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Cold-start is a notoriously difficult problem which can occur in recommendation systems, and arises when there is insufficient information to draw inferences for users or items. To address this challenge, a contextual bandit algorithm --…

机器学习 · 统计学 2021-01-13 Jack R. McKenzie , Peter A. Appleby , Thomas House , Neil Walton

We present a variational quantum algorithm for structural mechanical problems, specifically addressing crack opening simulations that traditionally require extensive computational resources. Our approach provides an alternative solution for…

This paper presents a framework to solve constrained optimization problems in an accelerated manner based on High-Order Tuners (HT). Our approach is based on reformulating the original constrained problem as the unconstrained optimization…

最优化与控制 · 数学 2022-05-27 Anjali Parashar , Priyank Srivastava , Anuradha M. Annaswamy

The coupled problems of selecting control nodes and designing control actions for nonlinear network dynamics are fundamental scientific problems with applications in many diverse fields. These problems are thoroughly studied for linear…

系统与控制 · 电气工程与系统科学 2020-08-25 Aleksandar Haber , Sebastian A. Nugroho , Patricio Torres , Ahmad F. Taha

The problem of best subset selection in linear regression is considered with the aim to find a fixed size subset of features that best fits the response. This is particularly challenging when the total available number of features is very…

统计方法学 · 统计学 2023-11-28 Sarat Moka , Benoit Liquet , Houying Zhu , Samuel Muller

We propose a novel deterministic sampling method to approximate a target distribution $\rho^*$ by minimizing the kernel discrepancy, also known as the Maximum Mean Discrepancy (MMD). By employing the general \emph{energetic variational…

机器学习 · 统计学 2025-03-12 Yindong Chen , Yiwei Wang , Lulu Kang , Chun Liu

Optimal control problems involving hybrid binary-continuous control costs are challenging due to their lack of convexity and weak lower semicontinuity. Replacing such costs with their convex relaxation leads to a primal-dual optimality…

最优化与控制 · 数学 2017-02-27 Christian Clason , Kazufumi Ito , Karl Kunisch

We discuss an online decentralized decision making problem where the agents are coupled with affine inequality constraints. Alternating Direction Method of Multipliers (ADMM) is used as the computation engine and we discuss the convergence…

系统与控制 · 电气工程与系统科学 2020-11-20 Yuxiao Chen , Mario Santillo , Mrdjan Jankovic , Aaron D. Ames

A kernel based procedure for correcting experimental data for distortions due to the finite resolution and limited detector acceptance is presented. The unfolding problem is known to be an ill-posed problem that can not be solved without…

数据分析、统计与概率 · 物理学 2012-09-19 N. D. Gagunashvili , M. Schmelling

In this work we present a general machine learning based scheme to optimize experimental control. The method utilizes the neural network to learn the relation between the control parameters and the control goal, with which the optimal…

量子气体 · 物理学 2020-11-03 Yadong Wu , Zengming Meng , Kai Wen , Chengdong Mi , Jing Zhang , Hui Zhai

This paper presents an algorithm, Voted Kernel Regularization , that provides the flexibility of using potentially very complex kernel functions such as predictors based on much higher-degree polynomial kernels, while benefitting from…

机器学习 · 计算机科学 2015-09-16 Corinna Cortes , Prasoon Goyal , Vitaly Kuznetsov , Mehryar Mohri

Decentralized optimization is well studied for smooth unconstrained problems. However, constrained problems or problems with composite terms are an open direction for research. We study structured (or composite) optimization problems, where…

最优化与控制 · 数学 2023-04-10 Alexander Rogozin , Anton Novitskii , Alexander Gasnikov

Chance-constrained programming (CCP) is one of the most difficult classes of optimization problems that has attracted the attention of researchers since the 1950s. In this survey, we focus on cases when only a limited information on the…

最优化与控制 · 数学 2022-02-15 Simge Küçükyavuz , Ruiwei Jiang

Nonconvex trajectory optimization is at the core of designing trajectories for complex autonomous systems. A challenge for nonconvex trajectory optimization methods, such as sequential convex programming, is to find an effective…

最优化与控制 · 数学 2024-09-27 Minsen Yuan , Ryan J. Caverly , Yue Yu

In this work, we develop adaptive schemes using goal-oriented error control for a highly nonlinear flow temperature model with temperature dependent density. The dual-weighted residual method for computing error indicators to steer mesh…

数值分析 · 数学 2024-04-03 Sven Beuchler , Ayhan Demircan , Bernhard Endtmayer , Uwe Morgner , Thomas Wick

Though switched dynamical systems have shown great utility in modeling a variety of physical phenomena, the construction of an optimal control of such systems has proven difficult since it demands some type of optimal mode scheduling. In…

最优化与控制 · 数学 2014-02-04 Ramanarayan Vasudevan , Humberto Gonzalez , Ruzena Bajcsy , S. Shankar Sastry

In this paper, a tractable methodology is proposed to approximate stochastic optimal feedback treatment in the context of mixed immuno-chemo therapy of cancer. The method uses a fixed-point value iteration that approximately solves a…

系统与控制 · 计算机科学 2020-10-26 Mazen Alamir

This article presents a general and novel approach to the automation of goal-oriented error control in the solution of nonlinear stationary finite element variational problems. The approach is based on automated linearization to obtain the…

数值分析 · 数学 2012-05-01 Marie E. Rognes , Anders Logg

Convex sample approximations of chance-constrained optimization problems are considered, in which chance constraints are replaced by sets of sampled constraints. We propose a randomized sample selection strategy that allows tight bounds to…

最优化与控制 · 数学 2018-05-22 Mark Cannon

A model hierarchy that is based on the one-dimensional isothermal Euler equations of fluid dynamics is used for the simulation and optimisation of gas flow through a pipeline network. Adaptive refinement strategies have the aim of bringing…

数值分析 · 数学 2017-02-01 Pia Domschke , Aseem Dua , Jeroen J. Stolwijk , Jens Lang , Volker Mehrmann
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