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As mentioned above, global FI measures can be agnostic or model-specific. A global model-specific FI for GBM can be derived by evaluating its individual trees FI and averaging them across all trees in the ensemble {{cite:d3c7d69862afb05374ee56dda37c9a52ff2595d2}}. Given a tree, there are many methods to interpret how i...
m
ac02eb84d4d89def3b484c989ebfee0f
In this paper, we have developed the Layer-Peeled Model as a simple yet effective modeling strategy toward understanding well-trained deep neural networks. The derivation of this model follows a top-down strategy by isolating the last layer from the remaining layers. Owing to the analytical and numerical tractability o...
d
f6f85d671eb7fe40b3b29f4d5088b861
In Einstein-Aether theory there are scalar, transverse vector, and tensor perturbations, whose propagation speeds {{formula:6306ed29-423a-4634-9002-c8a13a20fc48}} , {{formula:9c8b888b-5a1a-43e7-a30e-af5accc45a6d}} , {{formula:b79a4650-07ad-4724-a9ad-9accb6e92b8a}} on the Minkowski background are generally different fr...
i
ea9297f8a828c4598bf6ef426f667d6b
Gaussian process (GP) is the method of choice in the popular PILCO algorithm {{cite:c80c0e7075bcb1a392408516b077bc5343d56dce}}. On the modelling side, it cannot handle non-Gaussian (multimodal or heteroscedastic) posteriors and {{formula:ff6e11ef-23cf-4a58-81fe-ba834a790919}} -interdependence, failing Req REF . More im...
r
77f05d3cdf3d3ac6f31fd8ed42e91a5b
We only considered the cases where we have not access to {{formula:953d4f15-60ec-4fa4-a4b8-49f48d437c6a}} . However, there are ML applications where we do. For instance, in computationally intensive numerical simulations, for physical sciences, economics or climatology, some models are run on supercomputers and can tak...
d
be70956d9679f7ad04f5f3353e90bf26
Another approach for investigating the properties of the strongly coupled theories at finite temperature and chemical potential is via the AdS/CFT correspondence {{cite:fdb497c6689bac9d692099bc7813ca5111aa36f8}}, {{cite:0511b751ab7299c5f00d097a33ff945ef2e45922}}, {{cite:70c0421a29337f6d51762217077142117bfa888c}} which ...
i
818e98b4b9db2f6434bb921222de6c08
Researchers switch their attention to the robustness of deep models as they now achieve high-performance results on clean/in domain validation sets. Previously, the object recognition {{cite:fb3c2df23f49135b2e8a4545f75929083864b381}}, and semantic segmentation {{cite:b786f2b6d0240cea7fd9b1f4d98175aa28b47ebf}} tasks are...
d
7d8f4e3d730626380a5a9e47dba1096f
where {{formula:67f97c02-6e6e-4583-94bd-6478aa2c88d2}} is defined by using the equation {{cite:20d67d6eaed0d36bda7b9bed723ac5de4927e02c}} {{formula:43046ac5-2ebe-41f6-8c54-45e8702353b2}}
m
3b35c3bb9a6dcd557f705c86e9d43a20
Finally, it would be an interesting issue to study the dynamics of kinks and bound state solutions of the model (REF ) in the context of quasi-integrability, which would be relevant to the study of the quasi-conservation laws such as (REF ), and the relevant quasi-conserved quantities in the so-called (quasi-)integrabl...
d
1a852bca3eddec7f0297bea062176ed5
Methods of solving the Kohn-Sham equations {{cite:69f5822f2bff3105c6e60e6bfdb777d3355d8e76}} in average atoms typically involve numerical finite-difference integration schemes like Adams-Bashforth or Runge-Kutta. A largely unexplored alternative is to use basis functions via spectral methods, where one solves a matrix ...
i
1df230e2ff38898fda947e0a89b8ac9b
Noise-Limited Regime (NLR): ({{formula:c52e37fc-0341-4342-9ddd-09822c44db0f}} in Fig. REF , Fig. REF and Fig. REF ). In this regime, the typical MU is likely to have a NLoS path with the serving BS, see Fig. REF . The network in the NLR regime is very sparse and thus the interference can be ignored compared with th...
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26558b16820092cc709c13d74c601779
Object detection {{cite:e0b84551dbbb302ed7f8fbcffc8930e9cbd427be}}, {{cite:54e7c519bc86f3ed10e553f487bbfffae00c1622}}, {{cite:99debd81591233b2435dd94dd2d658fb63643b75}}, {{cite:4fe5664cac3cab2c2e6739fcf6b5fcf271b9440a}} is a core task in computer vision that has considerably advanced with the adoption of deep learning ...
i
af33d8cf99117b3ea0f24b13f3050267
Sparse voxel-based methods quantize the 3D points into sparse voxels, and then apply 3D convolution operation only on those non-empty voxels to reduce computation and memory cost. Minkowski CNN {{cite:ccf34a510156aabc8f220bb4c4c9261e49b9c98e}} is the first efficient sparse voxel framework, and it surpasses all point-ba...
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7f0334ef574b4ba9b2998d48eef759b2
Aspect Conditional Masked Language Model (ACMLM) {{cite:52611a7b9cccd6bd89cac42512fb53fc310f1b84}} is a fine-tuned BERT {{cite:c46f261541e4a4e92419df177d8d59f654ad04e4}}, where an attention layer is introduced to encode the features for both the user and the item. By predicting masked tokens, this model can produce di...
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5b5368f7f78fd9057d50d9138731840f
The present paper constitutes a generalisation of the holonomy groupoid constructions in {{cite:a5a7a6a2bf574095ef0c37f28022222489206689}} to singular foliations, and is inspired in part by the recent work of Garmendia and Villatoro {{cite:7078f5a5c0d43cfb50f13262fca814ac7d216e13}}, who showed how to recover the Androu...
i
67f477beec655d0aec0312c235ff70ad
We note that, in general, for loop calculations some care is needed when using dimensional regularization. To take advantage of the spinor-helicity formulation in a one-loop calculation we need to choose an appropriate version of dimensional regularization. Specifically, instead of taking the external polarization tens...
m
a82dd7ab3ddad1e99cd4fa66d910a33c
The pattern formation mechanism presents significant advantages; first and in contrast to classical chimeras, the generation process is robust to the choice of initial conditions. Secondly, patterns that follow such a global instability principle are known to be stable and not transient, which is also observed in our n...
d
a8bb86a5f92d0fadb2dfe937dc034793
Take {{formula:4786635c-1c2e-4ea4-a1bc-3db3a76b4b45}} in Lemma 3, pp. 161 of Blum, et al. {{cite:63d13a867758b85fa134310ad906f9f9b8688dc1}}. Also, the following auxiliary results of elementary convex analysis will be needed:
r
4faf6c23a79aab4676ebba48f31db45a
We now turn to a 2D S-TI-S junction with helical magnetization depicted in Fig. REF . The helical pattern is given by {{formula:9a49e473-8d20-4af2-ac0f-fa56e991e11b}} , where {{formula:468dac88-e541-4087-8ead-a6fb20ffddaf}} and {{formula:e962307e-2fcd-4bb2-a0ec-457b96933cc3}} determines the actual pattern of the magn...
r
1444cbb9406190cc1754698b6f4396e1
We have hence seen that we can design a quantum Hamiltonian simulation algorithm which hast time complexity {{formula:e9afe83a-8f61-4d8a-911a-a54efc2058f6}} even for non-sparse Hamiltonians. The algorithm relies heavily on the access to a seemingly powerful input model. While it is questionable that it is even possibl...
d
6671c575da06b6266a9cf1b7c755b640
On the other hand, CeCu{{formula:bcb2378a-6127-4dce-b37a-5db4d9ba5d4d}} Si{{formula:f625f354-b3bb-4bad-a245-7261cc48a58d}} , CeNi{{formula:e5ccc89f-8ea0-4cc4-be24-469e45f8cf99}} Ge{{formula:91ecaf06-9e33-40bf-95c1-c54cf704665e}} , YbIr{{formula:f61fbea2-adbc-4272-abb7-5a71d4dddc09}} Si{{formula:94aa0ca0-0772-4a85-a3b5-...
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b3190d09aed99b8711142193feeca3d6
Our lower bound is incomparable with that of Fung et al.{{cite:928230e9b89de7eedde2e6b28e1eb756013a51d7}}, who showed that for any constant {{formula:7297d1ec-8e79-4363-af28-99591b24ff7d}} , there exists a graph for obtaining a factor {{formula:b54d3580-7d62-43fa-ab76-5f4bc1943b33}} -cut sparsifier by averaging trees r...
r
899addb07b3b04b8c90444dee84147ce
Since it's preferable to have more than one criterion for the difference between the two corpora, future work will focus, particularly, downstream tasks to confirm this {{cite:5b2321901e5fc3fbe31c1a2290e0c8e5876ca43a}}, {{cite:a5bf5fd6a8dd509c68775b70b099bbdc5d26f509}}. Implementation without using the pre-processing s...
r
3b6c8a60e9ce02e82b0c3d835b805683
In this paper, we show that Spiking ResNet is inapplicable to all neuron models to achieve identity mapping. Even if the identity mapping condition is met, Spiking ResNet suffers from the problems of vanishing/exploding gradient. Thus, we propose the Spike-Element-Wise (SEW) ResNet to realize residual learning in SNNs....
i
87bbbf5c28d2f1379675f8a23f1b98d4
subject to the boundary and initial constraints in the last three lines of (REF ). The computed solution to (REF ) is set as the obtained minimizer. However, due to the nonlinearity {{formula:726fa127-6f23-4088-8c21-161e9553e122}} , such a functional is not convex. It might have multiple minima and ravines. Therefore, ...
m
ed12c79c941687291ec75dd9a1f6fd9e
where {{formula:ca1378d1-feb2-4915-829f-6d35ec66f794}} and {{formula:5240b222-0740-4802-a2b4-d3d0a6cf5397}} are the retarded and advanced Green's functions, respectively, and {{formula:ab057b5f-fd5d-4a17-b300-5fbb1d3c55f5}} and {{formula:f1db7192-9883-4854-a7d3-866513477aa8}} are the coupling factors. In terms of t...
r
9ffe697fc01a0d1050afa553970481f4
In our experiments, DIP-GM is the proposal based on our MILP model (Model REF ) of the graph matching problem. It stands for Deep Integer Program-Graph Matching. DIP-GM{{formula:b029e86c-f085-40e6-853d-7cc9ded16ea0}} is our proposal based on our topology-relaxed MILP model (Model REF ) where topological constraints ar...
m
65b04921521db4f583aba1b7e5c3549f
RISs mainly are planar and rectangular, tile-resembling devices whose physical characteristics, and particularly their permittivity and permeability, can be engineered in real-time to obtain a required macroscopic electromagnetic behavior {{cite:09d52f1cbe4d6b04b97e19f5301ac3e163c36392}}. Thus, when a wireless wave emi...
i
35b2172bbd685c4b9abfd578ea375444
In the recent years transformers {{cite:cf58472f6dd8e8e6bff0fcff618f6709d7c61ec0}} have shown to perform strongly in the field of natural language processing. By solving the problem of long-term dependencies and effectively paying attention to the right words for the context, very impressive transformer-based language ...
i
6d2f697e26c75b98c0f2d5abb330cdc2
For nonlinear functions, some formulas have been proposed to calculate {{formula:c64e0e2c-f67d-4615-988c-3c014eaf5cc5}} have been proposed (for further details, see {{cite:179b7cacc98156d25b73bf55fa8cd42cb2f9e3f3}}). In this study, we use the following formula for {{formula:41e9a730-42ec-4f96-9c00-c7eb88a6b83f}} prop...
m
9123705ec7132a8f6b13631bf37010b4
We have run {{formula:394967d5-ed1a-4e1b-ba04-6a9849ae7223}} -body simulations of star clusters on circular orbits about a point-mass galaxy, using the GPU-accelerated {{formula:15b34060-024f-4324-b435-2b1a74ebb10c}} -body code, nbody6 {{cite:6d21fb8d5e2cf3d3a3d0ae566f3f71dfbb864a6c}}, {{cite:4e85f95d07f42ea5802093ff49...
m
bd595e548f0fad30822de42769bee62d
We also formulate Dark Experience Replay (DER) {{cite:4bd93da94ecad51802520759ca8d41740a98fd7d}} for UCL. DER for SCL alleviates catastrophic forgetting by matching the network logits across a sequence of tasks during the optimization trajectory. Notably, the loss for SCL-DER can be defined as follow: {{formula:a7d72ba...
m
40a583b4f4e08aaffc9aabf2c4891e77
Our analysis here supports the findings by Madry et al.  {{cite:7db885fcd509f8528f357a9920ff23ab4a88c49e}} and Bubeck et al.  {{cite:4d35b2e1f8bdabedfa99f53f2487dbc3112a9137}}, {{cite:e5eaeee5cef7cefb8594d78b46e6e98ce188d837}} with the caveat that Bubeck et al. 's analysis is based {{formula:107c30c9-f9f0-4574-aa64-bff...
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7b57796154759dbe6e98ccfc58c47a25
Besides masked-based explanation, there are other causal explanation methods, e.g., LIME {{cite:88cf4ab51c594489448eb594664ed91fbbb197ed}}, Kernel SHAP {{cite:a44c29c666236ad478bb14405d78c659589f7a6d}}. They are regression methods based on super-pixels. As such, they produce coarse-grained explanations.
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1c7069e7cd79aa65010ee6d24a0c50ad
Specialization to the bipartite graph alignment. When specialized to the bipartite graph alignment problem, the proposed Algorithm AttrRich provides an alternative polynomial time algorithm to the celebrated Hungarian Algorithm {{cite:f6b98e6c609ca7dd1cdf717faae63decbad05b1c}} when {{formula:22b84ff5-70e0-4bba-bb96-d4a...
d
724fac28ba95657a0027310227824bb0
Within certain modelling frameworks, classification of time series is well established. For example, within an ARIMA framework {{cite:0941e24d7a385e23d2746725e8f543acf5b23cbf}}, or within a state-space framework for exponential smoothing {{cite:671961db23d37a6e2fe98d1d84150d6c95bb2a15}}, series may be classified, for e...
m
4da98c6855d5d255ca4d2c32ddd7104e
Memory comparison and speed-memory trade-off: In table:recontablesynthetic and table:recontablellff, we also compare the memory requirement of our method along with our baselines. For SNeRG {{cite:2d2816478a9882fa6d07b660eac46573fa5c4115}}, NeRF-SH (PlenOctree) {{cite:2f309db01cfaabc65c05fcc74f100540ce348721}}, FastNeR...
d
ab74f809c9bc0171c923a9f7a499908c
In {{cite:9747f1c4b067715c24fec43319be72e274613b32}}, Isbell proves that a collapsible 2-dimensional cellular complex {{formula:6a682bef-6640-44d8-a298-73e11b3a4413}} admits an injective metric by explicitly constructing a hyper-convex metric on {{formula:1d9a2fae-8e6d-475a-91a3-4d80365a856a}} as follows: taking a tr...
r
70e2c7b4775765d32e92185be032bb1d
Hybrid methods combine ideas from the above-mentioned methods such as pseudo-label, consistency regularization and entropy minimization for performance improvement. Moreover, a learning principle, namely Mixup {{cite:9147720ce68d799c7ad344684579410ccb4607c9}}, is introduced in those hybrid methods. It can be considered...
m
f02259464177601173fc7a203c620a3e
i.e., each node can only affect its own iterate and the iterates of its neighbors. When nodes only have information of themselves and their neighbors, this is a natural way to preserve feasibility of the coupling constraint. The extended method in Section REF for handling general {{formula:09577b8e-6f33-42bd-a9dd-f56d...
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82ba5614349b570c2e7de3d1cb580cd8
Model-in-the-loop's performance. Interestingly, the MoViE+MCAN model that was not used in the loop and trained with a different seed, performs very similarly to other models. This suggests that to some extent, annotators overfit to the model instance. An alternative explanation is that model selection for all evaluated...
d
3fa65973f318cff54c27a7e786a230b2
Our models are built using PyTorch {{cite:420bc06c918e754dba42ade70eb5d4c4bae1dcec}} and Open-NMT {{cite:dfe42139a90cbe8ab6345b3998969f8d0e2207ee}}. We configure Transformers with word embedding size 512, gloss level tokenization, sinusoidal positional encoding, 2,048 hidden units and 8 heads. For optimization, we use ...
d
9ecff5a703575dc50e51de2912a680b5
First observe that by Lemma REF , {{formula:2a8e9571-8bcd-4ce5-8894-0f6e4f6171aa}} is {{formula:8e89f98f-34cb-4659-a563-08baa61e089f}} -strongly convex for all {{formula:3cd455b6-dcef-4aa9-83f3-e318e82ba2dc}} Next, notice that by Lemma REF , there exist {{formula:fe00f57a-18c3-499f-b72c-1d155fb12ab7}} such that {{fo...
m
76c2a785f471c604c365714b0de79a48
In {{cite:01b62cda59c6c9fdac36bfebcf03516e9398597c}} it was considered a special type of set theoretical solutions of the quantum Yang–Baxter equation, the so called non degenerate rational maps. Nowadays, this type of solutions is referred to as quadrirational Yang–Baxter maps. Note that the notion of quadrirational m...
i
b57c8dc8f329968c3a17571eff9f99e1
A possible extension of this research is to investigate analogues of these problems for multivariable functions. Previous research on learning multivariable functions {{cite:b1031059f371b73d9f33f6ce6469634936a9161e}}, {{cite:40677691a979ada74579f9b4d9eb264eecc1804f}}, {{cite:7cdce6b3dca7104b89d3d7ff37f5863f24fa18dc}} h...
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664d8b2caf80b58635ecdd168964f124
The majority of the experiments use the synthetic oracle for labeling. We also run experiments with actual human annotators in the demos + preferences experimental setup, with the full schedule and with the schedule reduced by a factor of 2. In our experiments the humans were contractors with no experience in RL who we...
r
c0496262253ea067dd88d8aa792d3f2a
An interesting direction to explore would be cost sensitive learning in Class Conditional Noise (CCN) models without using/tuning noise rates {{formula:954ad409-8993-400b-8316-1748dca7effd}} and {{formula:95f197dc-8ee2-4af5-a0b2-a3fdb710f52d}} . We could invoke Elkan's result {{cite:0b5a5ddc1c672a2338ec2bc7630ba83ab0d...
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b364f07d99ecf89fa6fb4255b87fc6bd
Figure REF visualizes the datasets in the Background Challenge {{cite:70c4128cb86d8cc17293bd3ec008f35e590a5f11}} benchmark, which provides various combinations of foregrounds and backgrounds: Original ({{formula:613d5709-fbf4-4cf9-885d-03b8ab752e37}} ), Only-BG-B ({{formula:d700286e-72b5-47f9-9a46-1b5a33ee255e}} ), On...
d
bcd220a1457a36d59b01e3818b305c9f
However, we notice that both CLM and MLM still remain some deficiencies in calculating sentence scores. For instance, some works {{cite:5a362bfd52bacf39e0d1e4abc5558a5ced04f0e9}} utilized GPT-style model for ASR reranking within single inference, yet GPT model can only extract unidirectional information due to the limi...
i
3e5cb53edd131735a62a9b457ac83237
Architecture scope: We sample our architectures from the large AnyNetX network space. It contains the CNN building blocks to span basic designs such as AlexNet or VGG as well as the whole ResNet, ResNeXt and RegNet families. We acknowledge that there are popular CNN components not covered, however, Radosavovic et al. {...
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cf81fa5c59904a522e47087e5ec19751
We strongly believe though that robotics competitions like AIRR reveal highly relevant research areas for AI. In this case: How can AI best be designed, so that robots need minimal time and data to reach robust and highly agile flight? A monolithic neural network trained end-to-end purely in simulation likely requires ...
d
e39a96e2857c8a23bf7381296e2c4bab
Let {{formula:635014f8-966f-4a60-bf24-30d529abbd43}} and {{formula:b7168b6b-ab4a-44f8-ac96-31c5da2e0f3d}} . Then the following hold (c.f.{{cite:c2c560ff366c620c53825e1df14ccd14c99e8209}}, {{cite:30a4fe7d9a553713a32e8407a298314296af3b5b}}).
i
2b9be2312173476c84f35abf630bdf35
The equivalence of conditions (1) and (2) as well as the equivalence of conditions (4) and (5) can be found in {{cite:f1c4c02ecdfc706f1df4fbea81496000e80fd7d3}}. That (2) implies (3) is immediate from Proposition REF .
r
e840d2682d3025ec667e0832f9829f88
As a backbone of our explainability tool, we require a method to represent the special activation properties induced by a single sample in FR models. The AM visualization scheme used in this work is the Score-CAM proposed by Wang et al. in {{cite:fa3f142309f5dad48e6a7c8f4153909e54306ac5}}. This method is designed to ef...
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c725dcffa856b9017aea2cd40ec33a5a
Our method of testing identification addresses in some sense a statistical problem `in between' classical treatment evaluation, where both the treatment of interest and the identifying assumptions are predetermined, and so-called causal structure learning or causal discovery, see e.g. {{cite:a89a4ce1e3f0215d689ff449fae...
i
ccc4e20b15e823eb903f4592016dcecc
The Fast Gradient Sign Method (FGSM) is a popular one-step method to generate adversarial examples in the supervised setting {{cite:3307e3c627520d0a1190df3e833759ff275a1173}}. Its untargeted mode perturbs the input {{formula:e3d3971b-9f86-48ff-b983-c4c8837eea8a}} by taking a step of size {{formula:f84291ba-2f89-4bdf-9...
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2948abbe8818277f73cb7c73654c1488
Table REF summarises the quantitative results of this experiment. The DiSCVAE yields higher accuracy rates over competitive sequence disentanglement techniques, like the DDPAE and DSeqVAE, despite being completely unsupervised, i.e. there is no need to fit a GMM post-training. These improvements additionally transfer ...
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30a98ae4efbc80fbd3f51526eb00eab3
In the last decade, many works have managed to further establish sharp convergence rates, which mainly requires to investigate quantitatively the sublinearity of the corrector {{formula:e5177a05-005d-43ac-9869-6793feaa7728}} ; see {{cite:1f3d651981e4ceadf222fe807a6218279b71f081}}, {{cite:49c11495d8745d6199cbe5c68f44fac...
i
1a4cdde87d800ce8dcf0386585b65d68
Entropy inequalities have been a core part of information theory since its inception; their development driven largely by the role they serve in impossibility results for coding theorems. Many basic inequalities enjoyed by entropy, such as subadditivity, boil down to convexity of the logarithm, and hold in great genera...
i
9da0f381a968760bba827bb99d144c0e
Over the last few decades, Stein's methods have become one of the essential tools to prove and get a rate of convergence in Central Limit Theorems for sums of dependent random variables. It was first introduced by Charles Stein in 1972 {{cite:e0a727babda3e3ca02ce9160af9ed717876b333b}}, who combined Gaussian Integration...
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32f6d79c740e0db76ba2f878257d0afd
Compared to the GALEX-based measurements in the same redshift range of {{cite:6e631beb328acfb7846c13fa98b38194280f160d}}, our sample is smaller, covering a smaller sky area and with a shallower limiting magnitude. On the other hand, while {{cite:6e631beb328acfb7846c13fa98b38194280f160d}} suffers from systematics relate...
d
22eb854648bc48a0bd914bdabd29470e
We also compare with focal loss on Multi-Color MNIST dataset. We use {{formula:e6b0f269-ee67-4fc8-b3e6-37e48a1e88a0}} and {{formula:56858376-2bd4-43e0-bfef-08e3cf29e2ec}} as they perform the best in {{cite:42ed0124818e657a112fc386b08c1592b6dc98aa}}. The results are shown in tab.supp.comparefocal, where focal loss's r...
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This work is an important step in understanding performative prediction in dynamic environments. Moving forward there are a number of interesting future directions. In this work, we consider one class of well-motivated dynamics. Another practically motivated class of dynamics are period dynamics; indeed, in many applic...
d
369f13f0c4dd2dd062a625e622917bba
A commonly used tetrahedron method {{cite:3c07347ed4b6363f1062ac74bd74923a34bd0467}} is a popular tool of density-of-states calculation within density functional theory {{cite:8b3aaadec06748cdcd6bc080d9bf3e02b0a1f14f}}. A fundamental block of this approach is linear approximation of the spectrum within an elementary te...
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0d3fb8a989edd8ecadbf0ec646b4acc2
A more general nonstationary problem is studied in {{cite:1da536edced87c6e181227ddad1d67ee975d1f12}}, wherein the cumulative maximum variation in mean rewards is subject to a variation budget {{formula:025efac7-186b-4a6c-b0d3-25e02e7f4740}} . Additionally, the authors in {{cite:1da536edced87c6e181227ddad1d67ee975d1f12}...
i
04f5d903c8a2609f0e6d12444115b258
The effects of weak corrections in parton shower algorithms are known to become significant already at LHC energies, in particular with the upcoming luminosity upgrade, and will be even more relevant at future colliders. One of the major challenges of the construction of such a shower is the calculation of the relevant...
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What qualifies as the best performing model for SCF? Our SP-GRU learns the best fit for synthesized behavior. On the commonly used metric of NLL {{cite:9211cda377f653ad5b99ed37390e419fbe1f228b}}, {{cite:407b691bd6cfc1bc8177f6d6de666442e8ab093d}}, {{cite:401254e53e3ae71cf619a05dfbbcbf2f2557b756}}, our SP-MLP models perf...
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Figure 1: Background colors represent the maximum mass of hybrid stars for different parametrizations of the NJL model (i.e. different values of {{formula:8d25b638-7ebf-49a0-9020-eeb8b85572ab}} and {{formula:acf3a8f5-b621-4139-89d0-871018c1dfb5}} ). In each panel we use a different hadronic EoS (without hyperons): (a)...
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In this section, we provide simulation results of the proposed algorithm. The positions of users are generated according to a uniform random distribution in a circular range with a radius of 50 m. The minimum distance between the UAV and any user is 1 m. Both path loss and Rayleigh fading are considered. The parameters...
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We consider a cluster of sine tasks, one of linear tasks and one of quadratic tasks, regression problems inspired from {{cite:55e72ca3b7fd7c6acbcf55e91a318d8bcfe8e28b}}. Details on the problems can be found in Appendix REF .
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On the other hand Bennett and Brassard proposed a completely different unauthenticated key agreement protocol, now called BB84 {{cite:e26e27e55ee8d5057ef2962a2165e0b6258ccabd}}, whose security is not based on a mathematical problem, but on physical assumptions on quantum mechanical systems. In this protocol Alice needs...
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67d422b2236df676eada0ce47722b370
- Integer linear program (ILP). The standard ILP formulation of the MDADC (REF )-(REF ) {{cite:eba924fd8eb87be4b27bc1ef524c48b64698abf6}}, {{cite:e4b6763a92775748d7c7971f2884f59eba7b14d4}} involves {{formula:4572968e-e1fc-4752-aae5-ebdcd6409de1}} binary variables (the number of edges in a complete {{formula:72661b1f-6...
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Our framework may not generalize well when the size of the training data is small and/or the training data has significantly large domain gap with the test data (, synthetic FlyingThings3D to real-world KITTI). This is mainly due to the Transformer based design. Unlike convolutional networks, Transformer models do not ...
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The surface tension force {{formula:61de69e4-aae5-4252-be44-cddd21758ba5}} , in Eq. REF , refers to the continuum surface force model {{cite:30fb83f1ba6cf544cf61191555082d9bf5c987d3}}. {{formula:d78c9975-ff64-4596-a50a-0d800197e1e7}}
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By using the relation in Eq. (REF ), commonly referred to as the kernel trick, operations in the high-dimensional feature space can be computed without ever explicitly computing the coordinates of {{formula:fe9e03a3-01c8-49d5-b387-060688ddb94c}} and instead using a kernel function in inner product space. Remarkably, t...
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Another research direction was to improve the computational complexity of Courcelle's theorem, since the function {{formula:12727831-e162-49a6-bc0c-1a5a9f9c5259}} grows as an exponential tower in the quantifier depth of the MSO formula. However, Frick and Grohe {{cite:0f196416a2d402f2bc8f16ffdda22c57253f30cd}} proved ...
i
4df0d679558c76be6c6ff116e800a155
Basically, NAS can be classified into three categories: Reinforcement learning (RL) based {{cite:46c5bceb1ef893b62b141d50e7e3f0dbed989f7a}} method, evolution algorithm (EA) based {{cite:ed059c38e7110aa4643b13785c1d92661c476ab7}} method and gradient based {{cite:4e32264b867ddc2ae3d544a1db5be424c8f59f33}} method. The for...
i
cde9833db64dc89f3859fb00b9e2e4ff
Remark 1 (Unification of {{cite:73bfd1bb384e539053203140b316e8d6e2bd0155}}) If {{formula:bd925a12-48fc-4188-bb49-60b852280abf}} , then the distribution {{formula:dbdc97d6-ea97-4444-9fb7-c15c92c407b0}} is reduced to {{formula:bef8bbc0-078d-4ca8-964f-ee7e9a264db8}} and the bound (REF ) is reduced to {{formula:e6f424c2...
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Our study is motivated by the fact that over the last few years several papers{{cite:b6abd5e6a252858e60a13562304cc36ca7b88e44}}, {{cite:c08ff479e9ad4648f43702098dd3a6a768ea72b7}}, {{cite:51a885b966763f3b606ecddfe4b5a6d13c3ea1d5}}, {{cite:083baa87101d541092439c69b487080d8e1d7058}} have independently reported that vertic...
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019c4b971d2dd7e11e091114c2606103
The fact that {{formula:675fc865-0aec-40ad-95a2-791c1655c003}} admits no compact perturbations increasing its scalar curvature is known as the Geroch conjecture. By identifying faces of a large coordinate cube in {{formula:383e7c09-9035-448b-b795-72a586a4b3ae}} , one can deduce this fact from the non-existence of posi...
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576152524d771131a3c82fa7e9ef88bc
We implement an aggregation-based method TARN {{cite:5a900ad46372a2a07ae0c2cafec091a8b3f89e58}} and a matching-based method OTAM {{cite:8a99c7ff31340c6ad0dc9b430e2558905a87f176}}. We train these two models and our proposed CMOT on the meta-training set of HMDB-51, and test them on different meta-testing set. We show th...
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01e45470d09463fc9d350218b4a0b23b
Remark 1.5 Theorems REF and REF tell us that the effect of the partial confinement is so strong when {{formula:8eb303ef-0a20-4719-93fd-ec98e48f036a}} that a dimension reduction appears. On the other hand, this effect is so weak when {{formula:e9e600e6-2576-42ee-addc-87f2a024a8d4}} that we can almost ignore it. The ...
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243a521b7fbdef2907c328f504bb913f
We then raise some concerns with respect to the procedure and the benchmarks used to assess new CL methodologies. As we can see, through a pretrained model, we can achieve impressive results with respect to the current CL state-of-the-art {{cite:7cce20876ffa96dbc2871aebdf3ffcf5efef6f25}}, {{cite:33b00b51d2eb795e543f867...
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We firstly evaluate AA-RMVSNet on DTU evaluation set {{cite:7e9aec8d3f47cb7822977efc5b2a430d50c51ae8}}. The depth comparison of Scan 13 with  {{cite:4b572613b540ddf535ff134be193d30430fd6aa9}}, {{cite:3bebb764aa1c555bd4133a8b6caef50d50e773e4}} is shown in Fig. REF . Benefited from the intra-view AA module which integrat...
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7a821a0fb32b2f0a8be37bf30511ed76
Since the dawn of modern exoplanetary science in the nineties, one of its most ambitious aspirations has always been the discovery and characterization of “true” Earth analogs, i.e., rocky planets orbiting within the habitable zone (HZ) of solar twins. By looking at the distribution of the currently known exoplanets, i...
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021f3da6d6d981f8590cb28ce759bc6a
To construct a Gaussian {{formula:c7453141-65ec-4a69-997f-d22c4a3c2005}} function, we refer to the formulation proposed in the PTOLEMY project {{cite:85ad9b956f817be23b794ffa9f83ad5b66351a99}} (See also {{cite:0dc275096dc66b72e1dc341984f88a127b29dcf1}}, {{cite:8d3ba0113191fb88a8c140f5e3733862628682f0}}, {{cite:941d80a...
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The discovery of gravitational waves by LIGO {{cite:a8e65b8d2b344e0958c6c4ba5e2a7fa2909ea854}} suggests a novel possibility to observe the early universe. The comparatively weak interaction between gravity and matter means that gravitational waves will free-stream after their production, carrying with them a fingerprin...
i
e49cead65d4f269b98122e935456d350
Finally, there is the issue of scalability. Although some DGP methods have been shown to scale well to large datasets, they have not been thoroughly benchmarked on highly structured datasets such as Imagenet {{cite:2cc674e08ed4f9f971edf25edab04c009512fc3c}}. The problem lies in the model depth required to achieve good ...
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cd39c7e4f1b968b5328ab7db06d1ec0c
For further evaluation, quantitative performance is evaluated for image translation. SSIM {{cite:0994b35424667439e3677e8b5c5b971702ea68e4}}, MSE, and PSNR are used for the evaluation. The results are shown in Table REF . We can see that our model outperforms E-CDRD {{cite:c9d3b678ce203272ee327e9506bc9fee6739aa61}}, whi...
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The kernel of HAP method is the similarity paradigm link prediction algorithm. In order to verify the performance of proposed HAP method, it is compared with six other link prediction methods, including JA{{cite:c66980b4e4e250a0c6b6e6e6f88e61fb342ba4fa}}, PA{{cite:5e65aec37c8a0b4755469c1e07ca70cca9b00d44}}, CN{{cite:9e...
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{{formula:b5db6b87-d900-4470-bea0-435ccd6fc7cb}} Notice that the a.n.i. or e.n.i. property of {{formula:0760cab1-b1d0-45da-aba9-e2f9df894b70}} does not imply that {{formula:5ac174ad-b7c0-4125-9f58-310fc5f02f4e}} is regularly varying. Recall from {{cite:9e001d7123e7bfbae1044e96fa6a7145a7bb0339}} {{formula:9ce20e48-2d...
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This paper is concerned with the derived symplectic geometry (in the sense of {{cite:b80f9ceb52a95087d10991c573d245349488a3e4}}) of critical loci in the presence of symmetries. Derived symplectic geometry can be seen as a model independent, homotopy invariant, and global way of dealing with the {{formula:c02a8943-dc19-...
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All numerical simulations were performed using COMSOL Multiphysics which employs a finite element method in frequency domain for the calculation of electromagnetic fields {{cite:9933a8a0fccb7ea8bce3d1225ebec08eeb1f569f}}. Our simulation model for the design and optimization step is reduced to a unit cell with a single ...
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As seen in Table REF , we present a few statistical metrics to determine the fairness for different ethnicities in the RFW dataset using MTCNN {{cite:e093c6ae7388348875f1e5d08c33f0bbdad75744}} model and FaceNet embeddings. It is not directly evident from the results of one group getting better results consistently, but...
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A promising direction for future research is the addition of a third task, potentially radiotherapy dose plan estimation. Hence, we can generate contours that are consistent with an optimal dose planning. Further studies could also focus on sophisticated MTL network architectures similar to sluice networks {{cite:9c97a...
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The results of Section REF suggest two things. First, data complexity (i.e., the diversity of images) largely affects the pre-training rate {{formula:d1988310-0e48-4634-ab20-feaedbf1a449}} . This is reasonable because if we want a network to recognize more diverse images, we need to train it with more examples. Indeed...
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We use the Surface Evolver {{cite:6df3a6c04bb3e388d0467bdb20d15cc8d61c6b2c}} in the manner described by {{cite:a2bbb7342d26e885f4e64219a30352c8da2ab1ef}}. We create three foams of around 725 bubbles (in this range the number of bubbles does not affect the results; data not shown) between parallel walls with a Voronoi c...
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Results are replicated using the original author's covariate set for matching and model specification for regression. Since virtually all of the papers replicated in this study make use of matching in conjunction with regression {{cite:bedb74bc9bdeca8471602c24b758dc2f5fd5a1af}} we do the same here. We try to remain as ...
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0394e4ba1b5411bab7111f6e9b08d07a
In order to compute the dominant eigenvalue of {{formula:e0674bab-173f-4399-b00b-a237c732ffd7}} numerically, we retreat to intervals {{formula:bd3af1c8-e058-444d-a11a-fc0817d7c107}} for some {{formula:cfef9eb7-6b61-41d2-8817-c7db3611f6ae}} . It is shown in {{cite:063e4dfd2b4ec2e8053bb745784025420e21b8c9}} that the do...
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e3286db7edd4c54191b13e3d54f9113e
However, a complete description of these measurement processes is missing thus far. To make use of the full power of such protocols for quantum state engineering in optical quantum technologies {{cite:f73ca5b6dac1ab066c462938128b9ed291b144b3}}, {{cite:84510f589ec9ddc42206be1b1633a4a6b02afda4}}, {{cite:75ceaa87b698c7266...
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18ee0fa93854b9c70c178c1d870b670c