Zobrazeno 1 - 10
of 355
pro vyhledávání: '"GAUBERT, STEPHANE"'
Dynamical systems governed by priority rules appear in the modeling of emergency organizations and road traffic. These systems can be modeled by piecewise linear time-delay dynamics, specifically using Petri nets with priority rules. A central questi
Externí odkaz:
http://arxiv.org/abs/2411.12437
We consider a new class of repeated zero-sum games in which the payoff is the escape rate of a switched dynamical system, where at every stage, the transition is given by a nonexpansive operator depending on the actions of both players. This generali
Externí odkaz:
http://arxiv.org/abs/2410.21097
Large Language Models are transformer neural networks which are trained to produce a probability distribution on the possible next words to given texts in a corpus, in such a way that the most likely word predicted is the actual word in the training
Externí odkaz:
http://arxiv.org/abs/2405.12264
There have been many parallel streams of research studying order isomorphisms of some specific sets $\mathcal{G}$ of functions from a set $\mathcal{X}$ to $\mathbb{R}\cup\{\pm\infty\}$, such as the sets of convex or Lipschitz functions. We provide in
Externí odkaz:
http://arxiv.org/abs/2404.06857
Grigoriev and Podolskii (2018) have established a tropical analogue of the effective Nullstellensatz, showing that a system of tropical polynomial equations is solvable if and only if a linearized system obtained from a truncated Macaulay matrix is s
Externí odkaz:
http://arxiv.org/abs/2312.05859
This paper treats linear algebra over a semiring pair, in a wide range of applications to tropical algebra and related areas such as hyperrings and fuzzy rings. First we present a more general category of ``pairs'' with their morphisms, called ``weak
Externí odkaz:
http://arxiv.org/abs/2310.05257
A classical problem in ergodic continuous time control consists of studying the limit behavior of the optimal value of a discounted cost functional with infinite horizon as the discount factor $\lambda$ tends to zero. In the literature, this problem
Externí odkaz:
http://arxiv.org/abs/2306.07234
We study the tropical analogue of the notion of polar of a cone, working over the semiring of tropical numbers with signs. We characterize the cones which arise as polars of sets of tropically nonnegative vectors by an invariance property with respec
Externí odkaz:
http://arxiv.org/abs/2305.05637
We analyse an algorithm solving stochastic mean-payoff games, combining the ideas of relative value iteration and of Krasnoselskii-Mann damping. We derive parameterized complexity bounds for several classes of games satisfying irreducibility conditio
Externí odkaz:
http://arxiv.org/abs/2305.02458
We introduce a new numerical method to approximate the solution of a finite horizon deterministic optimal control problem. We exploit two Hamilton-Jacobi-Bellman PDE, arising by considering the dynamics in forward and backward time. This allows us to
Externí odkaz:
http://arxiv.org/abs/2304.10342