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Retrospective simulation {{cite:dc7ce3ec80fc5a2f19f14284b7f8664f770bcbab}} is an attempt to take advantage of the redundancy inherent in modern simulation algorithms (particularly MCMC, rejection sampling) by subverting the traditional order of algorithm steps. It is connected to demarginalisation and pseudo-marginal {...
m
a0301468d28ebb672d39254bdfce79a9
Despite the loss of asymptotic flatness for a magnetized spacetime containing a black hole, this solution has been considered to have some astrophysical uses especially in modeling the spacetime near rotating supermassive black hole surrounded by hot moving plasma {{cite:7047d371c50cc1dc347ee88d3ee04f19b8563df8}}. Inde...
i
eae8b866f4f519c1377d8872a0ede18e
In the SME EFT formalism {{cite:0cb2b40ccca94df10434fc60552e8cf3fcd05ee1}}, {{cite:c8df0547d54a6689a46dc915a8994433454fd273}}, {{cite:ae9f4f1891eee3d1f3814317dce6909887d62f86}}, if the apparent cutoff above {{formula:88dc9454-8df1-492d-8347-9b1e22ae2a4b}} PeV in the neutrino spectrum shown in Figure REF is caused by ...
r
bd148abc8d67b6bb58a92d006c0e8208
On the other hand, for a few known classes of games, {{formula:1712e650-7de7-4d94-a06d-239527c87280}} is computable, and sometimes computing {{formula:69494ed8-5796-485f-96e6-231d5a775457}} is even easier than computing {{formula:e3670a6d-372c-409f-a1d6-72fd57462c15}} . Cleve et al. in {{cite:d63ecefc2e452f494cd49c33...
i
d7fb702d3e62db0d0f91421eddf8c16b
Along with the proof, we have extended standard initialization schemes to non-zero biases and formally shown that our proposal defines well trainable neural networks, while they support the existence of strong lottery tickets. These initialization schemes include the 'looks-linear' approach {{cite:33998fd05626cb23267eb...
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3fe3eda0acea5d696c5d6b1110123d49
The above formulation has been shown to be effective in traditional offline hashing methods {{cite:acb4a83705605ca81a4ccce4a42b66789425ed75}}, {{cite:337d8f213576d79addb1e3a11f528c81ad079469}}, {{cite:e01d0bee83539aaf16ae9e1115e81d4cb51ec035}}, {{cite:c7639ff15a45a451c8ab0637744cb573611a7ee6}}. However, directly applyi...
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1f7dad5c527c0688926f025be2f75e2f
The memristive reservoir of the network type is an attractive option for hardware implementation, because the number of possible network structures, capable of producing different dynamic responses to input signals, can be drastically increased by scaling up the network size. This high scalability is the major advantag...
d
b700f7cbea901f87300561a7c1b286d2
Hyper-parameter optimization (HO) is the process of finding a best set of hyper-parameter values that cannot be learned using the training data alone {{cite:62cd3d349117805c40614360e33824b64466088a}}. An HO problem can be formulated as a bilevel optimization problem; the outer objective {{formula:e4cd39a7-baae-48b1-901...
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cf68395f2cc4706fbcd62635a79e9f5d
In this paper, we separately described the travel mode, destination, and route choice behaviors of travelers using the free utility model. The free utility model has two basic assumptions: the traveler pursues maximum utility and needs to pay information-processing cost to master more knowledge about the utility of alt...
d
d80038e5f032eb75b0bf3e5049a064b5
While in this specific implementation we used random sampling and nonlinear least square optimization, our framework is flexible enough to support alternate sampling and optimization strategies with the underlying factor graph acting as the core data structure tying them together. As such it should be possible to use g...
d
fe3a16123564190824f87660533d7466
As a remark, in this paper we write down fields in MUR of the Lorentz group. This approach turns out to be more natural, compared to the approach that employs Lorentz indices, towards the goal of classifying all possible vertices {{cite:1b2bad1260a3402cd3f57909ccef65a7f9f18254}}, {{cite:c3977b024b273365d98883fc429e44a0...
d
1af1fbeb46c427214c55555e4483a2cc
[leftmargin=*] GRU4Rec {{cite:eb9221914d45d2476af355d4022861082a0c1bba}} is a GRU-based session-based recommendation model which also utilizes a session-parallel mini-batch training process and adopts ranking-based loss functions to model user sequences. NARM {{cite:d5c0eab63de9958404e16ff30d6582a9e799af70}} is an RNN...
m
1bea8f47e628777c4da7132da247d31a
Intuitively, the idea of using the concept-feature dictionary to the ViT training could be similar to the memory bank mechanism in MoCo {{cite:3d2e6a8659d7a0fd33733567efa18e20ee3f4709}}, where the features are stored in a queue for replaying later. However, the difference is also clear: we have multiple queues that are...
d
de6ae8ed4fdd436f41cda024c5133c80
To illustrate the benefits of leveraging multi-step information, we compare {{formula:38bb7941-8b12-4584-b431-6b663ae18c85}} to the one-step estimator {{formula:14809fc5-e0a5-4999-8eb0-9447edad2b06}} and also with entropy production rate estimates from the thermodynamic uncertainty relation (TUR) {{cite:2630c1ed678de...
r
2b930a698856f29e085f02c7bd54c61f
In order to observe phase separation between the two components it is necessary to include fluid-fluid interactions {{cite:3e0f6760ab1c5e048cd78a0d16388cde2db504d8}}. We employ the model proposed by Shan and Chen (SC) {{cite:63ef8ceb060c03e00800cf3e9c13263858b36cb3}}, {{cite:d0f942f9cbe3ff8645bd72babe34498872e05001}}, ...
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23865722445de0864091a5fefdb9b956
Table REF summarizes quantitative results on PASCAL-5{{formula:dfc61c12-c1ad-47da-a515-fb8adc9b32d5}}  {{cite:cda1c6342ace693c6f0fd5c31d649f901d26ccac}}. The tests were conducted on two backbone networks, ResNet50 and ResNet101 {{cite:c9f019a819f14b07227539af0c3d5d1ade57b7df}}. The proposed method outperforms the othe...
r
3c2764191dff0710e6443d50d7052f93
A critical task to evaluate the quality of embeddings is link prediction {{cite:3ea4dd4d0188672b9657ff62a2c1f258c4eb9b98}}, {{cite:545d220656ef0ed8d7d50a8591d558b5d2877d5d}}, {{cite:4b6cacb55b7209d9324fc588ee9c615f6b6ce1e0}}, {{cite:41b7fbbd39741d122b6f17c782180e2eb3677388}}, which tests the capability of embeddings to...
i
c00046c67c78fce43f2df44d8037aef4
We expect this nontrivial coupling of soft and hard sectors to generalize to nonabelian gauge theories and to general relativity, and to the quantum as well as classical regimesAs discussed in Sec. REF , the statement that the quantum theory does not admit a decomposition into two decoupled sectors is not in conflict w...
d
6f5f005208e9993c2f9e2b61eb6cecf7
The main result of the present work is a refinement of Theorem REF into a LDP both for a Nash equilibrium and the state processes at equilibrium. It is well-known by the celebrated Varadhan-Bryc equivalence, given in {{cite:0e6e8120221290889d2a101fe36ca0581611f578}}, {{cite:d6eac622b64fbb997b5ce883f6845603d9f046d5}} (...
r
8f2e071545a8e2d49260e323099e817a
To train the RL agent, we employ a deep Q-learning approach with a replay buffer {{cite:c74ecbf02def13a5c41a620250463fa5e4f34019}}, {{cite:8f482aaa2be03be3838116bf7f05723bf2477d7c}}, {{cite:85f383ce3fdda825dcb9789d39c0d5bf6d118b39}}. The deep Q-network is fully connected and contains 4 hidden layers, each with 64 nodes...
m
925ab556eced4bdcc62a95de1a820ca1
Thus, regardless of the sign of {{formula:9f3e73b0-e18a-4de6-9a68-9a70ad192c8a}} , the band gap opens at the {{formula:6e69f243-a097-4e3a-9050-61d4b21ab044}} point and this gap becomes topological. This is related with the fact that the irreducible representations (irreps) at the {{formula:0b130a4a-3092-44e5-a898-2e57...
d
46b1d1bb57b9422a45ad3356e237f5da
In Table REF , we show the reproduced results of the original QDE method following the exact experimental setting as implemented in {{cite:7028ee0e7c61fb02c7118b5586aac7697c87f3d0}} pearce:2018. These results are included to offer a comparison between the 1-layer and 2-layer models (Table REF and Table REF , respectiv...
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a424ef8fed0f7fe79abf4e6576796e8b
Efficiency. From Table REF , we observe a significant improvement in inference efficiency between our TCSA-SNN and vanilla models. On Gesture, three-layer TCSA-SNN (following {{cite:1a61a6712cc7deaefd6465a2b8837490c9c525f3}}) and five-layer TCSA-SNN (following {{cite:2e532b9ac6e987aebe9a626e635c3f7c63b760d1}}) increase...
r
451aa233d8ac38a658986eaddbd12521
Information novelty might help explain why politically-opposite feeds increase engagement. The fact that respondents indicate politically-opposite feeds as different from what they are used to seeing in their own feeds implies these opposing feeds contained novel content. Prior studies have demonstrated increased user ...
d
8ff8815e99344bba6710d4e9a37c4cc5
Meaningful Perturbation (MP) {{cite:8c89231cf4a24cd2e480a1448ace646300d56b01}} finds the smallest real-valued, Gaussian-blurred mask such that when applied to the input image it minimizes the target confidence score. MP is sensitive to changes in hyperparameter values {{cite:eb208579d820ae88903ca5e3d5e8eb5c87985c14}}. ...
m
6fc05635db582296f757a4d3ec3f3012
The {{formula:7220bf3d-0b7a-4d76-aa2f-24590dd694e4}} is used as an input to a highway network in order to reduce the interferences from the rest sources. The encoder, the decoder, and the highway network are optimized using {{formula:d86e1890-a685-4f5d-b8a0-b455a8616357}} between the true magnitude spectrogram of the...
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a567c6e9946dbc8050775e775114682f
Diffusion is a common phenomenon in nature and associated with a variety of processes, resulting in inaccuracy and misleading of the underlying physical phenomena {{cite:00a32aafbc2552522c63aa09806c86db829a2b68}}, {{cite:8daeb7f7c895dee57011a1322560d16727bbd7dd}}. In this work, the term “diffusion" will be referred to ...
i
ec958584fe59a68cbebe33a04e7e394d
where {{formula:f41d43bd-bedc-4347-8bd5-dc983b6831cd}} for Max-cut and {{formula:d59ac25f-31e8-4ec6-921e-edf93ebc94ad}} is randomly chosen to be {{formula:80adabc5-463c-4377-81e7-a34c4ff96c95}} for S-K model. For graph coloring problem, we first model it with quadratic unconstrained binary optimization (QUBO) form a...
r
1d3f034f3506412592a0a724ec092150
Embeddings from all layers. An alternative approach, inspired by {{cite:2be745d0a6918b0952b9ae893d81a06c56ee02c4}}, is to use pooled embeddings from each layer (not only the last) of the Transformer. We explored two pooling strategies: averaging over the timescale (common for speech Transformers) and taking only the fi...
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10aff5b49bd54643d200772d8a7d0b76
Complementary information to the above analysis comes from the knowledge of the electromagnetic form factors, assuming that one of the massive constituents of the bound state is charged. Their asymptotic behavior qualitatively probes the compositeness of the states: a rapid decrease would be the signature of a many-bod...
i
4c69d46b2d91b8990a7e3cc6d64aba95
The network of gravitational wave (GW) detectors composed by the two LIGO {{cite:e6a267030d1f8e607254ecd5ea21fa704f7a0108}} and Virgo {{cite:4715525a70922b88fd334ec1936bf5054235f7ba}} observatories has already completed three successful observation runs {{cite:5beda308cbd3407ea67aa34a11c4e390936bcb2b}}, with the detect...
i
195dc297fd59d2d4efe4cc8cfe6290f1
Throughout this analysis, we have focused purely on linear methods. In recent years, nonlinear methods for dimensionality reduction, such as autoencoders and diffusion maps, have gained popularity {{cite:ee4e697cb444791abe553f034699fbc4029da962}}, {{cite:132446e66b9ee02f916af965d18e81b3a149bf58}}, {{cite:a0314dc52c187a...
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e32947ef344ae03dafbb015c0a756172
On the positive side, we show that, when {{formula:bdef11ef-ce7d-4163-ba0d-65c60dec858d}} , the optimization function is submodular and thus can be greedily approximated within a factor {{formula:a57848c3-03a1-4e78-bb65-2d8d0029cb6f}} . Preliminaries Structured populations. Following the literature standard, we represe...
i
2fac653b720e38f94be501860611a156
After the trial runs, the results show that the overall mAP for all of the models and settings is between 68% and 81%. Table REF shows the complete results of the experimentation process. The overall best classification was the ResNet 50 architecture for all of the settings of the superpixel masks. The three variation...
r
3f911bce4f9aff73e734cb2fc5772d75
The architecture of our model that maps the fingerprint to its location consists of a CNN inspired by AlexNet {{cite:4ed3e16c2c93e15274c30234411aa72a6671fde1}} and ConFi {{cite:a9511dff4b03362b9ea8a2cc7aeccb2a9e641dc8}} (see Fig. REF and Tab. REF ). The fingerprint – a CSI-image – is fed to the model which performs a ...
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5c60130fefc45daca25a317dd503c0f8
In the context of gradient flows for diffusive systems, recent progress has been made in developing energy-stable methods through a variable transformation representing the energy, generally a nonlinear function of the state, as a quadratic form—such methods are referred to as invariant energy quadratisation (IEQ) appr...
i
8978131cf0a939eac5f0f76ff9dbce4f
Similarly, we train and evaluate a CNN based network TIRG {{cite:71f82e9b8979d9b959e495c7f3f0c3aa38de0873}} on GCD. It consists of resnet and LSTM backbone for feature extraction and {{formula:c5eb2827-5329-4fde-a411-1f31156dabce}} layer for feature aggregation. Herer {{formula:618e1aeb-f107-4765-b5a1-e75ab530fa01}} ...
r
b76b8cd30717f2adc41ac12dfdd524de
In this section, we present two technical lemmas which capture the essence of the proof technique in {{cite:6c56b3cbfcc525a05930529d41f49ec667b78f21}}. These lemmas are used in the proofs of Theorems REF and REF . Though the present author discovered these two lemmas independently, it appears that Lemma REF is to be ...
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f7e4bcb09c06d96a0c4eac90ce291b71
While DL models are able to make predictions with high accuracy, their deterministic nature prevents them from providing uncertainty estimates for their predictions. Wildfire occurrence, however, presents a high degree of stochasticity, therefore uncertainty assessment is critical in decision making. Hence, Bayesian ML...
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7b54f75307e9868edf0cb03435d55c79
Next, Fig. REF compares the rate performance of the proposed scheme to other counterparts under imperfect CSI, where we have {{formula:2b9c1634-dcae-4ba7-94ed-10ca7f05e7cb}} . In our simulation, we consider two benchmark schemes: 1) the AO method characterizing the near-optimal performance {{cite:3ab4c0b7d071f18c76dde...
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fe9d901d959734dd93233bb5d477ff56
Full Fact's approach centred around using sentence embeddings as a feature engineering step, followed by a simple classifier such as logistic regression, which is what we used. They used Facebook's sentence embeddings, InferSent {{cite:efe832ed8d456afa7a7184cc49c6e860d6deaaec}}, which was a recent breakthrough at the t...
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24a7d7f31c9cd0b29e03f1a17a2962ac
Spin dynamics {{cite:3c02bc7f1edc29dae8ad4585ade3d25f889fa23c}} are also regularly used in network clustering. The first step is to define a spin model on the network, consisting of a set of spin variables {{formula:9df86946-9983-4b5f-9c80-a46f6692fdd8}} , assigned to the vertices and a Hamiltonian {{formula:d01a6d04-0...
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bb76b847446496190f955164fd00a63a
Furthermore, in practice, the phase-shifting of each PS can only take finite discrete value from the discrete phase-shifting set {{cite:9e501e56cc169722289ed477d3cabeb2440301d4}}, {{cite:c671941b61e3bbacdf94b97bf3df55a60f7bfec5}}. Let {{formula:ba5f5703-192b-4f92-95cf-d18267c7fda4}} denote the number of bits to repres...
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327144bca50c84b670ee0af9d4c2c369
Many deep learning methods have been proposed to generate time series, including Recurrent Neural Network (RNN) based methods {{cite:7d1025ee22be1458bc3c6445f9103bd1287f1d12}}, {{cite:887e9403060ddce12018470bba919fb2f2d6c1e7}} and block-style methods {{cite:5e45808bbf420d68597c7538d6b51293cd597158}}, {{cite:9c87481e407...
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458c4a193a3fd8c83ef047978d9b51ea
During outburst, the RG is engulfed by the ejecta and the near-side is exposed to the radiation from the hot WD. The immediate effect is to increase the distance at which dust condensation is possible. {{cite:fd70b2492aa147451f8fe4049ecefef208547e15}} showed that the sublimation radius reaches a maximum on about day 70...
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08856ee5f1af102ab8542a0063f66c33
On the side of adiabatic quantum computing {{cite:fa5a012c7dd93418ec0443c46f8aca4154d8c597}}, despite the fact that it has been commercially available for more than a decade in the form of quantum annealers (QA) {{cite:8ff3d6b50bd7442f9d0d3495d8ce14b546bc0d3e}}, this approach has only recently been used for LGT calcula...
i
c72b0585f2c2a85cdc3e41e518db995e
Radford et al., 2015 has shown a way to build high quality representations by training a GAN model and reusing parts of the generator and discriminator networks as feature extractors for other supervised tasks {{cite:c30331ee3c6c125ace295bd7819e7af5d584f76a}}. This can be potentially a promising future direction for th...
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c40f02dc6ea4b553eabec949049ed77d
The IRL model framework is illustrated in Fig. REF . Model training can be conceptualized as a Policy Generator (G) and a Discriminator (D) locked in an adversarial process {{cite:765e68a281e9adf415a90a60e7860a5be1d0f81e}}. The Generator generates fake eye movements (Actions) with the goal of fooling the Discriminator ...
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6402f7a2061eda391d06e77a26f123b7
From Lemma REF , we know if we get an {{formula:4cb007f2-cefb-4158-958c-4125e6b68d0f}} -biased set of size {{formula:6c319d83-c18f-4e5d-86a2-38f424e7c93b}} , we can use it to recover {{formula:1021b376-77f0-47b4-9b14-cc57d4d32922}} , by making {{formula:c2b1c0c9-3406-4ad9-b4a6-14530a8446e5}} queries. Thus, the key tec...
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5df17f6ccf5b9d41212f0f2658a1c10f
Let {{formula:7db5527a-14ce-4450-bb33-114b566059bf}} be the vector bundle on {{formula:f1148b8b-938c-4c95-8700-829b72fa2697}} arising from the {{formula:90767d07-5337-46de-a405-c078ca9d35e2}} th step of the Hodge filtration for the {{formula:dd3afc52-a7ba-4b76-9468-74cba11d46be}} th relative cohomology of {{formula:2...
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1b31d2a0373d0be729a363e1b8634c39
The first part of our experiments (sec:Experiments-Quantitative) comprises a quantitative evaluation of the accuracy and performance of our optimized implementations on the KITTI 2015 stereo benchmark {{cite:8b108117aa9ef8297cdc90c00279e7799090bef4}}, as well as the Middlebury 2014 stereo benchmark {{cite:f9832be4cfb6b...
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a2ef96cc519864e3a5015d25f711d1a6
Limitation. 1) Currently, our method does not applicable to multiple input voices. 2) Since we do not focus on fast inference, the high-resolution rendering process cannot meet the real-time requirement, but our model can benefit from some concurrent NeRF acceleration works {{cite:54e4c4af9cf5adb92b414007fcffbc126b4540...
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1c38d4295613bff4ca7600ecc5835a47
There are millions of photos of natural landscapes on the Internet, capturing breathtaking scenery across the world. Recent advances in vision and graphics have led to the ability to turn such images into compelling 3D photos {{cite:449dc0d3d8238d40adb58aba785c27e1f6fbc7ac}}, {{cite:69f7e4adbc1b1614312b0db86650a4b7bd7f...
i
f13aed5d6f077e649f154dbcff95b1f4
The Tikhonov method {{cite:176d7cc00ea1bb184a3c29157f0f04e9da841c73}} is to solve the above question takes the form {{formula:e3766b73-33a5-4bd4-b56e-fc5e55db0b55}}
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19b6b0f8eb5e7a7ab21c909b76aa56f2
Actually, our counterexample shows more, namely that the following substitute of (REF ) for “long-range" potentials (i.e. {{formula:4217ea53-a871-4fe1-a413-05b070020b6d}} ), due to Frank {{cite:0fe269e938de11212bf6592ceb67b4fd630e70b0}}, {{formula:85049b10-2cd4-41a2-97a2-0c39f52d69da}}
i
60da32b666d24faad98b0d413f84f33f
DBSCAN is an effective algorithm to discover clusters that present unusual shapes even in large spatial databases{{cite:c01b1387ed947963e265dfb6062f998147c9beca}}.
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c118bdd291ce262e54d78dc2c6ae832f
The recent experimental discoveries of superconductivity in rhombohedral, or ABC-stacked, trilayer graphene{{cite:570c35396383065ecde6b9ce23eeaa1b10016913}} and in twisted graphene bilayer systems {{cite:925557e0ae3cfb13ebbc665b81ea2c88649e31c6}} have received a lot of attention. A vast range of theoretical proposals h...
i
5a83482e76ba4d5188bb78e08aee9f5b
up to subsequence, {{formula:24ce8d56-7365-4222-ba7a-88a2586993cf}} converges to some {{formula:eee07300-a8a3-4a5b-b54c-394179c4ae6c}} with {{formula:79f156d4-f35f-4455-9161-fe4649078ec1}} . From {{cite:3807fa58e8d777edcc7d3daf720563040d62245d}} we conclude that {{formula:73125aca-9eb6-4753-9160-50b4f233b91e}} is a ...
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019a98fae9d43d42f0c3ab16e701ff71
where {{formula:5ff33d99-f7ac-4da6-90ee-9ebcddf1bf1d}} is the minimizer of {{formula:de7977e3-38b8-47be-90b5-9397c3b88a32}} obtained in Theorem REF . The function {{formula:e48a3610-f4eb-49eb-97ad-15285fc65d4d}} is named as the regularized solution to (REF ). Let {{formula:c705cffe-1197-47ec-a3e9-4f2d613bcb0a}} be ...
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ea7a204b48535715641865e4a724d8dc
We evaluate our method both qualitatively and quantitatively on video pairs of walking animals from the YouTube-VOS dataset {{cite:53e60f0b45cdd2a93d103366fed9a42aec68fec6}}. All pairs are challenging as they contain different shapes such as a cat/fox or a deer/horse. To demonstrate versatility, we also present results...
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40c7f9bbd67442e15d3080cf9c35ce82
where the sub-kernel {{formula:d188f2e1-17d1-461b-a463-a269842a0ae6}} is given by (REF ) with {{formula:e5bf6ae3-fd27-4243-a27c-15812310a85e}} and {{formula:aa3f66cb-fad4-44a7-ba20-5c3d03397923}} . Thus, problem (REF ) is transformed into the problem of determining {{formula:ee60d8d1-faa1-432f-b4d8-6f5f22fd5399}} a...
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817c96a9852e81a84ff07d7661ffd125
This theorem enables the estimation of the gradient of the value function analytically, whose evaluation in the context of sample complexity scales only logarithmic in the parameters {{formula:b16bdfd0-197c-4170-b0e7-eeadad274bcb}} of the policy {{cite:1ff7a82ffd1f176f0eda1f4f95bfec51038b4352}}.
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A novel method for cell detection and counting, called ACDC, was proposed, by exploiting a fully automatic pipeline based on the watershed transform {{cite:2546961f85cb10b8679d9d3fcec894d05e6d2fde}}, {{cite:0376060002e12440d31dff88a4b4972c44574849}} and morphological filtering operations {{cite:dd685c6fba4802c925a02422...
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While there are many definitions of robustness, the focus of our work is on distributionally robustness, that is, being robust to the distribution shift of the local data distributions. We consider a distributionally robust learning perspective by seeking the best solution for the worst-case distribution. Another key f...
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e412750fc1f0d169a5d9ed1a8db5b02f
In recent years, several studies{{cite:50ef947c1b78ab2a1c0c835025a7274dffb2c5be}}, {{cite:8f74bdb719dfa79269b5d8b76de383ccdd6804a1}}, {{cite:24eecb3cb9a6f5be051335640a01710af8b6f82f}}, {{cite:3a732765b2e10e1fa009fd907e2e41b783bb1033}}, {{cite:713680dd26582615fe8a53d4a57203394a648cc0}} has been proving the efficiency of...
i
58128bffbf726d58b5535db7b8ba6c67
Theorem 1.1 {{cite:5ef56e749bfdb2d489f19fea6ac7252862e9d3a5}} Let {{formula:196465b5-50cf-4ac9-bd25-65dc3de92602}} and {{formula:23aa2c97-c57e-44c1-ad67-1ef24791a7ed}} be separable Hilbert spaces and let {{formula:272b8214-5f82-437f-ac43-5d433387c744}} , {{formula:548cb672-2212-4629-8070-447efd35cf63}} . The followin...
i
5e08e1277ca50b7f807b2cabd4eb3f93
This subsection highlights the results attained by measuring three different metrics to judge noise reduction and the quality of the reconstructed low dose CT images. We use the following metrics for the evaluation - Peak Signal to Noise Ratio (PSNR), Structural Similarity (SSIM), and Root Mean Square Error (RMSE). PSN...
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90c191848551a1f796d6f58fef787e0b
Human intelligence is often understood as a process of turning experience into new behavior, knowledge, and skills. Humans achieve this by constructing small models of the world in their brains to explain the sensory experience and use them to infer new consequences. These models can be understood as turning experience...
i
a6c7afb0a4f471011156811702f76cda
The idea of variational inference is to optimize the parameters of a variational posterior in order to come as close as possible to the true posterior. Following {{cite:9300e75b0a997de748141a8de7d4e1a7d85529a4}} we choose a Gaussian variational posterior, {{formula:d4a4f95d-d875-4306-b8b2-b962541f614b}}
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87f82d4d8edf09bfa5ef6039b00694ca
We primarily consider methods that utilize GNN models which adopted messaging passing operation as their main backbones. GCN {{cite:c2b2eeb70d28ea17a03f2347947179b6d089141e}} and GraphSage {{cite:cf392d566b0af58c3805b446783335a265557c23}} are methods where convolutions are strictly based on first order neighbour aggreg...
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b5b67e9a93e73902dfe05b5d2dd76151
In the last few decades, RMF formalism emerges as one of the most important and prominent theories capable of interpreting the finite nuclei results of heavy-ion collision experiments and the data obtained from the astrophysical observations adequately. A lot of RMF parameter sets has been developed in the last few yea...
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8979962968ca59eb026508400d7ef94b
The protocol setting is as follows. The employed DQN {{formula:0cd70c5b-ffab-4e16-a4a8-768e99e6f04a}} consists of two hidden layers, six residual blocks, and {{formula:5a1574be-2fbe-4174-9693-89c3ae255045}} output neurons, where {{formula:3338f1db-f497-431d-8465-c57acd9093a2}} for Clifford+T group, HRC gates, and Fi...
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fe5db9d63c75cc3be180f58d0d232afc
However, without principled guidance, the underlying mechanism of transfer learning is not very well understood. First, when we are pre-training deep models on the upstream dataset, we lack good metrics for measuring the quality of the learned model or representation in terms of transferability. In the past, people ten...
i
43228449212499695ce04814678629f9
Based on this claim, Cut&Paste {{cite:b2426ba7120ddce447b5c8844c2c2a50ee272027}} developed an SSL model in which the proxy task is adapted to detect irregular patterns. They created a data augmentation strategy in which a patch in an image is copied to another location after being randomly modified. This data-driven st...
m
31795b361a4b668040daa888b0fefae8
In order to determine the nuclear modification factor {{formula:55b30261-2ef8-4f82-a0f7-78d181d0c38b}} , the interpolated {{formula:b7d5189f-8990-4360-922a-ba84748d8da0}} -differential pp cross section is scaled by the average nuclear overlap function {{formula:fb9ec8fe-0ec2-4028-9e1a-f23e6b88df92}} . The resulting nuc...
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bbd5d529ce4241a5f1eac4733f5a73e3
In the Merton jump diffusion model (MJD), see {{cite:6165cd54d57fe1668bdc49543ff0da2e97ad34e7}}, which is a special case of the Bates model, see {{cite:2c326e0bc6998556d4b3f74c90512a6ad86af68e}}, the stock price is modeled by a jump-diffusion processThe number of jumps are modeled by a Poisson process with intensity {{...
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ced57388893d51211adee6d73e8b9e05
In this paper, we introduce anomaly clustering, a problem of grouping images into different types of anomalous patterns. While there has been significant progress in image clustering research {{cite:5ad2db06160b71f88b58e853c2e5ee37e66609ec}}, {{cite:d73251348631ce73f77e639c87375fd425bc6df6}}, we argue that the problem ...
i
c827e2f85a71c48ceda289cb1b0572c7
Nevertheless, in recent times, a lot of research has been done to understand the Hamilton–Jacobi equation from a more general geometric approach, and some geometric descriptions to the theory were done in {{cite:06cba4f87ec0e73f16e2bed2f4f5b1364d427f70}}, {{cite:77f64cc303faf84e1cb8b30a2a74b984a0a8a55b}}, {{cite:4d39a1...
i
0299d2e4cdba54436749342ae8c8041c
In our simulations, magnetisation dynamics is governed by the Landau-Lifshitz-Gilbert (LLG) equation {{cite:65c63ee7e3ff2e1a375b6f4bfbb022dc9d73361e}}, {{cite:b84ca280a315a5c83267ebf4ffeb5b081a4c3bbe}} {{formula:15e4ea1d-a1df-4ec8-9411-59ce099b6a5f}}
m
9ce0964a327de32f1a0a131b362b0838
Based on the complexity of the SQL, the examples in Spider are classified into four types: Easy, Medium, Hard, Extra Hard. Here, we provide a breakdown analysis on the Spider test set, as shown in Table REF . The BERT results are adopted from {{cite:c3287c6b9fd90b1ceeed1bcb445c6fb4ed783011}}, which is the state-of-the-...
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adf480640acaac8ba58ab9afb2e40aa0
Strongly robust toric ideals appear in geometry, as defining ideals of non-pyramidal self-dual projective toric varieties, see {{cite:b73686519822d67b8965e22175881d7bd2c6f251}}, {{cite:dc8fb0879db6f02e53475490a736af5da8670b58}}; in combinatorial commutative algebra, as toric ideals of Lawrence matrices helping in the c...
i
e9f3ae7c4232a8fd4dcef451cf8a10e0
First, we perform a linear evaluation by fine-tuning a fully connected classifier for 100 epochs on top of the frozen 2048-D feature vector from the ResNet-50 backbone. Table REF reports the results on Imagenet1K after 200 epochs of pre-training. With different batch sizes of 256, 1024 and {{formula:54bce379-db2f-4945...
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ff1f90cb6c2f22a025876a47d95f2740
Dynamic models are based on two levels of specification: time-indexed observables {{formula:4f335289-36b4-40c4-af30-c9c87b65a219}} , {{formula:84da7fcf-2afa-492e-8dc6-11444392e722}} are assumed conditionally independent, given latent states {{formula:53d7e17f-65f7-416d-847a-ab4d3df04a93}} , governed by stochastic evol...
i
da1ccf2e1f6a3c19ef19a81f60ec720f
It is noted that in this discussion only models employing leptons as primary particles are considered. The stellar wind and the circumstellar disc provide reservoirs of target material with which relativistic protons could also interact to produce gamma rays through {{formula:026c2ba6-ec2e-4cdf-8ef8-dc14c9c08182}} dec...
d
0015eb82506b550325761f2b11008298
In another context, it is often not straightforward to choose the most adapted statistical divergence for a given application. Indeed, there are many types of statistical divergences that are indexed by a scalar parameter, for some value of which the KL divergence is recovered {{cite:3663f250f219aa326e1990b1c2bd656c908...
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ec00173c45b936c87372aae1e6eb9094
The fast modes most likely originate as sound waves from the photosphere that mode-convert into fast modes at the equipartition layer. However the fast mode wave amplitudes quoted above at the equipartition layer are significantly larger than those expected to derive from waves associated with photospheric convection. ...
d
917a4f30c29e381a41e169ec16eacd0c
All models are trained with the Nadam optimizer {{cite:74c86ab19af713e3da41e6c7d7f399fbc04ceb5f}} on the training set and the model with the smallest loss {{formula:1da90bb7-c46c-4c8f-b77a-f9e789d73638}} on the validation set is chosen for evaluation. 5 training runs are performed per model with different random seeds...
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181d839978bd57fb5111ca7a3ae88ae0
Different auxiliary property-based tasks can also be integrated into a hybrid method. Hu et al. {{cite:ae57fe20e924793a20f4aa25eb7622527c9f2209}} present to pre-train GNNs with multiple tasks simultaneously to capture transferable generic graph structures, including Denoising Link Reconstruction, Centrality Score Ranki...
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4d8a93207a40d05c9b76e8f58857da83
Statistical physics offers a way to pass from a microscopic description of systems to a macroscopic one. Its numerical realization is known as “molecular dynamics”, which is a simulation method used and developed over the past 70 years; see {{cite:21fc44ac9282dbe2e4f2efef344690691e24645e}} for a historical perspective,...
i
6803d0b336cd70e1ec0dd0642c6a7822
Label sparsity does affect all relation categories, apart from one-to-one category. We further investigate the changes in system ranking by different relation categories when the label completeness is improved. The relations in KG can be commonly categorized as one-to-one (1-1), one-to-many (1-N), many-to-one (N-1), an...
r
a19851a774f7410f46221ab3c1376982
This second-kind superconducting phase transition {{cite:2efafe4dd1c4a006a6014907a48d7ebeb0b30453}} is known from low temperature solid state physics {{cite:e77db8b4ff0471c8d9691a66e1965de35091baf9}}, {{cite:c6e5e8e8662dad9c3fd08581db14c8fae1b68f29}}, evolving Meissner diamagnetism based on electron pairing and condens...
i
8c631d1f87ce70afa8ec5253ff113eb2
We find that the AHE in EuIn{{formula:f3177445-fc29-4775-9e67-2fe5287f7a56}} As{{formula:ce13b034-edcd-412b-a8bf-7333ad4af9ab}} fulfills these features of the intrinsic AHE. We plot the anomalous Hall conductivity {{formula:ce90f02d-ee81-42c1-a897-3ac2b65c9a6f}} against the longitudinal conductivity {{formula:85e5a6d...
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ef97738922eabaf2abd99af0cb730924
The formalism will be exploited in a companion paper to investigate the Hayden-Preskill scenario of throwing a diary into a black hole and asking when the information is returned in the radiation {{cite:75a709b93e132102eb1dd6231e4911fce1315ad5}} and the Harlow-Hayden process of distilling the purifier of a late portion...
d
372020834d464474e8b196df51eff1d5
On the other hand, the idea of using the Morse index of a solution for a semilinear elliptic equation was first explored by Bahri and Lions {{cite:5055bb1087bf67e40a98dfdd7cf838df2b6a80c3}} to get further proved that when {{formula:dc6a5afa-f3f0-4d01-8ae1-98c17b996b56}} , no sign-changing solution exists for (REF ). To...
i
fed70707c048d72bfff6355ec2d5dfe1
The vector space {{formula:ad9c81a4-c257-4643-9b28-7c09f9be99bf}} was explicitly calculated by Peterson {{cite:5f60a6e1fb0b28e301f18f703fd6271458edb23a}} for {{formula:1726cb63-140f-4f51-8123-c9197336dac2}} by Kameko {{cite:ede054b207f12e5caf75b0d16e9768c6129cbb4c}} for {{formula:95865e1b-869a-48bc-aa70-2c8f40ab0ea8}...
i
c79b6518e8dc3fe7d3431e8f0d4ccab6
where {{formula:8166179d-ff12-4cc2-a979-90ec42530ea7}} , {{formula:8b18251b-e48c-480e-8394-63a18f6d1d19}} for {{formula:7fda118e-0dd9-4704-960a-96a42ba3b1ce}} and {{formula:55370c8d-e85e-47d6-a9ea-ccc9cbb5481f}} . We remark that {{formula:451b158b-aa61-445a-96b9-dc8892ac936a}} denotes {{formula:6c4b8221-42a8-4b30-91...
r
b1affcb50a441a44eb1f6e10fb791441
Overall, HaloAE performed competitively on the MVTec dataset {{cite:233a75e69c85603ec9a5fe8dcd45178ced5ab283}}, with an average score of 91.4% for image-level detection and 91.2% for pixel-wise segmentation. The performances of our hybrid model between CNN and local Transformer suggests the importance of integrating gl...
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416f8f074819a815936a9b040a9e8018
For MedMNIST3D, we implement ResNet-18 / ResNet-50{{cite:679155bf94eb6da7e246dc30d6c24375ea94cbe6}} with 2.5D / 3D / ACS {{cite:e3e74d06916267ba6cc57495b3640bc01f823fac}} convolutions with a simple early-stopping strategy on validation set as baseline methods, using the one-line 2D neural network converters provided in...
m
4974f866fe00da74ce5b856e15dca82f
Furthermore, {{formula:f3f17887-5704-43e6-8cd2-275c375b3537}} serves as a more direct signal to characterize locally how vortical the quark gluon plasma is and we may extract the magnitude of local fluid vorticity {{formula:9ec469ca-8691-4dbf-829f-75838fc4b835}} . In current study, we find that {{formula:b5f8b379-6c80...
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09b77a3da919c5fa83b6cb8ce19acb5e
Other time-sensitive protocols. While the attacks we demonstrated were specifically targeting Lightning Network, we believe that a wide variety of Bitcoin second layer protocols {{cite:24d4fd00c68bfcdc5ee19b6f94094f3253ea6053}}, {{cite:f28f2eefafdcf502772adf9d404436d002a5f9d9}}, {{cite:11c4dd874aafbfe959d9b741cae37b51e...
d
99e386936fce8159da17607a7f5c846b