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Tasks that require information about the world imply a trade-off between the time spent on observation and the variance of the response. In particular, fast decisions need to rely on uncertain information. However, standard estimates of…

神经元与认知 · 定量生物学 2023-07-18 Sahel Azizpour , Viola Priesemann , Johannes Zierenberg , Anna Levina

In recent years, researchers in decision analysis and artificial intelligence (Al) have used Bayesian belief networks to build models of expert opinion. Using standard methods drawn from the theory of computational complexity, workers in…

人工智能 · 计算机科学 2013-04-08 R. Martin Chavez , Gregory F. Cooper

The Boolean constraint satisfaction problem 3-SAT is arguably the canonical NP-complete problem. In contrast, 2-SAT can not only be decided in polynomial time, but in fact in deterministic linear time. In 2006, Bravyi proposed a physically…

量子物理 · 物理学 2016-10-25 Niel de Beaudrap , Sevag Gharibian

We introduce a highly structured family of hard satisfiable 3-SAT formulas corresponding to an ordered spin-glass model from statistical physics. This model has provably "glassy" behavior; that is, it has many local optima with large energy…

统计力学 · 物理学 2012-10-19 Haixia Jia , Cristopher Moore , Bart Selman

Here we study the NP-complete $K$-SAT problem. Although the worst-case complexity of NP-complete problems is conjectured to be exponential, there exist parametrized random ensembles of problems where solutions can typically be found in…

无序系统与神经网络 · 物理学 2019-07-11 Hendrik Schawe , Roman Bleim , Alexander K. Hartmann

Many randomized approximation algorithms operate by giving a procedure for simulating a random variable $X$ which has mean $\mu$ equal to the target answer, and a relative standard deviation bounded above by a known constant $c$. Examples…

统计计算 · 统计学 2019-08-16 Mark Huber

We present an improvement on Thurley's recent randomized approximation scheme for #k-SAT where the task is to count the number of satisfying truth assignments of a Boolean function {\Phi} given as an n-variable k-CNF. We introduce a novel…

数据结构与算法 · 计算机科学 2014-06-06 Manuel Schmitt , Rolf Wanka

A heuristic model procedure for determining satisfiability of CNF-formulae is set up and described by nonlinear recursion relations for m (number of clauses), n (number of variables) and clause filling k. The system mimicked by the…

计算复杂性 · 计算机科学 2014-11-12 Bernd R. Schuh

We introduce the problem of finding a satisfying assignment to a CNF formula that must further belong to a prescribed input subspace. Equivalent formulations of the problem include finding a point outside a union of subspaces (the…

数据结构与算法 · 计算机科学 2021-08-16 Vikraman Arvind , Venkatesan Guruswami

Robotic systems are more present in our society everyday. In human-robot environments, it is crucial that end-users may correctly understand their robotic team-partners, in order to collaboratively complete a task. To increase action…

人工智能 · 计算机科学 2021-09-03 Francisco Cruz , Richard Dazeley , Peter Vamplew , Ithan Moreira

We propose a polynomially bounded, in time and space, method to decide whether a given 3-SAT formula is satisfiable or not. The tools we use here are, in fact, very simple. We first decide satisfiability for a particular 3-SAT formula,…

数据结构与算法 · 计算机科学 2024-06-11 Angela Weiss

We propose a new abstract formalism for probabilistic timed systems, Parametric Interval Probabilistic Timed Automata, based on an extension of Parametric Timed Automata and Interval Markov Chains. In this context, we consider the…

形式语言与自动机理论 · 计算机科学 2019-06-13 Étienne André , Benoît Delahaye , Paulin Fournier

This paper researches how the systematic errors in phase inversions affect the success rate and the number of iterations in optimized quantum random-walk search algorithm. Through geometric description of this algorithm, the model of the…

量子物理 · 物理学 2015-01-12 Yu-Chao Zhang , Wan-Su Bao , Xiang Wang , Xiang-Qun Fu

The random walk with choice is a well known variation to the random walk that first selects a subset of $d$ neighbours nodes and then decides to move to the node which maximizes the value of a certain metric; this metric captures the number…

数据结构与算法 · 计算机科学 2010-07-20 John Alexandris , Gregory Karagiorgos 'and' Ioannis Stavrakakis

Hypergraph has been selected as a powerful candidate for characterizing higher-order networks and has received increasing attention in recent years. In this article, we study random walks with resetting on hypergraph by utilizing spectral…

社会与信息网络 · 计算机科学 2025-05-08 Fei Ma , Xincheng Hu , Haobin Shi , Wei Pan , Ping Wang

In this paper, we propose a metric on the space of finite sets of trajectories for assessing multi-target tracking algorithms in a mathematically sound way. The main use of the metric is to compare estimates of trajectories from different…

计算机视觉与模式识别 · 计算机科学 2020-09-15 Ángel F. García-Fernández , Abu Sajana Rahmathullah , Lennart Svensson

The development of quantum algorithms based on quantum versions of random walks is placed in the context of the emerging field of quantum computing. Constructing a suitable quantum version of a random walk is not trivial: pure quantum…

量子物理 · 物理学 2007-05-23 Viv Kendon

We consider the visual feature selection to improve the estimation quality required for the accurate navigation of a robot. We build upon a key property that asserts: contributions of trackable features (landmarks) appear linearly in the…

机器人学 · 计算机科学 2019-02-05 Hossein K. Mousavi , Nader Motee

We study in-network computation on general network topologies. Specifically, we are given the description of a function, and a network with distinct nodes at which the operands of the function are made available, and a designated sink where…

分布式、并行与集群计算 · 计算机科学 2021-06-22 Iqra Altaf Gillani , Pooja Vyavahare , Amitabha Bagchi

This work presents two new algorithms for performing constraint satisfaction. The first algorithm presented, DMaxWalkSat, is a constraint solver specialized for solving dynamic, weighted constraint satisfaction problems. The second…

人工智能 · 计算机科学 2015-07-23 Gregory Hasseler