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We note the similarity of (REF ) to the approximate quadratic Hamiltonian of Fetter {{cite:ed405a25dd3ad8838d0b86db4917269b8151d697}}, {{cite:8f65cd48b0786c4089ef50f427e8bb7761d68959}}.
d
5b987ec01e862bd29a91fa9327dc2162
The bulk of the research on deep-learning super-resolution methods considers the use of a single LR image to produce an HR output {{cite:b2075be1a2d7afd4dac4ee7f755f05f8c9266a9f}}, {{cite:6fb47d68d0251e315a351f81b31b0b2e346124b7}}. In contrast, video super-resolution schemes exploit the temporal correlations in multipl...
i
1f4c6296d73ab06a09b07ca78360fa45
Shots Aggregation  Most prior work {{cite:1185c3ef79bf193de4412a760530f1b4e4ae6a59}}, {{cite:524910ea307f2fd2b61771d93e3dc61cb92bae50}}, {{cite:93f68ce706cbbab76b0dd15f37d18f4284420207}} simply average multi-shot support images to obtain a class prototype for detection head. However, this cannot fully exploit the littl...
i
91a9cdb27c1a861e42aff6d91c9db57c
Spanier {{cite:db33bda32b9cbe18586e2133dab07ac18a040993}} introduced a different topology on the fundamental group which has been called the whisker topology by Brodskiy et al. {{cite:61149024b9e0cf3f4f0b5967826acc7cfb0a973c}} and denoted by {{formula:f19d59c7-123c-48cd-b31e-b8b57eb67195}} . They showed that {{formula:...
i
3363820684e46ac542f85dc2ac5fb6bd
While there are a large number of alternative clustering methods available (such as STING {{cite:ad36327c6f8f7d08d279a9e919594cc95175ee81}}, BIRCH {{cite:296feb1ec0a82e653195e223441c420b7e42a961}}, CLIQUE {{cite:04d1d6226b9d2e1605eacf23ea97851058ebdf4a}}, WaveCluster {{cite:394cb1976a843016cde685d1b052236043c876ca}}, D...
d
bd201aa9df53c458447af84a54a58b47
Comparison to Slim: Table REF shows that {{formula:f582a040-e984-418a-be88-c1602e639959}} achieved notably increased accuracy compared to Slim on all the data sets. This suggests that dropping the L1-norm regularization as well as the non-negativity constraint on the learned weights is beneficial. Our analysis indica...
r
4efdcecae093c28d33c32673864ed561
In this paper we explored synchronization of phase oscillators on hypergraphs with heterogeneous structures, generalizing the results in {{cite:346dd99d9a94e11d682a6de85cdd3a0c3da36347}}, {{cite:00a955a1eee53ee1bdcb495811277e81d86ff4b5}} to more complex scenarios. The mean-field approximation allowed us to predict the ...
d
4fbd17cbe429e1a87be795356ea9a3ca
Since the MNIST-360 dataset has no task boundaries, many methods that rely on task boundaries are inadequate for it, such as LWF {{cite:fa56e47f9eabda9fb58d3809064c260cd90fee53}}, oEWC {{cite:2690187fabeb1e5af54f41bee10e191e1913cf8b}}, SI {{cite:bc3d9631725c69a900d94a4c8dc991ec485dcdcd}}, GEM {{cite:0bab1d4ecd9b815128c...
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Baselines: We have compared the retrieval and ranking performance of our system with some of the other state-of-the-art face image retrieval and ranking approaches including MARR {{cite:c4af31cb7f1c5d475fc2601d3aea4a4bb282a9d6}}, rankBoost {{cite:400911b40170ed1e59f5ec321ce98f0a3c14f308}}, TagProp {{cite:82429f94e00d35...
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db448a8facc5ceb0fd5c41109e213d52
Linear optical networks are the basis of quantum technologies. Many important applications of quantum technologies such as quantum key distribution {{cite:8ac10f6ef356d9410e6ef88ef93c3218deec819a}} and boson sampling {{cite:c8b03ace2d04d53623b613fff12005013488d219}} were demonstrated using linear optics. At the heart o...
i
5f5a3505e1e8772ac44453e9295b3da6
For simple models, sampling may be an unnecessarily slow mode of processing when the whole distribution is sufficiently encoded by the weights and hence by simultaneous neural activations in the output layer. In more complex models, sampling may be necessary in the same way it is necessary for serial computing: to appr...
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675e9396dc1968d643556f459f4ad4c5
One potential benefit of the regression approach is that it allows for the development and study of non-separable estimators. We can incorporate covariates and structural information that are useful for estimating the unknown means by including additional inputs in the estimator. The need to include covariates and stru...
d
c3162a29facc74a9f9602602c4d3c0ed
This paper presents a new embedding transfer method that overcomes the above limitations. Our method defines the knowledge as pairwise similarities between samples in a source embedding space. Pairwise similarities are useful to characterize an embedding space in detail, thus have been widely used for learning embeddin...
i
f805ffd26ee15d23b4dd1e9d92638cf8
We first report the results in Table REF . We use the FiD {{cite:1368bfc1c21e1340c563ecf4ae3ce0a1882fbfb8}} base reader model on Natural Questions Open {{cite:83ae428cce7731944da691be18a2ab63e5a8d8c8}}. To verify that the model overfits the top-rank passages, we purposely mask top retrieval passage representations base...
r
c6b753d4763f9804df0c2ae7d5036b98
The shifts of broad emission lines may originate from the non-virialized BLR, e.g., outflows or inflows. However, gas outflows can generate the blueshifts of emission lines, e.g., narrow forbidden lines [O iii] {{cite:2b0c14bfaa63b54b73866832aadc906db46ea645}}, {{cite:7f9e814da3bc75dbe13ba671dec08810e78afae0}} and broa...
d
1d2894897e692aea4a11ac3957500a37
Feedback Alignment (FA)   The weight update (REF ) of layer {{formula:c3f86692-118e-4419-915f-ef301729f9fa}} requires the knowledge of the matrix {{formula:dae9a053-ef2a-44c9-bec5-a765040bc13f}} and is biologically implausible because it requires that neurons send to each other large numbers of synaptic weights (i.e....
m
8af516e10bb526f51d5fc4cc038c9675
Using {{cite:e3392111662844a552036c6d1058ed68ef8cb822}}, the sum {{formula:3a92950d-4cfb-48ec-886c-c9e57b7e3244}} is maximally monotone and hence, its graph is closed in {{formula:a02df759-c0ea-46d3-9d72-d8c19602d69a}} {{cite:e3392111662844a552036c6d1058ed68ef8cb822}}. Therefore, {{formula:78e93f84-cf2a-4902-a71e-0bc...
r
7aea6cf1f37904b151eacf28978d00ad
Table REF shows the result comparison with three recent Transformer variants, ResTv1 {{cite:19992446946f1a7c4c2030ca40b788faf48e6aa9}}, Swin Transformer {{cite:567d7d49d3796290d0f28081e92875084707e0fe}}, and Focal Transformer {{cite:25fe03d566c1e4cba9de32288a69c2dc432f9967}}, as well as two strong ConvNets: RegNet {{c...
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dd639060e61e31b205ca6898c83ab3e9
This work opens up four avenues for further research. An on-going extension regards the case of categorical and mixed variables, taking inspiration from discrete GANs {{cite:e15ff841597a28d6b809daa6cb521cae502435ea}}. Another perspective is to relax the causal sufficiency assumption and handle hidden confounders, e.g. ...
d
f804067366debdbc1afb57aec42df7e2
As studies have shown that VQA models can be reliant on single modalities {{cite:fb25ea8410f6e98db06fe32da136b3d3ee4b4426}}, {{cite:fc16b54d6c927ce911c9bcd17b7ab3ddcfec9199}}, we define a novel pool-based AL strategy for VQA by leveraging mutual information of the multiple inputs, image and text, individually through a...
i
87a8b0a76caea59d86a58e64f6eb06ef
Classical sensor fusion strategies normally rely on the handcrafted physical models and algorithms. For example, in the case of visual-inertial odometry, filtering methods update their belief based on the past state and current observations of visual and inertial modalities {{cite:673711cb8920a755a68e80f18f0dca5033eaa7...
d
59f7ac03d2d9324c784f2197e4e70e46
This notion of solution was introduced in {{cite:abec768e8e4348646562ca841a111626c5ac871c}} for the case of the interaction with the logarithmic potential, see also {{cite:9a16d78e188495bd5fd0fde628b437967ccded1d}}. We shall construct weak solutions to problem (REF ) by applying the Jordan-Kinderlehrer-Otto {{cite:e129...
i
023259578614163f425e3b60b3223378
Universality has been established for wide classes of Hermitian random matrices. We refer the interested reader to, e.g., the book {{cite:2c6698875cbda2bf4346209f5637a91a049b99a2}} for an overview of these developments as well as to the seminal papers of Tao and Vu {{cite:fa8849b9ac4106dba2e6ddc0c2578cbeb04a10f1}}, {{c...
d
6dff39a8c4df8b2d3ec0542c80c6a3c9
Therefore, {{formula:b82459e6-f9ed-470d-b0d8-62d9d8d08d26}} is an equicontinuous subset of {{formula:ce412abb-cc6b-40c3-a3f4-fa3c5944f1f8}} . By Ascoli-Arzela Theorem, see {{cite:1140c2bbc2620ca2879b2340a41329191636b091}}, {{formula:6856d472-c291-4c13-a4fe-3cc9a5ba754a}} is compact.
r
dc5cc4797fad285f5d84b3eba6cb7434
In this section, we provide additional details on the baseline methods and cite the implementations that were used. NOTEARS {{cite:8a311aa9eeea28ce6f8b35b032c03815acc86079}} was extended to handle perfect interventions, and to use a Gaussian likelihood (with unequal variance across features). In contrast to the origina...
m
45ade146678cc11774c8e58e247d337b
||Pt f||L2(X) (-2c1 t) ||f||L2(X),  fL20(X). In addition, time relaxation property (REF ) is equivalent to {{formula:a2212919-6a3d-439f-825e-04ba74dc3620}} -mixing of the process {{formula:acc6c83a-9be1-4801-845a-e121fbc77e82}} , {{formula:de98a84b-3c94-4c52-9944-3f17e8df9b3b}} . Specifically, let {{formula:69ec1b6d-...
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273293ffe4f509887f82cc10cb3fa1b2
PartNet Semantic Segmentation. We present semantic segmentation results on PartNet segmentation task. We evaluate our MulPro final model with post-processing technique {{cite:4738bf6871961f19e9535e767279d64039b15f95}}. We also compare our results with WeakSup {{cite:4738bf6871961f19e9535e767279d64039b15f95}}, the large...
r
88adf4bf5d4b2b09030e8b0b4ff562c5
It is important to note that a Deep-RL agent is trained for each proposed environment. We compared our method Depth-CUPRL with the CURL {{cite:83c0eb4bcbaffc93dce6f525327381041fa2e2fc}} having as input the raw pixel image, and with an own version of the CURL called here CURL (Depth) with depth maps as input but without...
r
83d79954bab9aca409c840dfff82e6e2
Corollary A.1 {{cite:0b3fb6bf9848f4061ec9a60ea2a727775eb0e137}} If {{formula:4f0cf63a-fdba-4688-8fdd-81609d35d1ea}} is a Hermitian {{formula:013ce770-6cf5-4062-947f-4bcee40f81a7}} strictly diagonally dominant or irreducibly diagonally dominant matrix with positive real diagonal entries, then {{formula:e27c899b-ee88-...
r
36540a2b8e6c834979218a10d1dd63a4
A limitation of the QCCOT-GAN algorithm is the uncertainty brought by the gradient approximation using the straight-through estimator. Differing from VQ-VAEs and VQGAN whose approximation only applies to the gradient with respect to the encoder parameters, QCCOT-GAN has to estimate that with respect to both encoder and...
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3319ec9d9135ef8a5ceda224ce7dda86
BadNet-SL {{cite:42a2ed2920a283cf17e5c9b1e8420aec0a33e498}}: This attacking method follows the same data-poisoning and model re-training procedure as BadNet-RW, but in this case, the trigger is chosen as a long neutral sentence to make the poisoned sample look naturally. Thus, it is a sentence-level attack.
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094ef2852cf901867a74ddd77ffc28ee
The derivative {{formula:91133a7e-47d0-461b-8a94-15de79c24a77}} of {{formula:7eeb3eff-7dd9-45d7-8735-7d805a48124f}} in the sense of distributions is a vector-valued Radon measure having total mass {{formula:858f2cb7-ec3e-4660-a1e3-0e8e70be828a}} see  {{cite:7a8cdff0b82500fe4deec61f4ebe32d5a3633439}}, {{cite:294b4ba...
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0831530389f4f3ff32c0f3698a2e8d76
We reduce from Positive Not-All-Equal 3-Sat which is a {{formula:3035c398-06dc-4374-bfd5-5d8f0a238744}} -complete variant {{cite:1acb80e2f0106e4dad17d7184215a138ea75ebbc}} of the 3-Sat problem where given a formula in which all literals are positive, the problem is to determine whether there exists a truth assignment s...
r
d131a870247328a51bd41d23d07ac12d
with the three errors coming from the variations of {{formula:d3cd8e4c-4306-44b2-8d66-94c51f36df5c}} GeV {{cite:f322496936240faa9b4e637edf7fd81f8ecbf7ab}} or {{formula:6631a392-a067-4475-8903-af59538ba4c3}} GeV, {{formula:e5189f16-9330-4a01-96e4-a9e847869876}} , and {{formula:3c331fc0-d02c-4d11-acc4-320bb8b72374}} G...
r
c700452fc30a02fa700c6d551020fce8
The 1d case of the random geometric graph has appeared in three major places. Firstly, as random spatial models in the physics of complex systems, see for example the 1d soft random geometric graph {{cite:e38a1f620e90c6eeddcf70c63f30c7b198010952}} used in complex networks by Krioukov et al. in network geometry {{cite:e...
i
760ccc53d7c0c94c77896c2646335933
The results in this section are for {{formula:d51ff6ab-1192-4bf3-88cb-2ae852ba0e28}} REs, {{formula:8c7fa4aa-a78b-48bc-bfc9-f6ca5148a9bc}} Monte Carlo runs, {{formula:cc7090e0-3639-4254-bb68-0d602f639e04}} , {{formula:989da863-1db9-47ca-9af1-8e1c50c3924c}} , {{formula:8eeb2493-4a2f-4497-8591-c911e13d1f9e}} , SINR thr...
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0aba0f3175bd4271f93ebcc7db656942
Graphene is an ideal candidate for such a composite structure due to its unparalleled carrier mobility. This allows for extremely enhanced and tunable electromagnetic response spectra when doped with other plasmonic materials, or fabricated as a component of a multilayer structure. Monolayer graphene has a response spe...
i
bae593e3e8684b267f631063e779d4f1
The training process of the Faster R-CNN keeps the first two convolutional layers of the VGG-16 network fixed {{cite:a69a37486084ac8e576f548285218b8833e3299f}}. Changing this, so that the weights of all layers are trained worsens the results by 1%-2%. A similar effect was observed when a dense-sparse-dense training {{c...
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49183dce191cfd9c92276e0bd14833f3
Consider now magnetar MG J1647-4552. According to {{cite:bec1f68715aae204018536a8ef6a7afa60bb7227}}, its radius is estimated as {{formula:3b43dfcd-0991-4125-8ba2-1ff418e8c6c3}} cm, the period of its rotation is 10 seconds, and the magnetic field induction on the surface is about {{formula:7917c8c5-69c7-4222-b65c-18bd0...
d
07d93e73ffc92f810648ee0111073ae7
We reported, in the previous sections, on the long observations of the bright quasar RBS 1055 with XMM-Newton in 2014 and with NuSTAR in 2021. A {{formula:76d826ae-1fe0-4d15-801a-d512d566f052}} drop in the 2-10 keV flux (1.38-6.88 keV at the rest-frame of the source) is observed after seven years, from F{{formula:10b3...
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3b37b7d2fb7829085e732be6d21843b6
In terms of the peak-to-average power ratio (PAPR) of transmitted signals, the former case corresponds to the worst case, i.e., the highest PAPR case that is {{formula:53df85d7-0967-4fdc-a4b0-60655171daf5}} , while the later case corresponds to the best case in the mean sense, i.e., the lowest PAPR case that is 1. Afte...
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3de499dd0c0ebc4ed6430049455c62a0
We also show that the Gelbrich risk provides a finite-sample upper confidence bound on the true risk under the population distribution if the radius of the Gelbrich ambiguity set scales with the inverse square root of the sample size. This finite-sample bound is dimension-free in the sense that the rate does not depend...
i
f6de63df7e506bb1fb6c88600cc71e96
In this section, we test the effectiveness of RDA on feature extraction tasks and classification tasks. RDA is compared with four variants of multilinear discriminant analysis (i.e. HODA {{cite:f8e63ab9e887a8f1e9fbe24790d245a46e7a897b}}, DATER {{cite:df7679504bed96e16a9b0baef7821aceae76fbdc}}, CMDA {{cite:89ed1330f591a...
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de1a23da8ce3cda7b1e8a3247959eab4
Furthermore, two split-merge algorithm  {{cite:7461b5805c885f7d3dc53f3681f65394260f3446}}, {{cite:e43633e0485be4d6a4013c11b481001ee49921f6}} with unknown number of initial clusters also posted in Table REF , with more details of algorithms to be found in Appendix . For fair comparision, the inital cluster number k is s...
d
6b08c555ced6dc142580146fddf66e93
see for instance  {{cite:92d10a6a546efc3685221ba3123d156627391934}}, {{cite:36802b2fcab019035c2e11b26af57897d9d996e3}} or {{cite:147e3f0fa2e561e7d9b7512fbe7e9485eb109609}} for further details. In particular, the derivative is uniquely defined, up to an additive constant. In the rest of the paper, we will use the notati...
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5f297130bcb43acfef6dcf70d7876b6f
Recently, the versatile CLIP {{cite:8105dd8efa36c5f02b098db2042182bdf1f1886c}} has been proposed for zero-shot 2D image classification, which is pre-trained by large-scale image-text pairs and obtains strong open-world recognition capacity. Inspired by this, PointCLIP {{cite:afe3493a21f58689fe632dd1814ee08e9637e40b}}, ...
i
d04dc2d36178bbd096b8e1c9a26ae0bf
Solving the ill-posed linear inverse problem of estimating the subsurface reflectivity through the classical least-squares formulation {{cite:9de5a239d354080abb0a42fb46d75076e889fcfa}} leads to nonuniqueness issues arising out of a convolution with a bandlimited wavelet and loss of low and high-frequency information {{...
i
2f46cb7e566bba62a39bac8b1dae2b75
Our method has two parts and is shown schematically in Fig.REF . In the first, slow, part we initialize the parameters to zero and perform Bayesian optimization using Gaussian processes. This method is well-suited for this task, since querying the QPU is expensive and results in noisy outputs {{cite:fb7b65e7bc2c9bf57a2...
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a7c1b06686d047b37719266e376a23a0
Our main motivation comes from the Eigenfracture approach to brittle materials that has been developed in {{cite:ca49cb4102b0ea7cbdd06f7557ddb6e4f014e8c3}} and further considered in {{cite:217756cc511934cee1e5b448531f299fe2c7dd62}}, {{cite:d9b4b02926331e36d8f8f9cf4968b057a229b758}}, {{cite:ddc49175ce4aef76518e0a3af9a77...
i
8fa86292c27807b3c7448b9e71b95ba8
The phonon spectra for the T{{formula:a41c4be8-1acd-4a13-b01d-2f5af3c8e7c8}} phase of ZrI{{formula:0d6303a2-93b0-462a-ad2e-fc4c12875a2a}} were calculated using the method of frozen phonons as implemented in VASP and Phonopy {{cite:976c7b63a973af2256b33fa7c155713215ec8e08}} and density functional perturbation theory (...
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b789c0cab54c35f0ecefbc8464867c1b
Since the limit in (REF ) holds in {{formula:4f6dea18-4b4f-45ac-84de-7bd8e090ddc9}} (see Stein {{cite:9388e27ffd927205b407c3c36c0fbb43de4f3963}}, Chapter II), we have {{formula:32045bb1-983f-44c7-ba9f-d3f27b728284}}
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6dc560505bf07ded3a7e8ade57523aa6
The training and attacks performed were similar to those in MNIST and CIFAR10. Table REF shows the results obtained without regularization, with adversarial training, and our proposed method. There were no analysis on this data set in the Input Gradient Regularization {{cite:2dadd503331d3bafffaa93b69f1dede1d27a7607}} ...
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116ea67eb1fce53ed32a4ae83510f0b1
In our model, we have two free parameters, {{formula:314b0c2b-cbd8-46ca-ad18-da2e7ad2acaf}} and {{formula:88d7db3a-21a9-43e4-bf91-2940a148b49f}} . {{formula:d877a472-8559-4985-8c31-fdd2f5aec11d}} is a global factor and its value does not affect the shape of the {{formula:2603ef17-72f4-4ba6-87ca-e640b23647cd}} invari...
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05e72bf649b782bbd30fa14316ad0169
There has been a great deal of activity recently regarding correlation functions of local operators in planar {{formula:85fcb86d-4646-4f54-894e-204c765aa2e0}} SYM and in its holographic dual, IIB superstring theory in {{formula:6c78a5c1-fea2-4c49-8d98-610dbf8dcb81}} . On the one hand, building on Mellin space techniqu...
i
dba215a4e98609818f90cbfc395705fc
The statistical uncertainties of Eqs. (REF ) and (REF ) have been obtained through bootstraping, while the direct substitutions of expectation values would yield to 3.3 of gain over the shot-noise limit {{formula:816dad7a-dc85-408a-9bda-7deac4d5422f}} . Based on Eq. (REF ), this proves the presence of metrologically us...
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f8e181a67e47baf0ec3dfcdf6bfd110f
where {{formula:25d2db35-d1fd-40c9-8d1f-fcd6e40ebcab}} is either a uniqueness or a minimal function. Furthermore, given a time-independent barrier function candidate {{formula:dfc8d01c-8155-421d-b60e-96d73c2d5d85}} , according to {{cite:6ad8080e832438e205d9a44fcb56b26ca86f13a3}}, {{cite:bcaa74d894d826cf558a9d7478311a3...
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13254f9ce85bcdd421c58fea5e5b68a6
Traditionally there exist two different pictures on random fields in space-time, one results in space and time being treated separately {{cite:0a80652b0f1530adb98ef68ec89ab8c2e07ac2b7}}, {{cite:8406b46b98164a38d1dc914cda8780a9f8d75cb0}}, while the other models the field as defined over a single space, namely space-time...
i
40bf00293741f56ffd494bc6fd485029
The Momentum Contrast (MoCo) {{cite:407dfeb7038334ac16065838d9e0f4646725d09e}} is a memory-based contrastive learning model. While the SimCLR {{cite:dd9bebd64129e0149218f0f6e56f6cf0b81e4062}} treats other instances over a batch as negatives, the MoCo instead uses a memory bank to store negatives queued from the past it...
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985c048ec2315fadcd15ac79b7d51231
In the quantitative experiments, all compared methods generate diverse images except Pix2PixHD {{cite:6ee24f5ba11136528eadb5eb83b2fbfea813cbb1}} which does not support diverse generation. Table REF shows experimental results in FID, SWD and LPIPS. It can be observed that IQ-VAE outperforms all compared methods across ...
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We believe that our model should prove useful help in navigating data collected on complex networks. There are still ongoing discussions on how the claimed scale-free networks must be characterized {{cite:b129fdf766585dcaf56a28c33d12186d77a78e88}}, {{cite:e9512d74194249ba47e02770c1bf1ffda63df1e9}}, {{cite:b5b5cebb442b2...
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It means negative value of {{formula:496c75ed-0acd-4b96-b5f5-1a11db472c5b}} microcanonical corrections {{cite:963fffa6bfe2b7ed9f97ae09a2ee979e93e908c5}}, {{cite:6a6da970cdd7f9fd133e5dd681983fbb47652f8e}}, {{cite:0c77c850692223f928747396b0d21cb9a3ee2fe7}}, {{cite:c287c817d1887190e7eaa6f705bef75982457c82}}, {{cite:70993...
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fb72ad88ca4c83854613c6587937bebb
Although both models should produce the same output {{formula:1462107f-8ebd-4362-bb81-e1af8572b230}} , we use {{formula:e16e99aa-6688-41fa-8618-b19d1d5d1025}} and {{formula:125d9afb-6fed-49a9-a6bb-33c001cee872}} to differentiate their outputs. To train both models at the same time without introducing extra parameters...
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Table REF summarises the comparative study in terms of their theoretical and computational properties. Denoting by {{formula:cb466a45-6d57-4d00-8d1f-a22d3ae98dfd}} the size of change between the {{formula:f65bfaf1-eaed-4f37-8114-5cb9b63d7179}} -th and the {{formula:0e70890d-b767-4359-8d90-942d5b4435f8}} -th segments ...
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Results are demonstrated on the IAM, RIMES, and NIST offline handwritten datasets. The IAM {{cite:5f3fc38e2d00696d6832755bfade1189c4de6c76}} dataset contains 115,320 English words, mostly cursive, by 500 authors. This dataset includes training, validation, and test splits, where an author contributing to a training set...
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Another class of approaches apply machine learning to model predictive control {{cite:be93bd3394fe63064fc73082232b9169744deda1}}, {{cite:54867263c786a0b89d63ae273479041a16a73366}}, {{cite:f00fcaf243a0c36f2159c35cc5df29b6bd18ab69}}. These approaches however either use simple learned primitives for modelling dynamics, or...
i
b1811fb4bad674051e35d24ca0d15e2c
Universal conformal symmetry, requiring local Weyl scaling covariance{{cite:80a85595125a01f8b89a63701d2e45263319d426}}, {{cite:99d13d90db08b3de94546966109b6aa3f29ff5d2}}, {{cite:5a94256f5c0fac52870573015b334d03375e68a3}} of all elementary physical fields {{cite:a5b33b015407984a7e9dfaff4269676780623859}}, offers a parad...
i
b3e9fd6c0f3714efa8346643d2356643
While an all-multiplicity proof could be found using the methods employed in {{cite:6b61560a73ecff5fe8cd9fa96f59e5ef59821076}}, which relied on position space Feynman rules, they soon become cumbersome. From our experience with the tree-level amplitudes in the usual plane wave basis we know that there should be more co...
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79ccb1953c6276f0b9082dc59abc53b2
Similarly, Figure REF shows the class-wise vulnerability of the EWC online {{cite:29d78f2d1cc7634fc207c0bc4b4d7a4efbb61dd4}} against the FGSM, PGD, and CW {{cite:cceff7ffb4d3b29c215d08507950b6a5e69f61c6}}, {{cite:c3fccf0ff9253b92c42d2bf0bfc9f109ecfd1a1a}}, {{cite:3519d381d3816b9d84b2d65e2bb04bb34bae094c}} adversarial ...
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However, given the limited availability of resources on many devices, performing FL on such devices is impractical due to increased training times {{cite:c2def3048e210e223191322bce6cbfe7e2145f72}}. One approach is to leverage the computational resources offered by edge servers (located at the edge of the network) for t...
i
64e40728e9d6852e866f2f626892965d
While not mentioned explicitly, our evaluation toolkit is also useful for evaluating matching methods {{cite:08deae46f36217cf17eb4396842d994f126f9f15}}. Matching allows the estimation of counterfactual outcomes and is therefore applicable for outcome evaluation. It can also be considered an integer-weighting algorithm ...
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Background. The transformer model {{cite:431fd494742f3627971c33b53ea2f2addb8505e6}} has revolutionized deep learning research {{cite:fa49e5ee46995812de5c40ab88b396ea52277324}}, {{cite:1983be73cbe3a4017c7fa76e37ed60c784087d47}}, {{cite:bdcf25c38b33ada086b5517ba44edb9ea89ccae8}}, {{cite:4758ddc2f71ad3005420960fddbd92d20e...
i
5ff99858fb15bb438723dcd96cd5baaf
In contrast to ParCNetV1 which applies large kernel convolutions only on later stage CNN blocks, we unify the block design by mixing large kernel convolutions with local depth-wise convolutions in all the blocks. Both types of convolutions are operated on a fraction of the input feature map channels. The exact portion ...
i
5f5cb807c1be60a655d54db1809eebaa
After initially validating our models on several toy datasets (see Appendix ), we focus the bulk of our evaluation on four RL tasks. As running experiments with people is costly, we use the standard RM approach of generating synthetic preference data (here trajectory return labels) using ground-truth oracle reward func...
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We started our simulations with a burned central region which, in size, corresponds to about 1 to 2 seconds after the thermonuclear runaway in models of central ignition. This is the onset of RT in models with central ignition {{cite:c88c66a74f33804b4deda7cfb659df1025a8904f}}, {{cite:1e6363eaee36027ff7e4188f4f7ef83a5d8...
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With fully error-corrected quantum computers it becomes feasible to define kernels with a strong bias that do not require exponentially many measurements. An example of this kind was recently presented by {{cite:b769cb1b7dc8fe221e472a765647ea75430be5f6}}: Here one knows that the target function is extremely simple afte...
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In future work, we plan to extend this work to the setting of multiple variable groups similar to {{cite:b1ced0da8c4af0bed81426bb4c8aa04b83e7608c}} as well as to use partial dimension reduction techniques. We also plan to relax the i.i.d. assumption to better deal with autocorrelations following {{cite:7ac40d2aa97a4d23...
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4467038cb3c125f2dd0c692dbe39357c
The measurement is carried out in a wider {{formula:7293a296-454b-489d-9803-ba79a32f72e4}} range with respect to previous measurements in pp collisions {{cite:dff053cdac1caeb4a193dbe7af2e8fbc37c8c415}}, {{cite:f504105074950a863f508e27d0d0e5e492a12fc1}}, the {{formula:934eafa4-102a-4f98-9cdf-c5d096d19964}} reach being...
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Since FST is intended for post- and pre-processing, comparisons to other post- and pre-processing methods are most natural as they accommodate situations a)–c) in Section . For post-processing, we have chosen {{cite:21aed915a28406fd3632c635f2c871d5a05483ab}} (HPS) and the reject option method of {{cite:1a21ce2f99e3f14f...
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Experimental observation of the space and time-resolved plasma emission based on Phase Resolved Optical Emission Spectroscopy (PROES) {{cite:0f4202b35f060a6259f32d5c49a167688267e74d}}, {{cite:3311636f171946fea274d677c4724786a09c0ef6}}, {{cite:2c697c4e19b6d1ef0bfc10d3fb3b1a0310b52d84}} provides invaluable information on...
i
1a5b922a9dcae174f225eaffae3b8b77
Experimental set-up. Our colloidal model system consists of silica beads of diameter {{formula:49d1d8bc-8045-4219-bddc-079a2450eb6b}} (Sigma aldrich, 44054) suspended in a {{formula:289fd186-40d9-4263-bfd1-49be6dd2210c}} solution of hydrogen peroxide {{formula:e03ed85e-eede-46d4-b648-e3dce8b31b9a}} in deionized wate...
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SHAP.   Lundberg and Lee {{cite:7ada4801ca775943f515f11ad1bbe0823094bd28}} present a framework of Shapley additive explanations (SHAP). This framework builds on Shapley regression values, inspired by the game theoretic concept of Shapley values {{cite:5311096384ed67913d627643e466174b8cde7577}}. For the {{formula:00acc3...
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a54d555b1fa13f663c70c9ab1abc8367
Another limitation of our approach is that, because we only considered the effect of intervening on one treatment at a time, we cannot directly address how to select combinations of medications that would be expected to optimize the probability of treatment success. Previous work evaluated the causal contrasts between ...
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a3f24d1d2114e61d0eb5ab0d9a5514fe
Li et al. {{cite:6f0168d0f9a5d4559fe1295af48c84b61817d06a}} proposed a Faster-RCNN {{cite:cf7c0790b1225874abe418aa20c6219308891edf}} based convolutional detection method and reported a performance of 0.93 F1 score in the TableBank dataset. They have used Resnet-101 and Resnet-152 very deep neural networks as feature ex...
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9b9634ef3e68c98bbc1a960db2b23acb
Denoising Diffusion Probabilistic Models (DDPMs) {{cite:c335059ab0d5defdacd9eae36d8de2428a4cb1cf}} are a class of generative models that have received growing attention in recent years, due to their promising results in both unconditional and conditional generation tasks, such as image generation {{cite:455171601491d0d...
i
3a2c457f32b6849250b1007a0c3b6682
The term {{formula:cd3ee48f-17d7-44e7-a0ed-375b1f58a24e}} is the usual single relaxation time Bhatnagar–Gross–Krook collisional operator {{cite:5d40f8237b5bdfc91e776c6d85bf96eb70b976c0}} {{formula:581f2671-16d9-4569-b9f2-6528d52fc96a}}
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FGSM {{cite:576cc15bc25ea88ce86ace5fd75d91e5710bfbef}} perturbs natural example {{formula:784806b6-c84d-4520-a4d8-65a6a9df9178}} for one step with step size {{formula:e7b6a5e9-ca5d-443a-bbe3-b7d3ad81fe72}} along the gradient direction: {{formula:56952cf9-8654-49b0-9b55-18a61fc6f724}}
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We implement and compare several PINN-based machine learning approaches. These become very attractive numerical schemes for PDEs as they are very flexible when tasked with solving parameter identification tasks. Something that is notoriously difficult in the context of finite element methods as for these schemes a care...
i
5e3863b9f31dbcecffc55e477c045264
Given the wide popularity of {{formula:d88966a2-bb0d-4e88-8426-bda60947e9a2}} -AT, in this paper, we propose SNAP as an augmentation that generalizes the effectiveness of {{formula:04c24927-e412-4edf-8cd2-5cf597a511ff}} -AT to the union of {{formula:5c311bcb-6f58-4804-a38d-02dda7d8126e}} perturbations. SNAP's strength...
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To do that, first let us observe the fact (van der Vaart and Wellner {{formula:fc9c49bf-6236-4305-be63-223c767e801c}} {{cite:34b5fccb4fea991606dd7f65223f2eea3c37dd0c}}) that any appropriately measurable Vapnik-{{formula:bbb29e85-2325-44b0-8f5f-5b1a1696655c}} ervonenkis(VC) class is Glivenko-Cantelli(GC) provided its e...
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(i) From {{formula:c68475a4-4fbe-447d-bc22-61ff6cdb03a5}} and {{cite:6f18bc683b1447536ec5fee1ffe983d8ddc96ede}}, it follows that there exists {{formula:920f2300-0c52-45ce-8440-fb48c7f173fa}} such that {{formula:0b43e5f7-c557-48d0-949a-a58114782829}} for all {{formula:3a40cbd6-3f18-4650-9d46-5a07bdd58d55}} Since {{f...
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For implementing NGP, we used different neural network architectures such as self-size estimating feed-forward network (SSFN) {{cite:995d5035ec70485c8cd2ad85b54e8fe9280c16b3}}, multilayer perceptron (MLP) {{cite:2d9906508c7685e7e1babec8ba3bc6f7cd2f0fb7}}, and CNN to show the universality of NGP. We used a single layer ...
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32d85a9696577710cf236ca873d05532
The optimization objective in eq:objswmtl is nonconvex with biconvex terms in inequality constraints. Moreover, there will be a huge number of constraints when the numbers of tasks and features are huge. There is no existing efficient methods that can handle this challenging new problem with theoretical guarantee. Alth...
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1938391aaf8eecb908adc56270761747
Ethical considerations. SLIP faces all of the same ethical considerations as CLIP, both in terms of the harmful applications it may enable, as well as the potential for amplifying and perpetuating problematic behavior in the real world. CLIP's ability to leverage noisy and minimally filtered data scraped from the open ...
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a537113ed3142d877239a765d0bcfad4
In this work, we were able to write the full anisotropic metric as a function of these critical exponents, which correspond to the respective scalings of each coordinate of the holographic dual field theory, together with a flowing structure with respect to the {{formula:b04bd305-e6c2-49ac-8c78-ae95809ca3e2}} paramete...
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88f7b18719df477338b54151ae06beaa
In addition, the strength of the N-Jet representation lies in that it can learn filter sizes, and thus the receptive field size, during training. However, recent work has demonstrated that the effective receptive field (eRF) size of networks can be considerably smaller than what would be expected from the kernel size {...
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70ae6171aab362a6b32ffebd4cbeec21
Domain independent fusion. Inspired by Wang et al {{cite:582338c630879b8ae1fd7ecc79d953b7bf84b3c7}}'s work on bias mitigation, we perform domain independent training, where we treat the real and synthetic output space as separate. To do so, we create a new set of classes that contains tokens from the synthetic set only...
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374d0e472934b1cc814c87fb4f5e1b7f
In the end, we compare the performance of our proposed method with the state-of-the-art methods {{cite:a4f72552aed0440df9b7a366be09212e5e94fc0b}}, {{cite:c3f0d7d7f108e7158663193a656282d710a46993}}. From Table REF , the baseline model has worse performance than the state-of-the-art methods but it achieves a competitive ...
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acb0e1938273ee2430bcb5b3c7fc1a6d
as subsets of {{formula:13565b40-a62e-40b4-a4df-00e7f972bd2b}} . Our approximation analysis considers the above bounded hyper-sphere determined by {{formula:bd4ff23f-7b44-4579-8f7f-92006d96bf4e}} instead of {{formula:f70e7bbf-626b-4cb1-b713-574ab10094da}} used in problem (REF ). Following {{cite:a42b7ea30ebce82d52ae7...
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a17984af4c63637db1041270255b9f8d
Asymmetric Architecture    Another line of work exploits an asymmetric architecture {{cite:a3c9faab7e7f288f0ee88579464a3c3c142a7daf}}, {{cite:7c4f77845c54f5c9697a29c4ad6bea7b9439199d}}, {{cite:00705b4d4a24c561cf9e2a018c75a5645947bf1b}}, where the high-to-low process is heavy and the low-to-high process is light. {{cite...
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In this section we present the results of the forecasted sensitivities using the methods and experiments detailed in Sec. . These are shown in the {{formula:f85c0b43-1ef0-45c2-bf97-55b35b556e0d}} plane for DM masses {{formula:cd186304-b237-4bfc-8c1a-6d5cf380125a}} GeV. This region is interesting because ample areas a...
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6b10309ca96982de5f2f904d72f1fa22