Zobrazeno 1 - 10
of 2 245
pro vyhledávání: '"Tran, Nam The"'
We propose a forward-backward splitting dynamical system for solving inclusion problems of the form $0\in A(x)+B(x)$ in Hilbert spaces, where $A$ is a maximal operator and $B$ is a single-valued operator. Involved operators are assumed to satisfy a g
Externí odkaz:
http://arxiv.org/abs/2407.08139
Autor:
Kästner, Linh, Shcherbyna, Volodymyir, Zeng, Huajian, Le, Tuan Anh, Schreff, Maximilian Ho-Kyoung, Osmaev, Halid, Tran, Nam Truong, Diaz, Diego, Golebiowski, Jan, Soh, Harold, Lambrecht, Jens
Publikováno v:
Robotics Science and Systems 2024, Delft Netherlands
Building upon our previous contributions, this paper introduces Arena 3.0, an extension of Arena-Bench, Arena 1.0, and Arena 2.0. Arena 3.0 is a comprehensive software stack containing multiple modules and simulation environments focusing on the deve
Externí odkaz:
http://arxiv.org/abs/2406.00837
High-dimensional linear bandits with low-dimensional structure have received considerable attention in recent studies due to their practical significance. The most common structure in the literature is sparsity. However, it may not be available in pr
Externí odkaz:
http://arxiv.org/abs/2405.13899
Autor:
Maisch, Julian, Grammel, Jonas, Tran, Nam, Jetter, Michael, Portalupi, Simone L., Hunger, David, Michler, Peter
Single-photon emitters integrated in optical micro-cavities are key elements in quantum communication applications. However, optimizing their emission properties and achieving efficient cavity coupling remain significant challenges. In this study, we
Externí odkaz:
http://arxiv.org/abs/2403.10960
Reward allocation, also known as the credit assignment problem, has been an important topic in economics, engineering, and machine learning. An important concept in reward allocation is the core, which is the set of stable allocations where no agent
Externí odkaz:
http://arxiv.org/abs/2402.07067
The main goal of this paper is to extend [J. Algebra Appl. 20 (2021), 2150074] to generalized quaternion algebras, even when these algebras are not necessarily division rings. More precisely, in such cases, the image of a multilinear polynomial evalu
Externí odkaz:
http://arxiv.org/abs/2308.16500
By a classical result of Brodmann, the function $\operatorname{depth} R/I^t$ is asymptotically a constant, i.e. there is a number $s$ such that $\operatorname{depth} R/I^t = \operatorname{depth} R/I^s$ for $t > s$. One calls the smallest number $s$ w
Externí odkaz:
http://arxiv.org/abs/2308.15021
Autor:
Dung, Le Xuan, Trung, Tran Nam
We classify the Cohen-Macaulay weighted oriented graphs whose underlying graphs have girth at least $5$.
Comment: We correct typos in Lemma 2.2
Comment: We correct typos in Lemma 2.2
Externí odkaz:
http://arxiv.org/abs/2308.11907
Publikováno v:
Pacific J. Math. 329 (2024) 147-164
Let $G$ be a simple graph on $n$ vertices. We introduce the notion of bipartite connectivity of $G$, denoted by $\operatorname{bc}(G)$ and prove that $$\lim_{s \to \infty} \operatorname{depth} (S/I(G)^{(s)}) \le \operatorname{bc}(G),$$ where $I(G)$ d
Externí odkaz:
http://arxiv.org/abs/2308.09967
Let $I$ be the edge ideal of a cycle of length $n \ge 5$ over a polynomial ring $S = \mathrm{k}[x_1,\ldots,x_n]$. We prove that for $2 \le t < \lceil (n+1)/2 \rceil$, $$\operatorname{depth} (S/I^t) = \lceil \frac{n -t + 1}{3} \rceil.$$ When $G = T_{\
Externí odkaz:
http://arxiv.org/abs/2308.00874