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We compare our DeCoNASNet with six lightweight networks (SRCNN {{cite:3f18b38e576c155675821f60c5d296221eee5caf}}, VDSR {{cite:647097b617dd289db1e32f5d1d34b0cc9ed1d78d}}, MemNet {{cite:f8c487ea1a1b7d2c271bdd02531cdf5ae2d90387}}, LapSRN {{cite:414ac2c530cff4142019238c9530818c758e1f4f}}, SelNet {{cite:b00b74e944fb3447cbe0...
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d1f2fdafb02dd57db122be3c5b09808e
In this work, we predicted M1 radiative decay widths of strange and charmed baryons in SQCS using isospin-broken effective quark masses from EMS as well as screening of quark charge. We estimated isospin splitting, masses, magnetic, and transition moments up to charm baryons utilizing the inputs listed in Table REF an...
r
c3ea636fffb0cd39699ba22d98a33dad
Traditional methods mainly rely on hand-crafted features {{cite:7d05353f866aa5b5a7d69dfd7dadf153c256fdcd}}, {{cite:14e6d17afcd45f7620685ea7bb8f131f412ab8aa}}, {{cite:04531f8ade99f0ddfe013e9ff01e3a033c61e073}}, {{cite:d46246f69468940a028ffc1e28f11eda7bcb88ea}}. Lately, deep learning-based methods have made great progres...
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d31ae1fe25edeb601e0746db4f0a9dea
In this section, we focus on a transformer state-of-the-art model, which has been successfully applied to the tasks of text, image, audio processing {{cite:ded9d8b20725578411799310c95881e5f2e5f83b}}. The transformer model is well-suited for processing channel data since it supports the variable number of input elements...
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d7bbc79ee1324ff70f139c6f98ea3e71
Interestingly, these constraints are of the same order of the ones coming from Gravity Probe B {{cite:39cfeee15c452049746e1774b1c96af583db55c7}}, which is the best satellite experiment so far. On the other hand, we should point out that the best laboratory constraint on deviations from Newton’s law still comes from tor...
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1035add44a46afd1142bfec88eb4b32e
The {{formula:af4349c5-01a0-47d5-963d-768e64a6798e}} CDM model faces, even at the observational level, some (yet unsolved) problems. The most important is the “Hubble tension", which originates from the serious differences between the values of the Hubble constant, {{formula:bd5b2bd2-05ca-4dfa-a075-2596cbfa1502}} , as ...
i
954bda61d89845804e40efeb6653f89d
By a computable {{formula:5995461d-9baa-4c28-ad13-d76f31e5f964}} -continuous domain {{cite:7c02823120be5a49bef88c215bcbfe283cdfc68f}} we mean a pair {{formula:0553f010-94f7-4a6e-8a21-7a2343173479}} where {{formula:8264d4fb-24c8-4605-af99-a4ae08f2f1cd}} is an {{formula:8d1cd09e-065f-40a5-959f-58e6d37b4004}} -continuou...
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9aa70ba7d5b332d3865d93454bbaa189
Heinrich {{cite:7e18aa2ad510fe3985888226d3805b603c471582}}, {{cite:b0475a4fb696888134055cebfe61d77b60aae284}} introduced multilevel Monte Carlo for applications to parametric integration. Motivated by applications in computational finance, Kebaier {{cite:546445486e874ef45c76419ce69ab0f385e727b7}} introduced a two-level...
i
d991179536450b26d1613691290122f0
for {{formula:32be5c7f-3baf-4714-b840-461bca95b5b5}} and {{formula:40a18e30-fd2f-4aad-967c-00636562e76b}} The integral in (REF ) defines, for every {{formula:353746f0-6333-4250-9dad-e28801cc9cd7}} , a contraction on {{formula:bc6d084b-43c2-4787-94a6-169d8162bb98}} , for every {{formula:26f0c75d-4541-439c-9f06-58a072f...
i
9f0102d352447c11a31f4c9f4d59ad0d
Finally, we point out that geometric thermodynamics is related to several fascinating topics, and has the potential to clarify the geometric properties of these topics. The classical correspondence of shortcuts to adiabatically for the stochastic process {{cite:fc96d14506b584cfe2059bdbe728d8d85ae836f9}}, {{cite:3d42dd5...
d
3983f8752a9ba45dd315e23defbf7f58
To evaluate our method, we train and test our model on our D2CRealSR with scaling factor x8 and an existing real-world SR dataset, RealSR with scaling factor x4, x3, x2. In addition, we validate on DRealSR tesing set for performance of cross-dataset. We compare our model with other state-of-the-art SISR methods, includ...
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f8813e1eed764a15d3e4ecf185968e4f
In Evolutionary Game Theory, cooperation is often modelled as a strategy in a Public Goods Game (PGG) {{cite:aef7a6939afbaad5813ccfc272ed344ffd0dd634}}. This game offers the possibility to analyse the main dilemma of cooperation: the tension between self-interest and the social optimum. In the PGG, individuals interact...
i
54891e751476d9597e81151b3ce35d50
UA properties can also be established for two-hidden layer neural networks. The difference to the one-hidden layer case is the distribution of the nodes in each layer. According to {{cite:5ff7a2455e559e4a90a33152903a692938da6913}}, on page 517, little is gained from a theoretical perspective by the inclusion of an addi...
r
edf2a5c6201533ad772128f9d7e6807a
NEUT has a long rich history, originally developed in the 1980s as a tool to study atmospheric neutrinos and nucleon decay in the Kamiokande experiment {{cite:6db7c39ec15da8108147ad79251cfe78ec0ecb40}}, and some of the original FORTRAN77 code is still in use. NEUT continues to be predominantly developed and maintained ...
i
fec98e1caf33b12990fd8be2cca44408
Although perhaps similar at first glance to the other two regimes, the subexponential regime is more sophisticated and requires a much finer analysis. In the subexponential regime, {{formula:31e16fe8-4976-4a13-8b37-5cf18c86ef12}} , we prove that the SVP formulation of {{cite:3fbb789da073f37624050f26ed126f04618ec3e4}} w...
r
9941d78c16f21e5528aa0712e4bc1292
In Fig.  REF , we visualize the standard deviations of generated frames over 100 samples for Improved-VRNN {{cite:44da6b052b58e4760cd5d6e3e9363225e1704215}} and our Conditional model. While the uncertainty is mostly uniform over the image for Improved-VRNN, our model can pinpoint it to the foreground regions.
r
f3e9426985d11e7980e858edaca26c7f
The loss function {{formula:50ba7e51-0975-4872-969b-58bed2898b9d}} assigns a penalty when the model does not predict the outcome {{formula:16773e09-2471-44a6-abf6-e8a056d876aa}} well for example {{formula:bafce85e-4c72-4d70-8d97-10de9e4a9f64}} while the regularization term {{formula:4781b270-84d1-4c31-9fa2-4683986a...
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e5f4f4a8545ec85659f22411afbe5939
While slightly beyond the scope of this paper, it is worth mentioning that LSMR (or LSQR) can be used as the inner-solver for the Alternating Directions Method-of-Multipliers (ADMM) algorithm which has become popular for MRI reconstruction {{cite:07c6b343f8a699474ae5444c098e2920c190e33c}}, {{cite:3e50c7554b27d3968b9849...
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d2e3fc8c2565f23e8e34ad41ad1563b0
From Eq. (REF ), we can find that the contribution of the first term due to the direct {{formula:a0ab5f46-d532-48fe-aeed-50970d1d4252}} is comparable with the second term due to the {{formula:fc88fb12-791e-4f4c-b38e-526b6f0f541f}} mixing. Within 1{{formula:3541736c-0540-4476-a6b0-73831244c861}} uncertainties, our th...
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f4ae5141bf183ef6a98dffd4b2665bac
We shall discuss results from the systematical scans. In Fig. REF , we show plot {{formula:c5fd4964-c747-4e36-94bf-4e3d09b53a52}} as a function of {{formula:2fb44e37-40fd-4407-970a-91f54294c75e}} . Gray points are consistent with REWSB and LSP neutralino. Orange points satisfy the mass bounds including {{formula:78a5f...
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8fe77482163d2c690828ac124782d15c
1. Regret from deviating from expected reward: Note that regret compares the expected optimal gain {{formula:ef036344-bc8c-4af6-9d04-0c4a5469e554}} with the observed rewards {{formula:7d429000-f385-41b2-88bc-ccbf879e7fa6}} . Since, {{formula:b2715bac-3223-4824-ba6a-8324bf46f924}} is a random variable between {{formul...
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54476b8a6509098c9893b35b50127a85
That fermionic model is an interacting system characterized by a breakdown of the basic Fermi liquid quasiparticle picture. Indeed, no quasiparticles and no quasi-holes with the same quantum numbers as the corresponding free fermions occur when the interacting fermion range of motion is restricted to a single spatial d...
d
07213d6044d94f48beb3fb91f1c7d89c
Typically, a predictive model is defined as a function of predictor variables (e.g., the customer id, the product id, and the categories of the product) to some target (e.g., the rating). The most common approach in predictive modeling for multi-view multi-way data is to describe samples with feature vectors that are f...
i
62978e94106b9695dcb380fcf21ce806
Of course, exponential Boltzmann distributions also form a basis for expressing probabilities in quantum phenomena {{cite:ab78520701a7a2be6f97d90f666abb69d228e6c6}}, or the size distributions of raindrops {{cite:b6f63285217e497196c95ce90aa66b4c595aa211}}, {{cite:2712a16a5f71239ea34b4d775f50742096075013}}, and examples ...
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d12ecb7e3569548dda364459bf2be475
where {{formula:00ba6b78-9cc0-472c-93c5-81f706af58f3}} and {{formula:98d10352-7763-4036-8bba-b03e55ec0337}} are at most second degree polynomials while the degree of the polynomial {{formula:71ed71d4-9465-474d-9245-831e2474a534}} {{formula:2ac1945e-86fd-4cf9-9afe-548230a37e6b}} is strictly less than 2 {{cite:d774c2...
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7198fb9769565a1f6734a90d865756c8
To counter adversarial examples, researchers have built models that are robust to adversarial noise {{cite:6554bd99b958f024bbd55932e2a5d6a7ee8f50a3}}, or models that can identify adversarial samples {{cite:d44f353efef1e6798ce7bf39d4d7e2a659efea6b}}. Akhtar et al. {{cite:6d1cd807a9bbb2326ab015371019c7ed5a057cfa}}, Yuan ...
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55652474acc38efc6e0b4c7db7e659d4
where {{formula:e808fdf1-70fa-4147-9f7e-2f74af897afa}} is the {{formula:707d92c4-4860-459a-b499-b8126a2340e7}} order covariance matrix of the process, {{formula:7b8966eb-1c73-4f01-9c61-c592f0ac6667}} denotes its determinant, and {{formula:73a191ae-d439-49d6-b83e-b57fd3a833f6}} is the variance of {{formula:b0451948...
i
6fffcd400f618a7575897e0fabfb2806
Spectral and singular value distribution results {{cite:67095d7a224ac1898bb48f516f1c453df760563a}}, {{cite:42a0a0c6a9ce8ff25ed3803f72d9a8722fd0e99b}}, {{cite:6705b6cee51fe4707491aa569d6a8262e20b890a}}, {{cite:02399595896e3047bdfb83cdeaca6354c567fd31}}, {{cite:d2bb3fb2cb3e71462577e293d6ecfbd52a3463f9}}, {{cite:6a13296c1...
i
9c79468a96b7bd51d2ef17b22e949369
Quantization enforces the DNN models to be represented by low-precision numbers instead of 32-bit full precision representation, leading to smaller memory footprint as well as lower computational cost. In recent years, numerous quantization methods are proposed to quantize the DNN models to as few bits as possible with...
m
405ea7014b88f10b006b1b82ec0763c9
Frameworks for PIM. DualityCache {{cite:a461106575e43ddf5461ce59726217ce36346fbc}} is an end-to-end framework for in-cache computing, which executes a fixed set of operations in a single-instruction multiple-thread (SIMT) manner. Employing DualityCache in DRAM is not straightforward due to the fundamental differences b...
d
5968f50d948249b328f52ddb03a3e1d4
On the other hand, most of the previous studies on the Penrose process were focus on four dimensions. However, whether our spacetime has extra dimensions is a fundamental question in modern physics. In past one hundred years different types of extra dimensional models were proposed, such as Kaluza-Klein {{formula:39115...
i
e3dd0a775c1f4c849f1908b402b7c3ac
In practical, most of real-world datasets have long-tailed label distributions {{cite:969478fa3cd12248baf1fdb0f683c708c19dd156}}. As a result, deep learning algorithms usually perform poorly or even collapse when the training data suffers from heavy class-imbalance, especially for highly skewed data {{cite:b2e9eb002652...
i
13ed0f69f5d9443c32fb5330191747a0
Generally, there are two event-based approaches that have been proven effective, namely, event-triggered control and self-triggered control {{cite:9f81829c0d43db4a364f5284f7ecad10b09c109e}}. In the former, an event e.g., a data transmission, is triggered only after some designed triggering condition is met. This condit...
i
84998bd311a0a8de69e3272849542aed
The theory of isolated systems plays a central role in astrophysical applications of Einstein's theory of General Relativity. A particularly influential approach to this theory is through Penrose's definition of asymptotic simplicity —see e.g. {{cite:a43f654ef5167c4c7d7dc6a58f8a1c396a26752b}}, {{cite:44cd0d8857f64e1cf5...
i
b5ec495d9c2443a7eb9620b0b511a552
Finally, as shown in Sec. , the general theory of the massive graviton admits the flavor off-diagonal terms between {{formula:10d98cc3-fbd3-4402-8bae-ca18a370d4a9}} and charged leptons in Eqs. (REF ) and (REF ), which would give rise to the LFV processes, such as {{formula:27f8e944-12b5-4eec-bc4a-0259d9e151b1}}  {{cit...
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c06ed31c2c14bfbcb5ec72a62a8f7e21
The masses and the decay constants of the final-state particles are from {{cite:c65d2ad4fef8d774d44de3f7bf6729926374b99f}}, {{cite:01e288ab56264d2c79b5bb4e9887b911c23cf8ca}}, {{cite:ad6bd289ea34ecdcc6f1031f649dcde9a025b5e9}}. The transition form factors in Eq.(REF ) have been computed out by several methods. We will us...
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ffbfb4fbcbf955844cdfbd777acc2f30
We illustrate our methods with an application to air pollution levels of NO{{formula:8c9ae6f8-7a64-484c-be47-9e8b96a6ccc9}} at a single location using a hierarchical Bayesian approach and the integrated nested Laplace approximation (INLA) for inference. In general, INLA requires the model likelihood to be log-concave ...
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4a52687342fd110517511d35c3d9e1a9
Both {{formula:5b34c946-2482-44d7-80bf-b33d887db60b}} and {{formula:1e9b921a-bac5-4501-a3b8-473efba2df8c}} can be used to estimate the importance of different features in categorizations. Thus, this approach allows us to estimate importance of individual features in agendas (and categorization given by them) obtained...
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8ce4973ef8b01e7ed5df3b45c8791439
In order to access radial flow, mean transverse rapidity and its azimuthal distribution are introduced {{cite:ba44e304cf0f7c5c383561aca6e1503d92725d56}}, {{cite:2197f44d75a453d379ccac63d4296dde6137acb4}}, {{cite:8b7c854f849842d28e9eaef9fecd815e6d2bfaaa}}. Where mean is the average over all particles in a specified azim...
i
c9fd88fd34a7e69db62d48d444776d3d
which is situated between {{formula:19603495-e089-4f36-b1f8-d55d94f6c63c}} and {{formula:d5300320-c052-4099-98d4-b46beb59ac0a}} Finally, in noiseless situations, Mo {{cite:a01c0285682b77c95c7edbde8ffcc0a1d808f2a9}} showed that the condition {{formula:7d61d426-31e5-48bf-a64d-2ef1afc4a5e6}} is sharp to guarantee the s...
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c03a56d06cffa56dd44748db88bee6a8
Substitutions on finite alphabets and associated dynamical systems generated by shifts are well studied from dynamical, topological, and geometrical points of view {{cite:a69211daf18d58d212455f9e8336704614c2bbea}}, {{cite:bb12e8155c20bc5916e65a454defb1696a0f9091}}, {{cite:e53b5128c5450360e005f000d1457f08c07a9e85}}, {{c...
i
daecf759447c49192627dd038c6c0262
In the paper, we compared our algorithm against different algorithms from various categories: non-learning (elastix {{cite:d63bdac3160c41cf577aada5f7b1229f8e066af4}}, a popular conventional tool); hybrid {{cite:4f5048b97206fdd5b51e824bebf9c386e2613931}}, and GAN-based {{cite:ea56a9d7086d6ff9c3dc7cc15046b9d9a2da1a95}}. ...
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454ab333f53830acf10dad0ba9fec0b6
One may compute {{formula:8d8f5277-148a-47f4-8707-cb136798511f}} as a function {{formula:d1b7cf01-c590-49e1-b24e-dae27b3f589a}} and {{formula:17b37cee-5b8b-4a3e-a43e-a1f321ed3905}} to locate the region that this ratio is much less than unity, which means that the energy level width is much less than the energy {{cit...
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b1ecc3d452da01a1dc3ab5492172aab6
The optimization in Section 3.4 can be further controlled by the user by defining bounds on the value of {{formula:7a020e5a-0a2e-491a-98ac-2a1a08ec5a0e}} . If the user wants to guarantee some level of change in the image without allowing the image to get too close to the protoimage, they can place an lower and upper bo...
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3afa3baddd7999bac82146b112f5d18d
First of all, we give an overview of the algorithm which is presented in detail in Algorithm . [tb] VCFR [1] {{formula:57b3cc39-4e98-4cb6-8563-6008ff684dd8}} Sample {{formula:0c81d9ac-38db-44b6-82b2-0e810d067351}} according to Observed rewards and transition probability from unknown environment each update Sample re...
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28333bab9cfaa2afc62e8e508abe66dc
The theory of integrability for differential systems is classic and it is useful in the study of dynamics of differential system. Integrability has different definitions in different fields. Here we mainly concern the algebraic aspects of integrability for polynomial differential systems, which involves analysis, algeb...
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709d4d9de1ba6d121408238594abb70b
The problem of resolving two point sources has been intensively studied as model problem for optical system resolution characterisation for more then a century. For a long time only visual observation of the light coming from the sources was available, thus resolving criteria were based on visual characteristics of int...
i
dcb7002bb6f7aa82e773f92307d62c1a
In the experiments reported in this paper, Python v3.6, {{formula:93ac9429-a7bd-4474-9967-0fe31e885f42}} Library and Sci-kit learn {{cite:a8ac2f143e0f9fb8d786efc44dd42b1b331c80d2}} were used for the implementation. Each experiments were executed 10 times and the average result was considered. Each dataset were split i...
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d4497fc161bd77aec067852c3692ca1e
RNTK: We only used single layer RNTK, we {{formula:b6e4c7d6-687f-43aa-ac6b-8a1eb21fdf00}} and the following hyperparametr sets for the variances: {{formula:72876402-1727-482f-a76c-4e7946c8c137}} NTK: The formula for NTK of {{formula:627f15e8-cb1f-4b2c-b2cc-b4e598a881ef}} -layer MLP {{cite:54589919f06314f828c66675a...
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87621610c1aef6c7d62f8358150052e2
The limitations of General Relativity (GR) on large scales led to the investigation of astrophysical processes in modified theories of gravity, e.g., theories which provide improved models of the accelerating universe. Among these modified theories (some of the review articles are listed in {{cite:28bcc2df22b08e3b6ecf7...
i
ee5481f93ebacad5a8dbcdf1435ede42
We continue the training with the ground truth image- and optical flow data from Sintel {{cite:33d4ac0d56f082554bd1e37c7e6ea6cd8edd7bee}} and KITTI {{cite:4cda4ada7d286b699010b67327c07ae74d99c27e}} to compare with other methods in the finetuned regime. We again follow the training schedule and settings from RAFT {{cite...
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a7290a3fb06cf8ea2c77d982d9850671
Alongside the advancement of NLG models, attention towards their limitations and potential risks has also increased. Some early works {{cite:d6c3541408f96d69153a9f27f9ad9963f53b7b36}}, {{cite:560b03c5fe540e64588dd97a7a785d5849ed9de5}} focus on the potential pitfalls of utilizing the standard likelihood maximization-bas...
i
b79f8e4a78905f2d9e2d74a5dda1ffd9
where {{formula:cdad8405-87b5-4a75-8211-27b7b94cd584}} is the constant of normalization. Here, the initial quantum state {{formula:213d494e-eeed-4692-8eff-b8abb6971f93}} can be the leading eigenvector of any Kraus operator {{formula:80a29429-3241-4d18-8dcd-a8c846d2b2a4}} (see Appendix ). This naïvely suggests optimi...
r
4c23e2446bd6c047f463d6fd5c331cc4
In the equilibrium statistical mechanics of lattice systems, the non-uniqueness of the infinite-volume grand canonical Gibbs measure is referred to as a phase transition {{cite:3ba851f55312a269a28409fae360df1c7cb7e8ee}}. The presence of such a phase transition can then be detected with the help of some order parameter,...
i
5026332b024d492c476c90e5ba66c839
To improve the interpretability of the DeepAR model and explore the impact of the considered features on the model output, we also perform the computation of the Shapley values {{cite:633536f1af888daeb89442fc47aec1ecc8a23efe}} of the model using the SHAP library available for Python {{cite:1e199566e57c5695d94408923d0b4...
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a312933227c877c24131f73d261e75cc
Results for this experiment are presented in Table (REF ). Despite using a much smaller pre-training dataset, training for just 12 hours, and using less than 50% of the parameters, our model outperforms the LSTM model described in {{cite:c4e8b5be0c026b596a968569a515a812f5ddd6b9}}. We also include a self-attention based...
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411f3266d2d0fc1621bdb341da549f74
In this section, we provide additional quantitative results on KITTI {{cite:714d84724e439a5173aa03c23063ff46eaee6a8f}}, {{cite:fa0a33a60e027e0680201165357fc2262172caea}} in addition to the ones presented in the main paper by comparing the proposed shared encoder between the pose and mask to separate encoders for each, ...
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786c9ed9e556879ff0e1a12dcd1323cd
Applying Theorem REF to the generating function (REF ) (cf. {{cite:ca47722ff6d9c0818ec55473995350a2cd208e89}}), one finds that {{formula:ba662a59-8b08-461a-aa59-5309cc37ecf1}} as {{formula:657b83c9-72e9-4c54-a06f-9b3c89640d1d}} , with {{formula:63bef9aa-9ef5-404b-818d-cf766c7a9e12}} ; this is Robinson's constant. The...
m
1112ebed0edb77f37d6818a4f292a48b
Overall, we believe this work brings a new perspective into questions related to Hamiltonian complexity {{cite:54b58634c88aa1476a59e41a2fbbcdef3eed94d1}} by focusing on problems that can be solved efficiently by quantum devices, unlike problems such as the QMA-complete ground state problem {{cite:856f74ec9c3958edeb3b10...
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de93b45fbd88e108dd5adf09811349c3
The use of higher dimensionality such as 512, in DCC layers is shown to perform better {{cite:bd97fea332aa3b78d96c8162e6b12cded3590278}}. Using the 512 dimensions in the transformer decoder, however, can make it computationally intensive. So, it is better to run the DCC encoder at higher number of dimension than that o...
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6f76bbb3854ba4adeb1c9fec140685b3
Note that by duality (see {{cite:3367243dd52ad9ac49399b01b563c113db3083d0}}, ch. XII, §2) {{formula:ae109200-d85d-4093-94eb-30a59de853a8}}
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fc324fda2d0a60c77c9e6a0523b6cc7d
The monolingual and multilingual models offer comparable performance according to all measures and across all languages. This indicates that including other languages into the train set, besides the target language, does generally not improve performance of the models, especially if the training dataset is sufficiently...
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3312340476f5a56bd456c029cc0728a4
The problem of estimation of functionals of parameters of high-dimensional and infinite-dimensional statistical models has a long history going back to the 1970s. A very incomplete list of important references includes {{cite:e6d5bdf75cf95239673ac54a1bb797071ca6010c}}, {{cite:c1d9a24c3e94d7dc99379741281c2217e6fbb249}},...
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f0aee38de513bf12e1e4a2bd60fa6ca6
2. An experimental detection of the axion particles is evidently a demanding task. As mentioned, the haloscope approach may be a feasible method {{cite:1c9694400b768b8b48b35b5e3f5952b71e9e9718}}, {{cite:0afe65095400e55ce39d2c8f0d3ed0380ea3b55a}}, {{cite:f5b14b30e2027d127684f4d6514b8831e0992811}}, {{cite:f61d22b64e0df19...
d
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The positively drifting type ii structures have also been interpreted as being due to downward particle acceleration at a termination shock generated by a reconnection outflow ({{cite:29f29ca33f62e635907b1a1ab29f0a4d6309e65c}}, {{cite:83ce73c5860af5f008534477dca9e0a341f22a54}}, {{cite:8be2bdb9a63d3d12781e93215dc89f2590...
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b25e0999154c7d9c2992c52146be1e6a
which we can solve by the well known subgradient algorithm {{cite:25f8db3d9b65458c05986ed4efb157af696f1ed2}}. From now on, we concentrate on the calculation of the subproblem (REF ).
m
3360342eb528cf9ad94642443b460a7d
VGG: is a convolutional neural network (CNN) model that achieved significant success in The ImageNet Large Scale Visual Recognition Challenge (ILSVRC) competition in 2014 {{cite:891d22b44b0583da43060fc4fa9e4f014370381f}}. VGG consists of sequences of convolution and maxpool layers. In our numerical experiments, the VGG...
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(For a more precise estimate of the error term in the Prime Number Theorem, we refer the reader to {{cite:6035220c5b5823263850cd35d6aa5e0b97d973a0}}). Furthermore, for {{formula:791964bc-3393-43a1-b678-a464371090fc}} , we have {{formula:7c95aac2-efed-4ce1-82f2-da1966e3105d}} . Hence we get {{formula:11cf78d9-a97a-465c-...
r
4a77e46e7ecd143b37d425eaa7c2d0a3
In this paper, we formally derived the asymptotic posterior normality for the family of GEV distributions under blacka large class of priors. Proposition REF demonstrated that the posterior approximation can be easily obtained if the parameter space {{formula:7888a60a-ea2b-415f-9f98-f17302d43e48}} is compact, as is g...
d
ef1ab9dc12e8e2edf7ba8e4094dd1196
Optical flow is intuitively a matching problem that aims at finding corresponding pixels. To achieve this, we can compare the similarity of the features for each pixel, and identify the corresponding pixel that gives the highest similarity. Such a process requires the features are discriminative enough to stand out. Ag...
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703f0420b6c60eed0d0bfea9eaccc6be
To be able to talk about thermodynamic phases, phase transitions, temperatures and so on, the system under consideration must reach equilibrium {{cite:561f19ed80af6c724a2399c641b64ad6e0db3b1a}}. Only at equilibrium, variables such as temperature, pressure and entropy density can be defined, and thermodynamic relations ...
i
429e63788164b50e04829b49dfd90396
In the star forming regions, protostellar jets are observed as proof of star formation. Jet and outflow driving in the star formation process has been investigated in core collapse simulations. However, in many simulations, the jet driving was investigated only in a limited parameter range {{cite:8e40562ebb6ebaf96743d4...
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Figure REF (Right) illustrates the ROC with respect to the pixel-level measure. In Table 1, we compare the pixel level EER of our approach to that of other approaches. Our method's EER is 24 percent where the next best result is 29.9 percent reported for the method Li {{cite:8ffe4266d5ef65101ea1b88bb5d264eb7b857d36}}....
r
0229576bde8736d9881c6a5a01dc97ce
The general position problem of finding a largest general position set of a graph is a generalization of the No-three-in-line problem in the {{formula:e43ae5d7-3cf4-493b-9950-7b48c393e3f7}} grid from discrete geometry, which can be traced to the famous Dudeney's “Puzzle with Pawns” of his book “Amusements in Mathemati...
i
5a2e73dc5825f9900dd0b3ca5f27e5ba
Coherent control of quantum states plays a significant role in extensive practical applications including quantum information processing {{cite:fc740f91668ab03cb0d325128e74f1f01c004b5f}}, high-precision measurement {{cite:e8c1bbb6fdfa7ee24adf7761c7d08c7413a9b98c}}, and manipulation of atoms and molecules {{cite:b561a08...
i
4575463ca459fd183696af4b5cb65367
In fact, analyzing the effect of dynamical friction of dark matter density spike in a binary system is not a new idea. Nevertheless, most of the related studies have focused on the binaries of the compact objects (e.g. black hole binaries) rather than the BH-LMXB systems {{cite:84b95150008c0e485bd85ebfa2e2bcc61bc5039d}...
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aa79b56c72f28b808e32fa11e91da7d3
In addition to the studies on some aspects of the new solution, we also discussed the Kerr/CFT holography associated to the spacetime. The agreement of near horizon metric (REF ) to the general form discussed in {{cite:9d2c75b0a10e03911e3dc9f4a50ff0b0cffa9422}}, {{cite:a65fd786184602a9e8dcf4e9c2cc6fa05fba8e44}} allows ...
d
36a97be29c9c14511bfa5beb1fd20022
Finally, we recommend consider alternative inference methods in order to account for larger datasets, which is currently an active research area in computational statistics (e.g., {{cite:9bf54c84931b9532935758eb9562dfda70766def}})
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c2aea142354718477848000ed7a76f03
    In this section, we test the original PINNs with different weight selections {{formula:41a2f550-67e1-4190-9e60-41a40efe7a87}} for the sake of contrasting their capability to represent manifold equations with lbPINNs. We aim to highlight the ability of our method to handle the classical Navier–Stokes equations, whi...
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0cbf14117933e8ecd4cc0fb91233634a
where the shape parameter {{formula:8abce3ea-ff98-43d9-8fb8-9a13d32b0f44}} GeV has been fixed using the rich experimental data on the {{formula:6ad406cc-60e9-4556-801d-23daa1f0b21b}} and {{formula:ea1c8799-80f6-44ab-a704-dcdb8fea6a7e}} decays{{cite:fc283edb906c56f4ddbbf8f53c58ccfb74125804}}, {{cite:95dcc2ac1d082b4956...
r
489963f91c5ee965b44524141f40764f
This sounds more or less straightforward; however, finding the global minimum of a nonlinear function such as {{formula:2729e296-ae39-478f-9a30-3536be14c9a4}} is an NP-complete problem {{cite:a7e11210b185b198cdbd482b92317bf3cb84ad3e}}. In a practical sense one cannot expect to succeed with such problems. However there...
m
a2cea222dc666a5e3e0a8c9fc166c1c3
Experiments. We first created explanations for the same data point following the methods of LIME, SHAP and SAT, which are described in detail next. LIME  {{cite:ff509a873e554941ae54f9893f983324ab8e2b55}} provides local explanations of model predictions global by creating an approximation near the input. Feature importa...
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976b245f81a74de73c5f7655b7969b7b
where {{formula:03a0a956-f05b-4007-9e6e-c1c102a73e60}}{{cite:c2f96c6a8380f38e77de211684c71b267be9a579}}, {{cite:18fdf27edf451dad4423f5987bb51c254cf0a31f}}. Therefore, the initial length {{formula:f4f5ac36-f143-4b21-a788-9da114a5e943}} of the loop decreases as {{formula:db803d57-2933-42d8-a38f-95349735d8ae}}
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945a79e15eb9e411f930e01c69fe4ed7
Against this background, this paper considers continual learning by extending EWC to PSFA, which is regarded as underlying multimode dynamic processes for the observed sequential data. The proposed method is referred to as PSFA-EWC. Data from each mode arrive sequentially and unknown modes are allowed. Moreover, the pr...
i
d235c7419fbc1e519e7b206bef18aad5
Circuit-QED solid-state systems {{cite:0ad2e5fe3f35e9a9f68d36afbc6f1e0900720706}} made of artificial atoms (AA) and resonator modes {{cite:5abf9290f3531f0ffc5b183344ad56819996523e}} are paradigm models for studying fundamental physics from measurement theory {{cite:0ad2e5fe3f35e9a9f68d36afbc6f1e0900720706}} to quantum ...
i
e2957a61214e813e7882da06363cca6f
Li et al.{{cite:b29ce6ad89bf634108659d336d2ea17e18d01fb2}} developed a whitening and color transform (WCT) method for style transfer based on a feature transform. These methods can achieve a real-time, arbitrary style transfer.
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f95708881c8a83034688a277338d0554
Various post-processing modules have been proposed in the literature. Modeling of the image-prior, based on maximum a posteriori (MAP) criteria is used in {{cite:ec75ec8ad6c1f70e18edc7b108c3b277c35ab428}}, but it is found to be quite more expensive than handcrafted models. The post-processing method in {{cite:9a6925ec8...
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06aa196749968f6dd903f6cd1c6af8be
The DFT+NEGF transport calculations within the local density approximation (LDA) {{cite:4953cc68a33438c7d358082584b62d3b1937ad0e}} were carried out using TranSiesta {{cite:1f37e0d26a04f047a3e7df0f5a1a8d7bc60d3d81}}, {{cite:dca54a71fe4231e6fd9bcfe3ac84eefabde21676}}, and the post-processing codes TBtrans, and sisl {{cit...
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fe669e7c7270bbe456bc88a031de88af
Due to the lack of work that only focuses on text and audio, we compared with models that also considers the visual modality. We compared our performance with two recent state of the art emotion recognition models on CMU-MOSEI. Specifically, these are the graph Memory Fusion Network (Graph-MFN) {{cite:b7189cebe26f621f4...
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331f7e796c5673f74c56e75e004b1c33
F1 evaluates the average of the F1 scores between the positive and negative aggregate predicate sets. {{table:1439da91-8076-4684-8882-2835aff2652a}}{{figure:cab06673-4083-4c2e-b7ef-fbd9ee99f447}}{{figure:ab6b735d-ee31-430f-a1ed-adee39ef780e}}Baseline Comparison Table REF presents the scores for the baseline, GoalNet a...
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f2133fca5fc0918d818ca8353ef83230
We provide additional experimental details on the validation split of the KITTI {{cite:2035059542c4d70fcc72d421e181b1e22f9b479e}} data-set in this section. In tab:kittivalcyclist, we first show the 3D and BEV AP for moderate difficulty on the Cyclist class for PV-RCNN and its variants. The table shows that both our pro...
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2f1d58ff53daa9cafcf7892b35d44436
Here we show that one can. To do so, we build on two recent developments in deep learning theory. The first is the theory of infinite-width networks, which has shown that, as hidden-layer widths tend to infinity, commonly-used neural networks take remarkably simple analytical forms {{cite:cb45d6e2ea6d0789a8e01f5b6b892e...
i
49c8ce1121b504c95e8088b1a37a8f34
Recall that earlier in this section, we suspected that fixing the support pool randomly prior to the start of training may induce higher variance in the final meta-test performance over different runs. From the observations in Figure REF (c), we confirm that this is not true. We compare and on -5w5s and -5w1s over five...
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3263fb80a1dd318eac7bc2a7ec5bf740
The covariance and cross-covariance operators are one of the most important and established tools in RKHS theory. These operators are used in the computation of kernel principal components analysis (PCA), the kernel Fisher discriminant, kernel partial least squares, the kernel canonical correlation analysis (CCA), and ...
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45306031b9730da92a8edeb2dd561f35
Framework Overview – Our proposed framework is composed of three components: perception, task and motion planner (TAMP), and skill module, shown in Fig. REF . A Chemical Description Language (XDL) {{cite:0633e242c56f7b3c75ccca3919d9c973f68e2b01}} provides the experiment instructions as an input to the TAMP. The percept...
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b141ce38c63b751f69a2a85eaaff058e
It is clear to see that {{formula:6c273545-51ba-4b39-ab25-3a29507280d5}} involves the residual of the projection of {{formula:70dbe59c-55e1-4413-ba66-2604b9cc43ac}} on {{formula:19f32695-0e36-482a-9aa9-1875bd283843}} , so {{formula:9cf073f4-c29b-40d6-a6f6-d1237caadf95}} . Note that the latter is the variance of the i...
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fc42aa4f8537cb0b0a341bbd6c5a7cb7
E-commerce application as one of the largest multi-modal downstream scenarios has facilitated person's lives. And there are many product-based tasks in the application scenario, such as similar item retrieval {{cite:f087bfedff5303451b6c2debd3f14b4aa0828e91}}, online commodity recommendation {{cite:f5b659e0dae9e68a4053b...
i
4f4098727e2d3f5ce0d4167f43c8bada
The to-be-fused decisions are determined by the corresponding feature extraction models (FEMs), which have a large number of choices. As examples: (1) Standard decision (Std-Dec), the FEM utilizes a standard CNN-based classification structure, such as {{cite:49e26edb8b88c5d9eee34c61f2abcab6ce8a6554}}. (2) Meta decision...
d
37abf01b4f937661fdd07558b482e187
The DRL training and optimation process is relatively standard. We use Deep Learning (DL) as a function approximator that generalizes effectively to enormous state-action spaces through the approximation of unvisited states {{cite:fa078192f2b8cf41eff391043861f4ed12701de4}} as shown in eq:drl. {{formula:0f527581-a1a5-46...
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c149bbf41f2042a2beeed54c78f95065
It is important to bear in mind that the X-ray scaling method is not equivalent to making some general assumptions on the accretion rate and the bolometric correction and deriving the BH mass from the X-ray luminosity using the formula {{formula:3e1d4363-7a0d-40b2-b74d-e88e79e2a7fd}} , where {{formula:3324098e-51b3-48d...
d
7cacf2576d20a31e5007af2cc395a171