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In this paper, we consider linear quadratic team problems with an arbitrary number of quadratic constraints in both stochastic and deterministic settings. The team consists of players with different measurements about the state of nature.…

最优化与控制 · 数学 2015-06-03 Ather Gattami

Motivated by applications where impatience is pervasive and evaluation times are uncertain, we study a selection model where options may expire at an unknown point in time and evaluation times are stochastic. Initially, the decision-maker…

最优化与控制 · 数学 2026-02-05 Yihua Xu , Rohan Ghuge , Sebastian Perez-Salazar

We consider nonlinear scalar-input differential control systems in the vicinity of an equilibrium. When the linearized system at the equilibrium is controllable, the nonlinear system is smoothly small-time locally controllable, i.e.,…

最优化与控制 · 数学 2017-05-24 Karine Beauchard , Frédéric Marbach

In this paper, we propose a quantum computing oriented benchmark for combinatorial optimization. This benchmark, coined as QOPTLib, is composed of 40 instances equally distributed over four well-known problems: Traveling Salesman Problem,…

量子物理 · 物理学 2024-04-25 Eneko Osaba , Esther Villar-Rodriguez

Consider an M/M/$s$ queue with the additional feature that the arrival rate is a random variable of which only the mean, variance, and range are known. Using semi-infinite linear programming and duality theory for moment problems, we…

Markov automata combine non-determinism, probabilistic branching, and exponentially distributed delays. This compositional variant of continuous-time Markov decision processes is used in reliability engineering, performance evaluation and…

计算机科学中的逻辑 · 计算机科学 2017-05-11 Tim Quatmann , Sebastian Junges , Joost-Pieter Katoen

Complex multi-objective missions require the coordination of heterogeneous robots at multiple inter-connected levels, such as coalition formation, scheduling, and motion planning. The associated challenges are exacerbated when solutions to…

多智能体系统 · 计算机科学 2024-10-17 Glen Neville , Jiazhen Liu , Sonia Chernova , Harish Ravichandar

This paper is concerned with a backward stochastic linear-quadratic (LQ, for short) optimal control problem with deterministic coefficients. The weighting matrices are allowed to be indefinite, and cross-product terms in the control and…

最优化与控制 · 数学 2021-04-13 Jingrui Sun , Zhen Wu , Jie Xiong

<p>We address the general problem of determining the validity of boolean combinations of equalities and inequalities between real-valued expressions. In particular, we consider methods of establishing such assertions using only restricted…

计算机科学中的逻辑 · 计算机科学 2017-01-11 Jeremy Avigad , Harvey Friedman

We give the first non-trivial fully dynamic probabilistic tree embedding algorithm for weighted graphs undergoing edge insertions and deletions. We obtain a trade-off between amortized update time and expected stretch against an oblivious…

数据结构与算法 · 计算机科学 2020-04-24 Sebastian Forster , Gramoz Goranci , Monika Henzinger

We contribute the first randomized algorithm that is an integration of arbitrarily many deterministic algorithms for the fully online multiprocessor scheduling with testing problem. When there are two machines, we show that with two…

数据结构与算法 · 计算机科学 2023-06-29 Mingyang Gong , Zhi-Zhong Chen , Guohui Lin , Lusheng Wang

Variational quantum algorithms dominate contemporary gate-based quantum enhanced optimisation, eigenvalue estimation and machine learning. Here we establish the quantum computational universality of variational quantum computation by…

量子物理 · 物理学 2021-05-25 Jacob Biamonte

Chaos is a fundamental feature of many complex dynamical systems, including weather systems and fluid turbulence. These systems are inherently difficult to predict due to their extreme sensitivity to initial conditions. Many chaotic systems…

系统与控制 · 电气工程与系统科学 2025-12-02 Andrea Goertzen , Sunbochen Tang , Navid Azizan

We analyze the long time behavior of a quantum computer running a quantum error correction (QEC) code in the presence of a correlated environment. Starting from a Hamiltonian formulation of realistic noise models, and assuming that QEC is…

量子物理 · 物理学 2008-07-11 E. Novais , Eduardo R. Mucciolo , Harold U. Baranger

This paper introduces the use of tailored variational forms for variational quantum eigensolver that have properties of representing certain constraints on the search domain of a linear constrained quadratic binary optimization problem…

量子物理 · 物理学 2020-11-30 Miguel Paredes Quinones , Catarina Junqueira

Q-Learning is a fundamental off-policy reinforcement learning (RL) algorithm that has the objective of approximating action-value functions in order to learn optimal policies. Nonetheless, it has difficulties in reconciling bias with…

机器学习 · 计算机科学 2024-11-22 Mahammad Humayoo

Quantum annealing (QA) is a practical model of adiabatic quantum computation, already realized on hardware and considered promising for combinatorial optimization. However, its performance is critically dependent on the annealing schedule…

When a Genetic Algorithm (GA), or a stochastic algorithm in general, is employed in a statistical problem, the obtained result is affected by both variability due to sampling, that refers to the fact that only a sample is observed, and…

统计计算 · 统计学 2019-03-07 Manuel Rizzo , Francesco Battaglia

Within the framework of complex system design, it is often necessary to solve mixed variable optimization problems, in which the objective and constraint functions can depend simultaneously on continuous and discrete variables.…

最优化与控制 · 数学 2020-03-10 Julien Pelamatti , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

Qualitative probabilistic reasoning in a Bayesian network often reveals tradeoffs: relationships that are ambiguous due to competing qualitative influences. We present two techniques that combine qualitative and numeric probabilistic…

人工智能 · 计算机科学 2013-02-01 Chao-Lin Liu , Michael P. Wellman