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A fundamental solution is an operator-valued function which can be found with the help of Laplace transform technique. Let {{formula:a23090ea-b8ed-4e05-9741-12b138555df9}} . Then, applying Laplace integral transform each side of (REF ) with unit initial conditions and using integration by substitution formula for opera...
r
26c4c53e6a9fa9c2a5ecc47033553564
Despite being seemingly a minor change, LDET demonstrates remarkable gains in open-world instance segmentation and detection. On COCO {{cite:0b83d82126ddbb27485908f4e8ccf32a37cb6258}}, LDET trained on VOC categories improves the average recall by 14.1 points when evaluated on non-VOC categories. Surprisingly, LDET achi...
i
830ec207fbade9e9afaa781902ef4dc2
For dimensions {{formula:2e7cd601-ae49-4817-9f5c-7b0d541e8a4d}} and any particle density {{formula:6e5bbd3f-c2db-4f13-912d-a3043e655d1e}} , the excess particle mass density {{formula:b780417b-6bd3-44c3-a324-f48f14c4d7db}} is interpreted as the density of the Bose-Einstein condensate. One of the most prominent open pr...
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21bcf131eddbe008fec1fb43720605f2
A sweet spot of the bias-variance trade-off is to perform TTT while remembering the training data in some way. In deep learning, this is usually done by initializing with a trained model for SGD, like for our paper and {{cite:7b51f35fa4865077dfc0314b49ac8ad5d85e41ac}}. In this section, we retain memory by using part of...
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8008434cfa8cfb4e0e13fae9708c7465
The number of AI systems put into production has steadily increased over the last few years. This is because advanced techniques of Machine Learning (ML) and Deep Learning (DL) have brought significant improvements over previous state-of-the-art (SOTA) methods in many areas such as finance {{cite:9967b805fcf718a913e5c9...
i
153d6f27b3da6da88d585610d8df2a4c
We evaluate our method, delft, with glove embedding {{cite:7eb6109e51d3dc3389deede52212f1362c8d9d1a}} and bert embeddings. {{table:657f29cf-9bd1-45de-90b2-504417e45d84}}Implementation {{table:4abfd39e-1514-4594-a1d9-5c70c6792578}}Our implementation uses PyTorch {{cite:10d81a13b6f222941bf8069ade5f53a0913ee7c7}} and its ...
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30509e23a934f42de1da9f5771c35e48
Recently, multi-task neural networks have shown superior performance to other individual neural network architectures on different medical imaging applications {{cite:252ce3c55f813ca499698f9c952dc50c9cddc4d3}}, {{cite:e73e8f7982b17c8879695f23d5c159f2066a8e3d}}. This type of neural networks simultaneously integrates dif...
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dc71630ca02b500075c3e8139cc23ec5
we can readily factor out the logarithms in the binding energy out of the integral, yielding a contribution to the radial action proportional toMore generally, within the realm of the PM expansion, this is due to the fact that the pole from radiation modes in the tail effect is accompanied by a factor of {{formula:17d8...
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9a0a7f73d9fe0b509a16e60efd3f6cb3
The investigation discussed in this paper could be further extended in several directions. Previous studies have shown that different kinds of networks, such as directed {{cite:ae48c0f2286dc9680187404c2b93db0e8ce2d84b}} or non-normal ones {{cite:954fda75bb28c59b22d3782de4ce91ae70a373d6}}, {{cite:e30d593ab65fa81cc2aca05...
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db8ea5da45fa4b74347b02c70be5d051
We conclude this section with three preliminary results: the folklore sampling Lemma by {{cite:5a696d596f0e03df7d2642cd101ebd774b1c8b7e}}, a combinatorial Lemma we derived from the well known Hall's Marriage Theorem and a graph theoretical result from {{cite:ff11e6d74c40017a6029a568c1021da97f9e5655}}. While the first L...
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8b1280d4e0f3919db759b046708eb691
In order to corroborate the conclusions of our DFT-rVV10 calculations and better elucidate screening effects, we have also studied some of our systems by an alternative approach, namely the Self-Consistent Screening scheme (SCS){{cite:8a79d679d9ce8fdb79cb48e224b895329b80286a}}. The SCS approach maps the dipole polariza...
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2a48e27f02a056821ca3a6a91122c25d
Outlier Exposure (OE) {{cite:f742a4a5714b034cae7963353160cf0e3428b85d}} corresponds to Exp{{formula:2959e90c-29ce-4561-ba94-c07a855ae2d1}} in Section REF . The results show that using OOD in training with this mechanism can gain an advantage beyond other baselines.
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7b21a72756f991ccf0a36fef770000fc
In the early studies of Poincaré series for gravity {{cite:0c1065503f396561311998ca3862de176aa8adaa}}, it was assumed that the “seed” for the series is the identity module, corresponding to thermal AdS{{formula:be6d1633-75ab-48f3-b9ce-1f6966900ca3}} on the gravity side. Later studies, notably {{cite:20df17f568c2aef35a...
d
1adafe3c2b46d2d5983b88f94f0019ca
Lemma 14 (Chernoff bound for Bernoulli variable {{cite:9136671d0b712488abe2bb8f512bf917d188cf24}}) Let {{formula:324e239f-d80a-47dc-8357-06abc9536b36}} be independent random variables taking values in {{formula:14e33774-6f7f-4fdc-804b-6c56ab7c1b28}} . Let {{formula:cdcd941b-7834-41f1-bd6e-32d481de1ff4}} and {{formul...
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0654c37c530e68515d5c3b3704c3204a
To solve this problem, many recent works focus on deep neural networks with hierarchical structures to model the conversational data {{cite:95e11061049f47c73ed29c4798282af3615d7983}}, {{cite:0f8570d1dab1427a9153e1c8240de28bbcb8c2f1}}, {{cite:6096303146b1e06f58fbe1aceb7129cf97f121dc}}, {{cite:48ac74c6f7ae6f23786f387b74b...
i
88b83d0abb56a4bb1da1a71669d5c3e4
The landscape illustrated by deep neural networks A comprehensive understanding would help understand why the parameters do not stray far from initialization in the case where a 0 training risk solution clearly exists, but EMC is below data complexity. How do redundant parameters in deep neural network help in learni...
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7e5f6243445e810b51a9ee252024f6c2
Recently, we introduced a novel synchronous technique called Anytime Minibatch (AMB) in {{cite:3e3641bb324754b75e4bf70cdf1f3fed4337b875}}. Our main idea was to fix the per-epoch compute time across all workers rather than fixing the job size as is typical. Since workers progress at different rates, fixing the compute t...
i
7414adf94735ef9d7309ab7bcece6416
Flow-based models {{cite:b19dd15db1c2fc9358457b9ab90a1784854c2079}}, or normalizing flow based methods, consist of a sequence of invertible transformations which can convert a simple distribution (e.g., Gaussian) into a more complex one with the same dimension. While flow based methods have not been widely applied to i...
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643bc01bb7e610ed310646f51c830760
Social media provide crucial data for understanding how large audiences perceive and react to events {{cite:b0c45cb5fa30f97b2288920884f4444329863cd8}}, {{cite:88f42bb171339cd00951fe82037ca51725e633bf}}. Past approaches used social media traffic for inferring electoral outcomes in massive voting events {{cite:3dedd232d7...
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e83253081d98bcac23f00f665f67e988
In our experiment, high-order harmonics are generated by focusing a 30 fs IR pulse in a cell filled with neon gas, resulting in the emission of an XUV comb of odd harmonics of the laser central frequency. The central wavelength of the IR field is chosen so that the 39th harmonic is resonant with the 2s2p resonance in H...
r
e41d1a42e1cf2a1da8939124d50b04c5
We also emphasize that, in practice, it can become a storage problem that the BFGS method stores the Hessian approximation as an {{formula:e878039e-68dc-4aa1-94f4-2916e89d2370}} matrix. For these cases, there exist limited-memory variants of the BFGS method (L-BFGS) {{cite:c79cedd285ce7824a23b2324cac625ae902ab901}}, w...
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2f70113aae2a626709de70606708570f
Thus, for a system of {{formula:39536c70-75c1-419a-861e-7f96a7ef8c45}} point particles (positions {{formula:1c344bd3-3390-4113-a7ac-b7df355d0e87}} , linear momenta {{formula:55bd146e-4bb9-4a7f-884b-79ba19170116}} (as usual, dots denote time derivative), {{formula:140792b8-e7df-48c1-bc58-d66eb9670b2f}} of {{formula:0...
d
8405c43af0b32dbe71320d411f122267
The distribution function {{formula:21499842-83f3-4e6c-aa46-fad507e92f84}} determines the polaron shift {{formula:b5a8d12c-e6c9-4e21-911d-000036d893dd}} defined in Eq. (REF ). In the lower panel of Fig. REF , we plot {{formula:2ffdb278-056c-4d3e-ac5b-6d1e1dbfd444}} as a function of the particle density by using diff...
r
41de40302b31e5473b199a3876ad138d
Bi |wii|p*s1dx)pp*s1 c 2i(N+s1p+p-1) 1p-1 ( Bi (wi)p dx)1, where we have used the relation {{formula:029f0ef5-aba6-4e7f-b68d-777e2a650129}} . Now, we estimate the left hand side term as {{cite:33516d5cb257d8332d2bca07154b88928e48e7ab}}: {{formula:47dbdbf2-180e-4b7b-b219-fb7511cb0d4b}}
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9b27680840d82a254c73768537e91702
From the aspect of applications, we can easily adapt the protein embeddings learned by S2F to other protein problems, such as protein annotation and protein stability prediction. For future works, it is possible to use the high-quality computed protein structures from AlphaFold2 to increase the multimodality data size ...
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ccbf00794eb66e013e9bc7e27d3ed8c0
A value for {{formula:25ed730a-0f46-449e-8d58-d1d2a5a52fd4}} has to be predetermined for use in {{formula:ddcb755a-231e-4813-ab8e-5148bb2af0aa}} -means. Traditional indices for calculating the optimal number of clusters for k-means clustering, such as the silhouette index{{cite:a29c7037eb9f994f9f287a5965b260ae83bbddbe...
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4a91640eff1333c0d4e5c2bf56b05321
Related to the problem of generative modeling, our model does not incorporate sampling into the learning process. Generative variational models use sampling during training to regularize the learned latent spaces toward a simplified prior distribution {{cite:4e788fd628499381b0bd7805a907040da5175cbb}}. As there were no ...
d
34b750b94f0ce6718356ad844761af28
To justify the proposed benchmark FedChem, we compare our results with MoleculeNet (MolNet) for centralized training {{cite:17da75fa2e39e7bdd6731b212fc16552121b8574}}. To validate the effectiveness of FLIT(+), we compare FLIT(+) with Federated Averaging (FedAvg) {{cite:825d6fd5e543e918b06420287acb993d6dd4a462}} and Fed...
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e64d32040365d43c73f14bbdeb120c9a
In conclusion, we hope that the results from our present theoretical investigation may be helpful in understanding the nonlinear phenomena in astrophysical compact objects (viz. white dwarf and neutron stars {{cite:9e46c83a9765763e2f182a06b22601c331a3eaa9}}, {{cite:845854db48cd9eccc5ffb79683ddc333cc1a6fec}}, {{cite:6d9...
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8d6896e146c201904a524380863a3803
We now show that ultracold Bose gases of {{formula:93ccb328-d89e-4522-8e0b-b8db8dc3f860}} Rb atoms are a candidate for observing the predicted atomic-molecular vortices. By initially using a large atomic BEC of {{formula:3b870831-6bfd-4372-9969-39df62269b13}} Rb (the atom number is up to {{formula:7bd9ef53-99dd-48ef-85...
d
1a91e5bce5c4c1bdbd59237770537d12
Smart voice assistants have come into our lives. At present, many smart devices will integrate smart voice assistants, such as Samsung's Bixby, Apple's Siri, and Microsoft's Cortana. These smart voice assistants can provide personalized services to users by recognizing their voices. Automatic speaker verification (ASV)...
i
ce251d5b5581c5da5863ecfad9d17e43
Limitations. The proposed method for building models with better generalization is only a partial solution since it requires an external model selection procedure. New methods for model selection {{cite:dbecb567c243986c988344171466fe2086705dca}}, {{cite:0076bf333934dff26087c4d898eaa6e0ffa92cc5}}, {{cite:0e5d8d954832ffa...
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eb16a5b412dae6061f613e44d4749e7c
Lemma 2 (Hoeffding's Inequality, {{cite:0709b88a080a9c1ccb86a2516a9c32e61cebd4ba}}) Let {{formula:b5ed2997-0101-40b6-81f1-9bce11adc420}} be i.i.d. random variables in [0,1]. Then, we have, {{formula:a8d7be03-aeaa-4a36-ac8d-4ecd95874815}}
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88a5cc7918445a339f897b307f017902
Most of the existing BED studies focus on the explicit models {{cite:6ba7dfaceaf69b316d49346a3590c331cab61bb9}}, {{cite:0e8f76b98e91236d1960d69e766e69de2311d80c}}, {{cite:d9dbde520ebcddfc881b3daf67536bd10711be44}}, {{cite:2e5211ab92cf38ddce29b37cf9c465db37cd0f04}} in which the likelihood is analytically known, but in n...
i
e11f36c3c1fb988f79ce9b2ee730853f
At each iteration, the communication cost includes the broadcast of {{formula:7ceadeb9-d49b-4fa3-86c8-870804e9e815}} and {{formula:1bc6e396-bfaa-4764-b757-f8d0e48c42d9}} to every {{formula:dd096878-f090-4338-8485-6d7969daf98b}} and the transmissions of {{formula:c4195db0-0f91-40d7-9f85-096ab529c267}} between neighb...
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6d981cef40e0727597e33e897b64784c
Theoretical analysis of policy gradient methods has a long history {{cite:8cdfe57b42f197f7830e2dac9d65ac3202ecbe9b}}, {{cite:5b28969645c7ee2e9ea4c77c5c1d2b07f0a07daa}}, {{cite:494ec34932ca2b4abe472b994fcdef8ce92c5fef}}, {{cite:a55e8367c802e7d7e204257ec12ee03e775a049d}}, {{cite:ec1960e8269150952e30a7e7edc6240fc481004a}}...
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033400988c3ca3a2ac5d5fa8ba384d13
We have established a variational formulation for the role of depth in random neural networks with batch normalization: The entropy of hidden representations increases with depth up to constants. Is this entropy increase achieved by a gradient flow in the space of probability measures? This question is inspired by the ...
d
fc3d941f0245e14449bb872e1abc837c
To handle the black-box constraints, we need to modify the acquisition function to show improvement only when {{formula:81f91a92-cac9-4c5e-96c9-4e0e14976828}} holds. Similarly to the objective, we model the constraint function {{formula:4fe1e10d-4b85-4eac-8deb-142f7bfe9cfd}} with a GP prior whose evaluations are corr...
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921279c012018c762cfa7fbfa1956b3f
Block ciphers should be designed to resist all classical attacks. S-boxes are the core components of block ciphers. The primary purpose of S-boxes is to produce confusion inside block ciphers. Such S-boxes are nonlinear functions over {{formula:84255e03-0e1d-4b82-afed-33c43ea5132d}} . Such functions should have low dif...
i
a0a1d0206fcdb6c08acb83a2379e5369
Different constraints are contained in the matching-based methods instead of using traditional stereo matching methods. Heber et al. {{cite:31c489341aec78ae8e73a01f084f784df51513df}} estimated the depth by matching the central view with other sub-aperture images, but they didn’t use all the sub-aperture image pairs. To...
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b7d0c3e6c46473024097c92956859826
Here, the CNN parameters {{formula:65aacb78-4966-41ce-b4e2-c11e0023a921}} are initialized with random values and are optimized such that (REF ) is minimized. We note that CNN models often have high representation power; they can represent noise when trained with adequate epochs. Because the measurements {{formula:2845...
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886836d12b9e93798cb454d02787d5c6
Using frequency domain decomposition and residual connections, {{cite:4dae6b645b624326063bcd16d98be820dec2dcd7}} first employs a three-layer CNN to extract rain streaks form the detail layer. Thereafter, advancing network modules are introduced, such as residual block {{cite:1e4b528efc84eeb4512d5c70cf0cb7616530c575}}, ...
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dc178d39c5b8d3c3d265cdffa4a9d379
Separating. In terms of sample complexity, Corollary REF gives that a generic max filter bank of size {{formula:535ddae2-81f5-464a-bbca-a0bc238ae50c}} separates all {{formula:1d4cb5ef-fcb0-4bc7-a2e8-1033411b0e49}} -orbits in {{formula:1d010072-3852-4412-ae40-243812cc052f}} provided {{formula:9a8b4d6b-efb5-480c-a5a7-...
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In this work, we show that this simple method can be a very competitive baseline that either outperforms or is on par with most state-of-the-art methods on two popular benchmarks, (DomainNet {{cite:102ed3b60a275ba7a703ec2f9f4d22a6d603e56c}} and VisDa-17 {{cite:1ebfc7ad8810ee04fc2bfce2e216feebaa8defe9}}). Note that most...
i
836d00d85336b513b064a53431bfd598
Blind demixing with multiple brain graphs. fig:brain depicts the rate of successful recovery using up to five different brain graphs corresponding to different people. The graphs belong to a dataset of six undirected graphs of the human brain, consisting of {{formula:27a5e093-d666-4430-ad62-2b9982f6234f}} regions of i...
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f11c7568c3f3d5525b39f18f6f030225
To validate the effectiveness of MAE pretraining for the transformer denoising model, the following state-of-the-art models are investigated: REDCNN {{cite:f31d3fe6a651a1e53ade2dd9bafee6fbda25a7db}}, MAPNN {{cite:00154e1f95131de3a31c1c30341360f936de4da5}}, and SwinIR {{cite:c95e5c000af5af31dfd5347d4d94692dfe8ad5f6}}. P...
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f420af421281a852ab2cb0e0b3e2232d
It is well-known that there is a relationship between an asymptotically hyperbolic Einstein metric on a smooth manifold and the conformal structure on the boundary. The research has become the main theme in the study of conformal geometry since the introduction of the AdS/CFT correspondence in the quantum theory of gra...
i
4a7320be25183472124e248c429858bc
We note that this result also begins to give us an explanation of the criticality hypothesis vis-à-vis neuroscience {{cite:f4453718fbe48cbe2ab2cef9eb0f0ad90e59c17c}}, {{cite:6a288db8c7896666984f94fa260721c515c84efb}}, {{cite:205c2753e0e69bfd96f5983cff1811bf6212499b}}. That is, at the critical threshold, with the emerge...
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1b551445c76c4ae9422af06c28757e2e
Towards an ultimate visual object classification, this paper addresses three inherent handicaps of supervised learning approaches. The first one is the dependence on the availability of labeled training data. When object categories grow in number, sufficient annotations cannot be guaranteed for all objects beyond simpl...
i
483395bc52da689c73890426094100d9
We compare our proposed FairReprogram with four additional baselines, and we show the full results with variance in Tab. REF . We further compare our method with MMD methods where {{formula:d84114d6-7936-4618-93f8-cf5090d40942}} in Eq. (REF ) is replaced with Maximum Mean Discrepancy regularization {{cite:92fbb54dd140...
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9cecbf86c19eecb1be6311d131f2c0da
The numerical results using a Julia {{cite:b0b5ed7f50d77e58e194c0a2ee7da1035cb17196}} homemade code are summarized in the following figures with {{formula:fabb9a61-73f5-4a3f-af1a-5150b32236d0}} , {{formula:0d7f47c0-6009-41f7-81a2-1150d36671e8}} and {{formula:ee1f974f-dae2-426b-bbc2-1b5f9bdfa8ab}} . The atomic PAW func...
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7e17f70d82af8f82411d4b1c35ada0ad
Style Discriminator We employ a Siamese network as the primary discriminator for the GAN. The function of the discriminator is authorship verification – taking in two pieces of text and identifying whether they are by the same author. We select an authorship-verification approach for the discriminator over an authorshi...
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In this paper we have discussed a generalization of the notion of the quantum operations and the quantum time evolution. The generalization depends on extending the linearity of quantum operations to the quasi-linearity condition. This condition is motivated by the appearance of such operations in a “hidden” form (e.g....
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1713396a4057dcb09935b3cf14292971
The structure and properties of the toposes {{formula:947b57f3-8ea3-446b-8b78-1468e282d1e6}} remain mysterious for the moment, and in future work we want to explore which kind of properties of {{formula:0c8dbfd3-e2d6-44a7-a09d-d3a2cad1b4a2}} are reflected in {{formula:02e70fba-facb-42c1-8769-287ad07fe613}} . In the s...
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cc0dff5f24f06c6001345a7ccb635d5f
Tab. REF compares detection measures (mAP, Recall, Precision) and tracking measures (HOTA, ATA, TEM) in the case of six sequences extracted from MOT17 and MOT20 datasets for for two detection sets of Faster R-CNN {{cite:03a17e3aeb73d93b96ccf3fe5abd53a0207f67d6}} and the SORT tracker {{cite:1935a603f494c4e6d10dfa8c31ce...
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87386947cdb879e842e47deb810b5f7e
Table REF presents the performance comparison of our proposed system with several prior approaches for the three experimental setups (i.e., Exp 1, 2, and 3) described in Section . The results are obtained using the combined system that utilizes the ResNet model with the statistics pooling layer trained using the trans...
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1ac473694d7932f82c1b476baeeaf50f
where {{formula:18a6f9f5-5af0-4986-a36d-7751780c9ed9}} denotes an under-sampled Fourier encoding matrix controlling the acceleration factor (AF). {{formula:67dd3447-986e-4dc0-8777-bc09cfa67cd4}} represents the additive acquisition noise. {{formula:ed427dc7-0978-4299-a40a-524d95d5ca0d}} and {{formula:0291ad7d-e9e6-48...
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733b09ddd05e075c571399dcbf63b84e
Here, each {{formula:f06c12a0-4ea6-4889-b16b-434b36e399c6}} is a number {{formula:10f54430-219d-47b4-842b-59b4cea6be88}} -matrix, and {{formula:0afafa36-299f-4398-a6f3-ad9d3550bb8a}} is an {{formula:097e09fd-0d5c-42f8-a1bd-8d3edd21257b}} -matrix-valued function formed by scalar functions that are of bounded variation...
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03699ee3726a03db721f4edb034cf254
For the model architecture itself, we use stacked ResNet blocks with convolutional layers {{cite:96ea4baae6ed612d66bb6e80e7e71ff3158b3c64}}. CNN-based architectures have proven effective at natural language tasks including sentiment analysis and question classification {{cite:34526a73bff2ace5ba81ccfcaf6f023808d5a721}}....
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d23fcb49534c0eb469b2cf0e07c75dd4
The composite systems (Complexes –A, –B, and –C) were equilibrated/thermalized within an NVT ensemble at 300, 600, and 1000 K using the Nosé-Hoover thermostat {{cite:7697aec3cd0134eb86e200b5359db9770bd0d1f5}}. The equilibration is initially performed to eliminate any residual stress. The atomic arrangement during the s...
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8afc74e65bd7a6b6409818d179c0fe74
Having defined network modules, we turn to specifying the inputs and outputs of the modules. The latent code {{formula:a8e23d71-23f4-472d-8399-c24f09237c42}} comes from a simple prior distribution {{formula:d3305206-fafe-4c64-b8dd-707b03a32795}} (multivariate uniform in our case) – it makes sampling random codes {{fo...
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42a50360ec014e1248a90fe4e09b25ca
One principled model-free framework for learning-based control is reinforcement learning (RL) {{cite:6e7db3a5cd0e9bb1fcbb2ae5c35c762cc4823c0c}}. In RL, the agent observes feedback in the forms of costs from interactions with an environment, uses this information to update its current behaviour, and aims to discover the...
i
24bf2346a27a7a27cfb8340da7c56bb3
In this section we present our algorithm, {{formula:4d7445ea-1257-4968-b189-ff5fae0c4503}} -learning with UCB-Hoeffding and Max-Optimal Initialization, a modified version of Algorithm 1 from {{cite:c845c5942897c06a5967309846ef016a73ab3ce0}}. We also introduce a theorem that shows the total regret of our algorithm is {{...
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498d946b3f006cecf224a99e8090f06d
However, local energy conditions, including NEC, are generically violated in quantum field theory (QFT), even though they can be satisfied in an averaged sense (see, e.g., {{cite:2ac95528028e1c05c82f7089937964b9f5e64de5}}, {{cite:1bae249ad0ec8ce8e46eee7efa08466f4cd8525b}}, {{cite:bd173efb15e7478f19e7873d32273e269609b26...
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26e644465404df1daa635a08c8f2ceb9
To ensure the reliability of our main results, we report results as described in {{cite:e5124768a2800af883f5f9bc265789e673ac885f}} to account for the uncertainty. We present results in Fig. REF , where, surprisingly, our method obtains state-of-the-art performance on the URLB benchmark {{cite:ac00cb384f35e97638fa7996a4...
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6a8b59a41df991f8b452c448a5bde0b4
Based on our analysis, it is clear that state-of-the-art models have a high training cost in conversational recommendation systems. The high computational cost to train complex neural architectures does also exist in other research domains. This has led to an increasing interest in knowledge distillation {{cite:3905761...
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One can distinguish dark{{cite:f324e3cc8e0c6d8bd3e214df89e2baa99344677a}}, bright{{cite:f324e3cc8e0c6d8bd3e214df89e2baa99344677a}}, and semidark{{cite:25756e4578860aacbe8cd59381bddab8b86359ff}} charge-carrier complexes in TMDs. In dark complexes (Fig.REF a), radiative e-h recombination is not allowed due to spin and/or...
i
30f9c46a94da536dfd331b947b7a78b9
In {{cite:7e6d456bdcf41b990e4e694ee35c35c3e20608bb}} and {{cite:020b1a082c7d3493179f10191d48daa84feb70b4}}, Ringel realized {{formula:f9746b23-86d1-48cf-bc3d-cd7b1cb07aac}} by (twisted) Hall algebras. Let {{formula:009399bf-beef-4aa5-a1cd-0a21e6a3dc05}} be the finite filed of order {{formula:08f52f39-4868-40a2-b4eb-f...
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Moreover, considering the Swift-XRT monitoring of other 10 bright {{formula:5e358845-06d8-4989-8357-a1fe32db3545}} -ray BL Lacs during 2004 December–2012 August, only Mrk 421 has shown a variability amplitude {{cite:e28ef95b622e3899ed0e0b5a20b87a43ea3a609c}} larger than the value estimated in 2020 for BL Lacertae. Howe...
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For {{cite:f6852e9b5e4ce7dcd53322482ff565ea2baaac4d}}, semantic communications must be shaped to effectively compress the exchanged data between communicating parties, improve the communication robustness by incorporating semantic information to the classical Level A communication scheme. This is possible by exploiting...
i
4fa5d85b43542ef908864b68c32b7e20
In this section, we discuss the feasibility of detecting the quantumness of gravity in our proposal. Let us suppose an experiment being performed using an {{formula:7a2ecf8d-662c-4ceb-bbc8-f5b104d88dd9}} quantum clock {{cite:500d5bc5b4206e65c01a3066b6e1562ac408b337}} with a probe laser wavelength {{formula:8435b027-70...
d
df48c5b85b97026669ac6b131bcc5db1
From subsection REF , we know that the solution {{formula:43c69274-97a8-49d5-9a87-91417d49fef6}} of the generalized continuous Newton flow (REF ) has the nice global convergence property. On the other hand, when the Jacobian matrix {{formula:7e8e3101-9a4c-4079-958c-c991cd60abcf}} is singular or nearly singular, the O...
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In fact, two further aspects concerning the estimation of {{formula:0d2d4f9f-1af6-4ad4-a65f-eff0a50bfd73}} need to be accounted for, concerning the selection of the kernel function {{formula:f5f6728b-ece7-4cf4-b930-757be1107db6}} and the smoothing vector {{formula:a6cb0025-02fe-4d88-ad43-cd0b56847589}} . With respect...
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4cb83ea893bc24ad5f9a0643d122a263
In solving the problem of Thomas precession, we used a coordinate–free approach to the problem, which allows us to identify an skew–symmetric tensor {{formula:0218afbb-dbe9-4308-91a6-0104a183749f}} , the generator of Fermi–Walker transport, depending only on the intrinsic geometry of the worldline of the accelerated pa...
r
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In Fig. REF we present for scenario 1 scatter plots showing the GW peak position as a function of the strength of the phase transitions {{formula:18cef857-e253-45e9-a871-975feaa243c1}} in the colour scale (left) and the corresponding signal-to-noise (SNR) ratio for the phase transition (right) for a mission profile o...
r
521b0c47c83ee4be7d4d2e03e3ea77b2
Actually (see, e.g., {{cite:e37620466d933a624807c72a559ab881240ba3f3}}), for any non-zero {{formula:cd350cb7-23e1-469d-aa2f-7d28d9e7b20d}} satisfying {{formula:e02d8650-979f-4809-82a5-ee639e954a4c}} (under (REF )-(REF )) the corresponding {{formula:d823cff2-95ad-45a9-98e0-5067c175fbe0}} has the properties {{formula:...
r
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In this work we consider the model-free null hypothesis of conditional mean independence, that is {{formula:5e6a2d34-1c77-4d5e-89a9-770fd05ecb05}} ; in words, {{formula:be7bae1d-37cb-45aa-9378-d0a07a76a0dd}} does not feature in the regression function of {{formula:d7deb09c-019a-4941-911a-82af59d4b0ed}} on {{formula:0...
i
ef151aa2c0e7ceef8d3bb1b6014893da
Other possible future directions can be found by revisiting our modeling choices. While GHL consensus is defined for higher dimensions, we restricted our simulations to the {{formula:fcbddabf-410b-475d-bb76-da0d160203b9}} case for simplicity. It is worth investigating not only GHL-{{formula:8f6a7a56-4dc0-42db-9f30-bb4...
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Other practical use cases of WAFL may be realized in the context of transfer learning with very deep neural networks such as VGG{{cite:d596a11da977000d8404619cf6701009807e3386}} and ResNet{{cite:8f25a97475b44687da1f978022a38fbe420a6701}}. Transfer learning uses pre-trained models, and only around the output layers are ...
d
4f08e595848870ba2382c0ee41defc31
The calculations discussed in the foregoing section for spin waves were confined to the simple cubic lattice. It is, however, straightforward task to extend these evaluations to body-centered cubic and face-centered cubic lattice with nearest neighbor interaction. Also, the computations presented in Section REF corres...
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e0554d82bb4598cdbdef097e77cefa6f
This section provides results of the neural network against the perception algorithm {{cite:784a096ed85826b120bddbe7be85e99d74f85236}}, the brilliantly performing isolation forest algorithm {{cite:532454d4b0c774b13dbdb500603fd0a6d237e7dc}} (sklearn implementation {{cite:b4d83b65602c972d210769f68c3b52d6f104938a}}), and ...
r
90deb8726d57cd3ab40adf205a7a8ad1
Note that any subset of an Alexander system is also an Alexander system and that we do not require the surface {{formula:bd01e8b9-f83c-4788-b796-49812c20b898}} in the preceding definition to be of infinite type. The following result is the infinite-type surface version of Proposition 2.8 in {{cite:e37dd2e10afcc06c09d7...
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20cc29b49e8db650b042609831e93df3
An iso-surface has a fractal dimension given by {{formula:4f0d7dac-44ea-4432-978d-229e7fa9aad0}} =(Euclidean dimension)- 1/2 (exponent of the variance) proposed by {{cite:9cf626fdd76df797846c8a7a073a8b34cf40b947}} . Thus {{formula:efe29a85-c20b-42b8-a803-e58c63107261}} for an isotherm, considering a two-dimensional s...
d
43065a10de913bf9a48f04e34d382402
The current approaches{{cite:25daa560ff158c4f9ebb5804efd31e0f43c4759c}}, {{cite:ac2054723ffcece165da9c054dc2f3013ff88911}} to pose estimation typically fail when faced with real-world challenges like cluttered backgrounds, occlusions, truncation, different lighting, dark objects, glossiness, and shiny objects. Figure R...
i
305d794067d11bcbfc4bdc8b881db571
Figures REF and REF illustrate the estimations of the original distributions of location data from San Francisco and Paris, respectively. We sanitize the original distribution using shuffle model giving a tight differential privacy guarantee with parameters {{formula:ac99ed9f-24c9-498d-9225-3c2bfaf2f132}} and {{form...
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af313eeccf55deda3cc731549fc9c646
Networked control systems have been playing a crucial role in modeling, analysis, and operation of real-world large-scale interconnected systems such as power systems, transportation networks, and water distribution networks. Those systems consist of multiple interconnected subsystems which generally communicate with e...
i
33476816148cc34739430a70a65d7aec
Vanilla ViT. For the Lottery Ticket, we use the model DeiT-Small and DeiT-Tiny {{cite:a53396e5cc66b17febd8518b92e86f6e0283dfad}} to validate the existence of winning tickets. We test our proposed LTH-ViTs definition using DeiT-Tiny and DeiT-Small. The overview of our method is shown in Figure REF . ① We pretrain the m...
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8891e7d8b45b9248ef980102999c3730
We have presented the concept of Fourier-domain dedispersion and shown that this direct incoherent dedispersion algorithm is a viable alternative to the traditional time-domain dedispersion. We have implemented the Fourier-domain dedispersion algorithm (fdd) in the dedisp library by {{cite:61a3a3cbaad5f621cb1a5bd52f8cc...
d
b827c296cf6afa11f6b7014e3e36bec5
We briefly recall the situation for scalar drift-diffusion equations. The first proof of exponential convergence to equilibrium in a degenerate parabolic equations of the type {{formula:b38e9e8b-81cb-4b11-8af6-278d12de040f}} has been given in the case {{formula:6d54cb82-6212-46a5-a6f5-a0d0ec09efcc}} and {{formula:42d...
r
8ca3c37ec32ba077d9a0150bd2d5cec5
Existing literature in few-shot object segmentation has mainly relied on manually labelled segmentation masks. A few recent works {{cite:e299c8528c1df4f84e09eb906d691fb9a393d630}}, {{cite:b0bcb2551f498fb4d00019f90e9dfe5b167f9253}}, {{cite:88fa8f64bd7e974677b984dc46e2826993c8812c}} started to conduct experiments using w...
i
9a2902d7f47ba6f5667ec8ff5124b74f
Comparison with I2L-MeshNet {{cite:879257d7c465fdaa3fdf24dca934a618bbdbf3e0}} and Pose2Mesh {{cite:f7cf39110c14621ab049316f4ad171a62c5d1947}}. Figure REF shows the qualitative comparison between 3DCrowdNet, I2L-MeshNet {{cite:879257d7c465fdaa3fdf24dca934a618bbdbf3e0}}, and Pose2Mesh {{cite:f7cf39110c14621ab049316f4ad1...
r
271c58df9ac05529705838d3df1fa177
An event {{formula:00f5c8dc-cabc-434e-bc80-9fb84fcb2f87}} is interpreted as a tuple {{formula:303b73ac-000b-4ead-9354-9768d31d7808}} , where {{formula:e928af70-fc6a-4cb3-9870-befc51cd79b7}} is the pixel coordinate, {{formula:1a0d53ec-c0f6-45df-ab1c-858e5534bf91}} is the timestamp, and {{formula:c1e8f06b-063f-477c-...
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274969aa309df489352ff1f0ff6d1ade
Thus, for every {{formula:48cbaac1-d863-4f92-8958-d5e6879356c8}} , {{formula:40fbafff-4f7b-41d5-8d5b-4a66dd0e4564}} is a {{formula:0933b684-380f-4e86-9a4c-f2ff3073c5c6}} -semigroup of operators on {{formula:744c5ee5-dbd4-4dc8-85c0-6ac35c3e3435}} whose infinitesimal generator is {{formula:598265d8-28e1-4986-8818-17924...
i
d88d0b661259bc17cce6ac158eb83986
Furthermore, we note that given that our bounds for universal unforgeability are not tight, it leaves a space for exploring the possibility of universal unforgeability under more efficient challenge sets. We will show an example of this in the next chapter. Finding tight bounds for the unforgeability of qPUFs and more ...
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b4d9d91e44a6b99d2f72c064f606e9b8
In conclusion, we look at the issue of obtaining unconditional convergence rates/concentration bounds, as opposed to ours which is conditioned on the iterate being in the domain of attraction of a given equilibrium. An unconditional estimate will be a product of our estimate times the probability that the conditioning ...
d
0a07e5a388d0bec808959348fe7ea5fd
Quantitative results on the COCO WholeBody dataset {{cite:1db5801f079434c2aab1c6d31041e7ca67d322ec}} are shown in Table REF . Our result is based on a single model that is evaluated for all (WB) or a subset of the predicted keypoints. Our method outperforms previous methods and achieves especially high precision on fin...
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de6e250770d16a2df2f412f25e20d723
The Multi-agent PPO Reinforcement Learning actor-critic framework is based on the traditional actor-critic framework proposed by Sutton et al. {{cite:86923f31e6f5fd2783ef31e311457f2006c7e1de}}. Specifically, the decision-making of each agent in the environment is based on local information. In particular, the agent use...
m
003a3da391f389d330acca9f39bb1720
IDL (https://www.l3harrisgeospatial.com/Software-Technology/IDL), SolarSoft {{cite:f00003977afe2e0b142443e8cef974498116d7ba}}, PINTofALE {{cite:42c16c8a2e4d3c89a3e0840b1ce5fb75d0a89db6}} and EBTEL {{cite:a8f75fc56fc1059ab0eecb11fcba45748613bc07}}, {{cite:e5771080f06925642041945a145e2675b394de1d}}
d
efc38c8e441754bb1faed86ed28e8097
The proof of Theorem REF relies on using Lemma REF along with {{cite:8532ae934d4306af37b219c34726ca4a586ac959}}. Inspecting the proof of Theorem REF , one can see that any {{formula:00ebe4e1-bf00-4515-b67a-6699e0a1d4c2}} can replace {{formula:7b178ffe-6b46-4f38-9925-e7a463f6f56e}}The proof does not rely on specific ...
r
8b312cb3b43e550807adcd0588404a0c
There are several ongoing observations of neutron stars such as the ones with two-solar-mass {{cite:b1867b49e3d88268e4c5188c131f457363bc1efe}}, , , {{cite:4ad1a205e497a3dfe16970f559f64b44cf1df699}}, {{cite:57c3b046f1e01e6792f5c8f086b02b2d73b35e5b}}, probed by gravitational wave detectors {{cite:84a0457401a8da72ef95eb54...
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a5f436fa51058a485bbd50ae9c774be4