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Although, surrogate gradient learning is one of the best direct learning algorithms for spiking neural networks {{cite:4e9cd9d8a77a77c0fefdfb44965650afe339657c}}, but it suffers from the challenges of backpropagation through time, especially for longer simulation times, including vanishing/exploding gradients and high ...
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Given such a setting, in this paper, we are interested in addressing two questions: given a large, unlabelled clinical database, (1) how do we extract attribute information from such unlabelled instances? and (2) how do we reliably search for and retrieve relevant instances? To address the former, the task of clusterin...
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141e1f1d007ba36b6efaaaecb4b23847
We conduct our experiment on a real-world dataset CIFAR10{{cite:ba1c9fa1f32223dc80e52987d3ad79f98796c534}}. The CIFAR10 dataset consists of 60,000 images in 10 classes, including 50,000 training images and 10,000 test images. Learning on the image dataset simulates the real edge computing scenarios such as traffic flow...
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The algorithms we consider are deterministic. An interesting direction for future research is to adapt SMR synchronizers to emulate asynchronous rounds, as required by randomized consensus algorithms {{cite:bb76fe20c84a611cb08abb6545231e560335c56d}}, {{cite:3613527891319d77b58e63835a700056dea31600}}, {{cite:709fa285f62...
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These images are then assessed by a scorer. Specifically, the fitness of an image is calculated by either (a) the loss against a specific ImageNet class under a trained MobileNetV3 model {{cite:f085fc63597cb63bda7686190126fbbea25e050a}}, or (b) the similarity to a caption under the CLIP model {{cite:2e80092c357ad30056b...
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We compare the proposed FL scheme with the FL FDMA scheme with equal bandwidth {{formula:32a39262-f6a3-42e7-9d5b-1b848f173928}} (labelled as `EB-FDMA'), the FL FDMA scheme with fixed local accuracy {{formula:6677f708-8a26-4f52-aa4a-b647361e774c}} (labelled as `FE-FDMA'), and the FL time division multiple access (TDMA...
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Next, Theorem REF gives a lower Lipschitz bound for max filter banks when {{formula:3d89ac1a-871a-44e2-8648-67e31a2d93fa}} is finite. Furthermore, by Lemma REF , this bound is optimal for several choices of {{formula:13396456-d04d-404e-807e-00937ef23d8b}} . It would be interesting to determine a lower Lipschitz bound...
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Recent developments show that, Transformer {{cite:279e33a441d30c3c39b93fe47d3655846c565716}} based pre-trained language models like BERT {{cite:02a3e949e71fa76306c9d2969795b711ae99b6e2}}, RoBERTa {{cite:b793e514b16da38109b5c0e8cebe2ec7d3ab3db8}}, ALBERT {{cite:65a4ca3e96dae13c033fe60d5d98d2133362f41f}}, and DeBERTa {{c...
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We are interested in solving the nonlinear system of equations. The nonlinear complementarity problem, is identified as an important mathematical programming problem can be converted into nonlinear system of equations.The idea of nonlinear complementarity problem is based on the concept of linear complementarity proble...
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Systems are compared in terms of BLEU {{cite:4256c75cdd9db8ddbc80c8759b2db4f54c472e52}} (as implemented in multi-bleu.perl A script from the Moses SMT toolkithttp://www.statmt.org/moses) and TER {{cite:ed5158c3ae432897e0cc302fa50442bac9c55524}} scores, on the single references of the official IWSLT test sets.
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Several of our experimental outcomes were unexpected and need additional investigation. Our results for the convolutional model were initially very promising, so why, at a high dimensionality did our attempt to regularize the network fail, when it succeeded at a low dimensionality? While one might assume that dropout w...
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In this section, we summarize our experimental analysis, resulting from more than 500 experiments. In our experiments, we primarily explore the effect of temporal misalignment on GPT2 {{cite:5f22cc014e77603d8a89891f282935750d6b2021}}, a PLM often used for generation.In our preliminary results, we found that BERT, RoBER...
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In this paper, we build a novel pessimism-based Bayesian learning framework for offline optimal DTRs. We propose to combine the pessimism principle with Thompson sampling and Bayesian machine learning to optimize the degree of pessimism. Theoretically, we derive the upper bound for the regret of the proposed method and...
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The recent strategies of ameliorating CNN efficiency mostly focus on compressing models and accelerating inference without significantly sacrificing their accuracy performance. Among adopted methods, progressive pruning appears to be an outstanding one where a deep neural net is trained, then pruned, and then fine tune...
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In the remainder of this chapter, we categorize meta-learning techniques based on the type of meta-data they leverage, from the most general to the most task-specific. First, in Section , we discuss how to learn purely from model evaluations. These techniques can be used to recommend generally useful configurations and...
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c1849cf3888c1102fe8f3fa5f9c9855e
CE is crucial for a number of downstream applications, including, e.g., language understanding, ontology population, semantic search, and question answering; it is also the key to entity linking {{cite:b7fdd573b7813a877a7e0fd93fc252d3b68bbb04}}. In generic open domain subject-neutral discourse across different (potenti...
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In the literature, the simple Gradient {{cite:d36d5d9056f9b2783ad7bfdd9986aa6fabda3cb3}} method often yields noisy saliency maps {{cite:e22c9f627fd54d0f12e7bda73ce2ce657141f658}}, {{cite:eb208579d820ae88903ca5e3d5e8eb5c87985c14}}, {{cite:8a39e84c5f9422470010b7a9e7b6e03e297c4b2e}} on vanilla CNNs and is thus regarded as...
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These issues motivated recent efforts in the nonlinear filtering literature to develop numerical algorithms based on a controlled system of interacting particles to approximate the posterior distribution {{cite:1626dea15345bd1e822e18b814e4ec3d8c6498cd}}, {{cite:e2cf31824e3f7643f2b63b07b48304bf0f7de8bb}}, {{cite:e8fb917...
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be80e185f6be82fc7f01fb70df1a9906
Combining aforementioned observations, we concluded that the utilization of deeper layers are a suitable estimation of EMC. It can be easily calculated, which makes it extremely useful in practice. Finally, we also provide the empirical proof that performing rolling back on final layers does in fact allow models to rev...
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Algorithmic information theory has been used in causal modeling(see e.g. {{cite:3283b6b083a09fc8ea4165ff434a23ee621ffdef}}).It is also worth to mention that, broadly speaking, the information accounts of causality can also facilitate interpretation of existing widely used causal propositions. For example, regarding bac...
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Some important aspects concerning the inversion formula remain to be clarified. Firstly, we did not place an upper bound on {{formula:622a0b70-fe7e-4878-959b-eafc2eeef833}} . Theories whose correlators are not polynomially bounded in the asymptotic region mentioned earlier may not display Regge trajectories. It would b...
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Many systematic studies of dark clouds and low-mass protostellar cores have shown the HNC/HCN ratio to be close to unity {{cite:cccf913c192e438348e62745a71b13d31a58e42e}}, {{cite:f86af0845a2a186fc37ab3ca6026d1f2a7342041}}, {{cite:dc9c2aa928006192d58d68547c745995d9f58d62}}. No difference is observed between the values m...
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Table IV shows the result of our model for sentiment classification against other models. We compare our model performance with the approaches of {{cite:03088432ee2d626baa295f073720ac5040dea03c}}{{cite:6e7258e597f48c433d5867bf974962ffd02978f0}} on STS Corpus. {{cite:03088432ee2d626baa295f073720ac5040dea03c}} reported t...
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where Please see Appendix: for a derivation using the loop number density obtained from the Velocity-dependent One-Scale (VOS) model{{cite:51943941f842ce865dbc85492edcd7dcf2b9e03a}}, {{cite:63aa375b6537091ba981c08347e12a77ab318006}}, {{cite:4f5ace063d6308507e708bba3b8283b6553cf559}}. {{formula:271a8004-ca2b-438c-ab53-1...
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The above corollary can be viewed as an extension of Theorem 1 in {{cite:7b2bced6bf3daa51cf9115df21d3e99f9addf06e}}, which established that {{formula:46c5a5ef-1fef-49cd-a2b4-53acb1628203}} when {{formula:02eeea77-0b0a-401b-bb30-9a3d9629ce5d}} is equally spaced over a bounded interval {{formula:2681c7ad-ca45-456c-98d6...
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Towards this end, we proposed an explainable machine learning model to predict driver fatigue using XGBoost (eXtreme Gradient Boosting) {{cite:b3da41c4a689f04128944a40963640699e42fd21}} and SHAP (SHapley Additive exPlanations) {{cite:7dac22b7367ac263ee9b09a5ffd3ce217119d8f8}}, {{cite:643d1cc83bf773518904fe37f733b3a49ab...
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models accuracies drop on {{formula:0437e914-d41a-49d5-9ba2-d2f3a24590ec}}  and {{formula:fe771985-0da5-4a40-85a9-997880981409}} , suggesting that all three results together should be used to characterize the model, and not any single one of them. All our models are significantly worse than the human performance ({{f...
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Y. Lin et al. suggest a novel multi-task framework called Seg4Reg to generate precise spinal curvature estimation. This new approach proposes an automated method for the prediction of Cobb angles from X-ray scans. Its process contains two deep neural networks respectively concentrating on segmentation and regression ( ...
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[leftmargin=] Temperature {{cite:b3a27fc9b31e48384898b518f1c16fb4cdef1869}}: control the randomness of predictions by dividing the logits by t before applying softmax Top-k {{cite:143a0e3c2941c9519d1d5224088235d36460896d}}: filter the k most likely next words and redistribute the probability mass Top-p {{cite:f19986c...
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In addition, spacecraft such as Solar Orbiter may also be able to reveal this newly identified sub-inertial range in magnetic energy spectra through remote sensing observations. Recently, Extreme Ultraviolet Imager (EUI) onboard Solar Orbiter observed transient small-scale brightenings prevalent in the corona of the qu...
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We employ a deep neural network for the experiments in morphological inflection. This consists of an attentional sequence-to-sequence model, as described in {{cite:1974c20171e41ca0fa3da4c3f2f8201fcb76bce9}}.Available at https://github.com/bjerva/sigmorphon2017.In the SIGMORPHON shared task, this team placed as the 4th ...
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A general GNN framework mainly consists of two key steps: neighborhood aggregation and feature transformation. In neighborhood aggregation, a given node first aggregates (such as sum, mean and pooling) its neighbors, followed by a linear mapping or a multi-layer perceptrons (MLPs) in the feature transformation step to ...
i
80e7c77fea8fe211cc49e9bd1061849e
Our approach is to present briefly the single-record SSI data equation and approach in Section  before posing the multi-record formulation in Section , drawing on their similarity. This multiple-segment algorithm is an extension of that from {{cite:1025de44370e6c1bb4b6f987d4bb6225859db3c2}}, {{cite:de486d5a939bc89c3fd6...
i
1d1a43531f7c699362c8ed76638061e7
By Table REF , the tangential circle packing is a special case of Thurston's circle packing and Thurston's circle packing is a special case of inversive distance circle packing. For simplicity, we unify all these three types of circle packings as inversive distance circle packing in the following. By Table REF again, ...
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NGC 5322 is the foremost member of a galaxy group with velocity dispersion of 169 km s{{formula:3bde80d3-0b47-4322-9f0c-75f0f1de379f}} with 21 members {{cite:3e896896b346dcdc672ab2779ca4b2f579f4cb9e}}. In a study of several galaxy groups using XMM-Newton, {{cite:16e8b2ee7e5994e40c3fd641967ef68c09756faf}} found that NG...
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7737b98b8b5b8a15807ca7f8172ca80c
Moving object segmentation (MOS) is a fundamental task for autonomous vehicles as it separates the actually moving objects such as driving cars and pedestrians from static or non-moving objects such as buildings, parked cars, etc. This is an important processing step needed in many applications, such as predicting the ...
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837d475487a7316e0b36e43730d071d7
In the following we describe in more detail how the {{formula:8790779b-f5c0-44d3-b6a2-a1a00b803781}} SCF calculations and the linear-response TDDFT calculations are carried out. For all molecules, calculations were carried out for the relaxed structure obtained using the SCAN functional with the default tight basis set...
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Numerical simulations of the collapse of a rotating, self-gravitating, isolated cloud cores, began to be performed many years ago; see {{cite:d57ca0b63d865db988aa9ca23e40e8b3f0337106}}, {{cite:e8f1695f717d6e1ef30df7a7283cbab0a68b4c24}}. One of the classic models of binary formation is based on the collapse of a rotatin...
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19a8d96bae546b8bdd9b481ca8ed8355
This inducing-point approach is initially proposed in the deterministic training conditional (DTC) approximation {{cite:04d81d5ce5d7aac5b92791179a46bdd9ee48cc5c}}, and then it has been fully studied in several works. {{cite:0701af71a6d645be5d1fe1a257084711911727b0}} provides a unifying view for the approximation of GP ...
i
32632b861e36c0dd3f863ec51fa83528
For fairness, we compare DirectCopy to the gradient-based baseline which uses the same-sized linear predictor as ours. At 100-epoch, this baseline achieves 68.6 top-1 accuracy, which is already significantly higher than BYOL with two-layer predictors reported in the literature (e.g., {{cite:ec283fd3abd2cfc154a0a9182efe...
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One challenge of leveraging interpretable machine learning techniques is that current interpretable models are usually developed for supervised learning models {{cite:e36e9589dea82a9fa15eeda3ee7854776580fb33}}. For the counterfactual explanation approach, a classifier is usually trained to distinguish the original samp...
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d3bbe87d86dd1d32cba0568a5127db98
Repeated data induces a strong double-descent phenomenon {{cite:a7b3b88b0d450ef6c9f275aaf7de6d0ea6339db5}}, {{cite:e20c953d1872c5b7b6a64646714480a99acee48d}}, {{cite:6a36be747a301e4dbe1b73c1e9f216a09753d2f1}}, in which data repeated a few times does not cause much damage to language model performance, data repeated ve...
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Data Set Description. We used Pushshift {{cite:7ce7c43ab1a6673061e2cb3b005b5f6eaec02775}} to extract Reddit data. In particular, we extracted all submissions that contained the word “Cuba” from 07/07/2021 to 07/17/2021, covering a few days before the protests started on July 11th and the first week of the protests, all...
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The proposed architecture is described in fig:architecture which is based on TransTrack {{cite:a6f9854cde37893d27769568d3d9ba0d0dcfe341}} with several improvements to reduce the computational complexity and model size. On a high-level, we generate a set of bounding boxes per objects of interests in each frame. These bo...
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In recent years, on-policy methods have also considered non-parametric target policies obtained by solving policy optimization problems similar to those used in TRPO and PPO. These target policies are then projected back onto the space of parameterized policies. {{cite:ea9df1c2b649078299e965bed3a7953a123d3b04}} conside...
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a4d6b1311a274a2c52721460f36bfa2a
The GA is now amongst several other very large LSS discoveries with sizes that exceed the theoretical upper-limit scale of homogeneity of {{cite:692c7fa1370256dcce0e8af9cb01943537b40d43}}. In Table REF , we listed some of the very large LSSs, and also some of the reported CMB anomalies. In standard cosmology we expect ...
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177c7e62c4c7a60ab05396b3233ee0c1
Is there any advantage of one approach over the other? Our experiments show that for a deep network of the same size, invariant representation learning can be just as effective (Tab. REF ). However, invariant learning is conceptually simpler and scales better than equivariance approaches, as the latter maintains high-r...
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Attention Mechanisms. To address this problem, we add attention mechanisms (AM) into our network. AM was first applied to NLP problem, and then it has achieved great success in CNNs recently, which can help networks to focus on key objects and take advantage of contextual information {{cite:ef63b246db367f1398a10030f22...
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As shown in Table REF , PNODE outperforms all of our baselines by atleast 27%, 48%, 70% and 5% on clean, FGSM, PGD and SMIA attacks respectively for BCV in-domain Liver setting. While PNODE provides a better defense against the adversarial attacks, it also outperforms the baselines for clean samples. This indicates tha...
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The enhanced impact flux by ejected particles may persist on short time scales. Particles most likely to impact Gault have intersection speeds below 0.2 km s{{formula:683a24e1-f2a9-46c5-8d1a-17d6257e7959}} , regardless of when they are ejected. This encounter speed of a single particle may not be high enough to induce ...
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As we mentioned before, a larger batch size in architecture searching phrase is prone to produce a better result. Our method achieves 2.81% test error on CIFAR10 with the same batch size as DARTS and GDAS (B=64). We obtain 2.61% with same batch size as P-DARTS {{cite:6d8f79821cd1534f7b917cdd402dd805f6749884}} (B=96). O...
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{{formula:c646e9e9-05d7-4063-92f3-3c517f44b6b7}}   //Assign rank using non-dominated sorting {{cite:8a87a5733554b3308bca59ba83f0c122f490e1a0}}.
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When analysing a complex probability distribution or facing an unsolvable integration problem, as in most of Bayesian inference, Monte Carlo methods on a large variety of solutions, mostly based on the ability to simulate a sequence of random variables and subsequently call for the law of large numbers. Techniques base...
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In comparison, our results in the same order are 2.8 %, 2.8%, 3.3%, 1.2%, 5.9%, 4.5%. We note that these results are in the same ballpark as those of {{cite:8d3821a0d27b01fb2f300010d323b750f77a39c6}}, although there are differences due to the detailed assumptions of each setting.
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The effects of rotation and enhanced diffusion were studied by {{cite:4862d49a0444c69341c18527ca44dcd05e4389f0}}, where the value of multiplier ({{formula:27b012f8-52e6-4226-9942-7fc62869bf0b}} ) was larger than or equal to {{formula:af671ad1-22ee-4d7a-8463-6d9cf07480c3}} and OPAL opacity tables constructed in accorda...
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More importantly, we propose hydrodynamic entropy to quantify disorder in Euler turbulence. We observe that the hydrodynamic entropy of 3D Euler turbulence increases monotonically with time, whereas it decreases for 2D Euler turbulence. Thus, 2D Euler turbulence is a unique isolated system that exhibits evolution form ...
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For VAEs, neither data for the “zero-shot” category nor for the other categories are (to the knowlege of the authors) available for the standard benchmarks we used. A reason may be that (like for the BDGAN) very intricate DNNs as well as sophisticated sampling and training methods are required to be competitive. Experi...
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We envisage that the approaches developed here could be useful for a variety of other problems. The thinning algorithm by Lewis {{cite:fc44abd09daab954e0790185f1d4ffe267b36033}} is somewhat undervalued in our opinion and can be modified for systems beyond those involving single-species Poisson processes for which it wa...
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Inspired by Proposition REF , we aim to estimate the cost function in (REF ) and then minimize it over the shrinkage factors. This may be achieved using different strategies, e.g., {{cite:006b772170218c030888d1d2e2b326004d59739e}}. In this paper, we apply the LOOCV strategy {{cite:cfb76cd32e799f71fb2898277152550c664d6e...
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To remove Martian dust storms with deep learning, the first key step is to synthesize dusty images from clean ones to supervise the learning process. In particular, the data synthesis process must be fully controllable without changing any other image content except adding dust storms, which prevent us from using unsup...
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The {{formula:21252b42-8ccd-4b67-b3c9-d4212f5e7be3}} Minkowski problem. The {{formula:21eb03cc-1178-47b5-8ed0-770c654f2dc6}} Minkowski problem is one of the central problems in contemporary convex geometric analysis. The classical Minkowski problem states that: given a finite Borel measure {{formula:20ca1f9e-9974-463...
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Simple Baselines: We construct simple baseline classifiers {{cite:0459be861e49e057e1ca42b1b4d65df18c8fa443}}: Logistic Regression (LR) and Support Vector Machines (SVM). The input to these models are constructed by aggregating the 300-dimensional word embeddings of words in each review. CNN: A standard Convolutional ...
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We note that the performance of all methods can be further improved using additional structural information as discussed in {{cite:a42c077eaf82344fd08115da7a82225081cffdf5}} and falsification techniques in training as in {{cite:928a532e63e8e45f79d50b0d3382c362d4e9d21b}}. We leave these improvements to future investigat...
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To the best of our knowledge, this work is the first of its type to comprehensively cover the most popular deep learning methods in NLP research today We intend to update this article with time as and when significant advances are proposed and used by the community. The work by {{cite:8cbe5e281aa4efff214fcd82d4c04ba068...
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Segmentation CNN: The segmentation CNN ({{formula:4714c26b-c76c-4904-9162-6cf1355b57b8}} ) used is an encoder-decoder like architecture {{cite:c9dfbf22e567de6343b30138ab16a297128530fe}} with the encoder having layer definitions similar to that of VGG11 {{cite:af16b45dc77ff2a7934d06a60ab3609698886503}}. Concatenation of...
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First of all, the case {{formula:7dde837e-059a-4983-be66-647299f3707d}} is treated (together with the unlabelled case) in {{cite:00d34b4fb471a84c16855cf36e9767e3f0c7d58b}}. There it is shown that in the subexponential setting both {{formula:c1c3854f-5b1d-47be-86d8-6b95e78ecf4c}} and {{formula:8e3a7181-1b87-40d9-8fa1-...
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In DynLab, each rigid body (object) is now semantically meaningful, so apart from the 4 baseline methods from subsec:exp:sapien, we additionally compare to the following two alternatives: (5) InstSeg (Instance Segmentation): We take the state-of-the-art indoor semantic instance module PointGroup {{cite:ed6c27f2230016f...
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In this paper we have focused on the simplest case of Schwarzschild-AdS black holes, but orbits should exist in more general situations as well. It would be interesting to generalize our analysis to other gravitational solutions, such as charged, rotating, extremal, and supersymmetric black holes. On the boundary, thi...
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Linear Multi-Step (LMS). These methods rely on the approximations generated at the past {{formula:02193953-9a9f-41b2-b95e-e840966e89b2}} points, that is {{formula:09c3333f-527b-4e40-8fc8-9c273b7a9ea9}} and the first-order derivatives at those points to obtain an approximation to {{formula:c769e2c4-39da-476d-9dae-a9e...
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Input to all the models are word vectorshttps://code.google.com/archive/p/word2vec/ {{cite:1c27f98fd19318daa937905307d55b92b3f0e2e7}}. The evaluation on amazon reviews shows how well the single-task (ST) model perform when compared to the existing top-performing domain adaptation models on benchmark dataset. Table REF...
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In this paper, we present Mixer-TTS, a non-autoregressive model for text to mel-spectrogram synthesis. The model backbone is based on the MLP-Mixer {{cite:b42df816944fe7fc5fa5fe0b206d6ad774b153ce}} architecture from computer vision adapted for speech. The new backbone makes the model significantly smaller and faster th...
i
632a457728ff76fb3a5b3d223fbac355
From Table REF we can find that the branching ratios of {{formula:0896ffa8-a4a8-4e19-acd8-92a91e7ec2c9}} decays fall in {{formula:4d3480bb-07ea-4f5c-919a-0429de9e944f}} order. The experimental data for the branching ratios of the decays {{formula:7d5ee2af-b698-45b9-8963-6a5fbc185e51}} , which are given as {{formula:...
r
6863722a0862a0d52f6e25638c994f79
Many pruning techniques have been researched to trade-off model quality and computation efficiency {{cite:11c6dc2c5c0592d6bc489bd1b47aa62b54203233}}, {{cite:aec2e02b86a813a9e0047f7a8febc73521a04eae}}, {{cite:457f27f30bad5baac77b8f9ee5a23eac5219d10e}}, {{cite:618ab496b5531a92d29869cc69379a7d8b20e3b9}}, {{cite:366650d181...
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Our group importance method may be relevant in a wide range of applications beyond risk adjustment, although we caution researchers to first carefully consider the context before attempting to identify potentially marginalized groups. In some settings, identifying groups could actively cause harm, e.g., may involve col...
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RelGAN {{cite:a52c2c255406678303b408e5795e245a6299a3f0}}, DLOW {{cite:69ea880f9523768be48d79b1084615351a68bf53}}, BicycleGAN {{cite:7bfbd9f0a5bed4f37be7e771d3aaa0655e9469ed}} and AugCGAN {{cite:a75ab2eaeb94b1e93c9fee7dea845a320b5984d1}} seeks to study consistency on unseen transitions. However, the generalization abili...
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For the graphite structure, the experimental evidence obtained in the last years suggests that high temperature superconductivity exists at certain interfaces or interface regions within the usual Bernal structure although the structure of the superconducting regions remains unknown. One can further speculate that due ...
d
c89046d254d38879591bbfa15bdbccc8
A classic reference on the Monte Carlo method which includes discussion of several variance-reduction techniques is {{cite:bae6dd2e1f5f9071260f1be1008a9d752fad31f6}}. The chapter notes {{cite:bcc677c433042359e6d1da58e85e1fba4c0360be}} give a comparison of Monte Carlo and Importance Sampling with examples. The paper {{c...
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In this study, we focused on estimating HTE using an ML method with an interpretable model to capture the relationship between the characteristics of the individual and the effect of treatment. However, the models of most previous ML methods are black boxes, making the relationship between the characteristics of the in...
i
73c9f04a264e5276ee79ad4e8259471c
In order to scale learning for combinatorial problems, we ask: how much can we learn from unlabelled combinatorial instances? In this work, we consider a contrastive learning approach, which begins by creating multiple “views” of every unlabelled instance, a process called augmentation. An encoder is trained to maximiz...
i
a49c4f712d33378b4ff1c0bec0397134
P r o o f.  We follow the standard argument of Ruzsa see, e.g., {{cite:7035595a26594818cf5a8e367a18f02a16cd11de}}. In other words, we need to estimate the size of {{formula:642b0376-3455-49bb-9feb-3c68e4c3812e}} . In terms of {{formula:33872e5a-fef6-4455-a9de-c7a421eaf5a3}} it gives us (consult the proof of Lemma REF ...
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This paper addresses problems that have a long history, going back to seminal contributions by Kondrat'ev {{cite:87e966cbc6ff607c45c1a29de544434ed7f3ebe7}}, who investigated Fredholm solvability of classical boundary value problems in domains with isolated conical singularities on the boundary, and Cheeger {{cite:30a55...
i
59f36ff4ef1a9e6b3476b80cd6820410
We take into account the randomness of the {{formula:fddd8a70-62c4-4581-954a-42900d889c12}} sites distribution in the KAM using a DMFT/CPA approach {{cite:b795eba1a217b475e9cb00711ab70f93b312c5c5}}, {{cite:b8044f0b461c23a952abdad20849523e457664d8}}. First, the action related with the KAM Hamiltonian Eq. (REF ) is expr...
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648e68938c9ea52553f3eb78fda83fb0
In recent years, with the development of technology, the research on networks has shifted away from the analysis of single small graphs and the properties of individual vertices or edges within such graphs to consideration of large-scale statistical properties of complex networks. Newman {{cite:90ed16b7ebd70ab83f0c...
r
c3fb30978e2866a51a5ef55caf4f523b
At present, a quantifiable generalized metric for the visual quality assessment of images is an open problem in computer vision. However, in the previously proposed pose transfer algorithms {{cite:a697dd698a9655c9ec99a5778b7dd66a76ff7d1e}}, {{cite:c95cd184aec3c470f52c1740fe305f7f6af550ae}}, {{cite:03dba14767f326ac4e5bd...
r
a6fc713d57786a9bbc10e752de2f223e
A second example of a {{formula:f20365c7-c3fc-4cca-aeed-aed1a8cdea6a}} , identified in {{cite:e74e4ddea0450831d21ac16ef1dea2918acf31b8}}, is finding a “not-all-equal” assignment to a monotone 3-CNF formula given that a “1-in-3” assignment is promised to exist; i.e., given a 3-CNF formula with positive literals only and...
i
c92834b2fca035e553c619bafa38eb02
As shown in Table REF , MAFormer-S with only 23M parameters can achieve a top-1 accuracy of {{formula:11738b2f-4531-41f4-9446-76f7062b4d6c}} % on ImageNet-1k. Increasing the embedding dimension and network depth can further boost the performance. Table REF shows in details that MAFormer outperforms the previous state-...
r
8fa1999894e1d2abe9c5bc8299d8ca14
apostle uses the same hydrodynamics and galaxy formations prescriptions as the eagle project {{cite:fc3b083416ca02320cbdd1d54a32200d8c90f770}}, {{cite:b2c2aa60e78be7ca07eb6440022ff20f754c0fcf}}—specifically, the model labelled “Ref” by {{cite:fc3b083416ca02320cbdd1d54a32200d8c90f770}}. The hydrodynamics are solved usin...
m
9529e6918eecb29715a8b5f0b875d450
Self attention-based models suffer from the complexity of {{formula:8d86fc9b-026d-4ba1-b15d-e536d40eb254}} , where {{formula:6c7aeff1-5ad9-496a-a9a0-3c982c10de1c}} is the sequence length, and {{formula:4ee5d5a1-2b38-4540-8e80-d55a0640f1f7}} is the dimension of hidden representation, making it hard to encode extremely...
d
7f95856583fe4eeb721620a13402c0b5
It can be shown {{cite:4f82440fef749d78cb101eacf2a71d6f0bd332fd}}, {{cite:79a3331720aff493825512b5a59d27bd5145d26a}}, {{cite:c5ae31f763d9f528e44f9e3978c8ce20240af256}} that the optimal control law/policy is the one that maximizes the Hamiltonian {{formula:9c4aca66-4fe5-4428-a01b-2122dd5a5422}} of the system, defined a...
m
177196ff94e2afea1a333765d2e4ecad
Long Short-Term Memory (LSTM): As an effective model used for time series data, LSTM {{cite:89166609df7ec4f08d7f5e25821900993bdb4f4f}} has been widely utilized in stock prediction {{cite:02d0c1b354aa1f2c0dcdcd5144af5c9786da0ad3}}, {{cite:cf20f7a8b1292a08a3c240fd481b304b70f9528d}} that achieves great performance.
m
3b4ccbc50683c51b1bb3d1f5b33db9c1
We next investigate why contrastive approaches show superior transferability by analyzing the similarity between hidden representations, intra-class separation, and robustness to image corruption. We find that contrastive approaches learn more low-level and mid-level information that can be easily adapted to a differen...
i
38d6de9873efb41f9b6033223f5afe58
Even among mathematicians it has been firmly believed that the quantization must necessarily smear out the singularities of the classical Einstein's general relativity {{cite:7a154b0d931dc69913fb1d58200a9190cab7b041}}. In this sense, before any return to the quantum Big Bang hypothesis it was necessary to wait for a re...
d
236d02884b244be1e75486042da492f6
which is {{formula:e6e0ba7d-4985-4df2-a808-525ada44b15d}} for the spectral index {{formula:48aedbca-83f4-48ef-9c67-dfbe970cbf20}} and {{formula:ce02018d-55dc-4b2c-9e02-bea1a27ab0bb}} for the rigidity cutoff. No far outliers are found and the small widening of the distribution for larger values of {{formula:929bd140-...
r
47d9209a34d35b76a2a6ea15291de285
We consider a BS with {{formula:2d72a7c4-6a93-4741-9c0e-07f1382583e1}} transmit antennas and an RIS with {{formula:9736bc4c-6d01-482c-b6f6-938f34484f9e}} elements for serving {{formula:ab92b5f2-5b2d-48d1-af32-5b34045a7aa4}} users. For the wideband THz communication, the transceivers work at 100 GHz frequency with {{...
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a06e46322c9887663a058a200b476f9d
It is important to note that each of the two states on the left and right side are exactly thermal and the thermality in each copy arises due to the entanglement with the other one. In the language of AdS/CFT correspondence {{cite:51b9e6b523cbdf8dba056f4d29bca95443f37ec2}}, thermofield double state is dual to the etern...
i
15025e73c2370c57d8601e8b644a202d
Since the derivation of the method does not depend on the details of the model, but only on that its equilibrium distribution is of maximum locational entropy with moment constraints, the maxent closure may be useful beyond spatial ecology where unclosed hierarchies for particle distribution functions are also commonly...
d
76f118b63277c07088ed5a60d2d6f3ff
Very recently this issue was generalized to Taub-NUT/Bolt-AdS spaces in {{cite:c18b3df4438a6895bfa9768a68975d926b467df3}}, {{cite:e75f354133c30b1d83a6cb9fbae24bc639029788}} and to Kerr-Bolt-AdS spaces in {{cite:0b767a612939da47e6521a1ed106d7ae78930706}}. Interestingly, they found the thermodynamic volume in Taub-NUT-Ad...
i
fb8446ad583904905443dbcd49329ac3
Proposition REF also gives a way to explicitly control both sampling and labelling bias: i.e., operate on a subset of labels (for computational efficiency), but also ensure good performance on rare labels (to ensure “fairness” across classes). Given a target set of label margins {{formula:19c54be7-13e1-4728-8cda-b3e7d...
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2ac4313ee4dba730e9d26ffd1d11e40d
The accelerating developments in machine learning and reinforcement learning have increased the interest of the control community in using data-driven techniques. Specifically in the area of control of distributed and multi-agent systems, very recent developments include algorithms for multi-agent reinforcement learnin...
i
c14e021f8839a9710caf9e22cc2581f0
Autonomy will play an important role in future complex missions where multiple assets act independently{{cite:5346ef8cac3c1e29445524a7f5b97375607be5fe}}. Localization, or more generally state estimation, is one of the key components in establishing autonomy. Due to the absence of global positioning systems, dead-reckon...
i
d72c38e0bcf4fd1bdd42e2597ab34bfc