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In the quantum field theory, redundant coupling parameters can be removed by applying a local field redefinition, while physical observables like particle masses and scattering amplitudes are independent of field redefinitions {{cite:826f5d525966a90c5790e669cc936f777618e5bd}}. In this letter, we investigated the possib...
d
650f70f2c07ce78d0c0d36253e1da0f0
We note that our results are mostly concerned when {{formula:25239aba-9567-4dbb-aa52-941ccc8464f0}} is odd. Such condition comes from the necessity that the function (REF ) be non-negative. Essentially, this also explains why the assumption that {{formula:2fb0984d-ccb5-4759-962f-b6c6055e7450}} is odd appears in {{cit...
d
ab2b3156973a1ddf501dcc900f7967c6
BLEU: BLEU score is a common automatic evaluation method for majority NLP tasks {{cite:92422a605c7b1dbc663e8e380455b4fdeaa116fa}}, {{cite:c7cb2e5c4c035d609ae7112d872a646573f08e14}}, which score the n-gram overlaps between the generated sequences and reference sequences. For our experiment we report the BLEU-4 score. ...
r
cfac5e6331c9d432f010767793087c20
Intuitively, it is possible to learn general features by training a model to simultaneously do well on multiple tasks. Recent work in NLP started to show promising results on learning a generalist model with multi-task learning {{cite:35fd980d7f978afef369b528096d2564308e112d}}, {{cite:4ca7bae83e79208e61f247d1613f9bfc89...
i
ea0ae0214b3e33e0cdc8337e24278a24
Let {{formula:6a8286fb-1080-4f2e-8662-0732f55e19e1}} denote the set of the first {{formula:314b198f-3462-4362-b98e-7d5d7edfe5d3}} natural numbers. Let {{formula:c377f8de-5377-4317-b120-cbfe495700af}} ({{formula:b66909b6-ebd4-4df8-a220-b50fe93a4a96}} ) denote the largest (least) integer less (greater) than or equal t...
r
ca9ccee30d15b5ddf1dfbe8e6e044426
Datasets. Our data was gathered using Pushshift {{cite:11294999c4eb07e2efe9b46c231ba83d10ab18ea}} and comprised of all the comments and posts made on Reddit during the period from 01/2015 to 04/2020. In total, this included 5B comments and 684M posts from 39M unique users. For the analysis presented in this section, w...
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The proof technique is inspired by the arguments from {{cite:20e00768fcbb54c8a1db6bd41cab81dd1c5d7d9e}} developed for analyzing stochastic model-based algorithms, with several new elements along developed for handling the challenges introduced by the model averaging and partial participation mechanisms associated with ...
r
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As another baseline, we compare the performance of our method against SuperGlue {{cite:8d6342b1cfe0b322f4ef30c91ed8ae4fc8a7f873}}. While initially proposed for pose estimation and homography, SuperGlue has achieved state-of-the-art performance for feature matching {{cite:2d640a3ef0c43be0db9168c3c8dc6f169b12f412}}, {{ci...
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af99d829c6e32faecdb508f62c7b1ac0
In addition to the score function, each neuron of a hidden layer also has an activation function that makes the network nonlinear. Several activation functions such as sigmoid, hyperbolic tangent (Tanh) and rectified linear unit (ReLU) functions have been used as the activation function. While some studies such as {{ci...
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7af2844d1e23b8e9b31d9477f61852a5
Data Augmentations: Following {{cite:ba4d613f7cca3db0306bf8990e3b85b62664aa97}}, {{cite:c3366af2273b17d5fb2520d461f13a0cd4f57d2f}}, {{cite:8824194439b3339438ea6342bb468578e231457b}}, we use horizontal flipping, random cropping, Gaussian blurring, and color jittering for augmentation. We also use a multi-temporal-resolu...
r
85f9ef844bb78b39d0411fadf9b801e4
We see SQL variants being the top performing amongst off- and on-policy agents. Generally, Q-learning performs worse than policy gradients however, when comparing their combinatorial counterparts (SQL vs SPG), we see this trend reversed. Generally the greedy baseline helps SPG versus using a critic, consistent with {{c...
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fd642fb74d330af9e30e9e1e3c2e405c
Recently, the concept of being able to engineer materials for the fine control of water flow through nanochannels has gathered a lot of attention. Its application can be envisioned, for example, in membrane separation technology, where selectivity is achieved through both the size of the nanoscale pore or channel {{cit...
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acb3cf73dda435223f21e73d4bf2643a
We conclude the appendix with our robustness when classifying adversarial examples created from other models. First, we tested the transferability of adversarial examples from model (A) in Table REF , a baseline model that was trained in standard training only on clean images, to our model. We attacked each of the five...
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cd7b7629c7db997443fac950786dd004
In order to state our result, we first recall the local existence of strong solutions to the ideal incompressible MHD equations (REF )–() in the domain {{formula:2e34634e-9266-4346-a0ff-f0dc7a6f33b0}} . The proof can be found in {{cite:d7a38e0a3cc4e0465b95241d1a56683a76ff4ac4}}, {{cite:814da7a17750f85be76d9b9f7694a6985...
r
c530eb8f3a67e891846c5e6322682bb6
In 2018, Li et al.{{cite:e019b3170e570395ac92d85a827da6ef879c55ba}} proposed a technique called PhotoWCT, which further improves the baseline established in {{cite:b29ce6ad89bf634108659d336d2ea17e18d01fb2}}. This method changes the upsampling step to the unpooling operation in the decoder, to smooth the final result. T...
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fa6ae53933d8f3332bad8af3ca9deae8
where {{formula:a4bcb0e2-7e97-4a73-add3-5a88fb58f2d9}} denotes the scaled (by the energy constraint) adjoint veclocity projected onto the hypersurface tangential to the energy hypersphere at {{formula:70d8a65c-5641-4bae-97df-7d6c496f114b}} , as described in detail in {{cite:8f735ef15d944dbc32a33aafb95179e0a1415683}}. ...
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db1b8fb1355e256be402d0adeb0d0d16
Figures REF and REF show the models that best fit the observed polarization for each source, alongside the maps from Figure REF . Comparison with our simple model shows that the polarization in DG Tau and Haro 6-13 is broadly consistent with that expected from grain alignment to the radiation anisotropy; the polariza...
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8ecdc89e121f4e8c8a66cca5542f4d30
Quantitative properties, a.k.a. quantitative languages, were defined in {{cite:345721eb4a44eedf5fa56021264e6b5ba063f21f}}. Although such properties have been studied much in the context of probabilistic model checking {{cite:9bd8db4f052ab5480abf7500b6a4217774441804}}, decision problems in verification {{cite:345721eb4a...
i
b6a3b343a08290d0ac01b7ec73fbe864
In the past few years, convolutional neural networks (CNNs) have been widely used for LF image SR and achieved promising performance {{cite:a02e7e760528be77345194df50773e15b472e86e}}, {{cite:92c8e910a5ca4353148f5896757348f9b4eb6521}}, {{cite:875f2e39f1298b5c73441d1f570537126ff20cc3}}, {{cite:3b36f99fce2c1dad67ce86def59...
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789277eb3f8e56d84565dbcc25308462
Relation to BN. The proposed LogN is formally close to BN {{cite:ad2abb112fede11a3183e027a8a4213d10f32a00}}, i.e. they both use statistics for normalization. This ensures the versatility of LogN, since by post-hoc enforcing BN on logit, it can be conveniently adapted to any detectors and distributions in a plug-and-pla...
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Most existing works use human-written verbalizers {{cite:d07507ac7423b711455cf19461ba13d9a3c77284}}, {{cite:6c8dd30bd140d84b8e81de3e84a732f22d222d14}}, in which the designers manually think up a single word to indicate each class. However, the human-written verbalizers usually determine the predictions based on limited...
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As was stressed in {{cite:2b77e12daa1a12780750d727d7bfeac7eaf8e530}}, however, the time complexity of EDA is dominated by the computation of {{formula:e616b40b-9b5d-413a-b167-15a2303aff9f}} and {{formula:d3f51095-1664-4c6b-96cc-cfa7bf4ed571}} , as well as the evaluation of the large matrix exponential eigenproblem. Mo...
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(3) Although the theory of general relativity is a field theory of gravity, the definitions of gravitational fields are not based on continuum mechanics {{cite:dc0685bc1e53f49c526e7fd942170f90a4594c42}}, {{cite:c03a041e73bf3ee325952cb5a79cc4bf79cca231}}, {{cite:3d33c1d4a93c2480767bc1ad25f3656fdb167c24}}, {{cite:c649b45...
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34d75445aec8444a1a6952960bc79371
Theorem 1.3 (cf Lemma 1 in {{cite:8473d860c5f3b2133ca287769bda0a98a5a3fc90}} and around equation (17) in {{cite:1c76a6788ce157b618bae7b534b078d65d60cf5b}}) For any dataset {{formula:1500b23a-a5fb-4bc2-8bf9-f7d1557395b1}} we have {{formula:8ab4f96e-aabb-4f80-b934-a5249791f0f4}}
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54f17bdeca76848159d28a2cd5f3199f
endows {{formula:d8293565-831a-478a-a71c-8c12513e616b}} with a Banach space structure. Additionally, (see {{cite:441cd5707ea9b7a787ecbc657ee59188c1f5336c}}) this norm generates a topology in {{formula:a7db3c6e-8f76-438d-9963-6ad16809f6c1}} that is independent of the choice of Riemannian metric {{formula:625fdba7-e3ff...
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df60f01356039fb14cb96dd930562f1d
One common prerequisite of these experiments is the cooling of the oscillator to minimize thermal fluctuations and its coupling to environmental degrees of freedom. This can be achieved either passively (as e.g. in Refs. {{cite:347022317d15036f558bab14a51d7075b0638c1f}}, {{cite:c4a4409af3a4761d83f59f9265498d2f2f223469}...
i
812d466d825120911481cf61d115d82e
Figure REF compares the performance of five popular classification networks based on the methodology outlined by the current state of the art {{cite:72ac87195d20d6040c789b229f0b8fb4f16fa901}}. Results demonstrate that for a mixed occlusion dataset, ResNet101 and ResNet34 {{cite:430a91346e1603e039e3cdfdc9d4c6923cf01041...
r
6c92de47e0e54001820f7903ec679bfe
One of the major reasons why previous force-directed algorithms, such as in {{cite:f8f856a13fbeb5bc76b363c116cab4db1905f17d}}, {{cite:54ee8b22ef1cf2930ba3814679870405cd70534d}}, {{cite:1da99657f2e57c1f30b2f295b4bae023f8339a28}}, have become popular is how simple and intuitive the concept is. The idea of a physical syst...
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710be166b3810a8a86a3f3f8638c66b8
To infer potential informal roles, we need a latent representation of each node (i.e., each player) to capture its structural identity in the dynamic evolving network. We introduce three representative dynamic network embedding methods: 1) Diachronic Node Embedding (DNE) {{cite:90e9fe2015c2d72bc39a995921090ed03d20c624}...
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a72b7f3e9a98d51a84d5cee419feea50
For scenarios with single-antenna users, Fig. REF shows the sum rates of ZF & MMSE in {{cite:701eaf13aae8619ef5ecfda7ac5c0dd5a86e8712}}, MF in {{cite:36c4947a5984ec96ec7fb0be71b58e1096697617}} and their widely-linear counterparts under IQI. The performance of both WL-ZF(WL-MMSE, WL-MF) and ZF(MMSE, MF) degrade when IQ...
r
d0fb99ede8710a583dcb6910a28c4025
Results of PASCAL VOC07+12. We also construct the experiments of object detection fine-tuned on PASCAL VOC07+12 using Faster RCNN with R50-C4 {{cite:dbd9c5bdafe8f15cd4c1c92a5e28e5203da19234}} in Table REF , fully following the setting of {{cite:92c1a9d8dfdb65516d43362456998ddb7b64ba36}}. It can be observed that UniVIP ...
r
fd0a2f6fbe22d3872da312cd2139a33f
Clustering is another approach used in our study for data sampling. For this purpose, first, some samples are selected from the unlabeled dataset pool by the least confidence approach. If {{formula:0e8a6ad1-8bc0-4f80-9198-3f54f5de95a6}} instances are to be selected for labeling, we initially choose {{formula:06025fe6-...
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ea79988f550dec58042d11807229830d
However, most of the above works only focus on capturing the temporal inter-frame dependencies (motion information), the spatial intra-frame features (appearance information) are rarely discussed. Wang et al. {{cite:9e141712ff154bbdb64c3dfdacfac8dfe8c36b09}} proved that the spatial features and temporal dependencies ar...
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8c8f542f68b1dd14a9dafc1ce132e206
Most researchers agree that these events involve a massive circumstellar matter (CSM). However, there is no consensus on some basic ingredients of 2009ip-like events. One issue in disagreement is the powering of the main events. One view (e.g., {{cite:4e60d8f8e07406611a17f5090c5e34672ffb6b8b}} for SN 2009ip) is that, a...
i
f3e158e67729ea1e5d02eb82e556e564
In the case of filaments with isotropic or near-isotropic cross-sections i.e. rods, the force-extension relationship has been found to be {{cite:47f64c0414c17cbab79a1fcf4a641853c379476d}} {{formula:5cc0eeb2-b3a8-4272-9259-6a68d87e1b62}}
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09d0f78c9322330eecd893d13860c4f4
This truncated system is clearly not closed, since in the last equation the evolution of {{formula:c38b28ac-674f-4f31-a999-31f2c3a1ff72}} depends on {{formula:90874c6b-00c1-427d-8871-bbd83f764abc}} . There are various ways to close the system. For example, the classical {{formula:42e162ac-ca53-4afe-b5d7-e5710f13a585}}...
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a74dc9d4a70805734e2902dbcc13ae30
Reinforcement learning (RL) combined with deep learning has achieved outstanding success in various areas such as video games {{cite:0097810c37306704be82988ccebcf4933e03735b}} and robotics {{cite:a57f7dc1131cf95de0edf0d0899dc2dec849d1e5}}. These advances have inspired the research community to examine the performance o...
i
40ccdec18869fb3c6a839fb68d069f5e
We start by showing, in Fig. REF , some examples of the political parties networks generated by the network-based approach, for each year. To help in the analysis, we have also applied the fastgreedy algorithm {{cite:490cc7d6b383adacc0c7e3c04f65eba047a08304}} to detect communities in the networks. The node representing...
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a0e9298391a454821c4058fcf7ba4d26
Leibniz algebras first appeared in the paper of A. Blokh {{cite:82a70db327bcecb7096d1cb3d7601d2bb85bc16f}}, while the term “Leibniz algebra” appeared in the book of J.-L. Loday {{cite:3718d0629f327bbce79929bf41646e887a1bee86}}, and the article of J.-L. Loday {{cite:bf202f945b55a53bc4b7beb7ce64335c4b27b720}}. In {{cite:...
i
c90acf86e9272f099b93596886a2e9d8
One first type of viscous fingering controlling protocol has been proposed in Refs. {{cite:47e60f9d559b6ef24cbf6e8ebf1ee21820ff4e71}}, {{cite:b53f7b21b06f016c37a4d902b1362a5e4c753598}}, {{cite:6973f9e28c85421173239b8f7227d2bcc8ed000d}}, {{cite:a19f0e0457a93a9928d0b4c042508e3f1e94086d}}, {{cite:04cbe5df27883fe8758fceca0...
i
f437f0e691faac40741cefde4df13980
Following {{cite:aec855d237a5e4ff07ddec03c8eb7c117a8eccca}}, we use a batch size of 32 and 3-epochs of fine-tuning for each dataset in GLUE. For each task, we report the best accuracy on the development dataset with learning rates 2e-5, 3e-5 and 4e-5. Table REF shows the results of GLUE datasets for RoBERTa, RoBERT-AB...
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f63cb3a1aff47e08dc47bca21903c783
The difference between old and young clusters herein is large: old clusters (like the globular clusters in the Milky Way) formed before there was a Galactic disk, and remain relatively free of its influence. Young clusters however form in the galactic disk, and the tides experienced by these clusters are dominated by e...
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5617f26f9f4cf447b595ee65f8dfe809
The breaking of large amplitude electron plasma waves/oscillations has been receiving a great deal of attention since 1959 due to it's basic nature and practical importance {{cite:1796e804368f9ef436e6055d955c0069b4dd8bd7}}, {{cite:fb0a43555a2b0f9382c9f26769aabfa858deaeda}}, {{cite:ae2e440b14c8745f7b88762093f6beeb9bb8e1...
i
08ec75e710a72381dc08760e414d71ee
As is known to all, the study of exact solutions for integrable equations which are used to describe complex physical phenomena in the real world have been paid more and more attention in plasma physics, optical fiber, fluid dynamics and others fields {{cite:2e00ee7a955920a7893e7e7b3577f0b18838583d}}, {{cite:742e288632...
i
f1af0129c1ed78fd5bb775558930bf99
Since the {{formula:8fa8d5f4-0ccf-46bf-abb9-95636ac80334}} -norm is (arguably) the most natural way to measure the sparsity of a vector, the above idea suggests that the {{formula:d255aaa9-0055-4ad7-ac85-6dddbfdbf36f}} -penalization method is a “fundamentally correct" (but computationally intractable) method for variab...
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887eb5931dde1b72b2e78b030a26ffd2
Other methods: Our aim is to show the predictive power of the semantic features constructed from the transcripts as well as to measure the accuracy of the proposed StockGNN method compared to baselines. To achieve that we propose several baselines which have two phases. First, we generate unsupervised low-dimensional e...
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ef57bf22d37e3b789606d95dbd8c6615
First, we consider special cases that can be solved in polynomial time, motivated by similar studies for problems on uncolored graphs {{cite:ea095e7f4b480fd1a45cc4f07ffb912ffd3b2d87}}. We are in particular interested in whether or not we can exploit structural properties of input graphs that can be expressed in terms o...
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70fd1f371f62af829e5ee33d2e4c458c
With the advent of powerful hardware solutions (TrueNorth {{cite:f5e3fc10de7dd42ef70a419a69fb82faa35f3c65}}, Loihi {{cite:b6c3cd66c793f3c1e8cd3989ac571bd37c93b698}}) for spiking neurons, the question arises how deep learning can be implemented with spikes. The current approach is to implement real-valued activation val...
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8a37f92cac613a9de2668640f6d41aac
In the present paper, we focus on a specific class of Markov processes dubbed local density-dependent Markov population processes, which preserves the density-dependent assumption of Kurtz, but allows an underlying network structure that dictates the environments observed by each individual. We incorporate interactions...
i
052bd974b3e488ad16461ff7f28ab05f
Finally, the results in Figure REF again verify the usefulness of unsupervised post-processing also in cross-lingual settings. We observe improved performance with both m-bert and xlm-100 when mean centering (+mc) is applied, and further gains can be achieved by using abtt on the mean-centered vector spaces. A similar...
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1977ea413c424d8cbaa24604d4a7c54e
with {{formula:beb31f48-3fb5-4321-a4c0-25be21c9c59e}} the electron gyromagnetic ratio, {{formula:a0b3e828-9cee-4cc5-8921-10dcff5dc3d5}} the vacuum permeability, {{formula:e73eaec0-eec1-4b07-9125-b4235cf0d0f6}} and {{formula:dae84a89-b0a0-450b-8e0d-bebce66668a8}} the YIG saturation magnetization and thickness, respe...
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2117db3470b2b54797ed3baaed702f99
Evaluation of the state-of-the-art neural network pruning models {{cite:a74f8031d10c5138dda3730de9e77b68fabc619f}} namely; Global Magnitude Pruning, Layerwise Magnitude Pruning, Global Gradient Magnitude Pruning, Layerwise Gradient Magnitude Pruning along with Random Pruning using ResNet-50 as base architecture fine-t...
i
5907d66d103258a0bc9613439344bb2d
The input SAR images are resized to {{formula:3740c898-9e7e-4bcb-8125-7201237d1a2a}} in both the training and the inference stage, and the output feature {{formula:b109f6f4-90be-4cca-b4a8-065002d1c440}} is with the resolution of {{formula:69251a9f-30d9-4390-bd06-b1cf2c0c9045}} . In the training stage, we use the Imag...
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bd2e3f0e146a6f1437e16227e0f8dbc8
In Fig. REF , we compare the median-likelihood estimates of dust physical parameters derived using the optically-thin assumption with those derived using the general opacity model. The parameters are well-correlated, however, we find strong systematic offsets in the derived dust temperatures: the general opacity scenar...
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6077a5c36ba38853caef140ebc3e6d3c
Let us take some cases where the dimension {{formula:0059c66d-0356-42ff-b8c9-5b61a77df375}} is not prime. Consider {{formula:e028e26a-b490-43c0-818d-112a7db59d64}} -GBS sets with {{formula:835361bb-ae69-4dec-b3ed-5f855af2019e}} . In the case of {{formula:df7ee166-65c4-4efb-adca-6d5fe41a84ee}} , there are two types of ...
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265e238b7f91b5b2d663f9bc71e1cbe5
However, both FD and MMD are not suitable metrics for KITTI. As shown in Figure REF , real-world LiDAR scans usually contain clutters which should be removed in the recovered point cloud. MSN {{cite:1c78ca6c14c73c0ba31c5452a176dd1d537ab9f0}} incorporates the minimum density sampling (MDS) to preserve the structure of t...
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4de69a7cc1eab63ead21c699cd3e34cd
In this section, we provide the results obtained using various approaches described in Section and REF in the form of latency-quality curves. We use Average Lagging (AL) {{cite:adb81f40a0ed00ce06ee54ae6bdf9835ac2c01e6}} as our latency metric and case-sensitive detokenized BLEU {{cite:96636af3e0df4f26b3428b5cf11dc9379...
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e54c039eda11fd22c98a8707d6ca33bf
Results on a larger architecture. We compare the test accuracies of RCAD and ME-ADA (most competitive baseline from ResNet-18 experiments) when trained with the larger backbone Wide ResNet 28-10 {{cite:c85f2a47d3fe9504c5b9e2c748b9190215cfd408}} (WRN) on CIFAR-100 and its derivatives. We plot these test accuracies relat...
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6817423a776bd04e0f62bf06c1c5f280
Remark 1.2 There are some studies about the isolated collision for the general {{formula:9203319f-53e2-4a82-8504-b450aaffc2cd}} -body problem(see {{cite:5a5c7a7e2031389d5a6a879bec8fa2238844fcda}}, {{cite:8b5d3f3245918312f83a50a48c542998afb70567}}, {{cite:c33c58e20a88b5f7a3180160f119dd42d9ab52cb}}). However, all the res...
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b108dc1afdd06b5ee9fc1961039fc2a3
Pre-trained language models have become a cornerstone of natural language processing, thanks to the fact that they can dramatically improve data efficiency on tasks of interest – i.e., using a pre-trained language model for initialization often produces better results with less labeled data. A historically common appro...
i
8e48b17cc129c3697fcce3e4ac175016
In this appendix we explain an effective general method to obtain high-precision numerical results for the coefficients of high-order growth terms involving {{formula:639d13a1-fefb-445e-a8df-663714ddaa15}} and powers of {{formula:8c85140b-d0f1-47f2-ad49-1129cfb79968}} . For applications to {{formula:e73380ea-5596-4af1...
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In theorem:curlupperbound,theorem:curllowerbound, the size of the representation {{formula:fa75eb1d-8a7e-42cc-9b1e-6c1428dedd04}} is assumed to be bounded. This assumption is reasonable from the experimental perspective since it is common to normalize representation to employ the cosine similarity as the similarity me...
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c3829e51078cae37732d4a19f14e3ea5
However, convolutions are not the only approach to increasing the receptive field of image processing networks, and models like MLP Mixer models {{cite:166307f0490e6f3cc82ae94e89aa4268617e2da1}} as well as vision transformers {{cite:f6237da983559647e4b00ce9ece12b3915088cf9}} are exciting topics for future study in this...
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To further validate the efficacy of image deduplication on neural nets, we aim to evaluate a wider range of image deduplication algorithms, including SIFT {{cite:3828848b55e0cf4bbaf198ad4ff3f9fdd538a58c}}, SURF {{cite:46980f09ac2e9dee1261a902da14f176f86904d1}}, ORB {{cite:e6b6fd17429ac86775bc68f7e66451b64b50ac4e}}, fea...
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Therefore, to tackle the above challenges, we propose a generic framework for boosting current SOTA traffic speed prediction methodsCurrent SOTA methods in traffic speed prediction are graph-based models that use GNNs to directly learn over road network topology, such as TGCN {{cite:8742cb306e309cf3095453a8fbf13beac770...
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One of the questions of interest in the theory of persistent homology is the following: given a random function on some topological space {{formula:3b9c0da6-6378-4138-ae4a-8932d439c89e}} , what can we say about the barcode {{formula:83df7c8e-403f-4cc3-adcc-7435a63472ca}} of this process? The study of the topology of (...
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225c3fcaeb1acca5fad58e6b88103ee3
As in Section REF , we investigate how the weights scale with depth and whether Scaling regime REF or Scaling regime REF holds true for convolutional layers. To that end, we follow the steps of {{cite:b54abb98592a3b2d3fe7f5fd90b4686c2c285308}} to get the singular values, and therefore the spectral norms, of the linea...
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Remark 11 (Computable Parameters) We note that both {{formula:dee6cbc3-fff1-4828-9ee0-78745d083fa6}} and {{formula:3efa6b86-6374-4458-8866-93c5c6a77e06}} are quite easy to compute. This is valuable because it means that, given a sampling pattern {{formula:2b8c5cdd-1ffd-4007-b053-37867ad79997}} and a desired weight ...
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These shortcomings have shifted the interest to benchmarks of advantage that are thought to be more robust against noise and that are known to be verifiable with a feasible number of samples. Prominent examples are the heavy output generation problem (XHOG) {{cite:93a02b7d60d15d82e06d6c0a3c9c91304c38a91c}}, {{cite:b2cd...
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There are various approaches to derive QNMsThe detailed discussion on this aspect is referred to {{cite:e243bf018694a7abc4c28709301ea71a5e4bc559}} and the references therein.. Different approaches produce the different precision {{cite:57c692c65cfcac80c83e95cbf0e110a302227c79}}, {{cite:6de47eceb2c6167b8a9d2246ccf7c9902...
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Both CNNs and bi-directional LSTMs with fine-tuning achieve accuracy higher than 90%. If we disable fine-tuning, classification accuracy is still high, although overall fine-tuning appears to consistently outperform non fine-tuning configurations, which is also consistent with the results presented in {{cite:edb482a248...
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Baseline: Max-softmax   {{cite:bb1957e954842dd8e0de574391827ee66d1b6a06}} showed that the maximum of the softmax outputs, or confidence, can be used to detect OOD inputs. We use it as the score of an input being in-distribution (ID). We will refer to this method as Baseline. It is well known that the confidence can be ...
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98306576cf5b04705bf1a1113b2052b5
where {{formula:b2c1cdb8-ac39-473f-9835-f31529ab7143}} is the coherent neutron scattering length for atom {{formula:1701b7cd-0021-4b67-b6ba-dac478b86cac}} , {{formula:766d9fde-aa90-472b-9fd7-054574d4486a}} is the wave vector transfer, {{formula:51efc493-f0e7-49d1-a6d4-4a8786673bdd}} the equilibrium position of atom ...
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Bolukbasi's method {{cite:bdd7e0663b0495c14f14e1efff09539d7d1ad24a}} requires sets of pairs that define the gender direction. For this we use their predefined pairs, since we target grammatical gender bias, which we have demonstrated to be similar to social gender bias. In addition, a predefined set of inherently-neutr...
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3678193b2555e09c48742b55e596a435
for some {{formula:3778ee0e-305b-4005-a5c2-037e5d1e9819}} independent of {{formula:30485662-10a2-4972-ab58-5818de9755b6}} . The asymptotic behavior of {{formula:390513e6-a4bb-4024-9162-9bc045985026}} in the energy space {{formula:2b351ea5-7d1c-4421-9fce-f248c474d65d}} has been known since Struwe's seminal work {{cit...
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acaf3aed89d1a6c2c34cbbb17b52e0a7
The presented approach clusters the data into segments and models each of them with an individual, locally-stationary model. Such a decomposition of a complex dynamical behavior may not be optimal since it may not always be clear how to differentiate between a nonlinear and non-stationary time series without knowing th...
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{{cite:6ff2a61fbcfecbcce34f4f44215e38f85f27bd9c}} makes the case that researchers building language models should be purposeful in curating training datasets, as curation choices are effectively world design choices. Corpora built on top of news scrapes snapshotted at a specific point in time will capture all of the in...
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16388f991765b63321100ff949fefce3
Active regions exhibit sufficiently slower rotation as compared to ephemeral regions. Moreover, there exist a weak tendency for larger active regions to rotate slower. This finding is in agreement with previous conclusions made in other studies {{cite:f2fe13c654c3e21b356ac6a5660cd0fa6148b137}}, {{cite:e3c7065cfddc4ebd...
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e81cb7fb605fd6bca0444fd5718ac5a9
In our experiments, we extend the GPT2 architecture to formulate our model, named GPT2E and train it on the CoNLL-2012 dataset {{cite:22de77c99480646ea452405845aa28f8139cb7b4}} using the annotated coreference information. We evaluate the model's performance in terms of Perplexity on the ConLL 2012 and the LAMBADA {{cit...
i
7afcd9d6548dd22a745479184e81423a
Besides click feedback, a few methods also consider other kinds of feedback to construct training tasks. For example, CPRS {{cite:f4c15d34a0dc0bb55d34614b825926e586b331e1}} trains the recommendation model collaboratively in the click prediction task and an additional reading satisfaction prediction task, which aims to ...
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fe5aad59bc6c3755a614ec4aa1cf84f1
Remark 2 The weighting matrix in WLS provides the relative importance of the components of an error vector to be minimized {{cite:7824013d598e9a1b711a89cec837ff6a4a3d3db7}}. In the proposed method, the derived weighting matrices ignore the second- and higher-order error terms, which are non-negligible when the noise is...
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bae4267222e45a58582ea6775fb0fe54
Observe that, for Formulas {{formula:b777327a-0fe8-44df-8d4a-3a388d21216c}} and {{formula:79da97aa-b636-43ac-a6f2-e521063056ef}} to be satisfied, a trace has to be finite and so that in its last instant the value of the {{formula:8a8f7e14-cf6d-4e90-b707-430f58d85d35}} -counter is {{formula:992a5abf-313b-4f4b-b7e2-33...
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e188b92d7715b6fa7d0dad5374b0f70e
An obvious challenge in the use of loss functions which include {{formula:4112ea05-3db1-4cf2-8b9f-c74dec4ab9bc}} is that the number of samples required for density approximation grows geometrically in the dimension of {{formula:8b377e4d-3a3d-4a68-95e5-0f837a738b8c}} . In this work we have focused on the case where {{f...
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4b83a438cce7e08c3f40c052724063a2
On the other hand, we found that the benefit of the axial summarizer mechanism is dependent on the complexity of the prediction tasks and the size of the data available for training. When randomly initialized, we observed that it is important for the complex sequence-to-sequence prediction in the MIMIC tasks but it was...
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c39d377b3530307960cae3c87b008231
For many meta-heuristic methods, there exists little to no theoretical justification or convergence proofs {{cite:4d37a384031a43ea7ae200da0a2ee38ff7ddea2e}}. Others may converge with probability arbitrarily close to 1, but might only do so after infinitely many function evaluations. In practice, many meta-heuristic alg...
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The crucial step is the determination of the weights {{formula:da4a0c56-9c3b-46f1-a14c-d3ca2db405d5}} and {{formula:3febec3d-aa11-45bf-8047-4d2f5fa6f5e6}} of the atomic neural networks, for which we need a reference data set containing the atomic spin values of a representative set of atomic structures. This data set...
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9ba94cde91b9d3e04e71e7f917a3a8f0
One way would be to employ time-consuming techniques requiring to both manually collect and check (digital) evidence; for instance, one could look up sources like encyclopedias, newspapers and even gain further evidence by asking friends. Another way is to devise automatic fact-checking systemshttps://fullfact.org/blog...
i
54a511e334ce8e4289d5f4a047e95d7d
Automotive security research has been traditionally focused on in-vehicle vulnerabilities or adversaries exploiting the lack of secure communication {{cite:bceedf9c6f4334027f55d969117cd2feea560a5c}}, {{cite:daa5652b1ce9a3bec169f1479b19360fe249f212}}, {{cite:8887df1a614ac602af5fd1400bf0ce8aa1ca2248}}. Machine learning h...
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84e1c26ed151227ce85359313bcb8899
In this section, we evaluate the performance of the proposed widely-linear precoding schemes through simulations. We compare the proposed widely-linear precoding schemes with their linear counterparts, e.g., MF {{cite:36c4947a5984ec96ec7fb0be71b58e1096697617}} & MMSE {{cite:701eaf13aae8619ef5ecfda7ac5c0dd5a86e8712}}, R...
r
8be197071a59265b00b0411bb71fbd84
EF in PLAX view is estimated based on the distance between inferolateral and anteroseptal landmarks, i.e. LVID. We use the length error (LE) of LVID as well as the location deviation error (LDE) of inferolateral/anteroseptal landmarks (abbreviated as IL/AL) as key errors. LDE is also the most widely used criterion for ...
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0c8b4d08e4462caea2accc1d3004edca
We compare the results against traditional variational autoencoders and generative adversarial networks. The results show reconstruction of the inputs with feature and generator. We also show random samples from the generator network. We evaluate the Fréchet Inception Distance (FID) {{cite:03eff438dd65dcf1a36a2cf33e769...
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1f98317aa37259c42b60c12f7cb6373b
Compute {{formula:86b7a6c0-8a5e-46eb-97d7-d30e52dab2c0}} , the optimal shape fitting {{formula:23616381-0396-4ea4-b91e-b582f81f4396}} . (It suffices to use an approximately optimal shape.) Compute {{formula:d0b99551-49d5-4b5e-9e46-1ecf86750911}} , the projection of {{formula:f1453faa-554d-4f0b-8591-5403e40b4d99}} ont...
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ababf1cf171f4c0a6c4b27b943d64072
Particle yields in 0-10% central Pb–Pb collisions at {{formula:3799def5-09a1-4ba9-bdbf-09ec31789aaa}} = 5.02 {{formula:0af6e64d-6e6d-44d2-872a-184ce1386c06}} are compared to predictions from three Statistical Hadronization Models (SHMs), each based on a grand-canonical ensemble, and are shown in the left panel of Fig...
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a622f73e3aede6ecdcb35558e259aaf0
We then add the Planck tSZ angular power spectrum {{cite:40d0e9fe8777832f4b415f7c31ac43a2d1a7251c}} in the likelihood to add contraints coming from large scale ({{formula:8e6b87a3-bb24-4fdd-90dc-1a69b147d0ca}} ). We only consider the case using the RF modelling of the tSZ spectrum. Adding Planck tSZ data does not impro...
r
df206a86ad3b6113d6455b3e801df868
It is not clear how much bigger dimension one needs in order to achieve a coarse embedding of a graph of growth {{formula:66b4b5af-d90e-479a-870a-06a39f068167}} in {{formula:746ac979-bf06-41c3-ba12-2c13a98c3357}} instead of an embedding considered by Linial, London, Rabinovich {{cite:681ddd5d774d4c463e40b71ae55302540...
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4470daf312c37ab9fda1d92965f319ca
We perform both frequentist and Bayesian analyses of our data. The measurement of {{formula:b1aaf22d-4bc8-4803-8b67-78c89f121d78}} from each of the analyses is in agreement, with the presented confidence intervals coming from a frequentist analysis and the Bayes factors and credible intervals coming from a Bayesian an...
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f332bbcb7a76d1158dc0b9a763cfe25d
In this paper, we present a new mechanism, differing from the self-tuning or well-tempered classes, to solve the Cosmological Constant Problem through a simple, minimal scalar field model. Our model belongs to the Kinetic Gravity Braiding (KGB) {{cite:a81de749a5a0f3762f931d12d4fe9f8cd1673b90}}, {{cite:ae89520bed04b405d...
i
127fc326aa831486ffa04a1c8a79ab9d
Although there are at present no direct constraints on the escape fraction from faint galaxies during the epoch of reionization, deep searches for escaping Lyman continuum radiation at lower redshifts do show some evidence for redshift evolution {{cite:8d451e2f1b1a898184b919b277524e4e80ab6d18}}, {{cite:1bffb188b8269874...
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b8dc99f383144ba5425021e706b50e3d
It is a classical result that if each ball selects one bin independently and uniformly at random, then the maximum load is {{formula:c5ad55ab-60b3-4497-93f1-8fac5c1e8881}} In general, with high probability refers to probability of at least {{formula:f4ffda3c-39dc-4fda-a754-2c6766db8b6f}} for some constant {{formula:e...
i
12f3356743e1b5368725ee4ab0cb5bdf
Unlike two schemes in Section , we develop an accelerated variant of the Douglas-Rachford splitting method by utilizing the Halpern-type idea in {{cite:ac6b1fec51fa1dfac7da1704df777a65eeb66575}} and the Lyapunov analysis in {{cite:77f4bbf25c451b42e7da23fd36b9a83caa960240}}, {{cite:28c64930f17e6f82b88b90e31b836674be0e20...
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3bd73d8cb10d0a1b2e0319bbda81dc43