Zobrazeno 1 - 10
of 497
pro vyhledávání: '"Hirai Hiroshi"'
Autor:
Hirai, Hiroshi, Sakabe, Keiya
In this paper, we study asymptotic behaviors of continuous-time and discrete-time gradient flows of a ``lower-unbounded" convex function $f$ on a Hadamard manifold $M$, particularly, their convergence properties to the boundary $M^{\infty}$ at infini
Externí odkaz:
http://arxiv.org/abs/2404.09746
We address the computation of the degrees of minors of a noncommutative symbolic matrix of form \[ A[c] := \sum_{k=1}^m A_k t^{c_k} x_k, \] where $A_k$ are matrices over a field $\mathbb{K}$, $x_i$ are noncommutative variables, $c_k$ are integer weig
Externí odkaz:
http://arxiv.org/abs/2310.15502
Publikováno v:
2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS 2023)
Interior-point methods offer a highly versatile framework for convex optimization that is effective in theory and practice. A key notion in their theory is that of a self-concordant barrier. We give a suitable generalization of self-concordance to Ri
Externí odkaz:
http://arxiv.org/abs/2303.04771
Autor:
Hirai, Hiroshi, Sato, Ryosuke
In this study, we propose the polyhedral clinching auction for indivisible goods, which has so far been studied for divisible goods. As in the divisible setting by Goel et al. (2015), our mechanism enjoys incentive compatibility, individual rationali
Externí odkaz:
http://arxiv.org/abs/2303.00231
Autor:
Hirai, Hiroshi
In this paper, we address an extension of the theory of self-concordant functions for a manifold. We formulate the self-concordance of a geodesically convex function by a condition of the covariant derivative of its Hessian, and verify that many of t
Externí odkaz:
http://arxiv.org/abs/2212.10981
For a given nonnegative matrix $A=(A_{ij})$, the matrix scaling problem asks whether $A$ can be scaled to a doubly stochastic matrix $D_1AD_2$ for some positive diagonal matrices $D_1,D_2$.The Sinkhorn algorithm is a simple iterative algorithm, which
Externí odkaz:
http://arxiv.org/abs/2204.07425
Autor:
Hayashi, Koyo, Hirai, Hiroshi
A basic property in a modular lattice is that any two flags generate a distributive sublattice. It is shown (Abels 1991, Herscovic 1998) that two flags in a semimodular lattice no longer generate such a good sublattice, whereas shortest galleries con
Externí odkaz:
http://arxiv.org/abs/2204.03188
Publikováno v:
In Archives of Gerontology and Geriatrics February 2025 129
Autor:
Hirai, Hiroshi
In this paper, we address the bounded/unbounded determination of geodesically convex optimization on Hadamard spaces. In Euclidean convex optimization, the recession function is a basic tool to study the unboundedness, and provides the domain of the
Externí odkaz:
http://arxiv.org/abs/2203.03193
Autor:
DiPeri, Timothy P., Zhao, Ming, Evans, Kurt W., Varadarajan, Kaushik, Moss, Tyler, Scott, Stephen, Kahle, Michael P., Byrnes, Charnel C., Chen, Huiqin, Lee, Sunyoung S., Halim, Abdel-Baset, Hirai, Hiroshi, Wacheck, Volker, Kwong, Lawrence N., Rodon, Jordi, Javle, Milind, Meric-Bernstam, Funda
Publikováno v:
In Journal of Hepatology February 2024 80(2):322-334