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where {{formula:848f99aa-f99d-4aa6-81a8-ef8b3f91e658}} is independent of {{formula:be8d26e5-e18d-4470-87b1-8b6d3a4e5306}} . The proof is complete.
The following lemma shows that the the coupled term {{formula:3e3ac0d0-0823-4361-9436-1c33e441308d}} has BL-splitting property, which is an another version of Brézis-Lieb... | r | 01baaf901be852d6012af3a9df4b36ed |
We begin by using the MPLC to ceritify high-dimensional entanglement{{cite:60f8eaf57d59899cf1dcd48c7b4cc4539764b732}}, {{cite:c6def48859d6b0b4249297feeaca8d1103999ab6}}. To certify entanglement in two or more dimensions, one must measure the quantum correlations between the photons in at least two MUBs{{cite:60f8eaf57d... | r | e71364b6c0a353bd389113412b7c9ac1 |
Supervised Descent Methods {{cite:b20be5cf32742761f96e6d42b20aec03f55e255b}} {{cite:1679546efffe33d98dcf2c49db5d93188e16ccf7}} draw
strongly from non-linear optimization methods, which have been
classically applied to the face alignment problem. Supervised Descent Methods are
closely related to Gradient Descent Methods... | m | 5a74e87b2fdc5ac4878d139ad2ab3b56 |
This section shows that hammer also works in a multi-agent task with continuous control and individual rewards. Figure REF shows that hammer performs substantially better than unaided independent local agents. Like in the cooperative navigation task, results here are averaged over five independent trials, with an addi... | r | 58a5c77a496f1c53ac75deccb931dbe8 |
The successful implementation of representation learning in natural language processing domains (e.g., word2vec {{cite:a05e58518cf3d332e66ba9badda2cc97d2a07303}}, {{cite:f0cdfbeff253afc66b376fd7dd5a6d5b4c1ea80b}}) paved the way for new directions in network representation learning by optimizing the neighborhood preserv... | m | 3333eb2925e09b536f0b4c5664e16313 |
The fact that on-shell the trace {{formula:5398f161-8268-4ffa-8525-5a5729e3810e}} of the total energy-momentum
tensor of the system vanishes {{cite:9898728e9d5daa30812574e7ceafd3922291da05}} has implications only for anomaly of
global conformal symmetry. By adding a spin-2 field (understood as
matter not as a dynamica... | r | ed4d388f58013b68729d384217be56f7 |
Gradient-based approaches such as back-propagation are widely used for MLNN training, but have drawbacks such as being sensitive to the initial weights and a tendency to get stuck in local optima. Population-based metaheuristic (PBMH) algorithms such as particle swarm optimisation (PSO) {{cite:d330638fe9b79199061e56676... | i | a3121cdd9d345a5f9b893d705e63a5f3 |
More recently, {{cite:0a5fe10fd279be0af60aa458da2a95b586786f81}} fitted the density and gradient profiles with
both the DK14 model and the GPR method. They found that both methods produce
reliable results, and that the D14 method performed better for
gradient profiles. We performed tests using both methods to fit the t... | m | 45b0fcd93244357232048baea98620f4 |
Adversarial examples are an “intriguing property of neural networks” {{cite:f9c7bc2264fb923d377915a68fca98409f90b4b5}} by which the network is easily fooled into misclassifying an input which has been altered in an almost imperceptible way by the attacker. This property is usually undesirable in applications: it was pr... | i | 5709f9bd74ca347fe837f7e7f2320dc6 |
The flowchart of the first model is as shown in Fig.REF (fig:dwcc). The positive and negative (i.e., COVID-19 and non-COVID-19) CT scan slices to different distribution by Swin-Transformer {{cite:260524b603ba19bf059f61251712c02b41ac48f2}}, and determine the percentage in the middle of CT scan that has significant symp... | m | fc1f3fdfb8838ad1c17dbffc19b3963f |
Figure REF shows example tracking results of CenterTrack {{cite:32eb54441e03191dbc991a5b3e986ad8d0f68f5f}}, SiamMOT {{cite:cf20f4e1716691a609cb8ea13b654ed0107b6290}} and EnsembleMOT (CenterTrack + SiamMOT).
Just bboxes of two objects (a woman and a man) are visualized for clarity.
For CenterTrack, the woman (in green ... | d | 2ee054db74df8dffcfcbe9ba4c794143 |
Such dust layers partially obscuring the BLR could be located between the BLR probed by the Balmer and the MgII lines, as the latter is only slightly redshifted ({{formula:6ed489b5-15fc-4c2a-bbb3-f884826f4169}} =480{{formula:7209e25e-15e3-45f0-9df9-48bb6aed8500}} 100 km/s). To examine how our target relates to the bulk... | d | f73591ffefd1655629e112e26cdd2732 |
In this work, we did not include the general relativity effect on BH orbits during the simulation, but considered it in the post-process analysis to detect the BBH mergers.
We therefore cannot detect hierarchical mergers, which can be the sources for massive BHs detected by LIGO/VIRGO {{cite:681034906e2b426db9ac30564ce... | d | 909364ff9daefe5f1fc5b154dc2e1e61 |
Since linear equations lead to only exponential or periodic motions, analyzing systems characterized by irregular motions calls for nonlinear autoregression models which advantageously employ neural networks. Retaining the basic form of Eq. (), neural autoregression models can be expressed as
u(k+1) = N[u(k), u(k-1),... | i | 2fb4ceb2b2c26fab79523ff8994e0d4b |
In order to compare our results with data, we will make use of the connection
established in {{cite:aed84bb6e7375e075c478c34f2a9c9c6220159a0}} between {{formula:dcdd47e9-c1a1-4545-a1e4-59819f41cc7d}} and {{formula:2d5a5c63-46dd-4559-afe4-cb7fa3058a3e}} . Although the
power law fit (REF ) is very useful because it lead... | r | 9980e3894744264947f19d3a8c5e28d8 |
High-resolution VLBI observations are ideal for probing the compact structure near the central engine.
Previous VLBI observations of OJ 287 have provided key information on the parsec-scale structure and dynamics of the jet {{cite:9fcd333286ce447382afabb1e8c23fbfced2fdef}}, {{cite:35726b3783b0068c717badd44da5c5e24dfd73... | i | 1ea7557ebe03928757cc56294fb08ab0 |
Our strategy for obtaining confidence regions is based on the observation that the problem of estimating the location of a peak of a random field is mathematically very similar to that of finding the location of the maximum of the likelihood function. Standard asymptotic theory for the latter gives a central limit theo... | i | 8e703e19789cfa31d0455c89333a59f8 |
In online learning problems such as the multi-armed bandits (MAB), the decision maker chooses from a set of actions/arms with unknown reward.
The goal is to learn the expected rewards of the arms and choose the optimal one as much as possible within a finite horizon.
The framework and its many variants have been succes... | i | c8a4af2b8206987c92a10efe7d1f6afe |
We emphasize that bulk reconstructions that are causal in this sense cannot work for the interior of the Python's lunch because no causal horizon can intersect the lunch. The CFT encoding of the Python's lunch appears to involve highly non-local quantum gravity effects. An example of such non-local dynamics is the ER=E... | d | bc54012822f76cce668b5bcd317c2f5a |
Transformer models have been used successfully for various NLP tasks {{cite:108596957049a599e2f50e1cce24719539b3e474}}. Most of the tasks were focused on English language due to the fact the most of the pre-trained transformer models were trained on English data. Even though, there were several multilingual models like... | m | 6d8d56b92d354ea26dc3ef45a22625c0 |
The expressions we obtained for the Maxwell and Weyl spinors exhibit a Weyl-type classical double copy in on-shell momentum space, which follows directly from the double copy of the three-point scattering amplitudes. We then showed that this leads to the previously known Weyl double copy in position space, which applie... | d | 749e4d3b7a09ec98f1b92e31795dfa1a |
A fundamental constraint for any visual KWS system
is detecting words which sound different but involve the same lip
movements (they have the same `visemes' – visemes are the visual equivalent of phonemes; phonemes are the smallest unit of sound in speech).
For instance,
the words `may', `pay' and `bay' cannot be disti... | i | be996238b8886f06ff63abcfb3777cb6 |
As a data-driven supervised learning approach, DNN-based speech enhancement can be mainly categorized into time-frequency domain {{cite:4af434d5e6eddf83cfbef247c5658f8c2f347e21}}, {{cite:3227f700ad35d4101f82e559d03c40bb99c78c0f}}, {{cite:7ea6943bbb514172d25e3943c7c34994d7f6d14a}} and time domain {{cite:d607416db47303be... | i | 771994f27afd9d28e7c95420281153f4 |
Towards this end, we utilize the k-nn non-parametric density estimation technique {{cite:53bcb6e1de3d87de5a2dd1ec07ded2e5236c485a}} for estimating the unknown probability distributions of the data samples in the feature space of the output layer. In this way, we are able to directly estimate the posterior class probabi... | i | ad31ec56996eb027a8efc6358bd60dd3 |
The single network-based algorithm is tested with the stacked LSTM architecture with 3 hidden layers (all {{formula:06a34931-d6e9-46c0-b991-ed9b8ba63619}} dimensions). We choose the hyperbolic tangent function as the activation function and use the Adam optimizer {{cite:43d020906ebb22e9ced9c8684c3f28cf2f35c4db}} for t... | r | 9090061735d140b2d07fcf0c3c52dd1d |
To prove th1.1, we need the following two lemmas. The first lemma (see {{cite:85d8a4d3b19649975855a56ac840a294507d8ef4}} and {{cite:66dc2c2eff5d9914fdac44b5d992bb853003f5e6}}) deals with extension from a bounded domain to the whole space. This allows us to use the Gagliardo-Nirenberg inequality in the whole space.
| r | 26a2af6d9290ff14bd403743a518e69a |
Most of the aforementioned approaches against label noise require complex networks (often more than one) or extra data resources.
Given the early stage of this field in sound event classification, we are interested in exploring simple and efficient approaches, agnostic to network architecture, that can mitigate the eff... | i | 33065a1ebfaf4216cd78284260d7f0fa |
Our approach uses contextual word embeddings and permutation-based statistical testing to detect semantic shifts in scenarios where data is limited.
While our approach can be applied to any method based on contextual embeddings, we used the method proposed by {{cite:b3341a000ff1d05c42320d37e7a75aea76f1ab57}} because of... | m | 9d8868566ee8970f10308c64ae17ef6d |
We aim to replicate previously demonstrated racial disparities in end-of-life care using MIMIC-III {{cite:1060bb7a0242716e660cc47786cc8c9585e68bda}}. We take as reference a set of three recent papers which examined the racial disparities in end-of-life care for nonwhite or minority populations {{cite:6525fef058d9af786f... | m | 03fa7940eb9673e25b58ff143d6458ac |
Concerning the error analysis, starting from the fundamental estimate {{cite:4a56669c32687bf10343f2e593d7ccabd8fe645a}}, {{cite:86c0b4b379afbc98c8c88eefb2c0c469ee192d22}}
{{formula:7c679962-a401-43fd-85b1-5a35f157caa2}}
| m | e6808f8571c0bb933ef139360142919e |
The orders of the parameters are constrained theoretically and experimentally as follows {{cite:12aa46068f40440ed3146b1350605ea90da2f653}}, {{cite:6e4c585d54ce0923c7f73016af2d945e68e65027}}, {{cite:ae65da112cf2e03101f20d9e5c3b3af396133fab}}, {{cite:5c9d9c3ddf0d2a45a06fba47353a158e9cbcbbee}}, {{cite:0a2b145d3a05ed86d18a... | d | 135d59ae05fb675bfec0081096b748e9 |
While our proposed method yielded a competitive performance, there are potential areas for improvement.
First, we are aware that the performance improvement brought by the proposed method is not uniform across participating clients. Since the proposed RL agent jointly optimizes the whole system, minimizing an aggregate... | d | 64a5f71396bcffe03572c31d6ab1edae |
The macroscopic large {{formula:ca2ea8c5-0f96-44f2-b613-8d2685e4a51e}} behavior of the eigenvalues is described by the limit of the mean eigenvalue distribution as {{formula:ab487104-2b44-4fbb-984f-3cf75e39f996}} , which we denote by {{formula:02a90cff-9b8b-424b-af42-fc43e3d9b297}} , and which is independent of {{form... | r | a53591f204904c50f531dcde7fdceaa4 |
The production mechanisms and properties of winds from hot accretion flows have been intensively investigated (e.g., {{cite:90bb3f1822abce416c306184fe200e13d3e08f11}}, {{cite:1caf546c40f2ac29dce1b7959c4271350fb2f872}}; {{cite:0881c789306b35ef804f78c23ead4d74476df75d}}; {{cite:6a0fc57db7ceabd718886cd669db53e99955a064}})... | i | da60dcaaf15033b169d4bf061fe73736 |
For fMRI images, most of the publicly available datasets contain data in NIfTI format. We used two different data formats to train the models: one using the raw NIfTI version and the other using pre-processed normalized version as shown in figure REF . For self-supervised pre-training, we only used NIfTI data for all f... | d | 7a1b5d9eae24b2fd4a31656ab05b0ebb |
We present the quantitative results in Table REF and Table REF . TransResU-Net has achieved a dice coefficient of 0.8884, mIoU of 0.8214, recall of 0.9106, precision of 0.9022, accuracy of 0.9651, F2 of 0.8971 and speed of 48.61 FPS on the Kvasir-SEG. The most competitive network to TransResU-Net was DeepLabv3+ {{cite... | r | 62bedb14a6ebda8efe42ba40d534d2df |
Just after the second data release of Gaia {{cite:de6e87764b0f2d3b0f5c449cd88a26e648504863}}, various researchers deduced numerous values of zero-point offsets for trigonometric parallaxes {{cite:6b790fb44215b1d173c8609f36baa8f873830ba8}}, {{cite:b195e94b5c7bc70b3c4c0011690a14e58d33f1dc}}, {{cite:5eedf7f0e6c6ba4145c7a8... | r | 560cefd3b8bc00fd6f42a40a50e1ac42 |
Model architecture
DME is composed of two multimodal encoders based on the transformer network {{cite:ed4e6204fb0324857107e098c3daf289f8baf4f0}}. In AQVSR, both user question and a context video segment are multimodal, i.e. both of them are composed of vision input and language input, requiring a model for learning joi... | m | 3ffb1b161dd82fba385c02660920010f |
The detection of BH–NS mergers is of great interest as they are expected to emit across a broad electromagnetic spectrum
and have been suggested to produce radio flares {{cite:7b6f87d6b1a49283a02853b0932a5d4086d8899e}}, {{cite:8f7baa43b9b864c49039a8e3fa363d2f47299ac0}}, kilonovae {{cite:8429a8bd4a9998ff21566b24bc4a891c... | i | 6dd0b2924a0d62f3f4a479946265849c |
where {{formula:6abcb148-8c43-4b1c-806a-c10e4ea43cae}} . The random feature approach can be employed in an online manner where the nodes estimate the missing values online. In this approach, in each iteration of the successive approach denoted by {{formula:7cd93983-bc3b-4d83-b17a-0a47bba717d1}} , each node solves
optim... | m | f4cad96bdab029997e7d067d67e34f9e |
Systems with very low mass companions could either be (i) polars in a prolonged low-state of accretion, like EF Eri, or (ii) detached binaries that will eventually undergo Roche lobe overflow, or (iii) old polars that have reached the orbital period minimum {{formula:0d5c0443-39fc-4cd9-bf0c-36ca8f6ef8ce}} for CVs and ... | d | 6c8d94467eba42f9045b998d5f40d1d4 |
When it comes to offline settings, {{cite:db69fea8902ea197176cc3320891f0ee63a131a8}} presented a off-policy policy gradient theorem and proposed the first off-policy actor-critic algorithm, with critic updated via Gradient Temporal Difference(GTD) method{{cite:fe6077ae85db5d930a54f2c89ea75c4869a843d0}} and actor update... | m | 76d92a381cb7bdf0b87a635a156cc8f7 |
Similar to the findings in § REF , JARN advances the adversarial robustness of the classifier from the standard baseline against all four types of attacks. Interestingly, uniform noise image augmentation increases adversarial robustness from the baseline in the SVHN experiments, concurring with previous work that shows... | r | 742f63827ddabd92e202ce0438eb9a39 |
We compare the pronunciation accuracy of our Dict-TTS with other systems, including 1) character-based systems, where we directly feed character into the linguistic encoder; 2) Phoneme-based systems, where we convert the text sequence to the phoneme sequence {{cite:ab30c3f68c5f0d79beaf568b07c428ba2c98f0d4}}, {{cite:43e... | r | 825b726b8f866e990482f482d6e9b990 |
One common strategy which is shared across multiple methods for local policy search involves leveraging weighted probability averaging to perform parameter updates as opposed to using estimations of the gradient of the performance metric, which can be noisy {{cite:dbd1834428a3b2b98bdee0e96db6b8a1df76cbb5}}. The structu... | m | a3427b78cb5be0fb002bc1e515f6be7b |
Novelty search is helpful in this case {{cite:1e42ee14f2b3529525058437ccb435ea6d2155fa}}, where rewards are replaced by the novelty of the policy behavior, which encourages exploration. However, this method requires a behavior characteristic, which is domain-specific.
In addition, Deep GA with novelty search essentiall... | r | 9dcbc905167d651e437fb423bc01fb64 |
low 8 [9.0, 9.7) 10{{formula:a7336f34-1614-451b-ae07-1f2a048d2022}} {{formula:3c1d6b62-f99c-4b3a-913e-383bd6e50a26}} {{formula:3e67974e-f788-4402-9359-5412b3cd0b70}} {{formula:2c5dc2fb-a66c-44ce-96d0-d74232813b6b}} {{formula:13f34168-ea26-4ee2-a245-2ddf03dc61e0}} {{formula:1ad5cf81-0950-408a-b4ae-56dac1431... | d | 3974dfeecee0667fb896333ff725d54e |
In this section, we introduce our hands-on experience of deploying TWINS in the live broadcast recommender system in Alibaba.
As industrial recommender or ranker systems are required to response to massive traffic requests in a short time interval (e.g., one second {{cite:0dbb020e232d0198ad9a5225b1781503aa004a64}}), th... | d | 92047bbb777a67d576fd14050aea33cb |
In this section, a detailed derivation of the MCTDHB [or MCTDHB({{formula:97060383-a0d5-468b-86d4-02ff09dccbc6}} )] theory which has been originally introduced in Refs. {{cite:bd85e4dced1fbaec432525e4e9837464be01f0e3}}, {{cite:7e4c54530917e513c48343485d4972e8f32b5478}}, is presented. It originates from the closely rela... | m | 4b16ea74632968bd53b04d8c4532b25b |
Ablation Study. We conduct ablation studies to evaluate the effectiveness of our HSVA in terms of the structure adaptation constraints (denoted as {{formula:e70ede7b-8818-4758-a7af-4eb507fb77c5}} ), distribution adaptation constraints (i.e., {{formula:d15ea573-6bea-468a-9771-d9f2a0b38a81}} ), and only inverse CORAL {... | r | 3076ede66260c655cb397e55b0b34763 |
See {{cite:106f480343e153af6d60d7b1d5984336b81ec974}} for more details on this definition. Then it follows from the regularity result in {{cite:106f480343e153af6d60d7b1d5984336b81ec974}} that {{formula:9fac8c52-de02-474d-83ff-8104e55d1f42}} is locally Hölder continuous in {{formula:5e6c887b-2517-404a-b22e-3bcf343f28a7... | i | 056bb99cf5ab23ed6f361bd386a169f3 |
Another issue associated with the MCMC is the proposal generator. The earliest methods developed by Metropolis {{cite:0d02350d3ad3a46e87b6950510f7ff3a51c634d0}} use the random walk to generate the proposal. Many other methods {{cite:1f6901dbe1c5e65823a122add6d338a7a8539d5a}}, {{cite:250267b6afe5b75084bb18b7ba303b756e85... | i | 2b2a33c8e12d544aba9e9ba0bd710d1e |
In this method the interacting Hamiltonian {{formula:7be67c9a-3519-4fb5-9c3a-b3d31ae38a31}} is decoupled into
two non-interacting parts {{cite:2471feff8c1e36e2eaf3c16aa983094c05d0fb98}}, {{cite:2fede3b06702d8504d0c8c69e99930882fc08074}}, say, {{formula:edeae952-968c-486f-832f-e5f7df7ee381}}
and {{formula:32c8eeda-e72... | m | dbac5667335f3339816238f40c3d91c2 |
{{cite:3a9100505128384bd6c1c05815d7cd8c5c7a135a}} Nallapati2016AbstractiveTS first proposed to use an RNN (i.e. encoder) to encode the source document into a sequence of word vectors, and use another RNN (i.e. decoder) to generate a sequence of words as the generated summary based on the word vectors from encoder.
The ... | m | 83b4f100396603429ee4bad7be46c6c2 |
Normalization in Transformer. Previous works have demonstrated the importance of normalizations in transformers {{cite:e91294a5ff6d0dadadcfb4045269adb9a095fdbf}}, {{cite:a9aca359173aab57cf00b569e23cca84376c8fb6}}, where Layer Normalization {{cite:afa3110ec5ac93851e5e04d76d8571172d50357c}} plays a key role in their su... | d | 599c829c38be878e9030c9723b1fe948 |
In this work, we follow the standard mechanism for privacy protection by adding randomness at certain locations in the machine learning model.
Another way of improving privacy could be to exploit the intrinsic randomness of ensembling algorithms such as subsample-and-aggregate {{cite:07a34d0df27980d7b1e2347af1c40224afd... | d | 456aaf6e8d003e68f5395d45dbdeceae |
A better global view: Based on transformer {{cite:f1723ac4085decf7e168abf0a67f148bd34ac064}}, a self-attention layer connects all positions with a constant number of sequentially executed operations, whereas a ConvNet layer requires {{formula:53efc25d-f224-4de7-868f-e819ea08a85c}} operations, where {{formula:846097c3... | d | da6749e73ee308c4360f8380b52d45d3 |
In numerical simulations of {{formula:4c1be6db-3c0a-4643-aa68-93fce84daa3a}} dimensional, incompressible, flow, a turbulent steady state is generated by adding large scale friction which removes excess energy from low momentum modes. More precisely, energy is pumped into the system at the driving scale, {{formula:432d... | d | 87bd2adb6625615b86b949a122d58c38 |
The numerical simulations presented in this work reveal very rich collective pattern formation phenomena.
For rigid active particles, the symmetry of individuals determines the symmetry of the interaction potential and, thereby, constrain the symmetries of emergent patterns: self-propelled discs may undergo dynamic clu... | d | 844b4b3f6823db0c3a003818057c6a1a |
Ablation Study.
We conducted the ablation study on the val sets of PC, MC and CS datasets, and reported the results in Table REF . “MEA” denotes using the MEA loss consisting of {{formula:bb29c5b7-2878-43c7-989b-b00c503e6417}} and {{formula:bd246611-ed37-4609-babc-87719325116c}} .
We used the SOTA WSSS method, namely ... | r | 671f4e9ab657399fb5facaeeb96c224a |
Our DGMN2 is related to DAT {{cite:6f8e8886c0cd1c9743cf9d5efec2bc995ccfb415}} and Deformable DETR {{cite:0c2790da98e6aeb69537ff60ef2864b0b3a271e0}}, but has key differences:
| d | 0796fe3af0bbe07b6169220284eca528 |
The reported results in Tables REF ,REF ,REF show that Vision Transformers have great potential on FGVC. Moreover, our experiments show that attention-driven augmentations and important regions detection help to improve their performance on fine-grained classification, achieving state-of-the-art performance in Stanfor... | r | 947b6f5d8ce99f7cd71528c1e43bd5fd |
Early analyses considered collective disorder to be a return to a “natural condition”, whereby crowds temporarily forgot civilized behavior and instead regressed to more primitive ways. This phenomenon was referred to as the “madness of the crowds” {{cite:80e390093e8b6fe904467890d56bfb78f29bdd3c}} and “mass enthusiasm”... | i | bda41539b3a172fa43bece1e51c9b075 |
Polar Kerr angle measurements under magnetic field.
We first present the polar Kerr angle {{formula:711e5454-9cc6-4dfd-b735-b9d0477ad21b}} under magnetic field. Because of the Faraday effect of the lens, there is a background signal contributing to the measured {{formula:a7b87f95-35e1-49f9-85e0-8812f43cdbf6}} . In ord... | r | e18a79caf58e2f4fc03f9922acc582de |
More extreme nonlinear dissipation, enabling one- and few-photon Fock states, could be achieved by combining these resonators with matter systems supporting single-photon-scale nonlinearities (e.g., cavity QED systems with photon blockade {{cite:4f4e5ff7f54f4d1d74c0dd97e130f18b6f5b73da}} or Rydberg atoms {{cite:dce31a0... | d | 0e47edcdbde90e7dbb568efa0e058b3a |
Asymptotic root distributions for sequences of univariate polynomials has been a topic of study in analysis for many decades {{cite:33ec249eba5ca67f8f08f6b6b0579c97f7ab0b6c}}. In particular, sequences of polynomials with all real zeros are important in many branches of mathematics. Such polynomials possess several nice... | i | 0518b099cf3a11c617b3892094cc75e6 |
We have run a series of Monte Carlo models to predict the diffuse background in both the FUV and the NUV bands for different combinations of a and g. We used a baseline of 100 million ({{formula:16d7c3b1-7801-4975-85ab-31ad5501c7b1}} ) photons for the entire grid but used simulations with 1 billion ({{formula:65553782-... | r | 6fee42189fa51c6e8bfd3aaa4528d05a |
Furthermore, as mentioned above, any point on {{formula:3db9c932-bc0c-4f1d-8e55-1f69cb7fce27}} can be treated as an interior point of the domain. Then it follows form Theorem 6.17 in {{cite:1c8e1509c34b5b7cf80cbf119459b077ed5b3419}} that {{formula:cd5bb790-58c4-46db-9460-1bbfd32d35cd}} is bounded in {{formula:d0469be... | d | 9745524abfb844a1952b58a767ff204d |
For {{formula:b2ff8ec5-f719-4941-afcf-26f76baa750a}} trace theorem {{cite:ade678b7de5d19e29ea577c5ec7debd6060f4e6f}} shows the existence of a {{formula:0dc5598e-d908-495d-8dca-f2bd066fcec1}} such that {{formula:f4536363-66e4-43f0-a652-2a6391a6c547}} on {{formula:9458b542-31bb-49fd-9d3e-19fb06503da1}} and
{{formula:... | r | 162f82f08a2582a8d507dbe9426e797f |
One typical low-rank matrix estimation method is the low-rank matrix factorization (LRMF) {{cite:fd40f18ccecf4ccf8af1f7a0fabea8570e08f4ca}}, {{cite:716bf40295a4a0d55155ac639488a0433342fc63}}, {{cite:c2a4584951dc11e7cfdc8662d92b811f1ef36057}}, {{cite:0bca87dad70fb88bd7a4a0f2ad5472caa2272d92}}, {{cite:a7ee3226a5f2476bc78... | i | 5bacf3c8acb03722040721535c7d6e55 |
Formation of photonic band gaps (PBGs) in photonic crystals (PhCs) has been explored in the past three decades after the discovery made by Yablonovitch and John {{cite:1b155dba64bd84c6e7a8771651d9d881e059ea79}}, {{cite:cb092dbb96f2d4eeff01ca6a226aa1eec4a2aea8}}. Although wave propagation in periodic structures has almo... | i | 2a805a8541161ceea17969b0c3ef906a |
We also note that, our method could be improved for task-specific applications through hyperparameter optimization and using different neural network architectures. Our aim was to emphasize on the method and the associated geometric intuitions, and thus we did not focus on finding the optimal hyper-parameters. Similarl... | d | dc4d217e58679966a863a86a9ae67ffe |
Inverse probability of treatment weighting of marginal structural models ({{cite:4c348f2ec1f2ef93feeefb1206d3bc16630e5f54}} {{cite:4c348f2ec1f2ef93feeefb1206d3bc16630e5f54}}, {{cite:97cfe6d4069b784fb020d0a307a778d09a4fe0e1}} {{cite:97cfe6d4069b784fb020d0a307a778d09a4fe0e1}}) can only be used to estimate how a treatment... | d | 1ac7d9136e174c0a2437d69b5e35b46e |
While we compare our architecture to an LSTM, it is possible that transformer networks {{cite:12bee0a3bc332ea7090f848cdd5233e4bb3569c4}} would perform better in this setting. They currently represent the state of the art in many sequence based tasks, including visual tasks {{cite:9a45b40777a681865f5064dbebd816e26237b89... | d | a60dbb76a03ec2be29dc40b5f135d6d4 |
Our lower bound is proved via the non-deterministic variant of the polynomial method {{cite:fc1f20cbd38a0e3ab1b15e29d84dc5c312399a14}}. Since it exceeds {{formula:a3f43546-555a-484c-b6f4-5c3d4c161502}} whenever {{formula:ee592ff3-00d1-47f2-9eaf-e1888504f357}} , we cannot obtain this tight result from the standard poly... | r | 89072b5b856a12f2303863b2bcf9aedf |
We evaluate the performance of APM-LR against baseline example selection methods for logistic regression on a variety of datasets from different tasks, as measured by holdout test accuracy and selection compute time.Code at https://github.com/siplab-gt/APM-LR For each method, we follow {{cite:5457bcd241a1df114e107fbcbf... | r | 1144cac6c020090e3df04645b991055d |
Maximizing the modularity function as in (REF ) is not limited to the
Louvain-type method considered in DHNet.
Other modularity maximization techniques developed for a homogeneous network may be applied
to (REF ) with some modifications, such as the spectral method based on the eigen
decomposition of the modularity mat... | d | 315599f6c3112f5a97f7018f5ec10366 |
In the A-type systems ({{formula:cc270c46-4e67-4cd8-ad3e-2d1e64c1b6b4}} ), localization-delocalization transition (LDT)
appeared with increasing the perturbation strength {{formula:65fba574-3f25-4380-8e49-cf3e9be5d2ea}} .
The critical value {{formula:1e61fe20-9b48-4390-b188-be0a038cb0c4}} which appear the LDT is {{for... | d | 9cd94a2575c094c77518197a771cf421 |
The Schwarzian derivative (REF ), or just the Schwarzian appears in apparently unrelated fields of mathematics: from classical complex analysis to integrable systems {{cite:cab2f769903d686526ebd251efbcbf31f136deff}}. In contrast, in the physics
the Schwarzian appears either in the transformation properties of the confo... | i | 4973b3ef9af945e1bc259acf0c5f064c |
We first provide background on spatial and spectral pooling, and propose DiffStride for learning strides of downsampling layers. We focus on 2D CNNs since they are generic enough to be used for image {{cite:0062ceff4a7c4881afec398d9d206b0e4241cddd}}, {{cite:ca1373c399fa774e3e669c9caac258302ebc5920}}, {{cite:f1285a097e8... | m | 0cd34ef6aa3ec6fd351137b874ab3e02 |
One common problem within neuroscience, in general, and for the specific technical challenge of creating a robust model of cognitive load, in particular, is the limited availability of EEG data. This is often due to the difficulties in recruiting participants, or faulty recordings, or the presence of various artefacts ... | m | c7b2c9edbede7fca369409ae487d3a18 |
The intuition behind the proposed method is that the known distribution should be uniformly distributed in latent space in order to effectively minimize the distance between new samples and known samples under the constraint of a limited number of known samples. This can be done by relying on learned feature space repr... | m | 8451a6b8f09efdc138a2b8bdf2bf2652 |
The total decay width {{formula:204f9213-a728-4651-9f87-b85b81e34aff}} of the {{formula:7ef23836-7f66-44b0-b439-f83701137ac9}} meson in the free
space is composed of the partial widths of the {{formula:0302fccc-bdec-4dce-9cb0-806ac9c0e871}} meson decaying into
various channels, i.e., {{formula:2c1491fb-2b18-410e-936... | d | da508325bdc9c138003069b556f81687 |
In this subsection, we do not aim to describe the mathematical models of dynamics in open and closed quantum systems – the details concerning this subject may be found in {{cite:2497a9f774b1453d8a01e08f362df205b9fb7a6f}} and {{cite:3118fb5d0dc97fbe096e35a66f0e1a1abf34ba74}}. For clarity, it should be recalled that for ... | m | cac4036eac5a8b082b9f0ca1b291c40d |
The persistence of a periodic solution under perturbation for retarded functional
differential equation (RFDE) is presented
in Chapter 10 of {{cite:5c98cecf1e2c25247874fa70a8fcc755472da627}}, notably Theorem {{formula:759096c7-2890-4247-98cf-56cb8cd0dd48}} . In this section, we present some remarks that can help the sp... | r | 4b0d7a55852f487555d7d9ddd0a52b61 |
Recently, the theory (REF )-() has attracted a lot of attention for many reasons, one of them is the simple way to add new degrees of freedom through the introduction of a scalar field {{formula:34121f84-6833-41cc-8d33-1ed28f3e0b55}} and avoiding Ostrogradsky instability (see for example {{cite:bf05678e0256f5af4e60ee8... | i | fa0ff6fdd3b58201a186252d8f8a1566 |
This section describes the methodology to predict the spatio-temporal dynamics of physics-related quantities using a convolutional neural network. The trained network follows a typical auto-regressive strategy {{cite:cec153f2cde216dd132b46dd12a6265c9e5ee007}} to produce time series of high-dimensional state vectors.
Th... | m | 531ac11295d36dfc5943f1f9987ed373 |
Creativity support systems have been extensively explored for both professional and common users in computer graphics and human-computer interaction fields. In particular, the production of character animation is a common creative process in both entertainment use and industries like game and film developments, sports,... | i | f33ebafdf5614a35a2173e9cc8f6ed85 |
In the experimental realizations of the auto-thermophoresis {{cite:c3ec244d0bc458840e9546da5b1352db1fd1f540}}, {{cite:8ba36b2768783be45df07632051821f3ac967d2b}}, {{cite:db04df88551e0bf1f12bf4c7ae596f34b9ba4581}}, materials that have been used so far to fabricate a thermally asymmetric particle include microspheres made... | r | 7082f26de0eed972ad2261532d79abf4 |
Beyond this first bifurcation, our mass-conserved RD model predicts different dynamic behaviors depending on the regulatory motifs. These include sequential pattern formation, transient pattern formation, pattern scaling, and pattern splitting in growing systems. In line with the well-established literature on domain s... | d | 6d6db321391424354106314d04d68648 |
At the stage of direct coding, the encoding rule of ANN is to convert it into a genotype {{cite:31f043d06b76fa0dcf77fc8cf13ba0f77672ab23}}.
In order to generate large-scale, functional, and complex ANN, some indirect coding {{cite:3cb2d516ea6e510b0f94b372c8da7c59d238507d}}, {{cite:e772cea5dbb1bf5df3123e919386aab6f10653... | m | 7f1c13ace2f23ee1a90fcabbce41e0c3 |
In comparison, GAT-based recommendation techniques outperform the baselines in terms of both metrics. For these models, we experimented with different numbers of hidden units, attention heads, several dropout values, as well as residual connections. The models were trained using an early stopping strategy after 100 epo... | r | dabe707699b81db927a230811724b7f7 |
We also conduct experiments on Waymo, as shown in Tab. REF . Following {{cite:33cc536970573668ef2fca1871f24746cd4db63f}}, we evaluate the vehicle category with IoU criterias of 0.7 and 0.5. In addition, We also adopt the nuScenes metrics to evaluate the results since the IoU-based metrics are too challenging for camera... | r | 4d46bf2d3e882bb4c9e938a02517a00f |
Using the classical Gibbs variational principle {{cite:f0890cc3c9bdbb58840b51b66a0fa395e7d44ced}}, one has
{{formula:3608a423-d3d0-4fe4-b7f0-24ae4cbfcc6b}}
| i | f1ecbc837e3c05c050aa38eaf2409b08 |
Experimental searches for lepton flavor violation in muon decays date back to the late 1940's {{cite:787b44d23974534280108c5ad6d437acd2658d18}}, {{cite:355d16179fe8aaf68e0274cd203d6377cd1725c7}}. The most sensitive searches as of today have set the upper limits {{formula:c42f3dde-9c9e-4787-918f-cae97cdef133}} by the M... | i | ab24705b4c025099adaf53f935abd429 |
Astrophysical probes. A striking prediction of wave dark matter
is the interference substructures inside a halo. These are order unity
density fluctuations on the scale of the de Broglie wavelength.
The density can even vanish, where
complete destructive interference occurs. These are locations of
vortices—a unique wav... | d | f2e21ada71f67fe560a4bf570c03d181 |
Recently, several works proposed biologically plausible supervised learning algorithms {{cite:5ba8812487abe89789fad2a1c80801b2162848aa}}, {{cite:11a1c3887cade35604cac9c7c8df04660602d70f}}, {{cite:072d5016d543ce8486da8d9458e9719a53445164}}, {{cite:7b867dad3baf819a1a8f0a3ebddd98e308de00e2}}, {{cite:e4227d1ebd42e2dfd8720e... | d | 6f5ca85ee6138fb26ec6468255bd3dd1 |
In order to write a spectral approximation which avoid aliasing, it is sufficient that the distribution function {{formula:fb983f79-acf1-4635-ba62-7d172e75a6fb}} is restricted on the cube {{formula:1c5f7703-02e0-4a40-b199-1277f5524777}} with {{formula:9a5371d0-eed7-4600-b95d-203ca79ff87f}} . Successively, one should ... | m | 8ae14a4c62464a100f1705874089d568 |
Preliminary analysis of the experimental data suggested the coexistence
of negative and positive parity pentaquarks in the same energy region {{cite:b87fdb48b540937c3e4fbba6caab822ee6bb741a}}.
We have studied such possibility within our model.
For this purpose, we have calculated the mass of the lowest positive parity
... | r | 3b5e50af5d86a0f6ae4f1e931851c702 |
Recently, In Ref. {{cite:1a6204fecc4bd10ddb791b436652c0986b404c98}}, Jusufi et al. have discussed shadow images under an assumption that a supermassive compact object at the center of our galaxy
is the Bronnikov-Kim wormhole
and, from observational data on the orbit of S2 star {{cite:884ea1a5f124352c138597a88b90715d5c... | d | a3e7a43e1e63b7b28f7f80b8fa4d20a4 |
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