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We present relaxed notions of simulation and bisimulation on Probabilistic Automata (PA), that allow some error epsilon. When epsilon is zero we retrieve the usual notions of bisimulation and simulation on PAs. We give logical…

形式语言与自动机理论 · 计算机科学 2011-07-07 Mathieu Tracol , Josée Desharnais , Abir Zhioua

Dominance-based Rough Set Approach (DRSA), as the extension of Pawlak's Rough Set theory, is effective and fundamentally important in Multiple Criteria Decision Analysis (MCDA). In previous DRSA models, the definitions of the upper and…

计算复杂性 · 计算机科学 2016-11-17 Junyi Chai , James N. K. Liu

Nondeterministic good-for-MDPs (GFM) automata are for MDP model checking and reinforcement learning what good-for-games (GFG) automata are for reactive synthesis: a more compact alternative to deterministic automata that displays…

形式语言与自动机理论 · 计算机科学 2026-01-01 Sven Schewe , Qiyi Tang , Tansholpan Zhanabekova

This paper deals with the state estimation problem in discrete-event systems modeled with nondeterministic finite automata, partially observed via a sensor measuring unit whose measurements (reported observations) may be vitiated by a…

信息论 · 计算机科学 2020-11-04 Yuting Li , Christoforos N. Hadjicostis , Naiqi Wu , Zhiwu Li

An acyclic deterministic finite automaton (ADFA) is a data structure that represents a set of strings (i.e., a dictionary) and facilitates a pattern searching problem of determining whether a given pattern string is present in the…

数据结构与算法 · 计算机科学 2024-10-11 Hiroki Shibata , Masakazu Ishihata , Shunsuke Inenaga

In this paper we revisit Safra's determinization constructions for automata on infinite words. We show how to construct deterministic automata with fewer states and, most importantly, parity acceptance conditions. Determinization is used in…

计算机科学中的逻辑 · 计算机科学 2019-03-14 Nir Piterman

The value 1 problem is a decision problem for probabilistic automata over finite words: given a probabilistic automaton A, are there words accepted by A with probability arbitrarily close to 1? This problem was proved undecidable recently.…

形式语言与自动机理论 · 计算机科学 2012-01-27 Nathanaël Fijalkow , Hugo Gimbert , Youssouf Oualhadj

This paper presents and analyzes an incremental algorithm for the construction of Acyclic Non-deterministic Finite-state Automata (NFA). Automata of this type are quite useful in computational linguistics, especially for storing lexicons.…

数据结构与算法 · 计算机科学 2007-05-23 Kyriakos N. Sgarbas , Nikos D. Fakotakis , George K. Kokkinakis

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

形式语言与自动机理论 · 计算机科学 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

Networks are integral parts of modern safety-critical systems and certification demands the provision of guarantees for data transmissions. Deterministic Network Calculus (DNC) can compute a worst-case bound on a data flow's end-to-end…

网络与互联网体系结构 · 计算机科学 2017-05-17 Steffen Bondorf , Paul Nikolaus , Jens B. Schmitt

This work studies the linear approximation of high-dimensional dynamical systems using low-rank dynamic mode decomposition (DMD). Searching this approximation in a data-driven approach is formalised as attempting to solve a low-rank…

机器学习 · 统计学 2021-08-23 Patrick Héas , Cédric Herzet

We consider decision problems for deterministic pushdown automata over a unary alphabet (udpda, for short). Udpda are a simple computation model that accept exactly the unary regular languages, but can be exponentially more succinct than…

形式语言与自动机理论 · 计算机科学 2014-03-04 Dmitry Chistikov , Rupak Majumdar

Automata operating on strings of nested brackets, known as input-driven pushdown automata, and as visibly pushdown automata, have been studied since the 1980s. They were extended to the case of infinite strings by Alur and Madhusudan…

形式语言与自动机理论 · 计算机科学 2020-12-08 Alexander Okhotin , Victor L. Selivanov

We consider general computational models: one-way and two-way finite automata, and logarithmic space Turing machines, all equipped with an auxiliary data structure (ADS). The definition of an ADS is based on the language of protocols of…

形式语言与自动机理论 · 计算机科学 2022-10-11 Alexander Rubtsov , Mikhail Vyalyi

We propose an efficient algorithm for determinising counting automata (CAs), i.e., finite automata extended with bounded counters. The algorithm avoids unfolding counters into control states, unlike the na\"ive approach, and thus produces…

形式语言与自动机理论 · 计算机科学 2019-10-07 Lukáš Holík , Ondřej Lengál , Olli Saarikivi , Lenka Turoňová , Margus Veanes , Tomáš Vojnar

Tensor decomposition of convolutional and fully-connected layers is an effective way to reduce parameters and FLOP in neural networks. Due to memory and power consumption limitations of mobile or embedded devices, the quantization step is…

机器学习 · 计算机科学 2023-08-10 Daria Cherniuk , Stanislav Abukhovich , Anh-Huy Phan , Ivan Oseledets , Andrzej Cichocki , Julia Gusak

This work, for the first time, introduces two constant factor approximation algorithms with linear query complexity for non-monotone submodular maximization over a ground set of size $n$ subject to a knapsack constraint, $\mathsf{DLA}$ and…

数据结构与算法 · 计算机科学 2023-07-11 Canh V. Pham , Tan D. Tran , Dung T. K. Ha , My T. Thai

We propose deterministic timed automata (DTA) as a model-independent language for specifying performance and dependability measures over continuous-time stochastic processes. Technically, these measures are defined as limit frequencies of…

系统与控制 · 计算机科学 2015-03-17 Tomáš Brázdil , Jan Krčál , Jan Křetínský , Antonín Kučera , Vojtěch Řehák

We consider weighted tree automata (wta) over strong bimonoids and their initial algebra semantics and their run semantics. There are wta for which these semantics are different; however, for bottom-up deterministic wta and for wta over…

形式语言与自动机理论 · 计算机科学 2023-06-22 Zoltán Fülöp , Dávid Kószó , Heiko Vogler

Processes (MDPs) often require frequent decision making, that is, taking an action every microsecond, second, or minute. Infinite horizon discount reward formulation is still relevant for a large portion of these applications, because…

最优化与控制 · 数学 2014-12-17 Yin-Lam Chow , Junjie Qin
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