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m (-z) + d (z) ,
where the system's dielectric function is constructed out of two interfacing piecewise-constant (bulk) local-response functions, {{formula:942c8873-e29c-4ac4-9391-b90f2bc400aa}} and {{formula:a0a39692-16c9-4389-adb3-63cac57c9da0}} (and Eq. (REF ) is then solved by invoking the classical pillbox argu... | r | 1997848999830009be016e1abb3e42f3 |
The shortcomings of these explainers are due to their underlying assumptions which do not hold true for the majority of models, especially the assumptions of independent features and local linearity.
These assumptions are further impacted by the explainer hyperparameters, such as the kernel width for LIME or the backgr... | d | 5222e3f5c5568d3ce662f0f500f049fe |
In recent years, modern machine learning techniques using deep neural networks have had tremendous success in various areas from science and engineering: computer vision {{cite:09c021da5139b9acd026f79eb531490c9f391d53}}, natural language processes {{cite:b584b01f6141efdd7a207b815297c99095f10fcd}}, time series analysis ... | i | af36787eb5ac1917ae6faf6f6d2248e3 |
The above criterion provides both a common framework and an extension of various existing results in the
literature, such as the criterion for constructing regular contact
manifolds (cf. {{cite:096c5209b09023e8e4d83e796c5c146b986d2b60}}), and the cohomological
criterion for the existence of completely integrable contac... | i | 8d33690682e0854db227477135019d92 |
The determination of when to stop the training process is notoriously difficult for the training of GANs. To assess the quality of the generated samples, we repeatedly compute a custom version of the Fréchet Inception Distance {{cite:571ab158bb21a13051945bb7a70162eeda688ba3}} which is computed based on the features of ... | m | 1816e7ad10c6d079bddf9a53be9fc271 |
The primary drawback of our proposed estimators is that they rely on regression models to estimate causal effects. A major disadvantage of this is that, in cases with incomplete overlap in the covariate distribution between treatment and control groups, the estimated response surfaces in many areas are based on extrapo... | d | ec8f8b62abf10b4367d29f450ac64655 |
From a completely different point of view, symbolic methods {{cite:317e7db26a41cc915e2b7f4d2bd1c11621dd554a}}, {{cite:14979b6ce148a8b22dc1da0947df0c6dcb9e7727}}
(e.g. Gröbner basis method, Border basis method, Wu's method, and method of sparse resultant) rely on symbolic manipulation of the polynomial system and succes... | m | ce0f4d86e1a715b8641280adf837e545 |
where {{formula:187bacb0-dc88-4d76-9582-bd9f2c420308}} denotes the reference path loss at the reference distance {{formula:45a82df9-e67e-4870-861e-c00fd682ae5d}} , {{formula:02bc23f3-1a06-4b23-b425-d1a86ca4bddf}} , {{formula:4cf3650f-d4db-4b80-98e3-0be12322fc6a}} denotes the distance of the {{formula:4d2fe0d9-c082-4b... | r | 09644f90e3f84e5cc4147f60351de7ad |
Based on the solution of the multiple color light curves and the analysis of its uncertainties, we found that CSS J022914.4{{formula:6998513e-c5ee-40d1-a74d-7292ef86aa97}} 044340 is an extreme mass ratio ({{formula:0fa31f24-3cfb-4846-a73f-4c19d9954b78}} ), deep contact binary ({{formula:33afabba-66c9-4dbd-912a-425d93ba... | d | a8a08a1fa303861212a7345282509af1 |
When {{formula:6940f414-fd0f-425a-802a-6eebafeebb90}} is a square matrix with full rank,
the PDHG has a linear rate
{{formula:cecde622-9072-45ed-a8e9-a729cfcfded2}}
(see Appendix REF ),
similar to
its ODE analysis in {{cite:f08ccc679d128793a010bfb5b644292e6ab43446}}.
The standard proximal point method has a linear ra... | m | 768d8e023defdd5938642bed68496a11 |
Our first result is a positive answer to que:main-question in essentially full generality:
we show that concept classes that are efficiently learnable in the Statistical Query (SQ) model,
{{cite:6748d91d7b68077df83281336b09774b21fe785a}}, are also learnable from coarsely labeled examples.
Our result is similar in spiri... | r | e9fc5dc39f88b49b7c7f1e964eda5cc3 |
At present, a fully quantised theory of gravity is still to be reached (for some recent developments, see e.g., {{cite:41eed0d84d4ca0e37c1bdc63a154d108b02611d3}}, {{cite:0a1802e97014532dd8cd3d8dd78cc297d0f50d0a}}, {{cite:6bda0f6259431aad5f674350b467377c5348e451}} and references therein). Nevertheless, the effective QF... | i | 1be201d94829e0a24991016c3b2da090 |
Generalized Adjusted Count Models (GAC, GPAC). As noted before, the most simple work-around to avoid estimating {{formula:8e7034f2-aa55-44ea-b96f-a3844265ce36}} is to apply a classifier to build a system of linear questions as in Equation REF , and solve it via constrained least-squares regression {{cite:f6467291d6d2... | m | 59b1f45e2d07188cadf0777e01e4d681 |
Additionally, our study revealed that the Bayesian paradigm presented in this work is robust with respect to {{formula:9a6f2301-db78-4b88-95a8-31fc8757e96f}} , so that it can be started well away from the true value of {{formula:25925350-59d7-474b-81d5-86489a940bfd}} . In the case of the three-parameter Weibull distrib... | d | e17e18e1691957b52627f7a916d071eb |
Reversal mechanism. The hysteresis loops in
Fig. REF show that skyrmionic textures in
confined thin film helimagnetic nanostructures undergo hysteretic
behaviour and that an external magnetic field can be used to change their
orientation from core pointing up to core pointing down and vice versa. In
this section, we d... | r | b4689051e59c5f5df851627083784707 |
There are many occasions in real life when we have to quickly choose one
among extremely many options. In addition, we want our choice to be optimal in
a certain sense. Such combinatorial optimization problems are ubiquitous and
possibly quite hard to solve them fast. In particular, NP-hard problems cannot
be solved in... | i | c4c4e637e0280d8498259847de3da7aa |
To calculate QNMs, a master equation is derived under the background (REF ) and the perturbation (REF ), where the RW gauge {{cite:28f3ca43671c0a2bba9c4306bd1628cf2a043f0e}} is what we adopt. Notice that, in {{cite:f459c48e894133bffbb05a4aff4665e4466c5f5e}} the axial (odd-parity) perturbation has been studied, and here... | d | 3ee10282e8a3cd0ea0c52241e2348087 |
The minimal time during which a quantum system evolves between two extinguishable states is recognized as the quantum speed limit time (QSLT). This interval determines the maximal rate of evolution that a quantum system can reach. Regarding the literature, Leonid Mandelstam and Igor Tammthe had a pioneering role in for... | i | cb5e00ef5139e98579ec76f679ae8b5a |
The morphoRNN was proposed by Luong et al {{cite:5193f82abf3fd91d8ee134921e8262e7a82c75de}}, which has been introduced in Section . In their work, they proposed two kinds of morphoRNNs, cimRNN which is context insensitive and csmRNN which is context sensitive. Since the context sensitive models are consistently better ... | m | 28befb44815d29f7914166f6e62dbd67 |
where {{formula:847a5ce0-07e6-4f93-82e6-7c8850694bac}} is the one parameter Mittag-Leffler function {{cite:1c4d179a0a85cb51ebb3a5e5cdb6f04aa1ec3010}}.
| r | 6fac1dbeb3c968fe150546e9344bce39 |
Unless stated otherwise, we set {{formula:3e9939a8-625e-4bee-a33b-f34cff8b3285}} . Four users are evenly located on a circle centered at the RIS with a radius of {{formula:adcd9008-591b-4a31-b399-b7b8a249f0db}} m as in {{cite:53751aa3bfd6c42fa6e6211b4fb9458cfa3c134d}}. RIS-BS distance is {{formula:b4a7cf7e-bc9e-4544-a... | r | b9169cb021f6bdca21c20b19ec29357d |
In time, the equations are advanced using an implicit-explicit order 3 additive Runge-Kutta (ARK3) scheme {{cite:d94eff31fb41d2040e9ed55fac2802a5bec234e4}} whereby the non-linear terms of the governing equations are treated explicitly and the linear terms are treated implicitly (see {{cite:101133fe8854bbf08cc9c58e2d7a2... | m | 400248956c0890a7b6c833c18b09654d |
In this section, simulation results are presented to numerically validate our analytical propositions and the effectiveness of the proposed I-HMA protocol in the IRS-aided UL transmission system.
As shown in Fig. REF , the BS and IRS are located at {{formula:83404ea7-ceff-4e0b-9a79-0dd932b95d17}} meter (m) and {{formu... | r | c98aee8d37e1e71707718f47efc7965b |
During the last century, the analysis of a great number of phenomena modeled with dynamical systems, i.e., with sets of nonlinear ordinary differential equations, highlighted the existence of at least two time scales for their evolution: a slow time and a fast time. This was transcribed by the presence of at least a sm... | d | 5b4f51b0aea0cc6ca4cdfd1a928f14b9 |
RAND: It is a weak baseline that randomly picks up explanations from the collection.
It is devised to examine whether personalization is needed for explanation ranking.
RUCF: Revised User-based Collaborative Filtering.
Because traditional CF methods {{cite:8ddec65e84182ad6a675939ac6828aab7b30f982}}, {{cite:bf90b33ab9... | m | 4fde6d0c4e5b06e09f5bfc37579719fe |
Matching-adjusted indirect comparison (MAIC). The trial assignment model in Equation REF contains main effect terms for all three effect modifiers — only covariate means are balanced. The objective function in Equation REF is minimized using BFGS {{cite:863f86e16abb6f3c4b1b3dd1c06b89d69294a7cb}}. The weights estimat... | m | 90a233e83a7dcca71ae40c7d21a10e12 |
Most recent work focuses on time series data, where observations are time-correlated and
the interaction graph is inferred from the joint time evolution of the node-states {{cite:e470e1f85fb4f2c1944b0b1b96a26f3681eb1a99}}, {{cite:6bb64f6891690a39d2548dc1a430012abb912b7b}}.
Naturally, time series data typically contains... | i | 010408d8244b62c7008dcc631de820b4 |
With the availability of large-scale annotated datasets like ImageNet {{cite:3ac4084bb60a350ddb0887453ccd00c5353f0825}},
convolution neural networks (CNNs) have achieved unprecedented success in computer vision {{cite:9b04988ade624ca733d726f08f0cd58c2e39b198}}.
Benefiting from CNNs, medical imaging research has made gr... | i | b6b90ec9a0ecd5c814f41d77ea60256c |
To recover what EEG features are necessary to obtain an accurate facial emotion classification, we must first understand which XAI methods are reliable. With this goal, we analyze the following methods: Layer-Wise Relevance Propagation (LRP) {{cite:813ed0e1ea5db69f6d208a896a0b4a2972e2cc5c}}, {{cite:9d184507ab0258a1eeea... | i | c5c6e737c118c36dd9e41230a51bc9c7 |
As a practical matter, evaluating series approximations derived from our
framework is straightforward but can become tedious when one
desires to include many terms.
In these situations, computer algebra systems or numerical software can readily
compute the required expressions. Moreover, manipulating the resulting seri... | d | 4668e4cab1aa3c427853284370a7882d |
The results indicates that it is more valuable and informative to provide training data that evenly describes the latent representation space generated during self-supervised training, than it is to provide training data that evenly describes the targets that are of final interest to humans. Figure REF shows the repre... | m | 2dd612ffb3e46ac1439bcaf24fc4e6ca |
Since the 3D scattering volume can be tuned via a p-wave Feshbach resonance {{cite:c2b25322f9460aba8008b16efb75c2ba6f846cd1}}, the confinement strength can tune both {{formula:6d7f59f6-9b10-480e-b2f9-f7402b8d6b8d}} and {{formula:405f7fdf-1f19-42c0-858e-51a5c5c09da0}} ; a phenomenon called the confinement induced reson... | d | dd7d016e848b1cea99df954c0ffec20a |
Comparing our algorithm to the QAOA is also interesting from a different perspective. In sec:ansatz we have seen that our ansatz can be regarded as a special case of a QAOA-type ansatz, where instead of encoding a problem Hamiltonian we encode a graph instance directly, and include mixing terms only for a problem-depen... | d | f7a7e3da80950f2b57d18270d21bb229 |
for any vector fields {{formula:5e568f5e-4c7f-4afe-a1d6-2692123b0e50}} . Obviously, any Einstein Riemannian metric {{formula:82a1395d-fbed-496b-b99d-d32479105e70}} and more generally any Ricci-parallel metric {{formula:b984cea1-9898-474b-87d6-520f95e9f3ea}} satisfy (REF ). Thus the interesting case will be where {{fo... | i | a80661c3e6bcbb4c9e0b5a4555405843 |
Large pre-trained language models (LLMs) have brought significant breakthroughs in artificial intelligence (AI), with impressive results approaching human-level in various NLP tasks {{cite:3de45aa285a0431038610927b236a948cc7eefc0}}, {{cite:2a629d5d31faa6210dcf0e086e3d66a6260fca40}}, {{cite:3c6b139be9de07f48d30ec1d3fa5d... | i | b19623284746f58158ff903573c161f6 |
Experimental setting: Due to the lack of previous study that purely utilizes web-based image-caption data to learn to segment novel object categories, we compare our method with several popular zero-shot segmentation (ZSS) methods, which also segment new object categories but via exploiting the relationships between th... | m | cb015e966cd92b0e880ef41a78854e74 |
A neural speech-to-text model transforms a source speech input with {{formula:0d45edf0-2990-44ea-b5aa-85ea19429617}} frames {{formula:48de88a6-acbf-4122-8a3a-a6d4ab5e4a72}} into a target text sequence with {{formula:0b8dc571-c8f4-4330-a97c-e99db3c33dca}} tokens {{formula:77a7257a-156e-4878-a2a9-588501fe7737}} . The ... | m | 680b7aa98f8e96c8bea349949aca4388 |
A lower bound for {{formula:b96bfebe-c6be-487e-a40d-bf10fd4d92a5}} dating back to Yao's original article is the invariant {{formula:8220f329-7f73-4fd7-9498-802856a9c0b9}} which is the minimum number of tilings of any {{formula:4cbbe366-69cc-4089-a15a-50b122a4565c}} -monochromatic tiling of {{formula:f26fc2c1-c4b6-4f2... | i | 53d651074c39282194fb69bbc0aabbac |
Multilingual machine translation models {{cite:f2ac4a2570daddc637d67f46197d4b62a82a1c90}}, {{cite:4815af08c6a41f416d22d3749836e1d52432b824}} translate between multiple languages. They have better parameter-efficiency than building one bilingual model per language pair, and they are able to transfer knowledge from high-... | i | a97dc3740e4dd7b1811d29a9ae6dcf8f |
We compare K-Arm with the following state-of-the-art detection methods: ABS {{cite:edf18b51825b72b857758fbd3ea65006a665e522}}, NC {{cite:57e5e82526bde4340d61fe633ef136fb10ead110}}, NC+pre-selection {{cite:57e5e82526bde4340d61fe633ef136fb10ead110}} (or Pre-selection for short), ULP {{cite:81e8cb06c53b251a7c82e01b71a9bea... | m | a7461ac0f3b6a7389400755390f02026 |
For character frame matching, all visual encoders outperform the random predictor and heuristics {{formula:e6ae5402-2393-40c3-bb10-b2efdcb21b9d}} and {{formula:ce37d06b-4f3f-4445-96c7-b92503653050}} , while {{formula:a1a71a97-f900-46a2-9284-5281c040471e}} outperforms CLIP and R(2+1)D. The compound scaling methodology... | r | 343020ac363a3118c8ec8756cb6a70c4 |
where {{formula:eb9fe864-6b10-4511-9c48-ba256ee6b750}} is the upper critical field including only the orbital pair-breaking effect {{cite:f46632863312e786e96b98a6e5b69b04cdc8816f}}, {{cite:f92efe0865d234c35f9aa6f656b811875b0137ff}}. Considering the fact that {{formula:cad8b105-30f8-41c5-9ad9-d70a3f6eea82}} ,
a simple ... | d | 0b6a5f78e95d1d3400d598fa460a7cb9 |
Inferring models to predict future behaviour based on past observations is a key task permeating quantitative science. Ideally, when two candidate models require storing the same amount of data from the past, the one that offers predictions with greater statistical fidelity is preferred.
Here we demonstrate that quantu... | d | 52359151dbbff26331fd8f919a6e978c |
From the point of view of an inertial observer, such as Pelagibacter ubique in fig. REFc, the global de Sitter vacuum appears thermal {{cite:9f858b79f9380c00e7c658b8d83715ba1b1c1cb9}}, {{cite:82eb0a5123a880084547ed6107194f8dd4d7c741}}, {{cite:0befab84c8657c6d5b490ef4ad82f35c8ec76212}}: P. ubique perceives
its universe... | r | c3e8ad88cd6ecdc7b22ee1692a3a0213 |
Our work provides us an important guiding principle to search for new materials hosting the negative thermal expansion because there are a huge number of antiferromagnetic {{cite:828d4d3592cc6ab2940758637a2a7e63c854ea33}}, {{cite:5b9d3d74545ef16f5454e83bf58f6a30c8550e15}}, {{cite:5ab17054025f2ce24487965c4dbfbcd7f0f9cd9... | d | eb4c054f1f4b65fe80c924ae86ea7387 |
Another limitation when using single-feature PDPs as in our examples is that hyperparameter interactions are not visible. However, two-way interactions can be visualized by plotting two-dimensional PDPs within sub-regions. Another possibility to detect interactions is to look at ICE curves within the sub-regions.
If th... | d | 1bb1a4600f8a4f1ebc33bba249074716 |
We use these models in combination with a neural vocoder, HiFiGAN {{cite:9230aa42681a897effb30f5cc1495d008fda0189}}, to synthesize high-quality clean speech. The HiFiGAN architecture consists of transposed convolutions which progressively up-sample the input representation into a time-domain waveform and convolutions w... | m | 0cfb151b3ff6e593feff808b01c7fd40 |
Identification of TEH has been conventionally carried out by first enumerating potential effect modifiers with subject-matter experts and then estimating the average treatment effect within each subgroup.{{cite:45ef1208a530c4993854bb54b156510e17d33a28}}, {{cite:4b3aa5f6c44b175281a321de9c175a4ef80c6687}} In randomized c... | d | 06fd54998b51fe7d388b949c9369d5f3 |
In this section, we experimentally evaluate the proposed method against state-of-the-art techniques to explore multiple solutions. While the proposed method is general and holds for different generative models and different inverse problems, we focus on two notable inverse problems, i.e., image super-resolution (SR) an... | r | e732af4bfdf282e34bc6e11db5783505 |
According to the statistics {{cite:b574ca8ca368fba0d8a9d30ed9a8b7394ff8725f}}, the peak of the metallicity for EW-type binaries is about {{formula:cea80317-8d6a-4c7a-8296-7c307d533f34}} . CSS J022914.4{{formula:79ef4a12-09a9-4bdf-b80c-f8d9e9f46747}} 044340 is close to the critical poorer metallicity boundary. This may ... | d | 5d008ea5eba801431f1fe8cb432a5a28 |
Other machine learning methods based on subgraphs have also been proposed. Methods like mGCMN {{cite:ff63a4d32fa282643698dd9f576657a61ec28042}}, HONE {{cite:4c8949c634d4f583ac9d16e908013f0b50fa5599}}, and MCN {{cite:bd492587b7295c3eed373f82c1aff597f6a0fb3a}} learn representations for vertices by extending classical met... | m | 6de5162a88d7ee021915befad7ce8c47 |
where {{formula:121c5f27-bcea-4280-972f-cc58ef3a5fd0}} is the time-dependent quantity of interest defined on an open, connected and bounded region {{formula:c97a0d59-c531-45e7-8d69-638251e8d568}}
with Lipschitz boundary {{formula:46f87c2a-39cb-4696-94a8-b564b12e502a}} ,
{{formula:ec4042ab-28bb-48d7-ad80-ab43af85a1cb}... | i | 32f5f8b73ebd479036d1978f58f4dde4 |
Word Embeddings.
We also consider models based on pre-trained word embeddings. We use the word2vec embeddings, trained on 6B tokens of Google News articles using language modeling as a training objective {{cite:972899778a530679bbbda62c18f8dc6987f2236b}}.
To obtain tweet embeddings, we consider two ways of aggregating t... | m | b6bb21107a0245d1f517c0da6a7c2ed3 |
When {{formula:36853bf6-e1c6-4e46-897e-983e436eac86}} is algebraically closed, a classical result in differential Galois theory states that a Picard–Vessiot field exists for the system (REF ) and it is unique up to a {{formula:2ca819fd-9ced-492f-8445-4461224fe5c2}} -differential isomorphism (see, e.g., {{cite:3fd021f5... | r | e91789de98b06ca3ed89a2bfff212126 |
(3) The aspect of the quantum information. There exist a traversable wormhole between the island and the radiation region in the spirit of “ER=EPR" {{cite:f191cadedb33fc901f970c2377e79c1c19a84853}}. There is a protocol called quantum teleportation {{cite:4ae5821b46638dc084791f5a43a886bfc574a182}} to extract the informa... | d | a8058e654ea27865a6d6e824e02cbeda |
The expansion of the HII regions is extreme interest to studies of star formation as their expansion may trigger new generations of star formation into being within the molecular material surrounding the bubbles (Thompson et al. {{cite:497e3c4640774dfee21d846f8e7dd1ce17521eba}}). Evidence of triggering has been reporte... | i | 5706a26680f620620366e60e9548cbac |
Since the major decay channel of the {{formula:73039c0b-22db-4dbf-ad98-88b7315bbf4d}} is the three pion state and its width is narrow, we take
{{formula:8ac2000d-604a-47df-bad9-695388fee531}} MeV and {{formula:2d572485-9d6d-43d5-84c5-902a84aa439f}} MeV from PDG
{{cite:dcad4195101bc79a21d8993e716616d08b68685e}}. The... | d | 4ca150b9fc140ec25b1e40ac2c06efca |
Overview. HICO {{cite:aa1816592127d98ee99f8992a5e34b77c0a8f4b1}} features the human-object interaction (HOI) recognition, i.e. predicting all the possible HOI categories of the input image. It contains 600 HOI categories with 117 unique actions and 80 object classes. The training set includes 38116 images and the test ... | r | beb2a833bb40951ac4e65e64ff300f95 |
Following the works of {{cite:a33725aa1341cec1aa99afa021f1dfd52178657f}}, {{cite:da8d52072ce73a09fb0d87f96db1d0f3544c6470}}, we omit the use of the noise vector {{formula:75e8c37d-2cc5-43c8-a058-fbb56b639316}} as the Generator will learn to ignore it and produce deterministic outputs. Nevertheless, several recent work... | m | 2fec239a4c4f11f195acfe9a0a1d57fd |
The covering factor of the gas can be estimated studying the absorption properties of large samples of AGN. In Fig. REF we compare the results found by {{cite:6402aa69ed6b7cb0fd07d613ee845ab8861599e3}} using the BASS sample and those found in this study (numbers are reported in Table REF ). Using this technique, recen... | d | 73c1ca96c9a2eb0e1ab75207571454ae |
As illustrated in Table REF , our method (denoted as DLB) consistently improved the performance on various backbones (baseline). To be more specific, the averaged error rate improvement achieved by DLB ranged from 0.83% to 2.50% on CIAFR-100, 0.37% to 1.01% on CIFAR-10, and 0.81% to 3.17 on TinyImageNet. It shows the ... | r | 4923aa5ad8e9267b366efff8a9c55ce9 |
In Sec. we will see that {{formula:ae9f4031-2bae-4d6f-bcd0-a41f7413ba0b}} which is known as the Jarzynski equality {{cite:432923395f3318e18883adb5bc6eeade70188fff}}. Then,
the results in Thm. REF could be alternatively stated in terms of properties of the work distribution alone.
| r | e410cfe8ea4d46cc80fd14a461424258 |
Using the Eqn.(REF ), we calculate the {{formula:03d9bd13-94a7-4da5-a2fa-b394f4adcbc8}} contribution to {{formula:65f2008c-df23-4d2c-aed0-87672d368f93}} which has been shown in {{formula:802f6310-dadf-4490-8508-609d065dab44}} plane in Fig.REF . The gauge coupling is randomly varied in the range {{formula:97bfa2dd-4d... | d | fb821128aa951a462dc334f79ceefaae |
We next consider an alternate method for calculating the imaginary part of the action, making use of the Hamilton-Jacobi equation {{cite:0e2060fd2b86d42b28df9e153108ffcce6e5cf07}}, {{cite:b36ab26fb55dcf128f40f08a760404ef1fa4eaf5}}, {{cite:3b362cebd15faa80efd5cdce1858587f196ef5cf}}, from which we will calculate the Hawk... | m | 86266de2ea7e4ee1157ef57621393af3 |
Score-based generative modeling (SGM) may be viewed as the first stage in
approximating a solution to the Schrödinger bridge problem. Through this
interpretation we have developed a novel methodology, the Diffusion Schrödinger Bridge (DSB), that extends initial SGM approaches and allows one to perform
generative modeli... | d | 7bd4daf4ac244eabe4e3fb325347a552 |
which can be solved using the steepest descent and back-propagation optimization methods {{cite:986c5bc91e1afc7e1696b846d6386b098070f7bf}}. Note that {{formula:2a09670c-ef79-460e-a4a9-54217be8daec}} in (REF ) can be regarded as the denoising of {{formula:d3145ddc-39d7-45a3-9754-3d126e111108}} , which also serves as a ... | m | 38aeaf49a26e9dc1b321844997118ec5 |
In calculating the fluctuation function {{formula:2ee6c80e-c36f-4c21-a894-68cfdc8040b4}} , we take {{formula:4345c4ce-2708-4179-b609-998ff8cb0d02}} varying between -25 and 25, with a step of 0.2.
The scaling exponent {{formula:0a0bc13b-8c0f-4be0-8b95-aa2d152ac3cd}} is called the generalized Hurst exponent, and
the us... | m | bfcb8c3c4cf0801e21b6bf36c3a4e11e |
In recent years the ideas of holography {{cite:60cac74ae2065c01365f570aeb7aa627a627f0ce}}, {{cite:e454fa68e28eaa292d212a1ffb629fe6f6d370ff}}, {{cite:3c9854ec47b3f9a302b6b2ea598ab0b4d9d143e9}} conquered almost all corners of theoretical physics. The idea that some (or any?) strongly coupled quantum system with many degr... | i | 5af1719171560ceb7561ea193cde9ab7 |
The construction of an accurate seismic image is critical for the achievement of a good velocity model. Full-waveform inversion (FWI) aims to recover the velocity model from the acquired shots, using an iterative inverse method that updates the initial guess for the velocity model subsided by the wave-propagation equat... | i | 39eb412037716a97a0c95e1b0fe40709 |
Table REF shows the performances of the teacher, baselines, and our method on the GLUE dev and test sets. We compared CILDA to the Vanilla-KD {{cite:671e6eb0fa4805fd0ba108b80153f15a74001622}} baseline, and against 2 strong recently proposed methods We compare with these models because we have published results on GLUE... | r | 3e615e9c351aa4cc427c21697d285b82 |
Fortunately, it appears that we shall not have to wait very long to see a confirmation
of the EDGES measurement. Several other similar experiments are underway, including
the Large-Aperture Experiment to Detect the Dark Ages (LEDA {{cite:9b581780be1d60539ae0d116f152c20da5d2ab95}};
the Sonda Cosmológica de las Islas par... | d | e17255351a71cc61ef69a001cf309cb1 |
In this paper, we first empirically compare state-of-the-art FHE libraries including Microsoft SEAL {{cite:51ab0eab602f03abe7baa645f6e0c8d957a7f200}}, IBM HElib {{cite:49c9d880564455817d1b59321a43afec5b98fbce}}, CKKS {{cite:a7bb7ea06e41b5f498f332068b15f4c0131b84e4}}, FHEW {{cite:17e45b684c4856a763560da80347ac1ff2ff65f7... | i | d0a3f7b321c2ff15870e64eca5d4208c |
Since {{formula:7855f5f5-8a14-47bd-a17f-f8e7e78ab2fa}} is a polyhedral cone, we know from Theorem 19.3 of {{cite:782ed425c4ed4bc78056ef5083d6b73a32611519}} that {{formula:b6123eb0-8cf4-4f81-baf1-a5308aedbd8b}} is still a polyhedral cone. There exists {{formula:557ab99c-568a-461c-8a60-a48eaed5f7b2}} such that
{{formu... | r | bf3e76649046b37a7fa5bb4c769f3e81 |
which were introduced by Pardoux and Peng {{cite:e62c9028c3942421f3689f75979997660a30c17b}}, where the existence and uniqueness were obtained for the case of Lipschitz continuous coefficients.
From then on, BSDEs have received numerous developments in various fields of
partial differential equations (see Pardoux and P... | i | 7979e6a0e72016f214d54315d6d30361 |
The classification stage is managed with {{formula:8daffaff-0209-46cf-9ac7-4cef2fe9aac3}} {{cite:30fbae42868f8310acddddb45f3ccd009ce5758e}}. Tests are performed using a one-versus-all (OvA) paradigm for 30 executions. A shuffling operation is applied to ensure the training and test set are always different. Images are... | d | 677be6a84ec75d839b8929804f2265ec |
Modeling reservoir pressure management is challenging considering the complex heterogeneity of the reservoirs and the uncertainties of the systems' input parameters. This complex heterogeneity typically requires high-fidelity physics-based models to make CO{{formula:e036e934-7505-4cc7-9762-f373ca0c66f2}} predictions. ... | i | 713377e21299aa6d3f09de41d4d57564 |
Static Scene Layout Estimation. To evaluate the performance in the task of static scene layout estimation, we compare HFT against Monocular semantic Occupancy (MonoOcc) {{cite:01b995dd64108ee6d7be3be3fe96d91b8ae931e0}}, Monocular 3D (Mono3D) {{cite:e0d17c6b912d6c016df389a6441563626dffbc7a}}, PYVA {{cite:806c28ec487a... | r | 78663fbbfe81c970d5a5ae82e04b228b |
Literature review shows that ML methods are very convenient tools on many different applications related to earthquake engineering and seismic risk assessment as they demonstrate promising and encouraging results. The proposed ML classification models in the literature are reasonably accurate but are not transparent fr... | i | 4ae351349b1980b98e45063b8b39b16e |
Regarding solid bodies and structures, not only the deformation under external loads is of interest. Different fields of science and engineering, such as geophysics or civil engineering, are also concerned with the mechanism of fracture and the study thereof.
Thus, a number of different numerical techniques for the sim... | i | 8bdd53db4946e309a324f763d1b9f6f4 |
First-principles data refinement. We re-evaluated the structural, dielectric, piezoelectric and band gap properties of
the 21 compounds listed in Table I by using stringent convergence parameters and fairly accurate DFT functionals (Methods).
Specifically, we re-optimized the relevant atomic geometries with a large ene... | r | 5977e152b97ac62480c2766cd1fd5e26 |
All of these studies, used shallow learning algorithms that require a large number of discriminative and handcraft features as input data to perform {{cite:ac8b5342bd4de5492539122747cc1339e62010db}}. Thus, those authors had to generate their own features from the limited available data, and are restricted to use these ... | i | f5a5eb4112f50913556cd320846d64f2 |
Qubit realizations of the electronic Hamiltonian are obtained after applying
one of the fermion-qubit mappings{{cite:3c90f2f8391514dfae9a883443837d7fdd630aa8}}, {{cite:953da95f5064cc6fbc4f5095f6e428c45cdb34ca}}
{{formula:ce6e4eea-4cef-473d-af5c-378f7dffbbd4}}
| m | 9682e802d52afeae913c127d4de3e610 |
where the different spacings {{formula:d1531f76-6675-4409-82a0-b418263d2c18}} represent an ordered set of {{formula:d48c30cb-4e7e-4e68-8a52-75f8c11f0204}} for different Metropolis MC trajectories {{formula:1b9f56fc-36f3-49e1-b03f-1598023501a7}} .
From Random Matrix Theory (RMT) it is known that, in the Poisson case, ... | r | 80c9b45e5a4296fddc7f8e00c690d1e8 |
From Table REF one can see SRVT significantly boosts performance for different {{formula:b40bfe8e-cf08-45c2-be56-e4ca6e6d01e9}} s. The best result was obtained with {{formula:c52e45be-9469-4f85-88e8-d082c4faa85e}} (default setup in [28]). We also notice for MMD-GAN, higher {{formula:82de910e-b9b5-4fb3-ba5d-d657cbfb31... | r | 4138e3b600bb6e80c0dba176c89eea62 |
Non-minimal solvers can usually take an arbitrary number of measurements (as long as the problem is overdetermined) as the input to estimate the solution by using least-squares methods under the assumption of Gaussian noise. Some typical examples include: Arun's SVD method {{cite:3a95796b0fb87a98fe3a73ce6efb2b92892aebd... | m | 104d6576b9e78036106c38c58fc1b9ec |
In this section, we conducted several studies to evaluate the proposed PDBL. In the following experiments, PDBL was respectively plugged on three common classification architectures, including EfficientNet-b0 {{cite:42a3a98000840cdb27cdae75443871765cb455d1}}, ResNet50 {{cite:53cc8c1c70dc17cf2b7a4c58863837a8ad76b9eb}} a... | r | e17b2cd7ff33d8701620a6e7f9355e58 |
However, early architecture search algorithms are computationally expensive despite their promising performance. They often take many thousands GPU days to search a state-of-the-art architecture, by using reinforcement learning (RL) {{cite:abf78dca94eff70792b59ed08785fdde68ce965f}}, {{cite:90e4750d9e87fe62b25bd56bb4981... | i | 3bf9b1578dbc6c301655437412496225 |
The role of the Allee effect in population dynamics has been largely addressed in both empirical and theoretical literature. Surprisingly enough, there has been almost no thorough mathematical investigation into the bifurcation structure of any predator-prey model with an Allee effect in the predator, in particular, th... | d | 11ee51860202469f5c3fd1c18e18c070 |
Free AT {{cite:247c06a87de0ba8994b3a9e4362c6f74cc061ce9}}: Instead of using the regular PGD AT, they do the FGSM AT on the same batch for m times, while updating the gradients of the input in each iteration.
| m | 5a6ad921f5e3c41591eadab66cb13bfd |
Second-order optimization methods {{cite:9c083eb5a840b01300d94553dfebc33d0a780bd7}}, {{cite:93e74340e6e0ca90ea4ac1b1861dd1188fc13380}}, {{cite:982b9a5fbe3d75aef6013ba967370780ddd62dac}} utilize the second derivatives for weight update. Newton's method arises naturally from the second-order Taylor series approximation o... | m | 641f4fdaf482ac1b6a28c1080a7370d1 |
The excess continuum that magnetospheric accretion adds to a CTTSs optical spectrum has been investigated since {{cite:852342f7464d5fba486973fb935d1568553cedab}} first introduced the concept of veiling. With high resolution spectroscopy, it is possible to observe the photospheric absorption lines of the star and this e... | m | cd42953fce56510c2f7f0b142cab7253 |
The Predictive Coding (PC) paradigm in Neuroscience is endorsed by a large body of neuroscientific experimental evidence {{cite:d490fcaa3372e7b4dd4eebf23b3e2372c757804c}}, {{cite:3afccb0bab41deb1ca77e7fe82228c2779d36d52}}, {{cite:e398d7138a107da853423a038540351485e4142f}}, {{cite:89066c207e51570d82c0d737812e19eebd8ab7a... | i | babc21514219f7022247f0f65c65f435 |
The light curve of iPTF14hls is very unusual among SNe studied so far. In
this paper, we explore the possibility of interpreting iPTF14hls as a
multiple interaction-powered SN. We find that within reasonable parameters,
the theoretical light curve matches well with the light curve of iPTF4hls.
This makes iPTF14hls a po... | d | df198c3408b9123559d593e6d51f1c89 |
In contrast with Stephan's Quintet, the M101 Group is dominated by M101, with relatively few low-mass companions, making it possibly the poorest group in the Local Volume {{cite:f9534b13c24a25832ddbe750a1b9aa136334b0d2}}. The lack of an abundance of intragroup star formation in the M101 Group might be because the M101 ... | d | 11036eae6b8a517ef8a41a52d38df1f7 |
We examined three different Ferrum chains of different lengths in our simulations.
Since we map the qubit states {{formula:20619c37-9c70-4e34-aa0b-b872f4a64a33}} and {{formula:aa374850-3e8a-4f28-9689-d72dd66c187d}} to up and down spin orientations of Ferrum atoms, respectively, n+1 qubits should be employed in the qu... | m | 042af957e5a68f0454e6ef415987cdc6 |
In this section, we conduct experimental evaluations of the proposed SFWFL algorithm.
Particularly, we examine the performance of the proposed algorithm for two different tasks: ({{formula:b0f6513c-57fd-4a9d-ac44-01057ebe2b0a}} ) training a multi layer perceptron (MLP) on the MNIST dataset which contains the hand-writt... | r | 74a1fd1a4c3ec72ef47c6428231a482b |
The classical double copy is an extension of ideas discovered in the study of scattering amplitudes {{cite:ca775f71dff7ed09d5d4db59e97dfc4ceed46903}}, {{cite:467c831d9729dac297b617c17f0527664f7c993d}} to classical solutions of general relativity and gauge theories. The data from the amplitudes suggest a {{formula:e7c6c... | i | 8db0560da7043288d2808914ae4f6f66 |
In conclusion, we have shown that the inductive bias of CNNs can be effectively used to guide the practitioner's design decisions regarding the network's superstructure.
We derive a simple but effective analysis method to guide the performance oriented refinement of CNN-superstructures.
Using this analysis method, we u... | d | d51dbfe45ed0b7272b5f645fcb4a1255 |
Here we ask:
What are the essential features of quantum theory that enable this spreading of classical information in the first place?
Certainly, this is possible in Quantum Theory's rich mathematical structure of complex Hilbert spaces,
but can we identify a selective subset of more physically–motivated principles tha... | i | 21fdbd964108bb73d3990ccd7729ce1a |
The structure of our paper is as follows. In section ,
we review ideas relating to the twistor double copy of
refs. {{cite:b28938cf8021022328ee961aa3f00a4eca7c750a}}, {{cite:9812bed62efc0ea6a02260dfd44546598c37e9d8}}. In
section , we apply the methods of
ref. {{cite:fab3f8c87036b89797a8d31b03686dca010bf0b3}} to demonst... | i | 3214c4d78dff66969a459b4e85175391 |
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