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The uniqueness of such positive solutions was subsequently proved by Chen, Li, and Ou in {{cite:47dc9ddeaed6a1be8c6e9c2ae2d7c503dc69b3b1}}. A different way of looking at (REF ), which also underscores its geometric invariance, goes back to the ideas in {{cite:1f48512d1a283215e1acff18dea797fc16156498}}, {{cite:bdce89de0...
i
d4aa3fa63aeae404420d1a39e9deb34e
Here {{formula:5ff6d75f-6b15-4d22-87e0-fa31ba7a5ab8}} is the angle between the bond vectors {{formula:5378242a-8e7f-40fb-a300-cf05caad9b8e}} and {{formula:8a60c8aa-0d33-4628-aeeb-03d0e20c2d41}} , respectively, as shown in Fig. REF . The strength of the interaction is characterized by the bending rigidity {{formula:1b...
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a163181dfa1d212ebf210e383a559815
For temporal clues, most existing methods only model either short-term {{cite:52f79bb599be56d37c44a43175ed1a57527d0cec}}, {{cite:7069c71674fa6e64ed8ede3027d64b857934c231}}, {{cite:32be6cb1b4cd34e3c7abec0072ba5af10d6740c9}} or long-term temporal relations {{cite:016d0bb32a07b683127898968403af3be92f7127}}, {{cite:35f0906...
i
99e4141e783e5d397a1aca05f557d5e5
The outline of this paper is as follows. Section describes the conditional linear factor models with sparse time-varying coefficients, and how to implement the no-arbitrage restrictions in the specification of the random coefficient panel model. Section  develops our penalized two-pass regression with time-varying fac...
i
b908368b8c95777897c7d25a58bcaf5c
All these algorithm are implemented in existing computer algebra systems, like for instance Magma {{cite:046e26b86e16d4e1a47014c4ef6b2db993ee05d5}} (see also {{cite:c31162abac1974e8fddc4028cbf5dbb53df33d71}}).
i
339c75cb04381bd56ba639d4f4158d57
As shown in the table, our method can make a trade-off between speed and accuracy. Although our MSCVNet is little less accurate than top-performance methods, such as GCNet{{cite:c724e24dbb5016419ce613c276d6487cb5e82016}}, PSMNet{{cite:b45bc90f8bd643da82c7a5a47185ee8213f1ab9d}}, GANet{{cite:02a7336b1d548c73673b324890496...
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b80143c8a95efe7b2065a18a1d994280
Hyper-reduction refers to a broad class of methods that aims to reduce the online assembling cost for projection-based ROMs; hyper-reduction techniques might be applied either at the continuous or at the discrete level — continuous-based and discrete-based hyper-reduction. Continuous-based hyper-reduction methods (e.g....
m
1fdeb7ff25bc50d51ce24aed282da9c1
There are several limitations to our analysis. On the one hand, based on current evidence, we use biological parameters that characterize the SARS-CoV-2 virus that are not fully confirmed in practice. For instance, we have explored the unknown susceptibility rate (relapse probability) and found that its effects on our ...
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d656e57ffd7d4a938d5c242dff38c18f
where {{formula:d9df2827-017c-4d74-9f72-36f349e63c85}} denotes the set of safe policies, and {{formula:52cc56dc-6ccb-4284-a9d1-7875d896a758}} in some sense measures the “sub-optimality” of the policy class {{formula:04706e02-a7fe-4f8f-97e4-838f484df4cf}} . In case a fixed sub-optimality gap {{formula:49255ea7-3670-42...
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a4d36ab50641b1d339bf650d5ded196e
The limits derived in this work are compatible with other limits and sensitivities of future ALPs experiments, as shown in Fig. REF . Together with the SN 1987A {{formula:05566539-8ae2-4614-89f9-ebf17ccf87fe}} burst experiment {{cite:7eddaebb93e500e211f51df467b0025d369b3eee}} and with previous Fermi-LAT {{cite:e34c8d7...
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3a34a9f5d59c81e364eb50e7cd921c79
The HE gamma-ray light curves with a weekly binning obtained from the analysis of Fermi-LAT data are shown in Fig. REF . Flux points are displayed only if the significance of the source is above a TS value of 10 (corresponding to a {{formula:4d902531-29f4-43aa-9c18-e865521ae8a2}} detection), otherwise a 2{{formula:dd2...
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5aacdd44ccc14aa6c039aa6ce2873720
Projections of IPCC AR4 and AR5 and regional climate models {{cite:01f253e45be73aa5b33ebe3f99397997476dcbd7}}, {{cite:e25e8126d14bf588711256f8fa726fdd2425e9d7}}, {{cite:5b6214acc42908a2df352f05a00d6493ab667b13}} suggest that the eastern Amazon may become drier in the future, and that this drying could be exacerbated by...
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f0c5268114f451f1c5dec506ec2cc4ff
In the last section, we restrict our discussion to the case of HYM connections over general complex manifolds. If we assume {{formula:60f4870b-1782-443c-aa38-af1c5775ac75}} is the limit of a sequence of Hermitian-Yang-Mills connections over a compact Hermitian manifold, then by using the argument in {{cite:6454c0dfd32...
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7a10463af581e2ad66cdf083c03aa49b
One limitation of our study is that it considered only planar objects. We expect our approach will extend to 3D objects, like recent work that has successfully implemented tactile servoing to slide over complex 3D surfaces (3 pose components) and edges (5 pose components) {{cite:078c181f53f76f3dc492a69f4c2b0998db83d1d1...
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6b4be5b55faa5d2487180350e24d3119
The blockade radius for an ultra-cold atomic sample is defined as {{formula:e939faa4-e382-4275-a895-67c08dc041ae}} , where {{formula:aedc96dd-1f3a-46ee-ab2e-5067753d4aaa}} is the effective Rabi frequency of the Rydberg excitation and {{formula:7b2224e2-c76f-48ed-936a-ef7ac302ec93}} is the strength of the van der Waal...
i
87c7bfa14e6a34e1593cc606d4b14dd0
After considering these possible avenues for improving BENDR, we still do not fully discount the validity of some of the transfer learning paths we appear to exclude above in our introduction. We will reconsider these paths in future work. Particularly, given the success we had in crossing boundaries of hardware in thi...
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14d68c9387e259c96a91728866b80e29
Our two contributions for GLL follow the same simple idea. We leverage the GLL structure, namely the fact that these losses are effectively “one-dimensional,” to make a fast approximation of the Moreau envelope of the loss {{cite:b44dcd8a226fcc2665e25da0c5d8348fb60fa2b9}}. We can then exploit the smoothness of the enve...
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4e9af0ffcdb657909841fab531db0bc3
In this appendix we introduce several classes of heavy-tailed distributions that are considered for the job size in this paper, see also {{cite:598d2bbb4af72cf3f29e21dc9dff5881fa1ffac4}}, {{cite:e4985621594e55c466adc6bee13b247f1ac7af8c}}. Let the complementary cumulative distribution function be defined as {{formula:8a...
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0ccc227853d277639f0c92e47471d5fc
Here {{formula:4d64a58f-57d5-421b-af2c-63c228a5e62e}} is the density of mass, {{formula:8306ef0f-9a81-4b83-a400-76153f0e9260}} is the current, and {{formula:5fea1a7c-f4f8-48d3-9563-5c7e1dab0295}} is the constant diffusivity coefficient. Equations (REF ) and (REF ) can be obtained as the hydrodynamical limit of diffu...
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66663e5951e423f085bd62ff35f5fbb1
SA-RNN beamformer vs. Conv-TasNet: The MIMO Conv-TasNet (i) with a fixed STFT encoder {{cite:fb02e8de344ad43840bba59f4566d6a5ca403ef7}} is a variant of the original Conv-TasNet {{cite:a39fb7dee9f9f59ed69e9e6dca78bbe5a15da53b}}. It is the cRF estimator without the beamforming module as shown in Fig. REF . The input to t...
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{{cite:21d359380f029646bd43f08ede09b03e966d7dc3}} considered a special case of DG in which the target domain is a convex combination of the target domains. However, the number of target domains that this technique can cover is limited if the convex region of the training domains is small to begin with. Extending on thi...
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One of our goals is to explore the nature of nonlocality in open systems, in hopes that this can shed light on whether nonlocality can also arise near horizons for black holes. Nonlocality in this context traditionally means the extent to which the effective action (or Hamiltonian) is not simply the integral of a Hamil...
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20af1a4dd78ccf4a4c3eb15e833933ea
Hyper-parameters settings. For all simulations, the learning rate in Eqn. (REF ) is set as {{formula:f8cda1de-81be-4795-bf5c-a15efc74ccfc}} . The implementation of the quantum encoder employs the hardware-efficient ansatz {{cite:43292d0d2db30313181703ee74ff5bab3dc98111}}, {{cite:fd4750272954f243f97f1047e6049d2aaf47d974...
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d51a03c9f25aaf59f772414667c4449e
We construct an ensemble of EoSs based on the piecewise-linear speed-of-sound parametrization introduced in {{cite:aa8bb512c022f956d17942b7248b644afd21523f}}. The model has been already used in several other works {{cite:d3d465affeceaadde3cefa6cbe63ca083010cc95}}, {{cite:515c82b41dd3833c4623a11b8dece9077efe51eb}}, {{ci...
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Artificial neural networks often give good results, but it is difficult to understand what they learned, or on which basis they generate their output. In the following, we will try to dissect the proposed model, understand its workings, and see what it pays attention to. To this end, we compute saliency maps using guid...
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In order to estimate a standard error of the mean for the number of remembered items across participants, for each list length, we performed a bootstrap procedure ({{cite:12222992f843c5ff6e43524856844f6177a1b249}}). We generated multiple bootstrap samples by randomly sampling a list of N participants with replacement N...
r
3cda99896c246166fa09f58efe9ec4f7
In this work we focused on NAS for medical image segmentation. Due to computational cost reasons, we used a 2D segmentation paradigm and quite compact architectures. However, it was shown {{cite:c86f5831a12b01bc779299174aa70c8e505585d4}}, that using a 3D segmentation approach (i.e., train on 3D volumetric patches inste...
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a60163dee71b7a27c3cafa77d11a0b10
This was confirmed for {{formula:82bc2968-fc26-4df5-9f0f-fe5a7e7b75ab}} by Singer himself {{cite:5903bda55c6391d79fd614648c33e85e0f5083bc}} and Boardman {{cite:52babac0648788f7544a39f218bc76d81a1618e5}}. Our recent work {{cite:eb27426a734873ad328d92c31a5f4384c6191262}} shows that the conjecture is also true for {{form...
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b8191114f76339ba915dccb11fcd9b30
Quantum computing and machine learning represent two of the most significant fields of computational science to have emerged over the last half century. Over the last decade, attention has in particular turned to the ethical implications of machine learning technology, resulting in the emergence of a burgeoning multidi...
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163839b129952a71af87a19d0794cdf5
paragraph41.5ex plus1ex minus.2ex-1emCase 3. Next, in Figures REF and REF , we present spectral properties for Case 3 in Table REF , where a spike detaches from the bulk after large-step-size training. Notice that Figures REF (b) and REF (a) imply that the bulk spectra for weight and CK remain unchanged over training ...
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26d4d37a74c6cf69d94aaa504c18fcc8
where {{formula:e09f0a6c-691b-45be-b126-8dde5813687b}} and {{formula:b4264c16-fbdb-4ccd-a10f-c3f8d7593f85}} are BCPTP channels, and {{formula:fdf20d9f-e17c-44f4-86d3-18addd66956e}} and {{formula:5b47eaef-3a38-4dca-a044-6b1946b9bd83}} are probability distributions. Eq.(REF ) implies a universal circuit with two-dept...
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2cbcdadebd6879d5145e13f0052bdae2
Referring Expression (RE) is a widely studied cross-modal task in both computer vision and natural language processing fields as a vision and language task. In a RE task, the agent needs to localize a specific target object in the image in response to a given natural language referring expression. Most of current studi...
i
ef08cc64f96dc28b0089208627f9421d
For our numerical calculations, we discretize the Hamiltonian to a tight-binding model on a square lattice of spacing {{formula:05368fb8-eb07-485b-8c41-cd44afc606fa}}  nm. Simulations are performed with the following parameters: {{formula:af56039c-a966-44e9-9a42-cdb0c58e7fba}} , {{formula:59dd77b3-1521-4532-8298-6aceaf...
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bce9a348b9626ed58f3b7370eb6b90c6
In the light of our results, there are several directions to pursue. Although the extra part in the single copy equation (REF ) was shown to vanish for all the examples in the literature, a general proof or, at least, the conditions under which it is true are still lacking. The resolution of this might lead to a better...
d
7ec80c14a566145b14124015d88104ad
Figure REF (right) shows the temperature {{formula:03824a63-8917-49f3-963b-79f24c54445f}} and density {{formula:406f62fc-a01b-427b-8791-efb5c1f7f299}} as a function of radius {{formula:e9c1b1ad-055d-44cf-b416-6884b32d3591}} predicted by our maihem simulation for an adiabatic example. It has four different regions d...
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5f692517189326c52bee640590316e9f
Here {{formula:b9f33a14-2af8-48e7-b0e5-78090ef48c64}} depends on {{formula:83c8f577-3267-49b8-b3c9-eeb4ad1e805e}} , historical search direction, and {{formula:a882bee0-f838-4574-bed4-aa230a36e702}} is a diagonal matrix. The diagonal form of {{formula:495d10db-521e-4d23-8cd4-75ea7fbd3533}} allows for different effect...
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5483fa96aff5369c7dd579de466c94f5
It also comes with a collection of pre-trained models whose performance has already been reported throughout the paper in Table REF for voice activity detection, Table REF for speaker change detection, Table REF for overlapped speech detection, and Table REF for speaker embedding. While speaker embeddings were trai...
r
ba479dad39f370da62b594ddcf8d5cce
Although there exists an extensive literature on these kinds of image-to-image translations {{cite:a33725aa1341cec1aa99afa021f1dfd52178657f}}, {{cite:17aa2f70f1b87ba5564506787fbec09c20d114b2}}, {{cite:1dee070415a23149be59cf53e8ca1f5b758ae2e6}}, recent works also focus on the multi-modal domain translation such as synth...
i
f524e91e3c8fa0b8beef444e1141f5ca
Table REF shows the recognition rates for multiview DAIN that outperforms three other multi-view classification method: FV+CNN{{cite:d64b949980559c4df50f8c86a785e84a342a818b}}, FV-N+CNN+N3D {{cite:ea6ab6f71fcfbe7b9193aa931cc7293c75857e0d}}, and MVCNN{{cite:1c3d9039226d7a3ada044f1685f5be8bab9b2ef4}}. The table shows re...
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0135318dbfc879631c17bcbdae9264f1
Due to the relevance of the topic for applications, it would be important to understand stability properties of such inequalities. Isoperimetric inequalities in quantitative form have a long history, see {{cite:d16d16de7c8da0b8261bc2cd080f7b576ceac81a}}, {{cite:7744c174386c0d512cdf9dbfcb535b45972fdc56}}, {{cite:129b955...
i
c8bc73cbba3a4b53511953a852f7033f
It is well known since the works of I. Newton {{cite:1c2383ce954f8762a3f531ef6284d9ccc215064e}} and L. Kantorovich {{cite:56f0f7c5f82403a3c1a7c00c2e2f69fedb20c1eb}} that the second-order derivative of the objective function can be used in numerical algorithms for solving optimization problems and nonlinear equations an...
i
a4cc8c861b59eae1048405fcb43af650
To the best of our knowledge, this is the first instance of non-supersymmetric but perturbatively stable AdS{{formula:dbb942ec-3889-46ff-b6af-0eb5b53e155b}} vacua continuously connected to supersymmetric solutions. This makes them very interesting cases of study in the context of the AdS swampland conjecture {{cite:36...
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1fd0b4a429028605fd5179802fbb6464
We proposed a generalized CNN+LSTM model that incorporates an environment-specific LSTM cell for potentially enabling learning across different environments. This apparently simple yet more general architectural change, compared to a baseline that uses a single-cell LSTM, was found to be even more accurate and robust, ...
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f89c74ab0070dcfb8671007ba3976856
Apoptosis is an attractive model system to study fate decisions, with a neatly defined outcome and a solid background understanding of its regulatory network {{cite:24262078443119b0cf154df2d8afafb303b7ed60}}, {{cite:afff2ee2ff3de0147f366f9283c4db8a6fcdae95}}. However, some key questions remain open {{cite:3b2803b2ab001...
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8fc5adc5a3a7db9af0ae173c2a5e8e83
We next focus on the problem of Robust Principal Component Analysis (PCA) in Section . Though this problem is not of the form (REF ), we will see that flat solutions (appropriately defined) exactly recover the ground truth under reasonable assumptions. Specifically, following {{cite:e694f8449072550bcd7d64b4becd8f251981...
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0d8e2bb675719e57eb6bec456f11e8eb
A classic projection method with BDF2 time discretization is used to solve the velocity and pressure. Denote the numerical solution at time {{formula:82f0cf43-4d09-4241-99fc-358eee16a188}} as {{formula:68831ed3-edc8-42cb-8b0e-3ff8b6262e38}} . To obtain {{formula:36c42f3a-267a-4ac2-b0bb-feace7d8e03c}} , the so-called “...
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70d909b2c8f756d93650ce128361686b
In Figs. REF a and  REF b we compare the model predictions for {{formula:8428cad2-34ee-44af-86ba-a4a499516fd5}} to the recent JAM'20 parametrization {{cite:d24a2348e487d318a912a691eecdb0c1e1eda14e}}. The CPM describes the sign and magnitude of the transversity quark distributions well. For larger {{formula:78006313-12...
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25bf2c283e1ca8b2c9d1a607a458ee26
As discussed in Section REF , traditional forecasting-based anomaly detection methods are primarily based on auto-regression-based models such as AutoRegressive Integrated Moving Average (ARIMA) {{cite:4ced2419a7243801b78aed54e61194db5c3b0359}}. With the recent advances in deep learning, LSTM has been used to replace a...
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f254ebdecdcb7f84aa421bc9840b6cfc
The masses and widths of the isovector-scalar resonances {{formula:149cd817-8ed6-4c86-aa18-fcf397a15fd9}} and {{formula:2d60d8da-af74-4230-8d03-d1cc150bac34}} are presented in Table REF . They have been fixed during the minimization of the {{formula:b5a8212b-6aca-4f6b-8897-a836fc119925}} function. The parameters of ...
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e0205d0e7c2718fdc10cc1e27287a4e5
possibly paired with a regularization/physics-enforcing term {{cite:f818bb1a55b4910e8ff400014ae7c99987609ac8}}, {{cite:244ccbb4931a5d5ecd18eaac5ff4df8de838036e}}. Regularization aside, the differences among objective functions typically come from how the estimated output {{formula:3465a15b-f753-42d8-b4e0-148323057c77}}...
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b0634e772469d0769503ac8139ae3b04
Both methods employ an encoder-decoder network {{formula:e91a6706-036a-402c-b6e0-e1f3b5f047c6}} that maps the input image {{formula:dae9dd36-ddb1-48ca-b008-17bfbbe07273}} to pixel-wise weight mask {{formula:38350ee6-764f-4151-ad48-da8a1b9f9d00}} . Such networks are typically used in supervision segmentation {{cite:d1...
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298ae287488b82e87abf61420b86e8af
First assume {{formula:9aace4cb-5138-4174-9a6b-fcd375d3ec24}} being holomorphic. Then {{formula:63e23aee-c00c-4db5-990c-a3b51d8b8d93}} must be zero, because otherwise {{formula:992d7540-81ef-4438-83cc-e6dc8d6777f7}} . If {{formula:a8886837-9718-43cd-9911-419672702281}} vanishes identically in {{formula:d340768a-9a24...
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cb86d1bd5d375e8cb7488804f841bcf9
The goal of our algorithm is to take a series of {{formula:904bc4d9-49b3-4782-8942-a8b431b62189}} synchronized stereo image pairs {{formula:fc97195b-97ab-41e6-b98a-3eece977a4c5}} , thermal images {{formula:0db95152-464e-468b-8227-42a38d12021d}} , and laser point clouds {{formula:387dc1d9-b8af-4034-ada2-18dba90005c7}} ...
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Answering Q1 to Q3 is trivial by parsing original and augmented sentences using a pre-trained dependency parser and calculating descriptive statistics. To answer Q4 and Q5, we propose to calculate NCPTK for each pair of trees in an augmented batch. To perform the calculations, we transform each dependency tree to GRCT ...
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dea07892f29abc56f2fa28d23b198e8a
In particular, it has been suggested recently that the soft limits of the {{formula:5040dffa-b1a6-437c-9a6b-dec749a78722}} -point correlators can be the discovery channels for heavy particles and new interactions with masses up to {{formula:b0987e68-3025-4e95-ad65-264c3a0999c1}} . These studies are based on earlier wor...
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9e5084a137b357cc883b4ba2f1761987
We propose an alternative utility model based on facility location optimization methods {{cite:ecd4fe70c7593a3c64b0d94dc59f3c729d708a4b}}. In the facility locations problem a utility can be constructed that uses a greedy algorithm to minimize the cost, or maximize the reward, of building a series of new facilities in a...
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We evaluate our method on the test dataset derived from the KITTI dataset, and compare it to state-of-the-art video frame interpolation methods quantitatively. The same approaches for 3D-2D projection and 2D-3D reconstruction using Equation (REF ), are applied into the video frame interpolation methods under comparison...
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ccc185315d0db84d3f6b150c5dad6607
In this paper we constructed and studied a three-dimensional model that exhibits global continuous symmetry breaking at arbitrarily large temperatures. To our knowledge this is the first example of a UV complete unitary 3d model exhibiting persistent breaking of a continuous global symmetry. It bypasses the Coleman-Hoh...
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8847d3b7ab659ed260fea800401e61a2
We consider a uniform linear array (ULA) and a uniform planar array (UPA) for the configuration of the BS and IRS, respectively. In particular, we have {{formula:3f2f0f7c-b7fb-4b99-a870-06f728933f11}} while {{formula:27d6dea9-dfbd-462b-bf01-adfa8fddda2b}} , {{formula:214b3f16-5f07-499e-acdc-60169bc9bb5b}} are uniform...
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We used the DCASE 2020 SELD dataset {{cite:ca78da32ae36baff79464d91463244cc2d5aaf8f}} for our experiments. This dataset provides both FOA and mic-array format with 4 microphones. The dataset consists of 400, 100, and 100 one-minute audio clips for training, validation, and testing, respectively. There are 14 sound clas...
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1f428be11ee413d8b2f5925c41bec625
Multi-scale training. We summarize the multi-scale training as PyTorch pseudo-code in Alg. . The training scales are randomly selected from 25 patterns, whose height is ranged from 512 to 1024, while width is ranged from 640 to 1280. We also randomly crop images from [0.83,1.0] of the original scale. The global batch s...
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Since the last hundred years, there have been many attempts to modify or test GR {{cite:bee31a404760e80ecc57bc71074d1549d516b0db}}, {{cite:d5c74ad3673d818c5178c16aae6870c3d8b578ed}}, {{cite:f96bdc942c65116a838da41022cac5a1c87ef40b}}, {{cite:8898f95c04f55aca71028dcbcc21fa3b2800618b}}, {{cite:c60a9561b81fe895386f9b7d7b2c...
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85c4e4afb147b5eeb07de4ac0a42e767
Equation (REF ) defines the quantum gravity state over the whole superspace of metric configurations on {{formula:77919da6-5b49-4386-aed1-5a0d830978f9}} via the deformed partition function defined in (REF ). However, the fact that the deforming operator (REF ) is irrelevant means that this theory has a cutoff beyond w...
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232e7b51c1cdef66cc989ccb163d1748
With the rapid growth of deep learning, handcrafted features and predefined filter banks in the BoW paradigm were replaced by the `deep features' and have achieved state of-the-art results {{cite:20f58d0a6a71b65f1d507621b4900aad37476433}}, {{cite:2a939667502641b95b68f97228eb90ed5f78e761}}. The main challenge faced by t...
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9f5a8b327be3a7bc8ce150b4e672d360
For visualization purposes, we consider a simplified example with {{formula:c750021e-8368-4e43-b317-bd8a635e5830}} nodes, as shown in Figure REF and demonstrate the difference between the regularity functions. Figure REF shows the contour plots. Under a lasso regularization ({{formula:6278078e-27f0-4efa-9091-781ce77...
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689b040478cd560336abae1096fbdbb5
CASA {{cite:7d897f88c3ba0f44df98c416e46199c2a935ba74}}, Astropy {{cite:ee247b82f0013ab8b51e7d19688bb9399a307170}}, SunPy {{cite:88263d681889b9ddbc923a2e4cf88708937e26b3}}.
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4808afd70768d0f84275536614345eee
In this note we introduce a category of finite strings and establish some connections. First of all, we notice that the category of connected strings is equivalent to the augmented simplex category {{formula:b1627b18-096a-460b-b304-0537a10a1840}} (cf. {{cite:6bcd398cb102587e9a364d2b1b65a853d3e9eb16}}, {{cite:2fd2a5c87...
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7d93a8c0a35eed4df32626341365a2db
Furthermore, {{formula:89e1a61b-083f-43a1-a7f8-4abceed5b036}} might itself be unknown. If so, {{formula:3d04bc1e-e6cb-4194-87a7-a453738cc802}} can be calculated simultaneously with {{formula:9e0ffd19-c3c9-4901-aee5-610723b0deb3}} using value approximation techniques like MC policy rollout, TD({{formula:82730946-f2d4...
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e962c0c8fb3f1067d62552fd280f6144
Besides, the aforementioned combination of {{formula:b515c159-1460-47b0-bff4-c0d7cbc4a128}} plays a key role for the hadronic contribution. From our calculations, a steeper proton spectrum would require a higher density within the PWN. As for photon energy {{formula:4a776f39-a4b8-4457-93fd-2c7938878d9b}} TeV, all thr...
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a9fc6210c5b86f7f7fe0733f1b3cd89e
where {{formula:451e2b47-a230-48c5-90a0-6ebde6f97372}} is the probability of the system in configuration {{formula:02a059df-1969-450e-87cf-0d1b916fcd9e}} and {{formula:65521d7d-34d2-4260-bdc2-f89f79f45b23}} is the probability to perturb the configuration from state {{formula:eb4ef810-a1c8-44fe-bba8-e67126d0af6d}} t...
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99e53f82727d3b2897f7b45881d774e6
To illustrate how the derived expressions can be used, we take the example of an isotropic Heisenberg {{formula:d79f87f0-c361-4402-9f67-45f811af8b00}} model submitted to an external magnetic field. Here, we estimated the temperature and the magnetic field of this quantum Heisenberg model in which the Hamiltonian descr...
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0f27223005c12533568fd36840147d0c
Definition with {{formula:97363084-c238-4476-a6f8-8c7b287d7c3a}} polynomials. The classical Hermite polynomials are defined {{cite:544415e7fbf81af2ceafecc7cfa9a70027e06200}} by putting {{formula:dfe33732-5b18-4db5-be8a-f7f211ff8e12}} , {{formula:4b8226ab-24d4-4d25-b04c-67f50d84e9bb}} and subsequently {{formula:210aff...
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8616b20beed2acac1a236028357e6465
In this work, we further conduct data-free training on semantic segmentation tasks to show the effectiveness of our method. In segmentation, we only use the feature regularization loss and adversarial loss of REF for data synthesis. The mIoU of the student model, as well as the data amount and synthesis time, are repo...
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bdfcc10113d5c5a031fd47f131976853
Respiratory motion during Magnetic Resonance Imaging (MRI) has been a long standing problem that leads to considerable reductions in image quality {{cite:547ec3b22cdfc8a32ca4fc21e7ed26e86602bcfd}}. The solutions traditionally proposed in the radiology workflow are breathhold or respiratory triggered scans, which are ef...
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fed85e78efb47a9fbab83527fd86df62
An important aspect of this connection has been the role that quantum error correction plays in the encoding of the bulk in the boundary {{cite:e8bb20f036fea7460c962e3ac53c1bb6e7676d3e}}, {{cite:c5a802b955b64a02cb1ddce4aee901601dce6a05}}, {{cite:54f30288dfce1fec5773d0e772fb0acb1a1ab490}}, {{cite:45a6636d226085663b5cc90...
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124656176d38f533a6aec2fe9853eeb2
Figure  REF shows the increase in quality of community finding (SN-modularity) over iterations of the SNIC algorithm. Recall that the SNIC algorithm decreases the distance constraint at each iteration. As the geographic constraint decreases, such that community proximity becomes more important, the quality of communit...
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b4ce84859174b95774e7032e9896a9c4
Figure REF shows the quantitative results in LDP mode and RA mode. Without the loss of generality, we take Figure REF (a) as example. We choose VVenC as our baseline, and test its performance from QP=35 to QP=62. Higher QP value means higher compression ratio. As mentioned above, our method can implement dynamically-a...
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491bc94c617cbb49119b97ac4edb19b1
SEMPRE {{cite:4a34ba99abd5ceccd17d76aa9262feec9eea269b}} constructs queries that can be executed over the KG using semantic parsing of the input questions. Using a lexicon to map question surface terms to KB entities or relations and a set of composition rules, it recursively constructs more and more complex formal que...
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43e1ae2af52abf17f84e8c388d8ede73
We used the Gaussian mixture model{{cite:53105e83130a3d591497ed7a959fac831919cf39}} for clustering, where the goal is to find a set of K-normal distributions of mean {{formula:22371661-a326-4c53-a427-2ed7fc7d33b1}} and covariance {{formula:f3e456de-9e40-438f-9985-d67bbda31660}} (where k=1 to K) to best describe the o...
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39d3511c9d8fbf1e04c98faf99b2bbc7
Most DL methods for trajectory prediction do not uncover the underlying reward function, instead, they only rely on previously seen examples, which hinders generalizability and limits their scope. In {{cite:81f3b28c38cfd213be43c1b794581b58034a1469}}, inverse reinforcement learning is used to find the reward function so...
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31bc221521df8534831f6581651c75ea
Due to our investigation being innovative, we are unable to compare the obtained results for different values of the fractional parameter. As a consequence, we recover the classical solutions of the DFP and its shifted by setting {{formula:c10fa3c5-5495-48af-bb45-04edcf34038e}} and comparing our results to those found...
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8c6a9382e8847d4990de4852edc82d57
Figure REF provides the block diagram of the proposed methodology. The proposed framework for explainable event recognition is composed of two main components. The first component is consisted of fine-tuning a pre-trained CNN model while the other component is based on the Grad-CAM, which generates the activation maps...
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deade7f491d174d809fba4c118fab521
The supervised baseline we consider refers to the ResNet50 architecture trained with cross-entropy loss and full access to labels using the same set of basic data augmentations for 1000 epochs as proposed by {{cite:91198b7f71ce6165aa85c0c9596406e915641c89}} and used throughout the representation learning literature (c....
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b32fd494a1e7f121cdbd4b4fe42c125b
is always tight in the Gromov–Hausdorff–Prokhorov topology, whatever {{formula:523f3027-66ea-4f29-a5fd-fbd617b394a2}} and {{formula:1453ab8b-d7ab-4493-8b78-1b941fc6b09b}} , thus extending results due to Le Gall {{cite:78b915f49e2dc3c186ce70f9f4c855f0dc10201d}} for {{formula:663b1133-3133-4dd7-b713-7ddc79600efe}} -angu...
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3a27388d20f89d2b4511ded6c1473fa1
In the plethora of opinion diffusion models, threshold-based ones are certainly the best known, cf. {{cite:383756a23248c66907b18888db69de1f4d4d2baf}}, {{cite:c3b3a2b578f359290c3b0e259a6ae8e8dc1f4fb2}}, {{cite:58c8900c9aadec52c04c0f2f3eb32b88c440b877}}, and {{cite:54e5ae19dc28e44949346f0048dea13c70d3273a}}. There, nodes...
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fe8b43bdfc4810af67636f72176f06c9
EL with GCN encoders  Graph convolution networks (GCNs) {{cite:d499a9cc8a86b08d83a83fa286c558d7912fa457}} generalize CNNs to general graphs. A GCN is an encoder where node representations are updated in parallel by transforming messages from adjacent nodes in a graph structure. A message is nothing but a parameterized ...
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efa909e643e35b6fd5fd235f76e57075
Numerous techniques for smartphone-based indoor positioning have been developed, yet there is not a single solution that can guarantee a reliable and universal service {{cite:ee5b815b11d49193900ebba3cb36ec9f474a2401}} on its own. Most techniques exhibit their strengths and weaknesses under different conditions. In comb...
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30983eb15358414cda4246c398c3037d
{{formula:5a1f8aa0-b6c9-4a7f-bcd2-dfad14943bdd}} baryon : Table REF and Table REF shows our estimated results for natural and unnatural parity states respectively in {{formula:3189486a-e307-45ef-b2b8-a921887c393e}} plane. Our calculated ground state {{formula:f0abada2-e835-4fbc-a49b-f2482b41d9a7}} mass is in good...
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d5e012727a3302651c7185f1968abfd8
CVC-ClinicDB is another commonly used dataset for colonoscopy image analysis. FANet architecture outperforms all the SOTA methods on this dataset by a large margin with F1 of 0.9355, mIoU of 0.8937, recall of 0.9339, and precision of 0.9401 (see Table REF ). FANet achieves the best trade-off between recall and precisio...
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cf8d5d8ba287bb3d50dc224f5a85daef
The attention mechanisms fully simulate the observation habits of human eyes, which always concentrate on the most distinctive regions for observing. For example, we can easily pay attention to the head and the wings of a bird and ignore the other common regions to identify its species. Based on this motivation, many m...
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9eb4ce8e8f48deb06ee8cf184e23e4ab
Feature Selection methods used in this work were implemented using “scikit-learn” {{cite:059027e636f54c9cf9cf5acba92c330dfe66fc58}}. For Variance Threshold, features that do not change in more than 80, 85, 90, and 95 percent of the observations are removed. For Chi-squared and ANOVA, features are select according to a ...
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f17ed945d8a56b1ed96d7d1f2893585b
where {{formula:a0d8da61-f29b-4f6f-bc60-92c9a2188645}} is the raw pixel-colored monocular input image and {{formula:8ff04cf1-839c-44eb-94e0-53b2e3bcf35b}} is the velocity applied to the UAV. For Depth-CUPRL, the Equation REF passes through {{formula:ee047736-a474-4c7b-b0bf-8e8130df8aee}} which generates a depth ima...
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32c3f7ae527b86f6f4ea55e3fb0d651b
One must note at this point that though there is a maximum in the distribution of fluxes near the value {{formula:3c4657ce-5530-42d1-891e-2b7356e7c11b}} , the histogram of Fig.3 has a finite width. Thus there are bursts with {{formula:fb4810e9-d755-4fe8-8411-cc8f9869cdcc}} values as large as {{formula:7c00d6cc-9538-4a...
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87ea15e2db9e0d818d8ed71c06fe77d9
Unless otherwise noted we adopt a set of “standard” parameters for our model, in which the stellar separation is {{formula:e6ac4c86-e691-432b-ab50-656a92c08c02}}  cm and the viewing angle {{formula:3430f785-2794-4b4c-a398-d063f1a722fc}} {{cite:4192cc2971a3d39f365e7c71e6f441a9a5d8cfce}}. Other parameters of our model a...
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68efe31204e1600c78542c16bdf24639
The lower bounds of Theorems REF and REF are satisfied with equality by a specific first order method that is an approximate message passing (AMP) algorithm, with Bayes updates. This can be regarded as a version of belief propagation (BP) for densely connected graphs {{cite:2216bb301aa7c5bb9e496d0673f2e087fc02a21a}},...
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b539df69ef0eb9ee09af58081dadfef5
In Ref.{{cite:f1b279f735e8b41a3b616662d860180fc25557ca}}, Chen and Zhu study the hidden-charm tetraquark states with the symbolic quark structure {{formula:a279b9a2-7dbb-4f31-840e-e6d7be025533}} via the QCD sum rules, and obtain the ground state masses {{formula:8ebcdb81-bcb7-4591-a8f1-40d9337c74a7}} for the tetraqua...
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db5b9d786a45c91d8b3bada2add93ae5
Our approach targets at pulling nearest class samples together with calculated prototypes, this is similar to the idea of some clustering based methods. So we use intra-class similarity as an indicator to measure our learned features. We compare our method with two classic clustering-based learning methods, SwAV{{cite:...
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78a68f8feb2402aaefdd49be0db8cd6e
We demonstrate the framework experimentally for the case of localizing a ground vehicle in a reference map, using only cars as semantic objects. Only stereo camera images from the KITTI dataset {{cite:3a35dd45a43937f30d815b5b5c9f537c58682731}} are used to create the ground vehicle's object map. We consider reference ma...
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5e7295ee0eb96e4d271bfb9726857d5e
We observe that the accuracy of the model drops on the held-out LTL commands. This problem of zero-shot generalization (specifically, the ability to generalize to samples unseen during training) has been widely studied {{cite:6056656cffb34dabef98465ab965314ab3f88e2f}}, {{cite:2b871cafb58bc937e5082057cbc49eb20a56785e}},...
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071c3501945f91bffcb3c6965078e609
Here VE is the anticipated efficacy and {{formula:3f04aab2-d5ee-4ea7-ab90-5c16e0b7885b}} is the expected difference in VE in absolute terms. We showed, however, that at low prevalence rate, equation REF significantly underestimates the variance. Using an inadequately small variance could lead to underestimation of th...
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b32be19493e3e62c22a537951f35b470