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Polymeric systems exhibit a wide range of characteristic time and length scales. This is readily illustrated for the example of natural rubber, i.e. melts of cis-PI chains with a typical length of {{formula:67ba0215-4e3d-4641-bf1f-ece78a024d2c}} Kuhn segments. Important characteristic length scales comprise (i) the Ku...
d
8957b18e9d114967e2dd5b2e91ce79f3
Current experimental techniques have allowed the manipulation of atomic systems to previously unthinkable degrees, paving the way to the development of new technologies and the observation of very small quantum effects. One such technologies is the quantum computer; trapped ions systems have been implemented successful...
i
5fbf23a8db1b682667be99bb68887862
where {{formula:d11af20e-787c-48d1-9185-e38285733f4c}} and {{formula:a88ce351-125a-470a-8ff2-281009bda008}} . The primal-dual hybrid gradient (PDHG) method (see, for example, {{cite:751e6e614401be402e6aa0c246f8f2dbf6e41f01}}, {{cite:10948d814c1bf0c46b37ad09237374fbeffd7141}}) is one of the popular methods for solving ...
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ac1909a0a2ec398d09b1f31ad3ec9269
However, retrieving information from the electron spectrum beyond {{formula:01651ede-abdd-4ea9-b229-98140232a14a}} in general requires an automatized, data-driven approach. This is all the more the case because PIC simulations are computationally (potentially very) expensive, which motivates researchers to this day to...
i
fe0ca64f9291dd0b6350930678652ae0
For all neural network models, we choose a validation split of 10%, a maximum number of epochs of 200, and an Adam optimiser. We also investigate the effect of different learning rates on the training of the models, with eleven logarithmically spaced values in the range [0.1,0.000001]. We make sure that the chosen batc...
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87271f75d20c5d390fcd74c7bff5c2e4
3D molecular structures contain spatial information important to molecular property prediction, such as bond angles and lengths. Many recent methods try to answer how to utilize this 3D information in the GNN model. For instance, Klicpera et al.{{cite:6efcc961bc45fb22c6f0382cc3ef8274c133ff0d}} proposed to let message e...
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b2c64f97ce258061e8b327354f898969
Finally, Credence's evaluation is conditional on the assumptions encoded by the users in learning the DGP, and therefore its diagnostics are as good as these assumptions. For instance, Credence assumes no interference, and no measurement error; if this were not true, the expected performance of candidate estimators of ...
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515e01f6b523137035bf2ab60e0b91c8
Fairness in artificial intelligence (AI) is a relatively new but fast-growing research field which deals with assessing and addressing potential bias in AI models. For example, an early landmark paper {{cite:d0e7a152db66eb78a5932dc200bc586c62610859}} found differences in performance of a video-based gender classificati...
i
c86bf2251676a0b7398529f6d408416e
We detected molecular emission from multiple strong CH{{formula:7ea42551-8fb9-4d8f-973c-1b0689394b87}} OH transitions near 241.7 GHz as well as continuum emission from dust in the coma of Wirtanen. Molecular line emission was modeled using a three-dimensional radiative transfer method based on the Line Modeling Engine ...
r
e4e88621c8081161bb6a7f1b43d57849
Based on this approach, we need to model the networks' global context issue as an optimization problem. Take the convolutional neural networks (CNN) as an example for further discussion. The networks output a tensor {{formula:fa188106-2ece-42a0-b2a7-e6e055e440c1}} after we feed into an image. Since the tensor can be s...
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ac8ed2254cbe7e19e6b72ce63886a5cc
Generalization to different net architectures. We transfer the learned LR schedules for different net architectures training. All the methods are trained on CIFAR-10 with different net architectures. The hyper-parameters of all methods are the same with the setting of CIFAR-10 with ResNet-18. We test the learned LR sch...
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c613636e65f26ea3c9aece21daa729c7
In order to accomplish our goal, we are going to apply the algebraic formalism developed by Ruzhansky and Turunen {{cite:c266a138b00291ad6583b200d0e528a773d26fa9}}, where the notion of a global symbol has been introduced for describing the Hörmander classes of pseudo-differential operators, see Hörmander {{cite:b4e72bc...
i
f43c906b668feee1cd50f9b4e36c248c
We extend the universal approximation theorem of {{cite:9b4dec58093331e11410f07c454cea484e34af42}} to Theorem REF , where we show that given any measurable operator {{formula:0aa13cbb-e2cb-4850-871b-ec9278a0fa04}} , for {{formula:fdd8e24f-e10f-40c5-b941-23f4f7e91044}} , {{formula:c3e653e1-1142-4a8a-ae98-6003a0e12623}}...
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3c660a55bf72426286aee72817fce2ce
Remark 1 Here we provide a sufficient condition on which {{formula:11a8db31-497e-4f49-abc2-6dc551f4ac21}} implies {{formula:b9abc043-bc21-4270-976d-8f2bbf76a7e8}} weakly, this condition can be found in {{cite:e4020d225829479f9a3e18666999a089637347fc}}. Since Mirrored Stein Fisher information depends on the target dis...
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321f061358fc702b0bc17b045bd17eeb
The methodology we present is rather general. We find that classification trees and random forests work very well in conjunction with the 0–1 loss. They are less suitable for loss functions that directly depend on the posterior model probability such as the multinomial deviance loss. However, one may use any other clas...
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94e88f2ad0b83c304293f1cd2e9a1c12
(1) Datasets. Due to the relative shortage of professional sketch artists, achieving large numbers of images remains an open problem, impeding the development of FSS. Furthermore, more diversified sketch (or drawing) styles are needed for building more attractive models and achieving better synthesis results. To addres...
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afc48740e1cdd7fbf2becd7d48a9f099
A central quest in the field of opinion dynamics is to understand how opinion exchange among individuals in a social network can give rise to emergent social phenomena such as consensus formation, polarization, and fragmentation of opinions. Due to advances in information technology and accessibility to massive social ...
i
ea0e48a9e4dc203dd24d07cbf850b8dc
Bin Center Predictor (BCP): Previous works {{cite:4d93a246d8b0b1eec16277242ba8c480d3ff53e2}} have used a vision transformer (ViT) to predict bin centers that discretize the image depth into a fixed number of intervals. ViT divides the image feature map into {{formula:556dda8d-c195-4d40-940e-20e2e7e9bb70}} patches and ...
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d5e2c3b1d1b858d07dbce786811ed194
Limitations. For compute reasons we have only studied the effects of networks on the SAC algorithm — which is a state-of-the-art algorithm for continuous control underlying many popular algorithms – nonetheless, there are plenty of other algorithms. The idea of obtaining gradients through subnetworks is common and algo...
d
3c954497b9dd0df23817983561115e25
Since every FNE is NE (see Lemma REF (i)), we apply, for every {{formula:409006fb-b8b9-46e7-a4f2-b79ca1d42c7a}} {{cite:6f03e7606cb80d19e09346aa7c9d357fe5d33686}} to the family {{formula:6b381b8b-1ec5-4a2f-8b39-df5632db6c31}} and conclude that the string operator {{formula:94f137e0-6b08-41da-afce-c41842c1ccd1}} is NE...
m
7ae4aaac5cc551ee02b1566a5bdd9086
Note that it is impossible to decide NWT in time {{formula:442eedb9-ea84-425f-8837-6101dc37d45f}} , so when {{formula:a46bc525-5584-40ab-ac0a-27ddc561832b}} is polynomially bounded, our algorithm has only polylogarithmic overhead over decision. Note also that {{cite:22173d1e4c2925c2cf6c8ee2911fcec5e01102bc}} provides ...
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4d858324ad3d9b652cacabb12b376c85
The standard object detection frameworks {{cite:2c482ba339d6cb02e6bbbc107ab56b5cea5cf9a9}}, {{cite:410881a7c394643029ca1b5dc11971afa8b60d7a}}, {{cite:894d514cfa9c610ca8718ff416432f8434d2435b}}, {{cite:549c3a88c00466495fe8d9b618c491bbd185aa36}} can be characterised as a function ({{formula:b06c8d41-548f-40e7-84b3-0c5dae...
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bbd1f0e9cc93329b0ff46418640a1910
We list the BLEU scores of our proposed model in Table REF . Moses-1 {{cite:8f687545b4e934a72708c41d8a7e3b7eab4729d5}} is the state-of-the-art phrase-based SMT system with the default configuration and a 4-gram language model trained on the target portion of training data. Moses-2 is the same as Moses-1 except that the...
r
bfeb05cca8df5d1e4ed73962dce5b911
HA historical average {{cite:cdb2b32f88c839b3d563586c334f3de7ecac2a5e}}. HA models the data as a seasonal process and computes the predictions as a weighted average of the previous seasons. ARIMA integrated moving average model with Kalman filter which is widely used for time series forecasting. VAR {{cite:f43cd870...
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4f86bdf1975a01f8d322e616acf85414
It is also potentially useful to use information about the r-band to inform the fits of neighboring bands. Indeed {{cite:73655c494023d9f617a46091aa8217517958c539}} attempted this by requiring many parameters (i. e., Sérsic index, radius, ellipticity) of the fitting model to be identical across the g and r bands, essent...
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8670bdf4d73c8a9dc40e9438ca54e5be
Several results for control sets near local bifurcations are available. For transcritical and pitchfork bifurcations in the one-dimensional case and for Hopf bifurcations, cf. {{cite:f1ca894046553a0e72a30bc722f29df5aba0291e}}, also for applications to physically relevant systems and further references. Lamb, Rasmussen,...
i
b27df8920721c5738b6c001c7ee1bc2f
In contact mechanics, the first and the third terms on the right-hand side of (REF ) usually can be formulated as the integrals. Then the objective function in (REF ) can be viewed as a sum of expectations of several random variables, which can be solved by stochastic gradient descent methods or its variants (cf. {{cit...
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4861a7858a373c08368f795b3803231d
There are a few research directions which are worthy of further study. {{cite:1d963746329150ec90ee5a043a99d48e67cb8ef6}} and {{cite:83d87a66b81391eaccdfae58c835469f9a6f3fa1}} have studied posterior consistency under model misspecification. In the same spirit, theoretical properties of the proposed model under misspecif...
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607bcaad7e32c7a6e7c009f6eb434504
According to the definition of the preceding statement, our method belongs to a typical two-stage method. In the front-end, projection heatmaps of 3D BBCs are predicted by the tutorial described in DeepHMap {{cite:be5a108a513b8079242b646ebc45f68ef2e3f391}}. The core task of the paper is to design a comprehensive postpr...
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2b612dbc3b87051b5ae8dec7562d3196
Sensitivity analysis of misclassified confounding variables is one example of sensitivity analyses for observational epidemiologic studies. Several approaches exist to assess sensitivity of causal conclusions to unmeasured confounding {{cite:c2103b357effdc4029b51432830b51eea4660a9a}}, {{cite:9c416dc426d250c5099ad08f800...
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4fb7875740db11b35dc9e17b859a6b0c
Prototypical methods {{cite:bb6e73b332c95042416f9420ed9c3dd190f639de}}, {{cite:1ea4743188f41ddba9b8fd320c297765ef874fce}}, {{cite:9f442184a7217086eccdd17bfe04a40e9620a629}} learn a tuple of prototypes {{formula:35ec6539-0b3f-4926-9393-40a8761ca2fa}} , where {{formula:429d2bdb-6301-4ec7-b96c-0e00ad06e273}} , which are r...
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9d8665d156d80ea767a4742e25169907
Other Tasks. In this paper, we worked on the super-resolution with the bicubic LR images. Recently, some researchers studied the blind SR {{cite:b2b9be297a9141084ffa28ee1abbe73e8ca78be5}}, where the input LR images are from unknown degradation. In addition, other low-level vision tasks, such as deblurring, denoising, d...
d
9c917c9ac3ae42464a8a6c0881235fc6
Regret and Equilibration. First, we benchmark their performance against the optimal choice distribution in a cost model that internalizes agents' utilities from exploring the space (Lemma REF ), and show that in this context, the SQL dynamics enjoy a constant total regret bound in arbitrary games that depends logarithm...
i
b98338f6f00887991bf01809f848e04f
finally, we investigate the limit {{formula:431fd023-1c58-4472-85e3-929ff4b7be3d}} within the so-called constant-roll inflation {{cite:199f6f6693ca16d1607f6653533e055038ade4ed}}, {{cite:ce161cc1d641a5bc8c867fcc0cc28946c3a323f8}}, {{cite:bf79bd36e3eed0b29fa84910c5e4d001844e027f}}, {{cite:4610505ad538438e3527026b90d1d34...
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2772963c6f7a75342c7f362be66cac6b
Next, we showcase the universality and reconfigurability of the MPLC platform by programming Haar random unitary matrices, which are of high interest for applications such as boson sampling{{cite:1b21f12ff0b9ec128743a53200c3c1638106027f}}, {{cite:83062ebb80206d0e343818b7796c135c4b776d03}} and quantum cryptography{{cite...
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2d30cc1d3932ce4636505b1856cf23bd
It would be interesting to see whether the bosonization formalism {{cite:4c3a686c966e26b82489b36b203f2b5400faacb6}}, eventually combined with the approximations discussed in this paper, can also be employed to study twisted bilayer graphene near a magic angle {{cite:69ef1d96b3312a572c4a07e5c2619ff5f13fc9ce}}, {{cite:c8...
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4036b9a3666d34c98cab04ee306363da
Recently, in {{cite:4854c075c7334eb1ab243b1b4fb3a83e78fbaaf6}}, methods for estimating coherence witness and dimension witness have been proposed that would directly benefit from the approach presented herein. Generalizations of quantum fingerprinting {{cite:29558f94c50a02687f6e6998b382201ddda9b77a}} and photon disting...
d
7b715d472745a3c12d9db431ca78d608
We believe hybridizing ML techniques with optimization algorithms is a very effective approach to solve combinatorial optimization problems. This is evidenced by the recent advance in the ML community, e.g., leveraging ML techniques to improve Branch-and-Bound algorithms for solving Mixed Integer Linear Programs {{cite...
d
63a91645bb3a5ce2065da04e2508899f
We mention that Corlette {{cite:e9bb360f5866dd7811f501455ed5c8db252266d6}} studied the following heat flow {{formula:e8825a11-4b13-49ba-b994-44b1355fb96e}}
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d5f6d93e1eee03129d710f959162cd7b
In the Bullet cluster, the gravitational potential as traced by the weak-lensing shows peaks that are separated from the central region traced by the hot gas. In MOND, these two would be expected to coincideThe relativistic MOND theory {{cite:3c6a57af326b0439c3facc90ca0422fc7a2091e3}} proposed by Bekenstein could be us...
i
9889efc0756bfc7ca63c94be0cfc3ef5
In the last twenty years, a lot of theoretical and numerical progress appeared in lattice QCD. M. Luscher introduced the gradient flow to lattice gauge theory away from differential geometry, which is a fictitious euclidean time evolution based on a gradient of a field theoretic action intended to build a trivializing ...
i
635dcdaf31b7bf976ba9fa413ed658ba
Online update plays a very vital role to maintain tracking performance, especially for offline deep trackers {{cite:86bdb10d606f5d7d5a95eabfecbed62b19b2fa26}}, {{cite:419213682fb8368259d355b13b91ca4fd4b9cf06}}, {{cite:2b6d34135b3b92ac99ab37681a54fb747dc6e2ee}}. As a result, a great number of approaches are presented to...
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61bc7f0a22f7da79f61c8c0f505d8465
It follows from {{formula:3845da39-5579-4b72-9c0e-786ebe82962d}} that a well known theorem of classical mechanics {{cite:afe3d9b4d815c0b8eb5def81900ad089c82f72f1}}, {{cite:b1467a076ede01a6bcdfb63b21ef10fe13bb692b}}, {{cite:c0e1ffcb1891131c885be3f7b2152b46853bbca6}} is generalized to arbitrary dimension: tK = =1N q f...
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52a9f9ec00f3e640be683e8db221c624
Precise boundary conditions that fulfill these requirements were given in four spacetime dimensions in the papers {{cite:636253d966cb0f0e0687571f5d90c906015c270d}}, {{cite:cf8a7de42f5119d3421d149e9dddc173e0eb1161}}, {{cite:bbf5b380b2c31993ccd74d1f3f28fb2ed41a2d86}}. The boundary conditions of {{cite:636253d966cb0f0e068...
r
f03d8d7ba9fc89e3192b398b04e277b5
Fix {{formula:d351735f-1e1a-454d-b6a9-2bd1855fa9db}} , and let {{formula:b1828abc-28dc-4664-a79e-b66703107c08}} . It is well known that {{formula:9e33b3f1-0549-46dd-b752-21c9a3e32e9d}} is the circle {{formula:244dd698-78ad-47dc-8833-db7c56cd3651}} ; see for example {{cite:5b1aa1411c991c45ed9656024a5266bf1c9deeb4}}. By...
r
792e7c0cd4bc5e94372ee22d304350f1
Finally, we execute gradual pruning with the sparsity schedule, augmentation choices, and cyclic linear learning-rate scheduler discussed above. The whole gradual pruning procedure lasts for 300 epochs, as in {{cite:d52505e31f4598aef014c6d902970d8a5fec1ae6}}. We aim to obtain accurate sparse checkpoints for {{formula:1...
r
8a29c36ac135113f598f91b8ac879faf
where {{formula:c568687a-aca1-496d-b378-abf69fbbf64a}} might be non-differentiable. It is well known that the optimal value and an optimal solution of problem (REF ) can be approximated as closely as desired by using subgradient methods. In some cases we can use interior point or Newton methods to solve problem (REF )...
i
ae08402994b24bc845dee82067bfd129
The above fields will be the main objects of interest throughout the paper. Their {{formula:da09ba12-a56d-4d3d-bcc1-6a61434e0293}} -adic (resp. {{formula:8dbd5388-5b46-4785-ad4d-18bd014a3fcf}} -adic) completions are typical examples of perfectoid fields in the sense of Scholze {{cite:4f16b711bac96c7972feb8e53227a58a115...
i
910e77964b0b4b8caca2d542b933c500
where {{formula:933331f5-26f7-4494-9a82-8b3eca75ea61}} will be a weighting coefficient of the Dyson series. Constructing such {{formula:e7c63560-fe47-4ce8-abc5-8fdcdc97ae3c}} operators is explained in the appendix B {{cite:2fd60f257d212f3caa50237a2decd689e565db14}}.
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89944ec41712f083798b7a9f343e40ad
Due to its intriguing nature, NGC 6946 has been mapped at multiple wavelengths. For example, in the 21 cm atomic hydrogen emission line {{cite:cde684b57b6a204b9b67d260379b23d2ebd31463}}, {{cite:473e47ea1f80a819a6890ff7e803dbbdba4a0cf8}}, {{cite:48fde37c7930be381d9600bf1299ae6a663cadcc}}, {{cite:327537ff3094e635f228add9...
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6a08e6aae6e44655d42934d1cfdda625
A possibility that was not accounted for in this study is letting the nodes use different stepsizes to update each {{formula:8ae26785-6cd6-4832-a16c-9d54c5ec39d4}} {{cite:a9d7403ab381455245168d7f2fd31ad46eb91b67}}. Indeed, function {{formula:69f35d72-c529-4cc9-bd7f-7c7b16beba7e}} is coordinate-wise smooth with consta...
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fb003c708700e42a90cba2cfe8b545d0
Neural ordinary differential equations (NODEs) have recently shown tremendous promise as a means to learn unknown continuous-time dynamical systems from trajectory data {{cite:997bf2746778e8f39cf712c4d22ba5da996dad61}}. By parametrizing differential equations as neural networks, as opposed to directly fitting the avail...
i
1b5e3743a24aecfb500fdcc56d06e2a4
The general position number of a graph was introduced in {{cite:e5780be6738d71b30846ca68169cd8654530b80f}}. A couple of years earlier, however, the invariant was in different terminology considered in {{cite:5ff25a2519c306d8a27bfcf31b05b3263741556d}}. Moreover, in the special case of hypercubes it was much earlier stud...
i
596ef0d20716ce5be9b0ec99258bc9ad
We compare our model's performance with published image captioning models. The compared models include the top performing single-stage attention model, Att2all {{cite:181cc2f507fb0ac405308a634995957ea399906b}}; two-stages attention based models, n-babytalk {{cite:6f32d2f578a1b7850d9e4b283b65ea86c50ededa}} and up-down {...
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6e9bfe6a46044f5d4622080a7b19cf0b
In this paper, we explore the sequential order within the dialogue as the self-supervised signal to guide meaningful and coherent dialogue learning. We introduce a self-supervised learning task, inconsistent order detection, to explicitly capture the order signal of the dialogue. The task is defined as, given a target ...
i
bbdef66d5ed483b8a1d6ca591ed2a038
Read Mappers. We evaluate five read mapping systems, each of which adopts different optimization techniques to accelerate read mapping: 1) Base uses Minimap2 {{cite:bc6f87d020c653c85947c911657c2f1461b78f2b}}, a state-of-the-art software tool for read mapping. 2) SW-filter extends Minimap2 to filter out exactly-matching...
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7da8fad4f47da7b9b127ae47a352548c
In the gaslike state, the quantity {{formula:b2c72a48-8164-4d0b-a2e6-75657f718a32}} increases towards the ideal limit of {{formula:8ddfd600-a8e8-49a1-a1c4-24e0a1157a2b}} in Fig. REF a. In the gaslike state, {{formula:0171942a-e7da-4e63-83d5-6791d206f5dd}} is related to the particle mean free path since the speed of ...
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065f0fe37d532c077443ea51a35d4812
Replace {{formula:c25a11f7-3f9b-4e93-b7df-11ba47edabdf}} of (REF ) with {{formula:48d2ec24-f79e-42a1-a937-5583214f5863}} , we achieve the update rule of {{formula:3929363c-6791-48c2-b2ed-0e07e2951b4a}} {{cite:76ba4768256fceadd7828a93fc0ddcedab57d008}}: {{formula:3599398f-3473-4a75-b21f-c98dee5fd714}}
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b8669eb9732b471a6fa699c250e40664
If the aspiration of loop neurons is to constitute systems of exceptional scale and complexity, might the simplicity of the dendritic building block limit the dynamical repertoire? We hope this model helps answer this question. It is known that even simple systems with simple rules for propagation, such as cellular aut...
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2a7b326211c35fb7b67ee8392c05258e
It is worth mentioning that the Hubble constant tension has been interpreted as an early/late universe tension, while it shall maybe be seen as a thin/large beam tension {{cite:a3702b23164b38cdaec818f8762f049531b33c56}}, {{cite:f6c4f540920c41cd9e69d2cd1f502c80bc65f13d}}, {{cite:58bce5f9c1ba7931773a1a06edd4c033a6db54a2}...
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b8668163bc6384562cf88fb494e6d242
In (REF ), we have an under-determined set of equations with {{formula:dfa8ead4-e157-4edb-af85-45e936201504}} observations and {{formula:8bd18b45-848b-4adb-b842-e9c97f33952b}} unknowns. While this problem has infinite number of solutions, it could be transformed to a tractable problem by assuming that {{formula:49d61...
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7751650439c73ae21690578cad676f1c
We propose that the increase in coronal height inferred from our reverberation analysis coincides with the launch of the blob that {{formula:f02ef691-7fb9-4d8e-9f53-b79bbbe18144}}  days later causes a radio flare when it reaches a large enough scale to become radio bright (Fig. REF  b, c). We note that due to the low-c...
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d96bbc3df73033816f1c3900aed2217b
in the sense that {{formula:dad1c250-8629-43cb-bb25-1b644fad17e7}} can be computed by applying {{formula:b4df6bcd-2ed1-4139-9481-dfa9c5473b93}} on certain iterates of {{formula:0e11bf0e-4358-4288-964e-f25dd1e52a06}} map. Here, {{formula:09d94d8e-ca16-49dd-8bb9-34939707426c}} indicates the classes of {{formula:bfb50...
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089c8f7fc4b769710af061cc7cbf76af
The results in Section REF suggest that the unlabeled PowderFaces dataset only provides a marginal benefit in performance, if any at all. This ran contrary to our expectations: we expected unlabeled data to help in this context, given a similar approach achieved state-of-the-art results on Imagenet ({{cite:578ebcde923...
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94409cd42fe3acaa3248fbd2fe85cb74
D-time: the running time (sec.) to execute the dynamic programming algorithm in Stage 5 to compute a lower bound on the number of all polymers {{formula:85d90103-16e3-404b-ba0e-fc5077657fe2}} of {{formula:e6267bd5-ec7d-40ae-bf6c-64cf1a6b94c2}} and generate all (or up to 100) chemical isomers {{formula:827fc17d-5da9-...
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4eda9490648e73002fd3bbf43545debe
Method overview. Motivated by DETR {{cite:e72c2ceb74efcb34d87b44ff7cc762ea61de02e7}}, we approach the problem of TAD by an encoder-decoder framework based on the transformer network. As Fig. REF shows, the overall architecture of ReAct contains three parts: a video feature extractor, an action encoder, and an action d...
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In sharp contrast with DJSCC methods {{cite:3da1999921f77eb034be25e11386e28ea8486929}}, {{cite:89c22b2259e7866f613287b957b795c6a2eaa26b}}, {{cite:d03806f8438d82118e20b8bd4048bfc1b6337950}}, {{cite:e84d47207d8eb892f55063a964a575873ed2ee31}}, we require our DJESCC method to address two issues:
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In fact: the bidirectional, double-branch network structure and feature pyramid {{cite:96f738a98d7b88ac661be795872e27d9a3871658}} has appeared in several previous significant works {{cite:4f74253deac7be2fdacbf430bed7dad5d5cb5b83}}, {{cite:80b72e2bfb79435972e7243fa07b853e3be0075f}}, and has been proved that can implemen...
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Theorem REF shows that the eigencomponents of the error decay faster for {{formula:c3f4d1ef-839a-47b3-b1f2-1ed0c09bd2bb}} corresponding to large {{formula:2785fd06-0ae3-44ee-8531-95154bbf2651}} . Moreover, the difference in the convergence rate of different eigencomponents depends upon the ratio {{formula:86f47479-c6...
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Although SPH has been successfully applied to some complex problems in solid mechanics, fracture is still a challenging and open research area within the SPH community, and has not been extensively studied. This is because SPH is a continuum-based method and cannot, by its own, model fracture and distinct crack surface...
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The Quadratic Unconstrained Binary Optimisation problem (QUBO) has become a unifying formulation for a wide range of combinatorial optimisation problems {{cite:1cf92201b53d86375a94a05f4a5f2e191bf760d9}}, {{cite:ea64751776c08c29d50e58fa435c1123fb773db8}}. Its objective form is closely related to the Hamiltonian of the I...
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On the other hand, deep learning based reconstruction algorithms recently have led to state-of-the-art results in solving such ill-posed problems in computational imaging {{cite:ff7b024c13daefb0f4286140c2cd45c3a3a4d909}}, {{cite:26958590307fba32bb298b96257d83f41d872959}} {{cite:35edcf08aafa888ca201d5380fd46222bb55a016}...
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613c72fdfa14666e9868dc4b7f47d87d
In this study, based on the dimensionality reduction results, we found there are obvious regional chemical characteristics, as shown in Figure REF . The stars in zone B are mainly MRSH, the stellar metallicity in this region lies between -1 dex and -0.6 dex. But it still has lower {{formula:1b0bd4ba-3028-47e2-b718-b802...
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3c5b85f7051c238cef930815e8ac3b6b
Importantly, our analysis differentiates between two properties that might hinder network performance: high-norm readouts and non-normality. In a number of classic studies {{cite:251b317ccbafdc7124f8bcfa4c3be819e2a99a62}}, {{cite:7f6ee32db1d6946ae91a4a9734a4c3c8c52d49f1}}, {{cite:ab3b8a5eab4ff5836a3926552ba76db2500dd14...
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dbd01bdbe6172e84da7ff93df7e05f6b
Blockchain technologies originated in Bitcoin by Nakamoto {{cite:11fc8292b67b20894a4d5ff693233b60c80a3c43}} in 2008. Since then, Blockchain has attracted tremendous attention from both research communities and industrial applications. Furthermore, many real applications of blockchain benefit from a number of salient an...
i
a48581f96a5d65f811a8b955048a7188
It is reasonable to hope that the four-dimensional maximally-supersymmetric Yang-Mills theory may be exactly solved. In the large {{formula:6f032c7a-737e-412d-b02e-1bdc7168edc7}} `t Hooft limit, the theory becomes famously integrable, and Yangian symmetries emerge, which has led to the exact determination of various p...
i
06b4239a551f4080cdc8798d3ea7eb24
These data sets employed a triggering system based on signals from several STAR detectors to select ultra-peripheral collisions that may contain {{formula:6c786525-805e-4cde-b22c-9e8e27388acf}} pairs decayed from the photo-nuclear production of a {{formula:f735ffd4-757a-425b-b3f0-c5bcccfaefe2}} vector meson or from d...
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DL pipelines are effective {{cite:02f5b2fcbc369c7f54e609cb5eb3fe9e596c7cb6}}, {{cite:2184883349e9135f498f07695da53127e20095fa}}, {{cite:5a519736a3f2edeb669873c9b0c957f699891ab7}} at decoding facial emotions, but it is unclear what neural information is more important in this process. To address this, we compared XAI me...
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5eb195264d962170d57efe174c22cc37
After the seminal work on ta {{cite:e8e77763256622761e7f1a8b55e902a800523863}}, many extensions have been proposed aiming at generalising ta in different directions. One such direction is the introduction of additional discrete data structures, usually resulting in increased expressive power. A prominent example is the...
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Recently, gauge field theory which contains several Higgs field became of interest to solve the questions of the neutrino mass, the matter-antimatter in the universe and the nature of the dark matter{{cite:c75aa03e90ee5ebb486514504afed0c722186786}}. In obtaining the physical results from these models, the pole mass pla...
i
efe0b6b2b0c3922dd5c22162f333839e
Yet another way to build off of our formulation is to generalize our analysis to multidimensional trajectories. Multidimensional data sets are common such as when combining single molecule measurements from force spectroscopy and Förster resonance energy transfer {{cite:4c3e1bc1a8b297559060e57eafdc57d627418935}}, {{cit...
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059c3d6e19c49252c6016ec258afeb6e
Kernel methods, such as the Wasserstein Kernel or the Sliced Wasserstein Kernel {{cite:60fce4ddb2412b8a42a36437c4b6d72829ea5e30}}, {{cite:0ecc05958fd1606a91b1dedc6cf01693e10785fe}}, while theoretically robust, use computationally expensive metrics to compute the distance between PDs. Additionally, kernel methods for PD...
i
0cdf14cc819fcadc150bb81ad0d4a2a1
[noitemsep,nolistsep] 1NN, SVM, and PCA Transfer Component Analysis (TCA) {{cite:92bef8a9370b5c51c2a038bcb26231261cb869ba}}, which performs marginal distribution alignment Geodesic Flow Kernel (GFK) {{cite:503d37ec5fb6e793b39d1c49a08eca31c5b08fbf}}, which performs manifold feature learning Joint distribution alignme...
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a3229bf7282afa9cd1d6f98febd25b49
The dual objective can be given by {{cite:32959805305ac7435354c57ed82a66c0244f5c26}}: {{formula:d86b1dd7-e1a0-4000-b454-72648ed6cf6c}}
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707083097d0af57fa65acfb8e755134e
The ISOC acts as strong effective Zeeman fields, which polarize electron spins oppositely to the out-of-plane direction at opposite valleys, that is, at the {{formula:0cff52c8-55bc-43f4-9c68-ba9db2002ebc}} and {{formula:f329efc3-3a30-4ab6-8cd4-8c5f87e2ea9a}} points in Fig. REF (b). If we choose the out-of-plane direc...
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48ba2167f58b21f57829e0cf8b202e0a
Among the possible extensions of SM, a curious choice are the 3-3-1 models which encompass a class of models based on the gauge group {{formula:1774b85d-1341-4ded-94a9-3d6f794ca484}}   {{cite:f36d2cc7a00744820608ab075f879a5ab5b0b961}}, {{cite:d6c68bf8ec8d3b54f976788dcf77a77ec1860432}}, {{cite:bdd94f27ec6454c4ee77271a06...
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1132792b4b88acf37fc40408f7e11896
Additionally, we have investigated an important limitation of our method: accurate predictions require similar mesh connectivity, i.e. our method is sensitive to remeshing of the input surface. We hypothesise that this limitation can be alleviated by data augmentation. We find that PointNet++ is more robust to remeshin...
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7581f61244abd6eb10ca15c9afb8d589
Test suites. Our experiments were conducted on networks obtained from real-world data as well as on a set of synthetically generated networks using the LFR model {{cite:49af3b25d2eed6ea1eef5d872f94003e99e69600}}. The set of real-world networks is obtained from the instances available at the 10th DIMACS challenge websit...
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b6e2b3077f0824a49024b955fedae638
Initially, when an image is fed into a capsule network, the image is convolved with a set of filters to produce a feature map, i.e., to produce a tensor representation of the image that is better suited for classification {{cite:f0af46a7806841c2c5717ef947af0118b5302332}}. The size of the feature map is determined by th...
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a412cee342267adeb8fbff103bbc7fa6
as typical for a process which can occur, for {{formula:e36cf8c6-7677-4ecb-a5ef-29870d9433d0}} , only via quantum tunnelling. This so-called Schwinger effect and its analogues have been suggested to play a role in many problems of phenomenological and cosmological interest, ranging from black hole quantum evaporation {...
i
5f8db648e795685fbb3b376d4b5b5e67
A second issue in which we consider our XMM-OM survey to have an advantage over the GALEX study of {{cite:6e631beb328acfb7846c13fa98b38194280f160d}} is in the shape of the UVW1 bandpass compared to GALEX NUV for measuring rest-frame 1500 Å photometry at {{formula:ef6d6011-d287-49e8-b2e8-39124d8bc0b1}} . In the construc...
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179108b7a961d3c3587983ceb611a2ff
Neural networks have shown an unprecedented success in the hands of practitioners in several fields. Examples of successful applications include classification {{cite:137043dc41b21f9decc7158028aaa5f14026d695}}, {{cite:24ffe66954da954be9ef94d14b644975d23d203b}} and generative modeling {{cite:e1417545a613bf0cac3c7866f62e...
i
a5ceba14de32a2ce8c5ca163030eb31f
In most model-based and learning-based control designs, the contact sequence is fixed or predefined {{cite:6d8daed3fc72bcdc8847935fca2ec33cfcb259a8}}, {{cite:df346b5086b0886d48f44858142785935bfed3a3}}, {{cite:bf358658803473f8b191889de7ecdc920a87a531}}, {{cite:b3debbdaa7f031ff1fb1df3d425baff50ab764ab}}, {{cite:02127c1a7...
i
e9773a93e41bd8be18f05ba80364c1cc
To change the unconditional GAN into a conditional one, we introduce class specific parameters that result in a class-specific modulation of the forward pass through the generator. This allows it to generate similar distributions to each target class. To prevent learning of separate modulation parameters for all of the...
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1b2dfdd7c30a8502c770fbc504328c4b
This work/research was supported by KUIS AI Center Research Award. C. Pehlevan acknowledges support from the Intel Corporation. Checklist For all authors... Do the main claims made in the abstract and introduction accurately reflect the paper's contributions and scope? We noticeably express the contributions and sc...
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8da6de058142baf7bef0382dffaf744b
We show that this bound is tight. We further prove that for any number {{formula:990524cd-6183-4e0d-9fc1-7ea52fa5137c}} of ex post constraints, a stronger tight bound of {{formula:e63e5c4d-8573-490c-8909-4ffd2f0caa23}} holds, just as in the unconstrained setting of {{cite:d733cba82b23fcd81467fa0e884b9bced3d8bbee}}; t...
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824f4e79bc0b61d8884bb31a4ab2a6b6
In this work, we have assumed that the stoichiometric matrix {{formula:76a78d47-b500-4403-a0cf-a931425f1599}} is regular. This implies that the system can always relax to a chemical equilibrium state when the volume is fixed, i.e., in the isochoric situation {{cite:4001823179a7b048a1972459e285db7638c5761a}}. In other ...
d
c18a3274220a52ee254378871e67e62b
We now turn to results about automatic sequences. This is a large and interesting class of sequences where the {{formula:4db8d052-56be-4180-bf74-e023e63c2938}} th term is computed by a finite automaton taking as input the representation of {{formula:aac6f2e8-dd40-4dcf-9f86-96e4a7a80665}} in some base (or generalizatio...
r
e2ef1705ce9ac6cbbe2d80ca4f6c2912
The current work reports for the first time the NuSTAR detection of a low-frequency QPO at {{formula:2d665e41-8577-4099-8d49-fcf0736fd751}} Hz in the LMXB GRS 1716–249. Earlier studies from the 1993 outbursts of GRS 1716–249 detected a QPOs at {{formula:a5ffe438-b64e-48ab-bb26-2b9d73d314da}} 0.04 Hz which slowly drift...
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All the code in these experiments was written in the Julia language {{cite:36a5b7fe2acbbaf44a1458a3b556c04c667d53ac}}, as part of the open source jInv framework {{cite:70d70fb8e257dc9dcaa0808908f7d78c012b69a5}}. Some critical parts of the code, like the LU solver (forward + backward substitution) and matrix-vector prod...
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