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736125ad-44a9-4af5-8450-d588e6c6b63b
On this basis, Eq. 1 is false because it implies two contradictory statements. How can there be an event at \(t_1\) if S can, before \(t_2\) , physically reverse it as if it never happened? Ref. [1]} is correct: a reversible measurement is a contradiction. The von Neumann amplification chain of Eq. 1, on which the in-...
[1]
[ [ 196, 199 ] ]
https://openalex.org/W3142343317
67c5b681-3ee2-47c1-8fed-30c96fb2b544
A large part of the (vast) literature on metric dimension reduction focuses on showing that a typical low-rank linear operator chosen randomly from a specific ensemble acts as an approximate isometry on a given set \({S}\) with high probability. For subsets \({S}\) of Euclidean space, this principle has been confirme...
[1]
[ [ 345, 348 ] ]
https://openalex.org/W2979473749
4cada0b3-94d2-48bf-90e2-8fe5f893d7ad
A large part of the (vast) literature on metric dimension reduction focuses on showing that a typical low-rank linear operator chosen randomly from a specific ensemble acts as an approximate isometry on a given set \({S}\) with high probability. For subsets \({S}\) of Euclidean space, this principle has been confirme...
[13]
[ [ 469, 473 ] ]
https://openalex.org/W2288884963
e73339d7-7f45-4b73-ba47-2e77ed4a255a
Sign language recognition is a task taking the visual content performed by sign language signers to produce the associated glosses. Early studies on SLR focused on recognizing isolated signs or gestures to produce word-level or phrase-level outputs, which followed a pattern recognition pipeline: various hand-crafted vi...
[8]
[ [ 1119, 1122 ] ]
https://openalex.org/W2188882108
407595e5-0f1a-4b94-8af6-57c5268e4caf
Sign language recognition is a task taking the visual content performed by sign language signers to produce the associated glosses. Early studies on SLR focused on recognizing isolated signs or gestures to produce word-level or phrase-level outputs, which followed a pattern recognition pipeline: various hand-crafted vi...
[13]
[ [ 1394, 1398 ] ]
https://openalex.org/W2463640844
f8c54597-a553-4271-ae5c-452456ae5e51
Sign language recognition is a task taking the visual content performed by sign language signers to produce the associated glosses. Early studies on SLR focused on recognizing isolated signs or gestures to produce word-level or phrase-level outputs, which followed a pattern recognition pipeline: various hand-crafted vi...
[16]
[ [ 1415, 1419 ] ]
https://openalex.org/W2997931247
b76fd16f-0fc9-4c6e-a86f-336b216cfe14
Although there have been impressive SLR results, the gap between glosses and spoken language sentences still exist. To address this problem, sign language translation has been studied to take the rich grammatical structures in spoken languages into consideration. It aims to generate spoken language sentences rather tha...
[2]
[ [ 367, 370 ] ]
https://openalex.org/W2799020610
7383f1e4-b8a1-4035-babf-ba02c7c981d5
Although there have been impressive SLR results, the gap between glosses and spoken language sentences still exist. To address this problem, sign language translation has been studied to take the rich grammatical structures in spoken languages into consideration. It aims to generate spoken language sentences rather tha...
[3]
[ [ 394, 397 ] ]
https://openalex.org/W2954798773
ce9b139c-7006-466e-bda8-7045d6a3e972
Although there have been impressive SLR results, the gap between glosses and spoken language sentences still exist. To address this problem, sign language translation has been studied to take the rich grammatical structures in spoken languages into consideration. It aims to generate spoken language sentences rather tha...
[4]
[ [ 574, 577 ] ]
https://openalex.org/W3114337930
c89d4d80-0b4b-442c-953b-80eec3921f07
A high-level graph characterizes the spatio-temporal relationships between the three key regions of a human body in video frames. That is, a high-level graph can be constructed with three vertices which denote facial region, left-hand region, and right-hand region, respectively. The three key regions can be obtained by...
[1]
[ [ 361, 364 ] ]
https://openalex.org/W3014641072
1d9e0889-f90c-4fa9-a496-eece11142c5f
The proposed method was evaluated on two widely used benchmark sources: PHOENIX-2014, PHOENIX-2014-T [1]} and Chinese Sign Language Recognition (CSL) [2]}, [3]}, [4]}. PHOENIX-2014 contains videos from PHOENIX TV station, which includes the weather forecast content featured with signers over a period of three years. Th...
[1]
[ [ 101, 104 ] ]
https://openalex.org/W2759302818
cb726154-ab49-4805-a3e9-f9dbc77b327b
To demonstrate the effectiveness of the proposed method, a number of recently proposed methods were compared as shown in Table REF : iterative alignment network (IAN) [1]}, which adopts an iterative alignment network to reduce the gap between videos and generated glosses, enabling a better correspondence between glosse...
[1]
[ [ 167, 170 ] ]
https://openalex.org/W2948139159
915fb1d5-d5ca-45dc-99b8-f9330775805d
To demonstrate the effectiveness of the proposed method, a number of recently proposed methods were compared as shown in Table REF : iterative alignment network (IAN) [1]}, which adopts an iterative alignment network to reduce the gap between videos and generated glosses, enabling a better correspondence between glosse...
[6]
[ [ 935, 938 ] ]
https://openalex.org/W2788334925
8180e8b3-e23d-4d70-921d-90f7a32c36de
The interfoamsolver has been validated in previous studies [1]}, and it showed nice agreement in tracking interfaces for highly inertial flows and surface-tension-driven capillary flows. Standard tests showed that the CSF formulation in interfoamled to a proper discrete balance between pressure and surface tension [1]}...
[1]
[ [ 59, 62 ], [ 316, 319 ] ]
https://openalex.org/W1973206369
98737d65-7eb3-4a3c-9c34-b55078baf934
Although details are not presented here, we independently performed validation studies to assess the quantitative predictive ability of the interfoamsolver on two-phase problems with oscillating liquid-gas interfaces. We evaluated extensive simulation results from interfoamagainst reference solutions in canonical multi...
[2]
[ [ 417, 420 ], [ 867, 870 ] ]
https://openalex.org/W2037356874
15494c25-c4be-4556-969c-26c0928468bd
Although details are not presented here, we independently performed validation studies to assess the quantitative predictive ability of the interfoamsolver on two-phase problems with oscillating liquid-gas interfaces. We evaluated extensive simulation results from interfoamagainst reference solutions in canonical multi...
[4]
[ [ 429, 432 ], [ 873, 876 ] ]
https://openalex.org/W1982595563
4a3744ec-2303-445b-8438-2c10a68ececd
This rest of the paper is organized as follows. The system model is described in Sec. II. Then in Sec. III we propose two fast optimal time allocation algorithms for the sum-throughput maximization and the min-throughput maximization, respectively. Sec. IV presents the simulation results for comparison with the algorit...
[1]
[ [ 326, 329 ] ]
https://openalex.org/W2094000142
924a805e-b494-4b44-b442-45125088dbef
The first term in Eq. (REF ) corresponds to the so-called tadpole (reducible) contribution explored in numerous studies (see, e.g., Refs. [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}). It predicts emission of photons similar to those constituting the external field or higher harmonics. The ...
[3]
[ [ 150, 153 ] ]
https://openalex.org/W1584972625
2600d80e-6237-49f6-ba9a-223b5d0a2c36
Computing now the number of pairs (REF ), we will identify the threshold value of the field amplitude \(E_0\) depending on \(\tau \) by the condition \(N^{(\text{pairs})} = 10\) . Finally, we point out that the expression (REF ) is quite universal with respect to the choice of the temporal profile of the external fie...
[1]
[ [ 534, 537 ] ]
https://openalex.org/W3205166059
937f908c-34ed-413f-9b3c-61a3441c70f2
It follows from the previous equation that the temporal factor of the ponderomotive force is nonzero only when we consider the effects of the temperature in the dielectric tensor [1]} . Hence, the temporal term of the Washimi and Karpman ponderomotive force for unmagnetized plasmas is a thermal effect. Figure REF show...
[1]
[ [ 179, 182 ] ]
https://openalex.org/W3016053968
bc997727-aeb9-4483-bf19-ed13a2a3e971
where we have written them in terms of an orthonormal basis \(\left|{x}\right\rangle \) and \(\left|{y}\right\rangle \) of a two dimensional Hilbert space and an angle \(\theta \) between them. Let us denote the overlap between them as \(\langle {\psi _0}|{\psi _1}\rangle =\cos 2\theta =:c\) . We use a three outcome...
[1]
[ [ 378, 381 ] ]
https://openalex.org/W2041907204
c6596492-f39f-49ea-8b91-633b0259a79c
The reason of the simple substitution on Eq. (REF ) is that the global performance of the unambiguous protocol is achieved by an online strategy [1]}. The online strategy is to apply an unambiguous POVM for each available copy. Being an unambiguous measurement then the probability of success with \(N\) copies coincide...
[1]
[ [ 145, 148 ] ]
https://openalex.org/W3108274925
894e7e7d-2da5-458f-bb26-1110d7a6be56
Now we can ask for collective measurements. Returning to our original question: Bob has \(N\) copies of pure states and makes collective measurements such that he has \(N_0=N/l\) chunks of \(l\) copies. Bob uses an ordering given by a function \(f:{N}\rightarrow {N}\) that for our purposes can be any function that ...
[1]
[ [ 662, 665 ] ]
https://openalex.org/W1963779635
8cf7e069-0623-479b-81cb-bb48010f0719
By Chen's theory of iterated integrals (see e.g., [1]}) we know that AMMVs must satisfy the integral shuffle relations. For example, \(&M(\check{\bar{1}})M(\check{\bar{2}})=M_{-1}^{\operatorname{od}}(1)M_{-1}^{\operatorname{od}}(2)\\=&\displaystyle \int _{0}^{1} w_{-1}^{-1} \displaystyle \int _{0}^{1} w_0w_{-1}^{-1}=\...
[1]
[ [ 51, 54 ] ]
https://openalex.org/W4230781866
d033ae73-778a-4f3e-bb48-d75bcf3fd9a4
The proof is the same as that for the corresponding results of MMVs. See [1]}.
[1]
[ [ 73, 76 ] ]
https://openalex.org/W3082022163
5f9cf838-6533-4e34-bf37-8ba2f73af7c9
In [1]}, Flajolet and Salvy used residue computations on large circular contour and specific functions to obtain more independent relations for Euler sums. These functions are of the form \(\xi (s)r(s)\) , where \(r(s):=1/{s^q}\) and \(\xi (s)\) is a product of cotangent (or cosecant) and polygamma function. Applying...
[1]
[ [ 3, 6 ] ]
https://openalex.org/W2083779556
c4709049-da7a-4c0c-81b7-e6269a57d0d6
For each weight \(w\) , we let \({\bf MB}_w\) be the conjectural basis of \(\mathbb {Q}\) -vector space generated by all AMMVs of weight \(w\) . Using Au's Mathematica package [1]}, [2]}, we obtain \(&{\bf MB}_1=\lbrace \pi ,\log (2)\rbrace ,\\&{\bf MB}_2=\lbrace G,\pi ^2,\pi \log (2),\log ^2(2)\rbrace ,\\&{\bf MB}_3=...
[1]
[ [ 177, 180 ] ]
https://openalex.org/W3041180731
59969008-8cd2-491d-82d6-b341c1d4a314
In this section, we briefly review end-to-end trainable Bilinear pooling (BP) [1]}. This method extracts representations from the same image with two CNNs and computes the cross-covariance as representation. This representation outperforms its first-order version and other second-order representations such as Fisher Ve...
[2]
[ [ 326, 329 ] ]
https://openalex.org/W1606858007
0e928f42-b40e-4723-9fb8-fe47bc0bd9b1
In this section, we compare our method to the state-of-the-art on 3 retrieval datasets: Stanford Online Products [1]}, CUB-200-2011 [2]} and Cars-196 [3]}. For Stanford Online Products and CUB-200-2011, we use the same train/test split as [1]}. For Cars-196, we use the same as [5]}. We report the standard recall@K with...
[1]
[ [ 113, 116 ], [ 239, 242 ] ]
https://openalex.org/W2963026686
ddacac0e-0a02-4ab3-b2bb-fe386b26783d
Li and Panigrahi [1]} gave an algorithm for finding exact isolating cuts using \(O(\log n)\) max-flow/mincut computations that crucially relies on the uncrossing property of mincuts. This property ensures that if we take a minimum isolating cut \(X\) containing a terminal vertex \(s\) and a crossing mincut \(Y\) , t...
[1]
[ [ 17, 20 ] ]
https://openalex.org/W3129188913
858d4662-a884-4e91-b5eb-9184a8fd3c42
The more complicated application of approximate isolating cuts is the approximate Gomory-Hu tree problem. In the recursive algorithm of Li and Panigrahi [1]}, it is crucial to ensure that the approximation is one-sided in the sense that the “large” recursive subproblem preserves mincut values exactly. But, in general, ...
[1]
[ [ 153, 156 ] ]
https://openalex.org/W3170659189
4110044f-5517-47fd-92fd-2f952bb45449
When we want to argue that flow \(f\) \(\epsilon \) -satsifies a source function \(\Delta \) , it can be inconvenient to ensure that \(|\Delta ^{f}(S)|\le \epsilon \cdot \delta (S)\) for all \(S\subseteq V\) because there are exponentially many sets. Surprisingly, there is a collection \(\mathcal {S}\) of linearly ...
[2]
[ [ 626, 629 ] ]
https://openalex.org/W4307609184
8e75c235-fdeb-48f6-9795-4f90422a9000
The second approach uses the current graph technique. Within this method, it was provided the first exponential lower bound (of type \(2^{dv}\) ) on the number of non-isomorphic face 2-colorable triangular embeddings of \(K_v\) for infinitely many values of \(v\) . Then, similar results have been also given in the cas...
[3]
[ [ 377, 380 ] ]
https://openalex.org/W2023344889
02c76d2c-ee56-4772-84a1-f425e14770d2
An \(m\times n\) partially filled (p.f., for short) array on a given set \(\Omega \) is an \(m\times n\) matrix with elements in \(\Omega \) in which some cells can be empty. Archdeacon [1]} introduced a class of p.f. arrays, called Heffter arrays, and showed how it is related to several other mathematical concepts...
[1]
[ [ 190, 193 ] ]
https://openalex.org/W2963868215
e6b2e4a6-b467-4bdc-a706-f71f635a6feb
Reasoning as in [1]}, we get the following.
[1]
[ [ 16, 19 ] ]
https://openalex.org/W3034195266
616184ad-dab5-4012-96f4-86573531150f
The Crazy Knight's Tour Problem for a given array \(A\) is denoted by \(P(A)\) , known results can be found in [1]}. Also, given a filled cell \((i,j)\) , if \(L_{\mathcal {R},\mathcal {C}}(i,j)\) covers all the filled positions of \(A\) we will say that \((\mathcal {R},\mathcal {C})\) is a solution of \(P(A)\) . T...
[1]
[ [ 112, 115 ] ]
https://openalex.org/W3134379180
d9b68799-f47a-434e-af66-917a84522755
We consider now the family of embeddings of \(K_v\) obtained by Cavenagh, Donovan, and Yazıcı in [1]}. In their constructions, all the face boundaries are cycles of length \(k\) .
[1]
[ [ 98, 101 ] ]
https://openalex.org/W3090730147
13d89151-3bb6-449d-b46a-701feed00561
(1) \(t\in \lbrace 1,2\rbrace \) and \(k\equiv 0\pmod {4}\) [1]}, [2]}; (2) \(t\in \lbrace 1,2\rbrace \) , \(k\equiv 1\pmod {4}\) and \(n\equiv 3\pmod {4}\) [3]}, [4]}; (3) \(t\in \lbrace 1,2\rbrace \) , \(k\equiv 3\pmod {4}\) and \(n\equiv 0,1\pmod {4}\) [1]}; (4) \(t=k\) , \(k\equiv 1\pmod {4}\) and \(n\equiv ...
[3]
[ [ 161, 164 ] ]
https://openalex.org/W2755624844
6f30262e-f312-43a3-ae96-a6bdc2eda6b0
The second class of techniques are overlay-based set visualizations. Here, all the elements are explicitly shown at pre-defined positions in the plane, which could represent geolocations in spatial datasets or positions of nodes in a node-link diagram of underlying network data. The techniques create visual overlays th...
[2]
[ [ 624, 627 ] ]
https://openalex.org/W2159205441
38c0f828-7c50-49b4-bc75-158233373b45
Visualizations based on bipartite graphs represent elements and sets as two types of vertices. Each element is connected by an edge to all sets containing that element, which yields a bipartite graph. General visualization techniques for (bipartite) graphs can then be employed and have been integrated in several system...
[5]
[ [ 487, 490 ] ]
https://openalex.org/W2180041965
cca408c8-99db-45dc-a027-e88122dfd40c
The archetypal analysis formulation we consider adds a constraint and forces the endmembers to be convex combinations of the pixels present in \(\mathbf {X}\) . Formally, it simply means that there exists a matrix \(\mathbf {B}\) in \(\mathbb {R}^{N \times p}\) such that \(\mathbf {E}= \mathbf {X}\mathbf {B}\) and t...
[1]
[ [ 494, 497 ] ]
https://openalex.org/W4253763636
69308d7f-c6ba-4b62-84e6-778ed671b2c5
We will now see how the negative entropy \(h\) yields explicit steps that effectively enforce the simplicial constraints. Indeed, after a short classical calculation (see, for instance [1]}), it is possible to show that the update (REF ) is equivalent to the following one: for all \(j\) in \(\lbrace 1, \ldots , d\rbr...
[1]
[ [ 186, 189 ] ]
https://openalex.org/W2016384870
1c8de755-e50e-4343-8c97-d1f13157a160
In this section, we introduce the developed dataset and compare pre-trained language models [1]}, [2]} on our dataset DocBank-TB to understand the extent to which table caption can be generated automatically. Specifically, we compared the table parts to be used, and retrieval methods to find relevant sentences by the c...
[1]
[ [ 92, 95 ] ]
https://openalex.org/W3082274269
8903cc70-0426-4d5a-8525-6fcbdfa4e6c6
In this work, we propose a fine-tuning technique, Custom Diffusion for text-to-image diffusion models. Our method is computationally and memory efficient. To overcome the above-mentioned challenges, we identify a small subset of model weights, namely the key and value mapping from text to latent features in the cross-a...
[1]
[ [ 336, 339 ] ]
https://openalex.org/W2963403868
c538cf62-0205-4324-b190-9da0f34cf8f4
Deep generative models Generative models aim to synthesize samples from a data distribution, given a set of training examples. These include GANs [1]}, [2]}, [3]}, VAEs [4]}, auto-regressive [5]}, [6]}, [7]}, flow-based [8]}, [9]}, and diffusion models [10]}, [11]}, [12]}. To improve controllability, these models can...
[10]
[ [ 255, 259 ] ]
https://openalex.org/W3036167779
1ce5eaca-b46f-420d-843b-32cb23c5ce70
Deep generative models Generative models aim to synthesize samples from a data distribution, given a set of training examples. These include GANs [1]}, [2]}, [3]}, VAEs [4]}, auto-regressive [5]}, [6]}, [7]}, flow-based [8]}, [9]}, and diffusion models [10]}, [11]}, [12]}. To improve controllability, these models can...
[29]
[ [ 582, 586 ] ]
https://openalex.org/W1797268635
f43d0376-9850-4251-bf5a-90940a9a5073
Deep generative models Generative models aim to synthesize samples from a data distribution, given a set of training examples. These include GANs [1]}, [2]}, [3]}, VAEs [4]}, auto-regressive [5]}, [6]}, [7]}, flow-based [8]}, [9]}, and diffusion models [10]}, [11]}, [12]}. To improve controllability, these models can...
[30]
[ [ 589, 593 ] ]
https://openalex.org/W1861492603
d5eee6d9-15f5-4910-851d-6b1fb5f25121
Adapting text-to-image models. Similar to our goals, two concurrent works, DreamBooth [1]} and Textual Inversion [2]}, adopt transfer learning to text-to-image diffusion models [3]}, [4]} via either fine-tuning all the parameters [1]} or introducing and optimizing a word vector [2]} for the new concept. Our work diff...
[3]
[ [ 179, 182 ] ]
https://openalex.org/W4281485151
2a256fd0-eb6e-425f-be56-d3967d25fae1
Adapting text-to-image models. Similar to our goals, two concurrent works, DreamBooth [1]} and Textual Inversion [2]}, adopt transfer learning to text-to-image diffusion models [3]}, [4]} via either fine-tuning all the parameters [1]} or introducing and optimizing a word vector [2]} for the new concept. Our work diff...
[4]
[ [ 185, 188 ] ]
https://openalex.org/W4226317937
d84017fe-b3ab-4ece-9753-13e52cf7d664
Regularization dataset. Fine-tuning on the target concept and text caption pair can lead to the issue of language drift [1]}, [2]}. For example, training on “moongate” will lead to the model forgetting the association of “moon” and “gate” with their previously trained visual concepts, as shown in Figure REF . Similar...
[4]
[ [ 685, 688 ] ]
https://openalex.org/W3135367836
91955f1e-60b4-4d57-8f7b-07c055745a5b
Baselines. We compare our method with the two concurrent works, DreamBooth [1]} (third-party implementation [2]}) and Textual Inversion [3]}. DreamBooth fine-tunes all the parameters in the diffusion model, keeping the text transformer frozen, and uses generated images as the regularization dataset. Each target conce...
[3]
[ [ 138, 141 ] ]
https://openalex.org/W4289785095
8e2554d3-a09f-4f13-9436-3bb0fb00ca14
Quantitative evaluation. We evaluate on 20 text prompts and 50 samples per prompt for each dataset, resulting in a total of 1000 generated images. We use DDPM sampling with 50 steps and a classifier-free guidance scale of 6 across all methods. As shown in Figure REF , our method outperforms the concurrent methods [1]...
[1]
[ [ 317, 320 ] ]
https://openalex.org/W4293342478
01f4d80a-4d64-4fc7-855c-9c217aabb329
We propose a new FL algorithm with only assumption of strongly convex and smooth loss functions, named FEDL. The crux of FEDL is a new local surrogate function, which is designed for each UE to solve its local problem approximately up to a local accuracy level \(\theta \) , and is characterized by a hyper-learning rat...
[1]
[ [ 784, 787 ] ]
https://openalex.org/W2541884796
338fd3f1-9bb6-4861-bb9a-698471d973cd
The first approach is based on de facto algorithm SGD with a fixed number of local iterations on each device [1]}. Despite its feasibility, these studies still have limitations as lacking the convergence analysis. The work in [2]}, on the other hand, used GD and additional assumptions on Lipschitz local functions and b...
[2]
[ [ 226, 229 ] ]
https://openalex.org/W2963318081
336a89c0-829d-4b93-a828-bc7fb693b33f
The convergence of FEDL can always be obtained by setting sufficiently small values of both \(\eta \) and \(\theta \in (0, 1)\) such that \(\Theta \in (0,1)\) . While the denominator of (REF ) is greater than 2, its numerator can be rewritten as \(2 \eta (A - B)\) , where \(A = 2(\theta -1)^2- (\theta +1)\theta (3\e...
[1]
[ [ 1223, 1226 ] ]
https://openalex.org/W2962741697
8ae2a4a5-8741-43a5-b43a-7aba5f1cbb11
Minimize both UEs' energy consumption and the FL time are conflicting. For example, the UEs can save the energy by setting the lowest frequency level all the time, but this will certainly increase the training time. Therefore, to strike the balance between energy cost and training time, the weight \(\kappa \) (Joules/...
[1]
[ [ 800, 803 ] ]
https://openalex.org/W2296319761
69005716-9bca-4d2b-8713-babbecac7364
Most recently, there have been some other approaches particularly designed to solve state classification challenge [1]}, [2]}, [3]}, [4]}. These models are based on pretrained models like VGG[5]}, ResNet[6]}, Inception network [7]}. The current state recognition challenge requires to classify the states without using a...
[5]
[ [ 191, 194 ] ]
https://openalex.org/W1686810756
d8ffa33d-0fe6-4d1a-8dcc-ea33a81a3358
Most recently, there have been some other approaches particularly designed to solve state classification challenge [1]}, [2]}, [3]}, [4]}. These models are based on pretrained models like VGG[5]}, ResNet[6]}, Inception network [7]}. The current state recognition challenge requires to classify the states without using a...
[7]
[ [ 227, 230 ] ]
https://openalex.org/W2097117768
7f07dc70-7608-4005-8a60-4aca7eefbd85
Image generation in various forms has been a long quest in the vision community, not only for its practical use and aesthetic value, but also for assessing our model's ability to disentangle and exploit different aspects of image variability. Separating content and style in image generation dates back to the seminar wo...
[3]
[ [ 521, 524 ] ]
https://openalex.org/W1959608418
6d15160c-6938-4a9c-9a84-1cd7d1acb506
Generative Adversarial Networks. Generative Adversarial Networks [1]} have achieved impressive performance in lots of computer vision tasks [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}. StyleGAN [10]} proposed an alternative generator architecture for generative adversarial networks, borrowing from style transfer lit...
[4]
[ [ 152, 155 ], [ 1112, 1115 ] ]
https://openalex.org/W2963073614
fb5f9e57-ab10-4a7e-8ae1-add74f12f506
Generative Adversarial Networks. Generative Adversarial Networks [1]} have achieved impressive performance in lots of computer vision tasks [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}. StyleGAN [10]} proposed an alternative generator architecture for generative adversarial networks, borrowing from style transfer lit...
[17]
[ [ 1775, 1779 ] ]
https://openalex.org/W2962754210
2f3357f0-52bd-4baf-b3fa-145f0d00471e
Control for image generation. Many approaches [1]}, [2]}, [3]}, [4]}, [5]} exploit the inherent disentanglement properties of GAN latent space to control the generated images. InfoGAN [6]} maximizes the mutual information between the observation and a subset of the latent variables. InfoGAN successfully disentangles wr...
[10]
[ [ 582, 586 ], [ 895, 899 ] ]
https://openalex.org/W3120777408
2df5e90f-897e-4a4e-8ccc-5e8083391a53
Overview. We start by creating an embedding of the training images that reflects their continuously varying artistic style. Vectors in the style embedding space (that we call style vectors) are subsequently used in the image generator and the extended projection discriminator [1]} that we use to help training. To be mo...
[2]
[ [ 389, 392 ] ]
https://openalex.org/W2962770929
e0208484-5a33-414a-b822-debe9e59dd65
Overview. We start by creating an embedding of the training images that reflects their continuously varying artistic style. Vectors in the style embedding space (that we call style vectors) are subsequently used in the image generator and the extended projection discriminator [1]} that we use to help training. To be mo...
[3]
[ [ 395, 398 ] ]
https://openalex.org/W3035574324
1e7cae02-25aa-449b-9dc4-8b037ec21e94
We hope to embed original artwork examples into a continuous style space which reflects their slightly varying artistic style. The Gram matrix has been widely used to extract style information from images [1]}, [2]}, it consists of the correlations between different filter responses. We use VGG-19 CNN architecture pre-...
[2]
[ [ 211, 214 ] ]
https://openalex.org/W2475287302
9cdcf903-2adb-4ef3-95c0-fae42cc11bb6
One of the basic building block of a generator \(G\) is the adaptive instance normalization (AdaIN) module [1]} defined as: \(\mathbf {AdaIN}(\mathbf {f}, \gamma , \beta ) = \gamma (\frac{\mathbf {f}-\mu (\mathbf {f})}{\sigma (\mathbf {f})})+\beta \)
[1]
[ [ 108, 111 ] ]
https://openalex.org/W2603777577
9af9fba3-f809-48fa-91a2-8428403b54bc
Metfaces [1]} with 1,336 high-quality \(1024 \times 1024\) artistic faces collected from Metropolitan Museum of Art. Selfie2anime with 3,400 anime images for training, with an image size of \(256 \times 256\) . For this dataset we follow the same experimental setting as in UGATIT [2]}. We also collected our own ext...
[1]
[ [ 10, 13 ] ]
https://openalex.org/W3104876213
5640c5a5-e2a7-4f32-91d4-112763c39d68
This example generalizes, recovering a result of [1]} about theta functions of monomial curves.
[1]
[ [ 49, 52 ] ]
https://openalex.org/W1983011652
c065b82d-d30d-4af8-af09-19b367a33b13
Conversely, suppose that \(\Lambda _C=0\) . Then it must be that \(\Lambda _{\widetilde{C}}=0\) as well. Since \(\widetilde{C}\) is a smooth curve, this implies that it is a union of projective lines, hence every component of \(C\) is rational. Hence, \(\operatorname{Jac}(\widetilde{C})=0\) and then [1]} shows that...
[1]
[ [ 305, 308 ], [ 464, 467 ] ]
https://openalex.org/W4234505739
195658c1-2392-42c4-97b8-8a5ae7e6573a
Values for the hyperparameters were obtained from preliminary experiments by evaluating the model performance on the development sets. Concretely, all neural and hybrid models used the same \(D_m = 300\) -dimensional word embeddings, the hidden-size of the LSTM was set to \(D_h = 100\) , the hidden-layer size of the at...
[1]
[ [ 469, 472 ] ]
https://openalex.org/W2964121744
d858f7a0-b3d8-4031-b9ed-6f4ac0313553
In this work, we focus on the form of collision term for dense gases and consider only spinless particles, whcih is free from the complexity of handling spinor calculations. The Wigner function for spin-0 particles is defined as [1]}, \(W(x,p)=4\pi \int \frac{d^4y}{(2\pi \hbar )^5} e^{-\frac{i}{\hbar }p\cdot y}\left\la...
[1]
[ [ 229, 232 ] ]
https://openalex.org/W659068132
e375f6b5-3f16-42b9-8f6e-e8481564e051
In ANN, deep learning uses a cascade of multiple layers for feature extraction [1]}. Convolutional neural networks (CNNs) are specific deep learning architecture that enhances state-of-the-art performance for various image tasks, such as classification, object detection, and pattern recognition [2]}. A CNN consists of ...
[1]
[ [ 79, 82 ] ]
https://openalex.org/W2919115771
d29958db-3bf8-4135-9121-9c6776cde8b8
In this report, the Hadamard method is used instead of convolution to extract the features in the images. The CNNs using the Hadamard method are implemented to show the effect of reduced energy consumption. In single-layer and three-layer CNNs, the performance of the Hadamard method is compared with convolution for MNI...
[2]
[ [ 340, 343 ] ]
https://openalex.org/W3118608800
32fc8ae3-e551-467a-919b-ea8979b9dbfb
Neutron stars are on the one side a challenge requiring to understand their properties i.e mass, radius, tidal deformability, structure etc. On the other hand, they can provide information about the dense, strongly interacting matter in a region of the phase diagram that is inaccessible to terrestrial experiments [1]},...
[3]
[ [ 327, 330 ] ]
https://openalex.org/W4246383199
ec0a69f3-20dd-4815-8326-c9214524d199
The atomic neural networks are able to describe the complex relation between the atomic energies and the local chemical environments of the atoms. These environments are described by vectors of many-body atom-centered symmetry functions (ACSF)[1]} \(\mathbf {G}_n^\alpha \) serving as structural fingerprints of the loc...
[5]
[ [ 1286, 1289 ] ]
https://openalex.org/W3141927472
a9b72e8a-43cd-4e24-a2f3-953d93f8a7da
For the generation of the reference data the local hybrid exchange-correlation functional PBE0r[1]}, [2]} including D3 dispersion corrections[3]}, [4]} was used in collinar spin-polarized DFT calculations. PBE0r considers only on-site Hartree-Fock exchange terms yielding an accurate description of the partially filled ...
[9]
[ [ 644, 647 ] ]
https://openalex.org/W3039309865
14415ab5-b7c7-45d2-85d3-9bf022a1de9d
The HDNNP and HDNNS were constructed using the RuNNer code (versions from October 19, 2020 and December 4, 2018, respectively).[1]}, [2]}, [3]} The architecture of the atomic neural networks is 180-25-20-15-1 for all elements in the HDNNP and 180-20-15-10-1 for Mn in the HDNNS, which is the only spin-polarized atom in ...
[1]
[ [ 127, 130 ] ]
https://openalex.org/W2055526416
054d3f22-4f3c-4694-b5dd-e6850ec23d5e
The HDNNP and HDNNS were constructed using the RuNNer code (versions from October 19, 2020 and December 4, 2018, respectively).[1]}, [2]}, [3]} The architecture of the atomic neural networks is 180-25-20-15-1 for all elements in the HDNNP and 180-20-15-10-1 for Mn in the HDNNS, which is the only spin-polarized atom in ...
[2]
[ [ 133, 136 ] ]
https://openalex.org/W2746244909
08090bfa-aa57-46e7-b510-7e44c81e3689
To assess the impact of the interface on the properties of the liquid, the system has to be sufficiently large to ensure the presence of a bulk-like region in the center of the liquid phase. This bulk-like region is not only important for comparing interfacial properties to those of the bulk, but also to obtain converg...
[6]
[ [ 1636, 1639 ] ]
https://openalex.org/W2900475422
2cc9b9f9-b9e9-408b-b4ce-864c025eeff1
At the \(\lbrace 100\rbrace _\mathrm {Li}\) interface the dominant PT mechanism is the hydroxylation of the solid surface (Figure REF (a)), which has been called “surface PT” in earlier work.[1]}, [2]}, [3]} An O\(^{2-}\) ion from the solid accepts one proton from an H\(_2\) O molecule such that two OH\(^-\) ions a...
[1]
[ [ 193, 196 ], [ 629, 632 ] ]
https://openalex.org/W2600764488
e8e2548f-4ed6-4947-bf24-f0bb87923735
We observe that when \(r=1\) , we obtain the linear case studied in [1]}, [2]}, [3]}. Instead values of \(r\) greater than one are useful both from an analytical and a physical point of view, as the power-type nonlinearity in the pairwise force function resembles a fractional derivative (see for instance [4]}, [5]}), ...
[2]
[ [ 74, 77 ] ]
https://openalex.org/W1993499036
fde67cb0-bc96-4e87-bcf7-ce624b1def27
On the other hand, the time integration of the model can be done by using explicit forward and backward difference techniques (see [1]}, [2]}, [3]}). The Störmer-Verlet method consists in an explicit central second-order finite difference scheme widely used in elastodynamics and in the context of wave propagation (see ...
[5]
[ [ 338, 341 ] ]
https://openalex.org/W3089129046
748867be-6c67-460c-92f6-621fc45b1189
On the other hand, the time integration of the model can be done by using explicit forward and backward difference techniques (see [1]}, [2]}, [3]}). The Störmer-Verlet method consists in an explicit central second-order finite difference scheme widely used in elastodynamics and in the context of wave propagation (see ...
[6]
[ [ 344, 347 ] ]
https://openalex.org/W2962982010
206bbce9-cd46-4ca4-9f19-3e75a63ba82a
Lemma 1 (see [1]}) For every real \(0\le \mu \le s\) , there exists a positive constant \(L\) such that \(\left\Vert u-P_N u \right\Vert _{H_p^{\mu }(V)} \le L N^{\mu -s}\left\Vert u \right\Vert _{H^s_p(V)}, \quad \text{for every $u\in H_p^{s}(V)$}.\)
[1]
[ [ 13, 16 ] ]
https://openalex.org/W2031567600
d74a8c1f-dd70-4b10-a536-a24e0862a387
To achieve a computationally efficient implementationRemark: For the sake of a fast prototyping of algorithms, the proposed time-stepping scheme is implemented in the high-level programming tool MATLAB., the matrix polynomial \(\mathbf {Q}\) is factorized such that only terms linear or quadratic in \(\mathbf {A}\) ne...
[2]
[ [ 714, 717 ] ]
https://openalex.org/W2550093246
122bed9d-4ada-43a4-b502-a6ed4b3946ec
The situation is obviously different when studying high-order accurate time-stepping methods such as the one proposed in this article. Here, larger time increments are possible due to the increased accuracy of the algorithm. Hence, it is in principle possible to apply similar refinement strategies in both space and tim...
[1]
[ [ 1612, 1615 ] ]
https://openalex.org/W1573186872
ec886f4e-93bb-47bf-9cec-b9366f887c69
In general we assume a graph \(\mathcal {G} = (\mathcal {V}, \mathcal {E})\) with the set of nodes \(\mathcal {V}\) , \(N = |\mathcal {V}|\) and the set of directed edges \(\mathcal {E} \subseteq \lbrace (i, j) \subseteq \mathcal {V} \rbrace \) . Moreover, we assume an original node feature matrix \(X \in \operatorna...
[3]
[ [ 559, 562 ] ]
https://openalex.org/W2970706905
8eb0b2ce-a79c-4c9e-8fc5-34d6190c80cf
In general we assume a graph \(\mathcal {G} = (\mathcal {V}, \mathcal {E})\) with the set of nodes \(\mathcal {V}\) , \(N = |\mathcal {V}|\) and the set of directed edges \(\mathcal {E} \subseteq \lbrace (i, j) \subseteq \mathcal {V} \rbrace \) . Moreover, we assume an original node feature matrix \(X \in \operatorna...
[5]
[ [ 583, 586 ] ]
https://openalex.org/W2912555327
2e04cd49-082b-4b09-9aa4-1c399374fe4c
CVRP For the CVRP we use the recent benchmark dataset of Uchoa et al.[1]} and select all instance up to 300 customer nodes. We define four groups of instances with 100-149 nodes as n100, 150-199 nodes as n150, 200-249 as n200 and 250-299 as n250. We compare against the same meta-heuristics mentioned above and additiona...
[3]
[ [ 455, 458 ] ]
https://openalex.org/W3098134815
b9ba7bd6-e1d8-466c-bb44-a1b3f61f5390
CVRP For the CVRP we use the recent benchmark dataset of Uchoa et al.[1]} and select all instance up to 300 customer nodes. We define four groups of instances with 100-149 nodes as n100, 150-199 nodes as n150, 200-249 as n200 and 250-299 as n250. We compare against the same meta-heuristics mentioned above and additiona...
[4]
[ [ 468, 471 ] ]
https://openalex.org/W3203997865
05061427-94c2-4892-a1ab-8d22f7b04fcf
For spatiotemporal fields \(\underline{{\rm E}}(\underline{r},t)\) and \(\underline{{\rm B}}(\underline{r},t)\) , the (real) local instantaneous AM density with reference to a location \(\underline{r}_0\) is [1]}, [2]} \(\underline{{\rm M}} (\underline{r}, \underline{r}_0, t) \stackrel{\Delta }{=} (\underline{r} - \u...
[1]
[ [ 210, 213 ] ]
https://openalex.org/W3039083618
19cc9c1c-c7c5-44cd-8376-8cb2e201df77
For each plane-wave component \(\lbrace \underline{{\cal E}}_i,\underline{{\cal H}}_i,\underline{k}_i\rbrace \) , a TE/TM decomposition is performed with respect to its plane of incidence \(o k_i z\) defining \(\phi _i=0\) [1]}, [2]}. The incident plus reflected field is aggregated across the angular spectrum by inte...
[2]
[ [ 231, 234 ], [ 524, 527 ] ]
https://openalex.org/W1981596389
d9effd9f-27ce-40a4-9593-7851c5d4d809
because the azimuthal dependence of their kernels are of the form \(\sin \phi \) , \(\cos \phi \) or \(\sin (2\phi )\) , or because \(\langle {\cal E}_{1\phi }{\cal E}^*_{2\theta }\rangle \propto \langle \sin \psi _1 \cos \psi _2 \rangle = 0\) . From (REF ) and (REF ), with the aid of [1]}, it follows that \(\langle \...
[1]
[ [ 287, 290 ] ]
https://openalex.org/W2163961553
6d1a6556-eef6-4321-a184-8a5090f368e0
For deterministic fields in vacuum, the conservation of LM density states that [1]}, [2]} \(\underline{\nabla } \cdot \underline{\underline{T}} - {\rm j}\omega \underline{P} = \underline{0}.\)
[2]
[ [ 85, 88 ] ]
https://openalex.org/W1505881492
260cfb7f-521d-4d6f-b803-9c9e7df16aa1
In contrast, the ellipsoid mapping approach recovers all the correct long-time limits by construction, as shown with green and red lines for the global and local constructions, respectively. Because these methods preserve their respective distributions and obey Liouville's theorem, it is possible to obtain converged re...
[1]
[ [ 397, 400 ] ]
https://openalex.org/W1548618691
269f6b66-17e0-4c32-a2f4-0a83db91efa6
This author has attempted to follow the lead exhibited in two excellent publications, namely a paper by H. Wiseman [1]} and an article by A. Shimony [2]}. Wiseman's paper points out how Bell's thinking evolved over the years, and he analyzes two of his papers in depth, namely [3]} and [4]}. Along the way he creates a c...
[3]
[ [ 277, 280 ] ]
https://openalex.org/W2135830616
0013c806-9bae-40e0-ba32-1d09e9cbba8e
This author has attempted to follow the lead exhibited in two excellent publications, namely a paper by H. Wiseman [1]} and an article by A. Shimony [2]}. Wiseman's paper points out how Bell's thinking evolved over the years, and he analyzes two of his papers in depth, namely [3]} and [4]}. Along the way he creates a c...
[4]
[ [ 286, 289 ] ]
https://openalex.org/W1595578028
39b58ea0-9be6-49e6-8c07-a078c2f61944
First, an advantage of trees is the possibility to implement a handling strategy for missing values (NA). Several approaches have been introduced (some of them specifically designed for classification trees), for a short overview and comparison see [1]} and references therein. In this work the approach based on so-call...
[2]
[ [ 352, 355 ] ]
https://openalex.org/W3085162807
8b66f0dd-3893-4a9b-8692-cc9b620774a1
To evaluate the classification performance across all possible classification thresholds \(\tau \) , the respective Receiving Operator Characteristic (ROC, see, for example, [1]}, [2]}) curves are inspected. An ROC curve is obtained by plotting the true positive rate (sensitivity) versus the true negative rate (specifi...
[1]
[ [ 174, 177 ] ]
https://openalex.org/W1554944419
122dad5d-f188-46ea-9557-a9d135c54582
Baseline REF shows that achieving the social welfare benchmark \(S^*\) requires two ideal conditions. Condition C1 requires the prior knowledge on the uncertain environment. Similar condition also appears in the benchmark definition of stochastic MAB [1]}. Condition C2 relaxes that fact that the agents are selfish. T...
[1]
[ [ 253, 256 ] ]
https://openalex.org/W2049934117