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In many of the above mathematical works that study the
dynamics of collapse, both in dispersive systems
such as the NLS {{cite:3545a9ea6be6137ddc444c5b74fbe376b840e949}}, {{cite:c39b57f18b8a26a03ec56035e67985272da3cc5c}}, but also even
in dissipative systems such as reaction-diffusion ones {{cite:2ef4036177681cd5b4393e... | i | 21bf655f3e18e825817800ec9781f4f2 |
In this section, numerical results are illustrated to evaluate the
performance of the proposed algorithm. All results are obtained by
averaging over 500 channel realizations. Unless stated otherwise,
we assume {{formula:6de6945b-f0d3-4589-a6e4-1292afe1617c}} , the BS, RIS 1 and RIS 2 are located
at (0 m, 0 m), (40 m, 1... | r | ee028afa541dea124bd16b308a2211d9 |
More precisely, since we can write a first-order logical formula
specifying that {{formula:77f2ac39-5b6d-41b3-981d-b57d195a4077}} is a {{formula:c78017a9-a147-43dc-905a-99f1b3cf9dc6}} -composition of
elements of {{formula:9d88dd26-599b-4cd1-aa8b-2114f28ea7e1}} , we can obtain a linear representation for
{{formula:1b8d... | r | 422cfb910c75c85fb1cad91d3627e092 |
there exists {{formula:70c26795-593d-44c9-ab8a-189b7588e3f3}} ''{{formula:06f789b7-d443-411a-945c-9dd4db45beb0}} c{{formula:e2bc7a59-231c-4431-9f85-883d2e9d5acb}}
For {{formula:89180007-5fee-4f60-98fb-9638332ca3f3}} and {{formula:26c388ff-51ec-4e4d-a643-baaaeb4a4933}} Lemma REF {{formula:fa226281-07c1-4c3f-a019-4b... | r | dec6f98e1e4f7160c243404f56fda474 |
In a real urban traffic environment, there may be thousands of intersections that must cooperate to optimize transportation. An action taken by one intersection affects its local traffic pressure and affects the road conditions at other intersections. The state transition function and reward function of the traffic env... | i | 10f6999b01b9768506280a3aa262b7c0 |
In neural systems, often multiple neurons are driven by one external event or stimulus; conversely multiple neural inputs can converge onto a single neuron.
A natural question in both cases is how multiple variables hold information about the singleton variable. In their seminal work {{cite:c811b5019052e8a3545aea7bf05a... | i | c03f67a72342c7fbd3d8f25abcae8d4e |
Electro-optical (EO) materials are of vital interest in almost all areas of photonics and telecommunications. Their use is based on their optical properties with the linear modulation of the refractive index under the effect of an applied electric field. This is the Pockels effect, a detailed development of which can b... | m | a9d476a4a55d6bd29bcbf0ac23a98955 |
The mixed-valent and spin states of Ni in the ternary La-Ni-O system tend to form charge and spin order. The emergence of the two types of order has been verified in hole doped La{{formula:95985e59-d2aa-4a0a-922c-ded8f5b7ec38}} Sr{{formula:6eb0374a-c533-42de-98bc-cbd33b39d6df}} NiO{{formula:ff1fe993-8df0-42d4-8151-9e84... | d | f68f9f227e1de6547740e5825245b7d3 |
The corresponding minimum cost flow problem has
unit node capacities (maximum one unit of flow
through each node) and node weights equal to
negations of the weights of balls,
so is equivalent to finding {{formula:cab172c2-eae2-4fe1-9b1b-0a2045d54ad5}} node-disjoint paths
from {{formula:9ae04451-cf01-4cb0-9a61-3267cb7e... | i | 5b125b9c0bcae9bcb7fb4b641a387f3b |
Theorem REF indicates the necessity of a finite penalty factor {{formula:dad5cb59-85f5-41b1-83d5-6aae98e851fc}} , or the approximate error would not be controlled. On the other hand, we have to restrict policy updates within the neighborhood of last {{formula:de963531-85a8-4860-9313-8d0e5060015c}} (i.e., {{formula:62... | m | f28070b9ca4a31f94de2ae31f70f07e3 |
Since our proposed method is the first work that constructs visually protected image for DJSCC transmission, we compare the proposed method with two perceptual image encryption methods, i.e. the learnable image encryption (LE) method {{cite:c9fa804f82ff0a0345ed03f2e9f484738bca6719}} and the pixel-based
image encryption... | r | 2815508698e45b233a4167d335097524 |
Implicit in the causal effect analyses is that inferences are done conditionally on finding the margin. As argued in other contexts (e.g., {{cite:e199300e5cc5f2ed99c03106dd958c07f70cfea6}}), there exist many modes of performing inference in causal analyses. This issue should be explored further as well. In particular, ... | d | 75382ea2d47f7599d4b71c73a66953f8 |
We present qualitative results in Fig. REF and compare with the state-of-the-art approach of Choutas et al. {{cite:f85770fc30d1fd362d8bdf3c5e014420838475ea}}.
Despite much faster inference speed, our model gives results with equal visual quality.
In the first row we show that our model captures detailed hand poses whi... | r | 20841c3fc4ffa9005eb90b759a2cf98b |
where {{formula:f939b52c-b40d-4a2f-b972-1d3ebbe75e43}} is the set of non-descendants of {{formula:c231df78-e3c4-4f45-b6fd-5db8afa0963f}} ; for details, see {{cite:2596ea62411952459752598c6fd5dc39cd72f8a7}}.
| d | 683b70f840f2cb9b51b75356a75df933 |
Overall superiority of LAMDA with varying budget.
In Fig. REF , we compare the performance of LAMDA and the existing approachesUnfortunately,
{{formula:baa1e7eb-2fdf-4fbe-9a30-3fd674c6333a}} VAADA {{cite:cb6246063a13fb951699fa68dc7142a7d0876a0c}}
for DomainNet and VisDA-2017
requires
infeasible memory consumption,
in t... | r | 717f7741888c2585bbb7f0af89e620fb |
Detecting Out-of-Scope Intent in Conversational Language Understanding
To validate the method beyond image modalities, we also evaluate SNGP on a practical language understanding task where uncertainty quantification is of natural importance: dialog intent detection
{{cite:7fa21086f122930f55f631f5f77915ddf0d71f20}}, {{... | m | da366a95491282b49e77219158b670a0 |
The fact that we consider complex-valued “para-Hermitian” structures implies that,
unlike the usual literature in DFT and related matters, we can analyse different signatures of the metric,
by imposing different reality conditions.
Since we work in a 4-manifold {{formula:f2f63f0f-4afa-42e6-8d9d-7bd578d321c0}} (which w... | r | 42d1c372074a014ac2b719ab0d6d7b55 |
We want to apply the results from the previous sec::errorest to PINNs as introduced in {{cite:2ec07b90ba80c72a0306f8d02749ceb25d0a250f}}. Therein the the data-driven loss used during training of feed-forward NNs is supplemented by a contribution reflecting the PDE (the physics-informed contribution), yielding
{{formula... | m | 14df1816b2787cb6c434490fdb777204 |
In our model, the maximum energy is estimated under the assumption that particle Larmor radius is less than the termination shock radius (see Eq. (REF )). Two parameters are concerned here. One is the magnetic fraction {{formula:fe752461-60c4-4923-b24f-1ffea5aaa054}} , which is limited to a small value: {{formula:f1a9d... | d | b712d3924b874a4a712e251fa7b3bc95 |
Comparison to state of the art. We compare WikidataRec against the following methods on Wikidata-14M: BPR-MF {{cite:847d9c713a863733acce2ad130d0a0a76cc73c30}} is a representative collaborative filtering model that uses matrix factorization (MF) as the underlying predictor and is optimized with a pairwise ranking loss. ... | r | eb3176d6fb076eb9d0977876abb3232d |
3D human digitization has drawn significant attention in recent years, with a wide range of applications such as photo editing, video games and immersive technologies.
To obtain photo-realistic renders of free-viewpoint videos, existing approaches {{cite:dca0b4144d0ea95212d9b5ed7b641ff6e97bf217}}, {{cite:a52a3770dd8a09... | i | ccf868112be5c996b98e04f1d0d20071 |
If we include the discovery of the nova shell around IPHASX J210204.7+471015 by
{{cite:4d8c65fbca3cb78720a2f75f15c520b87f57e172}}, who used a similar setup, in our calculation then we have
two NLs with shells from a total of 57 NLs. Assuming the {{formula:433f834a-cfcf-45a4-b36e-d85175a84951}} 100-year
visibility windo... | d | f81b49d19aa19a70b9cf6600dcca947d |
In most cases of practical interest the solution of problems involving many interacting quantum particles rests on some kind of approximation {{cite:4eb92499095d5353cc6ac79a904d79d6b95a72b1}}, {{cite:d9e95ff81f265318fc671dfd2acead12f378d659}}, {{cite:e1fe9c96a93f8de860cdbb55dd979486a84144fc}}. It is not surprising then... | i | a3a6b1d6c5eb8ad5b32bcb2d25e93089 |
Limitations and future work. The presented work has limitations with several potential improvements that are the subjects of our future work. First, dual-domain self-supervision requires an accurate k-space signal for loss computation. Increased noise in undersampled data may impact training performance, and thus pre-p... | d | c3aece4a232592a1b353ca3c649603dd |
While we have presented a number of corrections for dogmatism, we have not presented any coherent framework for deriving corrections. This presents an important question: are there any objective Bayes principles which automatically lead to priors which adequately account for dogmatism? Certain strategies, such as using... | d | b3023186b7df9b2b2bad2059e03ff315 |
The proposed model learns the structural information of light fields without requiring ground truth disparity maps or hand-crafted features. The model is generalisable to different light field image formats, limited only by the availability of training data. Since the model optimises for not only pixel-to-pixel distort... | d | e1bad6f120f1ad410111b41091e8e347 |
The problem framing in fig:pipeline, the formulations in sec:methodology, and the analytical framework presented over hyperparameter settings above naturally extend to any ML system (white-box or black-box) which have hyperparameters, {{formula:3634d9db-9867-411f-bf95-67d22c89562c}} , or more generally, up-stream facto... | d | bb98c1be105233f5c07281f7bd522ab5 |
The first historically discovered gauge theory was classical electrodynamics formulated by J. C. Maxwell {{cite:0ed9513f94793c0ea198bba1faf66898c32654ce}}. The existence of a gauge symmetry within Maxwell equations initially did not appear to be a fact of huge importance. Only the papers of Weyl on the unification of e... | i | 6def4c8d3180fe5f43a715186ad6d902 |
The discovery of a Higgs boson of mass 125 GeV at the CERN Large Hadron Collider {{cite:bc6682fea7bcb91f8699e731b6bce452a89bf17b}}, {{cite:f6e8ddb3169c6b2aec9726c2215fea5751635326}} has completed the particle spectrum of the Standard Model (SM) of particle physics, and has established the Higgs sector as the origin of ... | i | 6292dd3f57b0ff85a9a94cadb28e51c2 |
We first compare the outputs of TorchRadon and Astra Toolbox {{cite:d5f824306576b509dc7abdaedef89a22bd254ca9}}, {{cite:43157643c34fb3cdc3d5a8f66d32d1500286d718}} on Radon forward and backward projections and filtered backprojection.
| r | 92f596ebdf80f12b4d04db6f12ac00c7 |
The optimal control problem () is discretized, using 10 min as sampling time and 1 h as control interval. The problem is set up using CasADi {{cite:27805e994829653c07906b691c857cf639ddd8f7}} and solved using IPOPT. Fig. REF presents the states {{formula:29bffa8d-b5dc-4b47-bfa8-ecbc2c83e3e4}} of the system.
{{figure:9... | r | 670effc8fb265543ed50aa8691640017 |
where {{formula:e058833e-9072-47b9-854a-0899a77abe9e}} with {{formula:97cae08e-b922-4099-a6b5-e6f19bdc8ac4}} being the size of Hilbert space.
For the static Hamiltonian system with eigenvalues {{formula:f7f448de-a4cb-4f45-b5e2-8043efaff446}} , we have {{formula:a75b1f48-42ab-44cd-b5a0-e862879a572a}} and the ratio ca... | m | a58fe27dc06aa90141d53b53e0df736d |
Topics for future research and broader issues in SARS-CoV-2 seroprevalence studies merit mention. In this paper Wald-type confidence intervals are considered, which have known limitations {{cite:01406e7b304078a8ac88e42eb36b41758d8838e2}}, {{cite:71d1cf7a27e80cdd3b7d065fa3065281bc9ee544}}; alternative types of confidenc... | d | 1f21b62c33a295676a6c82a5f959f8aa |
Fully homogeneous nets and implicit bias.
Suppose the network that we use is fully homogeneous and we have an over-parametrized training problem. For such classification problems, it has been shown that gradient descent methods {{cite:33133d17bef1d0540dfc8bce0dd13a63cec9fccd}}, {{cite:904c4570977723b72a1482f415c678c40c... | m | cdfd9038080f615eecbc557e02cee14d |
The Vecchia approximation offers an alternative to inducing points, but
without introducing auxiliary quantities. Although it is sometimes cast as a
novel modeling framework rather than an approximation
{{cite:1425f72d04716ca97a2e6fa9a10392d932d82880}}, a key advantage is that it doesn't
fundamentally change the underl... | m | 7d2f6873026451d01d34b433e8162d23 |
In the last couple of decades, exact renormalization group (RG) equations {{cite:714d4a4d57b7ad50dce61749557941f8ec35e016}} have become a powerful tool for nonperturbative investigation of both renormalizable and effective quantum field theories. The framework for exact RG of Euclidean quantum gravity {{cite:0ee3ee8614... | i | 9ab501b2f82db27db123e69cdec18a0a |
Although we have focused on the resonant contribution to the GWs, there are non-resonant contributions.
Here, we comment that the non-resonant contribution to the GWs does not affect our discussion on the detectability in SKA.
This is because the non-resonant contribution is dominant for smaller {{formula:a3a58162-e26d... | d | 625de5126447f84a8b164df1326826cb |
DAB-DETR, DN-DETR, and DINO. DAB-DETR uses a 4-D vector that represents an anchor box as the object query. Results are listed in Table REF . For the C5 model, The model trained with Group DETR obtains {{formula:751f42ea-c7e4-4dd7-b6b5-2e5d46e5064c}} mAP and {{formula:66375054-2485-4d49-802b-ef29c2e5e183}} mAP gains o... | m | 891764b36e1e49f2ab5473478ecea3d5 |
where {{formula:be552889-8ad3-46b4-99d7-c05da4abbda2}} represents the extra cosmological parameter {{formula:1e81bad1-b246-4caa-bd2e-c2bf1490962e}} and {{formula:a61c9aba-fcf7-48e1-9252-f3731b81c445}} , which are marginalized in a large range ({{formula:aa92cc68-c12a-4bda-9a00-d21183cc6b61}} , {{formula:3bc9b673-3ef4... | r | 7239303fac8f59d43daa18cefe3f235e |
Secondly, this set-up somehow bridges recent discussions of averaging {{cite:9be375683e78187900af46050fa842e62c65ae68}}, {{cite:c838fb4c4cb0c963380605f34512a925b03e7e5d}}, {{cite:fd615319bbed9ee7a1c86179cf5e8aa0fe4349c8}}, {{cite:ea2777835658c7fb958bc62f02ab5a5dd5e91cee}}, quantum error correction {{cite:aff5648a69054a... | d | 6c144215ff82ffa8c66b0cf96a76b2e9 |
A useful operator in this context, as defined in {{cite:cbdab04fedadd794643ce050ac0e62017ea8f526}}, is the following
{{formula:41fe4c95-3219-4897-b2fa-f7455c510635}}
| d | 2754405cb1fa201376426bd18be295c1 |
More recently, the computational task of sampling from generic closed periodically-driven quantum many-body systems has also been proposed to demonstrate quantum supremacy {{cite:7020de47e26457e6a084550af03bc088872e1570}}. This opens the road for a plethora of analog based quantum simulators on periodically driven cold... | i | 55dfad41866aa4b6c98f9ee77664c0a4 |
See {{cite:b31e77ccbfae8674d8b837499355db71eaed84a8}} for more detail on the subject of
metrics, and other distance-like functions, on probability measures.
See {{cite:2ed6449679b339c086e2ecb7084ced5b2ac3b671}}, {{cite:6bf7b3a7d5bdc3de08757d54a614fad04a42807d}} for more detailed
discussions on the well-posedness of Bay... | d | 12c37fcfd52a1738ae30b7bbf3336e18 |
The proofs of Theorems REF and REF utilize the linear programming approach (see {{cite:fba4d6811c29f463912bbefda52e2323555a09fd}} and references therein) except here we do not need to show the positive definiteness of the interpolating polynomial.
We next state a solution to Problem REF that follows from Theorems RE... | r | 791ca2e589af690c49f4d4efc6a6114a |
Many studies concentrate on the relation between the NS spin direction and kick velocity direction (e.g., {{cite:1c1c3473b97dc9dc68d57a67d76ebc23e8239889}}, {{cite:b97e03e26eed605faceaddd6ac4b4f6b2e1ac138}}, {{cite:ed8cca2ce03ba6c34be27f69480b8d17e7b8dd96}}, {{cite:78f596b555019bb258410a2d62b0205dd3a60294}}, {{cite:024... | i | 9088b04ab2659d725f85246f4f8acf5b |
Different Distillation Strategies. Table REF shows the results of distillation using different strategies, i.e. , layer-to-layer distillation last-layer distillation, and MSE loss NCE loss. We first study the effect of our proposed visual token alignment by applying attention distribution and hidden embedding distilla... | r | 8ae8255f4989a2ff06c56d226ba54f1f |
We present the class-averaged AUROC scores for the SIMO-based evaluation in Table REF . Here the optimal method for MNIST is a discriminative AE, with {{formula:382f31b2-43fc-442d-8afd-2a34e07da2f3}} , {{formula:2116c9e6-9cb3-41d0-98bc-a536e5b912eb}} and {{formula:a4612a0e-e87f-4f52-985c-fa63881af3b4}} and for CIFAR-... | r | dea071e32e82b8970c1b5dd0e4fabea2 |
In contrast, learning-based methods use policies for defining human-like behaviours, which are usually learnt from human demonstrations by matching feature statistics about pedestrians. These methods apply machine learning techniques such as Inverse Reinforcement Learning (IRL) to model the factors that motivate people... | i | 2edc9f4718f30b1c34249ddc6e24ea44 |
In this context, we refer to the class of domain decomposition methods {{cite:9951302cd7a5fe58aa418eb5f8021719f2d1ed9a}}, {{cite:5d90815693e9073cb893ac003ccdbb8e9d02f780}} that are based on such a splitting and instead solve small local problems on (overlapping or non-overlapping) sub-domains.
The resulting global mode... | m | 066ddcc8688006c7b6500d50ea92d8a0 |
Datasets:
All SR models were trained on the training set of the DIV2K {{cite:cf12b139a1ed7cc2b19b4107013e510c2e7e4f87}} dataset with 800 training images. For the evaluation, four benchmark datasets
Set5 {{cite:71722170d68d59dbd50d8af686f9627d4c49298f}}, Set14 {{cite:7e894253cb63557a08d90245350df725f8cc7c26}}, B100 {{ci... | m | 32df2ffd288de2b8829fcf1099cd8883 |
An immediate example is the family of all graphs having no copy of a fixed graph {{formula:c9e2b6a6-a735-45cc-bff8-25c335cb48d0}} which is a major problem in extremal graph theory. Here, if {{formula:0eedc15a-214b-4bb8-8a97-d09b17f741f4}} is the corresponding Turan numbers then {{formula:2a410bd8-29d3-4020-ba06-7fa05... | i | 117ed6507c989012ebec1ea4f32291e2 |
The evaluation of our model sentence embedding method by {{cite:a7bcdb56f24d90ed09862b3882b7440ad07055b6}} (SIF) has succeeded in (1) reproducing established findings about the method at hand within our scientific and technical domain with its specific data structure, (2) exposing some shortcomings within the evaluatio... | d | 2cc79028472daa8fb985fa7185ef4bec |
We compared our method with state-of-the-art occluded Re-ID methods on widely used occluded Re-ID datasets Occluded-Duke, Partial-REID and Occluded-ReID, including PCB {{cite:f5f280904d46d276d2c04fc5b9559495cbc41919}}, PGFA {{cite:1cfa8b927044d770d8bc34ebbb35e944098d775a}}, OAMN {{cite:722a30f8417f1bb380821aa8d5a1dd415... | r | 3d1730574da6ff6dfb355900de635723 |
We are conducting the first large-scale Chandra/ACIS survey of the spiral galaxy population in the Virgo cluster. This project complements and integrates the AMUSE-Virgo survey, which studied the early-type galaxy population of Virgo, a decade ago. We selected a sample of 75 galaxies, including all the largest and most... | d | ff6b9bd914dcc4e5b82697007ed98ea9 |
Data. Between January 2015 and September 2019, patients who underwent imaging for a lymphoproliferative disease were identified. Initially, 584 T2-weighted abdominal MRI scans were downloaded from the National Institutes of Health (NIH) Picture Archiving and Communication System (PACS). Radiology reports for these stud... | r | 5e2649580c54f00fb62e6eb7131ffc13 |
When there is only a single item, i.e {{formula:ae5d6603-089b-4e5f-a52d-2baf42722cb0}} , then {{formula:e12b76a6-ffbb-4895-8fcd-9e389fa53d95}} is simply the probability of the set {{formula:cfacd43b-7014-4886-b31c-373ec88679e2}} . It is easy to see that this function is submodular, with means that {{formula:be8ae9b1-e... | r | 67e677a2ef1f4e9be6f7f6d2f98059fb |
The generalisation of this work to nonlinear iterative methods, such as CG {{cite:e33350fc7c750d8f545c6b5b6aa3b8781ffb6ce2}} and other Krylov methods is of interest.
These methods are more widely used than stationary iterative methods in modern applications, owing both to their faster convergence and that they only req... | m | 92f64e3c8eaf53bfd375b8dc5caa43d9 |
To guarantee that the CBF QP is always feasible, a control invariant set is needed, which is defined as a set in which any trajectory of the dynamic system can stay indefinitely. The concept of control invariant sets has been studied under various background and names, such as viability kernel {{cite:6a5ae7244f2f5e0626... | i | bf40febbce8eca244081e30b93501e9a |
where {{formula:e946901e-b9b1-480f-a932-1bc34c02e91a}} and {{formula:54921bd8-c3d5-4a07-b33f-13a2293eba50}} ({{formula:34dec47e-a185-4d16-bf7b-86def942c11f}} being the active flavor numbers) are the one-loop and two-loop {{formula:a4f3bd68-67e3-496d-a3b9-f85c33559fca}} -functions. According to {{formula:78c92e71-7ac... | r | 541cfda7650daf65427ebc96382e019c |
Studying the collective behavior of individuals in a large group has long been an important research area of statistical physics and relevant fields. The question of “collective action,” the tendency for individuals in a group to forgo short-term selfish behavior in favor of long-term group benefit, has been extensivel... | d | 4365c223d0bd846099ba81e563088f6b |
Our results resolve an emerging puzzle in legal NLP: if legal language is so unique, why have we seen only marginal gains to domain pretraining in law? Our evidence suggests that these results can be explained by the fact that existing legal NLP benchmark tasks are either too easy or not domain matched to the pretraini... | d | b846672428b6e1f4d85b644935c474e2 |
In addition, the path loss is modeled as {{formula:4fd556d2-d382-4a94-8e86-50a3df88a095}} , where {{formula:44f10268-5236-4d09-8f8c-a0124f72963e}} is the distance, {{formula:d3f14214-5dc6-48a6-91ed-4f3c5fc73ad7}} and {{formula:551b1391-4d1c-420d-aca7-91c4f17dd772}} are set as {{formula:57fa3949-7562-422f-bbbe-68d8ce... | r | 9490c48c8dd21f9b4de006bc011875d9 |
Boolean Networks (BNs) were introduced for this purpose by Kauffman {{cite:5d8439bcd521410e030f789ead6a9f3e1a63f4cb}}.
In brief, a BN comprises a set of Boolean variables, each variable representing the on/off state of a gene, while interactions between genes are expressed by Boolean functions. It was found that even r... | i | 9edd2d8f266ffd9b6e2a262a8a33544b |
Dark energy beyond the cosmological constant is usually modelled with a single scalar field, with prominent examples being quintessence {{cite:cdf1897b585fb7e9e322e4eb035a0ee132e59b2f}} and scalar-tensor gravity {{cite:9f8a8527a427c810e94d970434722fbe083193f1}}. Quintessence is the simplest dynamical dark energy scenar... | i | 4efeba8da27eb92a0c22a71fb55696f7 |
Finally we can turn our attention to convergence properties of the regularization method. For this sake we use an exposition based on {{formula:baf7ba22-10d8-4c30-83bb-38e57f7e38ab}} -convergence (cf. {{cite:792f8a0a113aa40ba08349de0f827eaa27b6c85f}}):
| m | 5a80679bf2dd24f52719199051a18a44 |
Google considered up to a depth-five QAOA ansatz on three separate classes of graph problems {{cite:ca9abd3579f18785579404036879a77891f43738}}. Under experimental noise, Google was able to realize functional depth-three ansatz performance whereas depths four and five were critically limited by noise. The depth three an... | r | 4f2bee3e6a62096fd02e8be48dfa0b4c |
DeepLab v3+ {{cite:2d11c48e621525337638853c8cad3e619f3ed003}} is the state-of-the-art backbone network for semantic segmentation tasks. We evaluate this network here to show that generic semantic segmentation networks do not generalize well to curvilinear structure segmentation.
| m | 3101c5efc5204cead79ce1936568123f |
A fraction of unexplained variance {{formula:34a46bc3-df7f-4085-bdf0-a6cae12764ee}} is not immediately recognised as a good result. For example, the works {{cite:45d7f7ad90872a29d7e492b8c5ff0237ce48b51c}}, {{cite:e5893a880587a52041da9967f6a5974980db3886}}, {{cite:15e07bacfa0b4a9c4f3cd0dfde02c0314e66ddba}} achieve an u... | d | 48efc84a26eca8cd7a86d1a9fd50c172 |
Boltzmann machines {{cite:0f7ca75df3ba8acc0b686df826f11a77e464b539}} are multivariate probabilistic models that are widely used in the field of machine learning.
Here, let us consider a Boltzmann machine with {{formula:1a74e4d8-ba61-497d-8188-678bd4aa5c25}} binary variables {{formula:d98fd7e7-3aa5-41fe-8b1f-f9168ce963... | i | a6ba5693c9888e620ca53aa5dc05a009 |
Despite the success of reinforcement learning (RL), extensive data collection and environment interactions are still required to train the agents {{cite:f4c942f2c1933ab4baad976c6044fef11743fc16}}. In contrast, human beings are capable of learning new skills quickly and generalizing well with limited practice. Therefore... | i | 1c0df0253e8f6689f86d1c299d937f92 |
To evaluate the geometry consistency for a fixed geometry code with varying appearances, we use sparse facial keypoints for evaluation.
We measure the standard deviation of 66 facial landmarks computed using an off-the-shelf tool {{cite:30f214029befb6e8ddac9b8938c198d6a0c2e486}} across 100 samples with a shared geometr... | r | 07b0047d0024c508c068744745cf948f |
where, {{formula:a4e44b9d-7a77-40f0-b240-1f7bcbd814cb}} is the attitude quaternion (vector first), and {{formula:bac135c1-4f57-4325-a697-3bef3ac40d6e}}
is the Davenport matrix denoted as {{formula:9c445f8d-9570-48ce-bc0a-f83ad3efe297}} . Since, {{formula:65057776-1f37-4bb8-9543-94d4c0d0de7e}} is symmetric, the Dave... | m | ea24e74c21985129820ff1fa39532a5b |
We note that {{formula:e10d7197-55f9-4e82-9fea-574294fd8eb2}} is nontrivial because {{formula:3e9f3408-eb7d-403a-a67a-26c6aa4a982d}} and a standard rescaling argument enables us to deduce that the Lagrange Multiplier {{formula:4589c8ab-5324-445f-a92e-abdc979bf096}} can be chosen as {{formula:5f361011-53cc-44bc-9e48-... | m | d1c6838ee050183c6c423d758ba8d7c9 |
We now include two useful results on operator norm bounds of higher-order matrices. The results only require the condition of {{formula:39361f03-2d0d-4030-8363-bd7a69f76e84}} -L4-L2 hypercontractivity (which is directly implied by assump:design—see for example the sub-gaussian moment bounds in {{cite:53ce4c7085b99f7d30... | r | 5898bdce4de373534060b1042706e56a |
MixUp {{cite:d15f6b0daf3822ffa7bdf12a8d9ad9ce3c618a38}}: We also evaluated the effectiveness of mixup, an effective data argumentation strategy
on medical image segmentation, following {{cite:d5af882473d4f47cf68c0018114627801e04c508}}. In this method, we interpolate two labeled images with an index sampled from {{formu... | m | 69a532af2fa53fc5aa285d78568c22d2 |
While the combined Search + Generation approach is overall useful, the effect is not consistent across relations: performance improves for some relations and deteriorates for others. In §REF we described the techniques we use to reduce the noise coming from additional queries. These techniques however are rather basic... | r | 864b09b8c51d7b9482fc6e8598b78912 |
In this section, we provide extra experimental results with extensive hyper-parameter settings.
We commonly use 128 clients and a lcoal batch size of 32 in all the experiments.
The gradual learning rate warmup ({{cite:c142357c77a43a38a065ad97a65fd4fd1d62fb68}}) is also applied to the first 10 epochs in all the experime... | r | e12cabbb67a30451838b78e44fbeaf5b |
Differential geometry has been used extensively in the study of higher
order asymptotic inference. While there are many references that could
be cited here, {{cite:77f2f3a14301c439aaceb985cd2c1de91fe8b3ab}} stands out for its clear description
of the role that geometry plays in understanding and simplifying many
areas ... | i | db04c37019296e20ca25cd9da62274c1 |
Model training: For our experiments, four state of the art models, based on three architectural designs are trained from scratch. The first architecture, VGG16 {{cite:59bb58165d7385a92149eb018cd389f57a24ac4a}}, is a convolutional neural network (CNN) with all layers connected in series. The second model is the DenseNet... | m | 7813558921521f21630401ff1b1df9c2 |
Equally unexpected was the observation that increasing the dimension of our embedding affected the accuracy of the GRU model. Overfitting in the embeddings is a potential reason for the GRU's diminished performance. Empirical evidence has indicated that low-dimensional word embeddings are sometimes, but rarely, superio... | d | d0874bdc96b48df4fabb2034a761afc5 |
The Fisher Information Matrix {{formula:f2587eb4-f7d8-419c-b937-392b0f04bb6f}} of a distribution {{formula:4b3e2574-5c54-4ae1-bb4f-7f422c61e503}} w.r.t. {{formula:4c607913-44cf-4dbb-b9f5-1d2f89863074}} defined in {{cite:86fa0f90084d596da093aeb7ff04dadfc0ebb756}} is:
{{formula:104af599-43f3-4c8a-aaf4-3ecbc2bdf785}}
| m | f7decb4ea5e2049487a74ffff5cadcdd |
Decoder:
Earlier works using MVT for dense prediction {{cite:f772f85ac6ca256922841b0a494fe5ec8b5cb165}} upsample feature maps at varying resolutions to a resolution of {{formula:e3cdbfb8-560c-4879-8d21-e52629fdda7e}} , and reduce their channel dimensions to {{formula:769f4678-3cbf-40e6-ac0d-0f0060c35f46}} using {{form... | m | ac546a2c299bcceadcb9b43b8a2b6abe |
Lemma 1 {{cite:00660f0593499f8c4500ff912e4217ae24f48454}}
Let {{formula:44e7de11-d983-4eab-a165-3721ab08dd46}} be an anticommutative algebra with {{formula:e802763f-bc03-47db-9f54-d3e54657d7f2}} . Then there exists, up to isomorphism, a unique anticommutative algebra {{formula:a337e940-5194-44d3-b054-4ecd4c1f767f}} , ... | m | 04d9ce71396abeaa2b97cf9fdc94b542 |
These lectures are meant to be self-contained, but
we necessarily omit numerous details,
while trying to make clear the basic ideas and results.
More complete accounts of cosmology and its
particle-physics aspects
may be found in various books {{cite:04d250920936aad407eb184dd16885de3e74b54c}}, {{cite:1d955094b720a3c750... | i | 90286490e1c83f5f7aaaf79e6cb0c5a7 |
Despite the incredible success of neural network function approximation in reinforcement learning environments {{cite:c5e7fe0ef20ff9ef9703bf53b51f56092122f815}}, {{cite:77c39099ad783b09f1e626edf81a3d0ae294a0af}}, {{cite:32e0e31b72949ab98f9a0049cbcee292924836fe}}, search algorithms have largely remained tabular, as can ... | d | ed30ec6d249147900fb54333da471e31 |
Retrieval augmented models (RAM). We compared with a recent retrieval-augmented method named KFCNet {{cite:0763dd289018014d6334d1c9b1e094dc21a2acf2}} for constraint commonsense generation.
In addition, we also compared with using sparse retriever such as BM25 to retrieve knowledge from our constructed commonsense corpu... | m | 4f649ecebf0c893784b1a32bebd3c400 |
We also show the comparison of the convergence speed of applying different pre-trained models in method MGN {{cite:675f798fbfc8689413da89f5580fff1d5164cd45}} at the early stage of fine-tuning in Figure REF . As can be seen, UP-ReID achieves a faster convergence rapidity compared with Moco and INSUP on all the three dat... | r | 7e1c04b22f3851780c7f92189339eea4 |
Stable matching algorithms have applications in several real-world problems. For instance, stable matchings have been extensively
used to match students to schools and colleges {{cite:c14c3d7e36fa373b600e4ccf50e3882a46c884f1}}, {{cite:30146fd10a2c436dfad293a7bf5a72a39c9690e7}} and one of the oldest applications here is... | i | f774f931f202fe02be2721ad28428688 |
The gray region was excluded by the neutrino observation from the galactic center by the SK {{cite:53481265baa934fa45beaa5b2f87dca87c1cec02}}.
The dashed gray line represents the future prospects of the HK with gadolinium 10 years observation {{cite:2f4a939c6604644df969bdf84405d15473aa13c5}}.
One can find that the sens... | r | 4768e51e341fbb8c1ec04957418f4486 |
where {{formula:7666ea8d-0fe0-4593-abe3-3cd1cd6f795f}} is a discount factor for multi-step rewards, and {{formula:ba8a8317-06c0-459e-bf2f-19dbe989f835}} is a learning rate.
Equation REF shows that the state transition reward is passed back to the starting state. In activities such as maze traversal or board games, b... | d | f34ff4bb5d5b9fbb7574b1b7a442e7a6 |
Finally, the new/modified forces G3(M) and IOPB-I(M) were applied to neutron star matter to determine mass {{formula:0e040a02-ecf9-4937-8429-563374b63253}} and radius {{formula:b37fbedb-7517-4555-af56-4c0d2fd30576}} . The {{formula:743d996c-1876-4573-8df1-b3a1f162fb89}} profile with the old/original and the new/modif... | r | 643ad591bf1ea76a8fdafbb445a54ee5 |
We use the CosmoMC {{cite:80bccb3f43569b4efe5df53a8ba73a0267661845}} and CAMB {{cite:536a52bdefdfa67ea4cb867968e17955c03873ba}} packages to study the constraints on cosmological parameters at the background level of our specific model in this section. The CosmoMC package is a MCMC engine, which can be used to explore t... | r | 02532d1f9522bd49b94c3d1a23b4f911 |
Sampling methods, or also often called Monte Carlo methods, are another family of Bayesian inference algorithms that represent uncertainty without a parametric model. Specifically, sampling methods use a set of hypotheses (or samples) drawn from the distribution and offer an advantage that the representation itself is ... | m | 93e64b464ced72ebe6b0a0a0d394902d |
We assume that the stirring planet is located interior to the inner edge of the disc. The stirring timescale decreases with planet mass {{formula:1ec1bc41-3110-4f08-a845-5789860bdb66}} , and increases with the outer radius of the disc; a lower-bound on stirring planet mass is therefore the planet mass that is just suff... | m | e23f12a66a17e1327b2eff34efe31691 |
At NNLO and beyond, several subtraction schemes have been proposed in the
past years. These schemes mostly fit into two categories: local methods and
slicing methods. The latter are based on partitions of the phase space into
hard regions and infrared-sensitive regions, where the cancellation of
divergences is performe... | i | a24082f17d8019c8974fd6a035c9d89d |
Dataset.
We use Voxceleb2 {{cite:2dc14abfba389aef8258ff1d5255bebcf3cf2efd}} dataset collected from the wild for training and test, which is a popularly used dataset in previous works {{cite:4de3c783e0938ea04c284b5f3cc905a0f6c8a8b2}}, {{cite:071dbcdb41ad69036ca92806ec5e8a3f7a1ba159}}, {{cite:200b089c67d692797f28947890c9... | r | 09d74a7ba6d45cc3b05e9ee66a3bc913 |
To conclude, neuroscience research is at an exciting junction. On the one hand, new technologies are being built promising bigger and more complex datasets to help understand brain function {{cite:7cd634ef3dc49b60f8da0496c1a0126dfe29543a}}, {{cite:1cbcd3e9e296d234bbb259336cfd6e01b7338ec4}}, {{cite:3a441617ab5aa5f56945e... | d | 060635b62a1755697a0e1fd609f127e8 |
{{formula:b9d38e9b-6c13-4d80-b393-a272800e79fb}} and {{formula:cb407eda-a1aa-4eec-a3df-08bba1460dff}} are important quantities for characterizing a network. Given a network several inequalities can be constructed from Eq.(REF ) using different {{formula:53606959-1c72-4bce-b5a6-03ade49d000a}} and {{formula:53d83da0-1... | r | 058c4ae9c519e180883f450d5348798b |
Trading and portfolio management systems require prior decisions as input to properly consider the effect of transaction costs, market impact, and taxes. This temporal dependence on the system state requires the use of reinforcement versions of standard recurrent learning algorithms. {{cite:3db310bc334b7bb7221d25d2bc90... | m | 58e5514a598b9c03153d96ea86459657 |
Kernel methods generalize classical statistical methods to discover non-linear patterns in data . They have been demonstrated to achieve state-of-the-art results in many application domains and it is straightforward to apply them to non-numeric data, such as graphs or text , . Through a near arbitrary non-linear mappin... | i | b7c3eafc44c5c8ef6c76a8260b0b8618 |
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