It must be cautioned, however, that DeepSNR is only a foundation for a fully MF-free offline GW-detection pip...
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b90a1b4730595915d119558dd782656c
First, we consider the reference SPGE propagation model and the source parameters which best describes the energy spectrum and {{formula:32b5a488-d480-4b44-ad85-f8b75e9827c9}} distributions measured by the Pierre Auger Observatory under LI assumption for that scenario: {{formula:3c4ea279-f640-4173-a595-cef222b9defc}} ...
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fce2ec0829514340e95d860f8a6215e4
Recently, several works {{cite:5b52f83c420b163c7d08b5d128a9626cbe40a7e1}}, {{cite:d0f7b1e4893ae66967707b7075221d1fa5c91800}}, {{cite:4b354e5d01e59c4eb88f765e7136ee6eed9b0370}} have focused on hardware friendly quantization schemes. Namely, that their quantizers are uniform, symmetric and with power-of-two thresholds. S...
i
0c6987b28abcbcda8a4107794a5a58bb
There are no primordial binaries in our models. Observations have shown that massive stars in open clusters are most likely all in multiple systems {{cite:b95e997c7b24785b531dc55e641cda0c3a948d0b}}, {{cite:715679f97ccf30ef53e597b2e61acaf7d63e7024}}, {{cite:25459d2c5f0f63b81e88c5df8cf9cac39330ae24}}. The dynamical inter...
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b8bbdcdd625bd8ca8dd541796efcc9ab
{{cite:b89625f3a3dd36b4914af173315fc6ecce2b2c26}} The proposed method: CROPTD Compared to: Faster R-CNN, DA Faster R-CNN and Strong-Weak ResNet-101 {{cite:1ae4ed72926986e4b5142deb4b1df4cd2ce0bf3f}} QuickBird, Google Earth: satellite imagery P : 90.06%, R: 90.87%, F1-score: 90.35% Detection of oil palm
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5dfee08b80eb411f6d6168b50f481ac7
Unlike (REF ), the left-hand side of (REF ) will not be zero even if the random variables {{formula:c686e3da-5f23-47f0-9255-4a5264be6fd8}} are Gaussian, as long as {{formula:d87e7ad4-1845-4a28-9c57-e199557d8b47}} is rich enough to capture the infinite-dimensional nature of the problem. In fact, for certain {{formula:...
i
6f653085b6ae2a144b74ddd589764e13
Let {{formula:3532feec-3216-452a-9a42-b2c19bdd4c10}} be the family of quadratic vector fields given in {{formula:1e1b8afd-71d9-4481-a361-6bfe4565d210}} and consider the period function of the center at the origin. Then the following assertions are true: {{formula:ce5c83ee-a91b-4695-84cb-5ecd776df675}} for {{formula...
i
d9ba276f7c821fd2ca0baf7f4233195f
Lipschitz assumption: In contrast to non-private heterogeneous FL analyses such as {{cite:4cc0e91203e1928a647bed9fe459adf2493a8947}}, {{cite:0a6b725e62378561ef39eff6ddefaf5c366590ec}}, {{cite:2705b346a16f11e93fcba46857b06761e25108f7}}, our excess risk bounds in thm: MB SGD excess risk (and throughout this paper) requir...
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8a6ca256feb2ca4ee13a6f095581437a
Many quantum algorithms for simulating quantum chemistry rely on second quantization. In particular, algorithms for the electronic structure problem using a second-quantized representation are widely studied as a near-term application of quantum computers {{cite:b0ea89da83e75ca34b22313eac52dec59d340b40}}. Work on this ...
i
1e63e88399169df0aa7c7b4c3e10d87a
We begin by providing the necessary notation used in the paper, followed by a summary of a few of the major non-linear models for scalar-on-function regression before describing our methodology. Suppose we have {{formula:c0856620-ef68-42bc-8ee9-e5b914773d06}} subjects observed over a compact time interval {{formula:57...
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3ea2b4cd5158315df7386bf5e1552692
Moreover, we can observe different results between the grid-based and the archive-based container variants considering the novelty score. This difference is likely to originate from the fact that the novelty score is computed differently in these two container types. Indeed, while in the archive-based container the nov...
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2ffe0ce339b84cc32c382acb27b1781d
In Tables REF and REF , we compare MCAN{{formula:1505f7a9-0202-488e-9e32-58a3918b6345}} and UNITER{{formula:24128807-e163-4173-974e-9dc9fdbf535e}} to the state-of-the-art VQA methods on VQA-v2 and GQA, respectively. For MCAN{{formula:98f30398-866c-4298-bb85-b1e0ab6d8e7e}} , the compared methods include UpDn {{cite:0...
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3801325c8f6c6acc612ac63fb3da6123
The spin-polarized DFT calculations were performed using the projector augmented wave method implemented in the Vienna ab initio simulation package (VASP) {{cite:cedd9f1466dd536f7a691fdc0e0c8c820994a2dc}}, {{cite:8cbbe75fc4242bf10ec69a6909ecf10e96277045}}. For the exchange-correlation potential, generalized gradient ap...
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Recently, the application of deep learning (DL) to physical layer problems shows promising results mainly when there is a lack of appropriate mathematical models, i.e., model deficit, or a lack of low complexity algorithms, i.e., algorithm deficit {{cite:b66d6abdee880d5bf9536017fca252b57e2ab114}}. Given the fast develo...
i
f1e5e1badd0ab197065da80acdd39b72
We follow the same implementation details in Section in the main paper. We test the proposed algorithm on the dataset CIFAR10 {{cite:79316d4b814fc1f067a0eac7c641f58a5be8131e}} and the VGG19 network {{cite:cd0ff357af1f4df7697f3d1ec9d5fdb7263d6d08}}. The results are plotted in Fig REF . From the results, it can be shown...
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64c0d939edca41c4440a1efc9ea529ff
We tokenize the captions and utilize Bert {{cite:83c6cf587e0468378c181ac0229fc922a9a2e182}} to extract its word embeddings. Then the word embeddings are fed into the LSTM network. As a network transformation, a linear layer is connected to the LSTM layer. The output of the network is {{formula:b21bafca-cc80-4db8-a171-4...
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b4ed82785ad8b36be81fc4be6f287342
When {{formula:386106e9-98e3-4b56-b8c7-db3ffca0d362}} , Liouville type theorems on {{formula:36a247fc-4e96-49ec-962d-f59908d35b54}} for the {{formula:a910dc2b-47f5-4ebc-abe3-058f95bddc99}} -Yamabe equations have been established. A powerful analytic device is the moving plane/sphere method. Let {{formula:a9ee9bd2-bed4...
i
fb91f638c6cf4d1078884ebc805f917e
Stability conditions on triangulated categories were introduced by Bridgeland in {{cite:7e30a904daeabc0ab12dbb66f72a70fc465dc41b}}. A remarkable feature of Bridgeland's construction is that the set {{formula:f35146ba-6d54-4048-9c05-a5e759ba2f38}} of all stability conditions admits a natural topology, and is in fact en...
i
f74dad9bcb36f5690e1d505e2f4a839a
There exist other extended statistic besides Tsallis proposal. For example, a largely used statistics is that introduced by Kaniadakis, which comes from relativistic corrections to the Boltzmann theory {{cite:4d9a7fb8a5410791e2c49e720d270017be00efc2}}. It would be interesting to explore how modified Friedmann equations...
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f2a96ba5d7dd73f142b2833cef5a6ad0
A recently popular approach to deep representation learning has been to learn disentangled features. Whilst not rigorously defined, the general methodology has been to use deep generative models such as VAEs {{cite:8adcd0d8ba30c6c42f457f98c7eac857545fd2b2}}, {{cite:ffdf8707c5198236172af2aa06806789ac458f56}} to estimate...
i
e5d0f7a8979ca26526e911de8403bba0
Directly involving users in the collection of a dataset intended to drive ML research does present some challenges. It can be difficult to reach the scale of web-scraped datasets {{cite:7827a5b70e0a0adedddff80e1793eae832fffb19}}, {{cite:dd7d3d89de032562df470133a333244fdf7ab012}}, {{cite:c681470bb6b6fe478be1e08053a83720...
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a11882c1d184fc929f5e31db0aa6b25e
The size parameters {{formula:1831f2ce-d021-4340-8589-878026704b7c}} are set to be a geometric progression form {{cite:93ea06d07569308b87260394de575ddcad7a921d}} {{formula:64daf68b-b720-4061-8642-cbf6041bc682}}
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e73449186ccfae4c398a463f5ca55692
Data engineering pipelines are used pervasively in both industry and academia, and dataframe serves as a key component in the practice. As the scale of data increases, distributed runtime libraries, such as Dask {{cite:4ff320556c0d5dafd2c0c335387c826840c36efa}} and Ray {{cite:9c88f5032610ac579c66deef09d7e1512b56c5df}},...
i
57972c3f7d9facc0ff34f7236b56979e
The origin of tiny neutrino mass and the existence of particle dark matter (DM) are the two concrete pieces of evidence for new physics beyond the standard model. Appealing pathways that connected these two parts together have been extensively studied in Refs. {{cite:66e4c5fb844e85224596c5c7aa327bbc4436f3bc}}, {{cite:b...
i
db9e2768fac7b9e0cc364daf62ad8772
Other approaches decompose the primary task of the GAN into separate, domain-specific tasks performed sequentially {{cite:cf7f2f04a8b61f3a2ca7f2715f9855b262bd8b62}}, {{cite:cdcf40178a1f1c4df5e77fa3a6fb381695d21bab}}, {{cite:4b3ec02e7e3090360517ae2f88a09f03763c482e}}. All of these have focused on image domains.
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42c7ad48101474f8d62456197643d3f8
LSR and Flooding do not enjoy the implicit bias property because their optima are finitely located. By themselves, they have to mainly rely on the noise associated with minibatch stochasticity for reaching points of good generalization.It is worth noting that Szegedy et al {{cite:a883ffe2ccf8f9042d9a81b40e7d8a7f194c9fb...
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146e20353a4ef7ce200f27494ee301af
where {{formula:31acca26-167e-4196-9deb-8a47f306e07d}} is the Q-value for the trajectory {{formula:1ab75f0b-27a5-449f-ab76-bf96e64e779a}} , and policy {{formula:1a6c7f5e-d165-4ca5-9b09-024bce39ad44}} . Throughout the training, the PG agent estimates the probability of selecting each action and chooses actions by rando...
m
6bccc77f7288fd9ddba6d954cc224cdf
Lemma 16 (Hoeffding inequality {{cite:3d8526122ecdf407118a0e7752d22a47755d37f7}}) Let {{formula:e1a5667e-9c73-416a-b7ad-33b882d7b51c}} be independent random variables such that {{formula:3c86d2c1-2e2c-4000-9492-df8ad9d1f204}} with probability 1 for all {{formula:ce099cad-13f0-4be0-be9e-821733877346}} . Let {{formula...
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baf8f12df108745b996f51ddca62f087
In this section, we first briefly revisit DARTS {{cite:98f7c5d4a5c52e674e9e3e7dec3d0afecee3b726}}, and then describe details of the proposed methods including three key components.
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0dfbe543f844263608f37974f943e251
In this Section, we perform the comparative assessment of our approach. To this end, we use PHOENIX 2014T dataset {{cite:93ef96822f9768074993dc714cf40490aa7037b1}}; this constitutes the most used benchmark in the recent literature. Hence, this benchmark selection allows for optimal and full comparability of our results...
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e9ec34a519f00309e54f938208b414e5
Regrettably, minimizing bias is not the only key aspect to be considered: maximal matching can lead to the pruning of patients, thus possibly ignoring relevant information contained in the dataset. As these matchings are usually not unique, there can be a high variance in information in between matchings and thus concl...
i
b35a7abf92dd83c68d84c88a3f8f0028
In this work, we employ adversarial domain adaptation to extract domain invariant features from the source and target domains. The architecture of a DANN {{cite:6d904f920d206eef7109b588dfb9a7528e71702d}} is shown in Figure REF . The architecture consists of three networks: feature extractor to extract features from the...
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bb6467cce31ea3912a190744627307a7
We prefer to interpret the massive neutral gauge boson as the massive photon. This makes the non-Abelian superconductor more like ordinary superconductors. Moreover, in this case we can interpret the ferromagnetism in ferromagnetic superconductors as an evidence of the long range interaction generated by the massless m...
d
134a6ccc9dbc77c81a838265158b96b6
Semiclassical transport theory based on the Boltzmann equation predicts Kohler's rule {{formula:c8a9f9e4-b205-4d4e-942b-64a720c7a025}} (0) = {{formula:2dba1808-2302-44f0-ab35-db18f6ab245c}} to hold if there is a single type of charge carrier and scattering time in a metal.{{cite:1914aa167abea5ce6aa6d80a4f6c2b1c572de7c...
r
0599996f20221fd235ebbcfc727a35af
We suspect that the classical radius is primarily due to screening of the charge by virtual particles from the quantum vacuum. If it were possible to see near Planck length via scattering of some kind after breaking through the screening effect, one would see the radius near Planck length. The screening effect of inter...
d
85e1056a0a40a64a444975c4221e7a07
Following the classical framework, described in {{cite:eb53a92f9028c222339a326cde7ae3720a447282}}, for each initial data {{formula:d3af7d5f-9a0b-411e-83c8-6821c26e3db3}} , we consider the MFG system in {{formula:ad25cf35-f811-4082-a558-3e5f16cfc545}} with a homogeneous Dirichlet conditions: {{formula:f5cd8f00-411e-498...
r
cfe19fdea8319b6b6802ac0f4bfe9679
Among the gluon TMD PDFs, the so-called gluon Sivers function is regarded as one of the “golden measurements" at the future EIC {{cite:bd05b8fa76b9c30b078cb8fc9b414d0f145a9603}}. The gluon Sivers function encapsulates the quantum correlation between the gluon's transverse momentum inside the proton and the spin of the ...
i
37a04ecaccf4a3660383d70f40c6fbf8
is an accurate local model of {{formula:8ad5517f-73fb-4095-adae-2fed6894d795}} for suitably small steps. Note that {{formula:fb3ba4a4-0ffa-48fe-b65d-278b36753974}} is not the usual, quadratic model of {{formula:1e09c6b0-5661-4cf1-8f04-4489c7dc95cb}} derived from a Taylor series because {{formula:3680c6cc-44b2-4544-a...
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74d98ba4cf3f9d2435554b54228d161e
This principle has now been made quantitatively precise by a bound on the extent to which the two natures could be simultaneously observed {{cite:fb1493a582a55b24763dac1378e6c4f1aad7a433}}, {{cite:c3a1cc5133bf7dfd6eab989ba5bcbd7865ca4ca6}}. The extent to which one can distinguish which of the two slits a particle passe...
i
66cfa9896fd3453a6cc37ee2f9e47dd0
We also experimented with a version of VDTN in which the transformer network (Section REF ) was initialized from a GPT2-base model {{cite:2db53ca1e2691747ef93db01994eea254f15f4d2}} with a pretrained checkpoint released by HuggingFacehttps://huggingface.co/gpt2. Aside from using BPE to encode text sequences to match GPT...
r
7938136ac8913c999e4b139899657b91
While the first equality in the first formula of part (a) is a consequence of {{cite:e183518dddb6cd27f2eb0494c18b9b7fbbe1f302}}, the second equality follows from Euler's reflection formula {{formula:d7a55ad8-741e-435a-9514-d5e3c2f3fd04}} which holds true for any noninteger {{formula:9825265c-43a5-4a35-ada4-14d8905c9d5...
r
5b15eed7a87b42bdfaadecd3e13538d1
As discussed in the Introduction, a variety of UV physics scenarios may give rise to unwanted defects or relics like monopoles, moduli, gravitino (see e.g. {{cite:307276311182a6484e56775e3fcc6d0096497064}}, {{cite:cc010bd7ca6fb685d87e2c0a27a4cb0199b02fc9}}, {{cite:a8ed84fefdd21a9df7b82d805ae72accc1b24b40}}, {{cite:eddd...
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48c7683ab42945511f75e9d3ecf90b4d