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We study the general approach to accelerating the convergence of the most widely used solution method of Markov decision processes with the total expected discounted reward. Inspired by the monotone behavior of the contraction mappings in…

Optimization and Control · Mathematics 2008-03-28 Oleksandr Shlakhter , Chi-Guhn Lee , Dmitry Khmelev , Nasser Jaber

Building on the open-loop algorithm we introduce a new method for the automated construction of one-loop amplitudes and their reduction to scalar integrals. The key idea is that the factorisation of one-loop integrands in a product of loop…

High Energy Physics - Phenomenology · Physics 2018-03-14 Federico Buccioni , Stefano Pozzorini , Max Zoller

We consider the task of estimating a structural model of dynamic decisions by a human agent based upon the observable history of implemented actions and visited states. This problem has an inherent nested structure: in the inner problem, an…

Machine Learning · Computer Science 2024-03-04 Siliang Zeng , Mingyi Hong , Alfredo Garcia

This paper studies the closed-loop dynamics of linear systems under approximate model predictive control (MPC). More precisely, we consider MPC implementations based on a finite number of ADMM iterations per time-step. We first show that…

Optimization and Control · Mathematics 2019-11-11 Moritz Schulze Darup , Gerrit Book

We introduce a streamlined method for evaluating in-in loop integrals using dimensional regularization for diagrams with an arbitrary number of external legs and vertices, which complements earlier work and facilitates the extraction of the…

High Energy Physics - Theory · Physics 2026-05-15 Guillermo Ballesteros , Jesús Gambín Egea , Flavio Riccardi

Achieving optimal steady-state performance in real-time is an increasingly necessary requirement of many critical infrastructure systems. In pursuit of this goal, this paper builds a systematic design framework of feedback controllers for…

Optimization and Control · Mathematics 2017-10-30 Zachary E. Nelson , Enrique Mallada

This paper deals with simultaneously fast and in-place algorithms for formulae where the result has to be linearly accumulated: some of the output variables are also input variables, linked by a linear dependency. Fundamental examples…

Symbolic Computation · Computer Science 2024-07-02 Jean-Guillaume Dumas , Bruno Grenet

In this paper we present a method of discrete modeling and analysis of multi-level dynamics of complex large-scale hierarchical dynamic systems subject to external dynamic control mechanism. In a model each state describes parallel dynamics…

Multiagent Systems · Computer Science 2008-09-17 Armen Bagdasaryan

Determining the dynamics of the expectation values for operators acting on a quantum many-body (QMB) system is a challenging task. Matrix product states (MPS) have traditionally been the "go-to" models for these systems because calculating…

Quantum Physics · Physics 2021-03-01 Justin Reyes , Sayandip Dhara , Eduardo R. Mucciolo

Impossibility of finding local realistic models for quantum correlations due to entanglement is an important fact in foundations of quantum physics, gaining now new applications in quantum information theory. We present an in-depth…

Quantum Physics · Physics 2014-01-21 Jacek Gondzio , Jacek A. Gruca , J. A. Julian Hall , Wiesław Laskowski , Marek Żukowski

We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the integrator, so that the…

Numerical Analysis · Mathematics 2019-10-29 Sergio Blanes , Fernando Casas , Mechthild Thalhammer

In this paper, we study the problem of optimal multi-robot path planning (MPP) on graphs. We propose two multiflow based integer linear programming (ILP) models that computes minimum last arrival time and minimum total distance solutions…

Robotics · Computer Science 2015-03-20 Jingjin Yu , Steven M. LaValle

In this paper, we propose and analyze an accelerated linearized Bregman (ALB) method for solving the basis pursuit and related sparse optimization problems. This accelerated algorithm is based on the fact that the linearized Bregman (LB)…

Optimization and Control · Mathematics 2011-06-28 Bo Huang , Shiqian Ma , Donald Goldfarb

We propose an algorithm to compute the dynamics of articulated rigid-bodies with different sensor distributions. Prior to the on-line computations, the proposed algorithm performs an off-line optimisation step to simplify the computational…

Robotics · Computer Science 2017-05-15 Francesco Nori

Accurate structural relaxation is critical for advanced materials design. Traditional approaches built on physics-derived first-principles calculations are computationally expensive, motivating the creation of machine-learning interatomic…

We present a new efficient algortithm for construction of linear latent structure (LLS) models. This algorithm reduces a problem of estimation of model parameters to a sequence of problems of linear algebra, which assures a low…

Probability · Mathematics 2007-06-13 Mikhail Kovtun , Igor Akushevich , Kenneth G. Manton , H. Dennis Tolley

A common pipeline in learning-based control is to iteratively estimate a model of system dynamics, and apply a trajectory optimization algorithm - e.g.~$\mathtt{iLQR}$ - on the learned model to minimize a target cost. This paper conducts a…

Machine Learning · Computer Science 2023-05-17 Daniel Pfrommer , Max Simchowitz , Tyler Westenbroek , Nikolai Matni , Stephen Tu

Operations research practitioners frequently want to model complicated functions that are are difficult to encode in their underlying optimisation framework. A common approach is to solve an approximate model, and to use a simulation to…

Optimization and Control · Mathematics 2022-07-06 Michael Forbes , Mitchell Harris , Marijn Jansen , Femke van der Schoot , Thomas Taimre

This paper introduces a computationally efficient technique for estimating high-resolution Doppler blood flow from an ultrafast ultrasound image sequence. More precisely, it consists in a new fast alternating minimization algorithm that…

Image and Video Processing · Electrical Eng. & Systems 2020-11-04 Duong-Hung Pham , Adrian Basarab , Jean-Pierre Remenieras , Paul Rodríguez , Denis Kouamé

We consider space-saving versions of several important operations on univariate polynomials, namely power series inversion and division, division with remainder, multi-point evaluation, and interpolation. Now-classical results show that…

Symbolic Computation · Computer Science 2020-09-01 Pascal Giorgi , Bruno Grenet , Daniel S. Roche