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This paper develops a distributed model predictive control (DMPC) strategy for a class of discrete-time linear systems with consideration of globally coupled constraints. The DMPC under study is based on the dual problem concerning all…

最优化与控制 · 数学 2019-07-25 Yanxu Su , Yang Shi , Changyin Sun

Stochastic Model Predictive Control addresses uncertainties by incorporating chance constraints that provide probabilistic guarantees of constraint satisfaction. However, simultaneously optimizing over the risk allocation and the feedback…

系统与控制 · 电气工程与系统科学 2026-04-07 Filipe Marques Barbosa , Johan Löfberg

The boundary control problem is a non-convex optimization and control problem in many scientific domains, including fluid mechanics, structural engineering, and heat transfer optimization. The aim is to find the optimal values for the…

机器学习 · 计算机科学 2023-10-25 Zenin Easa Panthakkalakath , Juraj Kardoš , Olaf Schenk

The objective of this paper is to develop a duality between a novel Entropy Martingale Optimal Transport problem (A) and an associated optimization problem (B). In (A) we follow the approach taken in the Entropy Optimal Transport (EOT)…

数理金融 · 定量金融 2021-09-30 Alessandro Doldi , Marco Frittelli

This paper considers the relaxed version of the transport problem for general nonlinear control systems, where the objective is to design time-varying feedback laws that transport a given initial probability measure to a target probability…

系统与控制 · 计算机科学 2018-07-27 Karthik Elamvazhuthi , Piyush Grover , Spring Berman

The growing prevalence of drift and shocks in modern decision environments exposes a gap between classical optimization theory and real-world practice. Standard models assume fixed objectives, yet organizations from hospitals to power grids…

计算金融 · 定量金融 2025-09-18 JINHO CHA

In the well known logistic map, the parameter of interest is weighted by a coefficient that decreases linearly when this parameter increases. Since such a linear decrease forms a specific case, we consider the more general case where this…

动力系统 · 数学 2017-01-23 Dominique Delcourt

The line potential energy in the cutset is used as the criterion for monitoring the generator instability, but the criterion has the following two limitations due to narrowly defined conditions. The assumption of an ideal constant power…

系统与控制 · 电气工程与系统科学 2021-06-30 Xiao Li , Chongru Liu , Jin Ma

We consider the setting of iterative learning control, or model-based policy learning in the presence of uncertain, time-varying dynamics. In this setting, we propose a new performance metric, planning regret, which replaces the standard…

机器学习 · 计算机科学 2021-03-01 Naman Agarwal , Elad Hazan , Anirudha Majumdar , Karan Singh

The goal in label-imbalanced and group-sensitive classification is to optimize relevant metrics such as balanced error and equal opportunity. Classical methods, such as weighted cross-entropy, fail when training deep nets to the terminal…

机器学习 · 计算机科学 2021-11-09 Ganesh Ramachandra Kini , Orestis Paraskevas , Samet Oymak , Christos Thrampoulidis

The mathematical models used to represent physical phenomena are generally known to be imperfect representations of reality. Model inadequacies arise for numerous reasons, such as incomplete knowledge of the phenomena or computational…

计算工程、金融与科学 · 计算机科学 2017-02-28 Teresa Portone , Damon McDougall , Robert D. Moser

Street-level bureaucrats, such as caseworkers and border guards routinely face the dilemma of whether to follow rigid policy or exercise discretion based on professional judgement. However, frequent overrides threaten consistency and…

计算机与社会 · 计算机科学 2026-02-11 Gaurab Pokharel , Sanmay Das , Patrick J. Fowler

Natural gradient descent, which preconditions a gradient descent update with the Fisher information matrix of the underlying statistical model, is a way to capture partial second-order information. Several highly visible works have…

机器学习 · 计算机科学 2020-06-09 Frederik Kunstner , Lukas Balles , Philipp Hennig

We address the problem of the achievable regret rates with online logistic regression. We derive lower bounds with logarithmic regret under $L_1$, $L_2$, and $L_\infty$ constraints on the parameter values. The bounds are dominated by $d/2…

机器学习 · 计算机科学 2020-02-20 Gil I. Shamir

This paper is about output-feedback control problems for general linear systems in the presence of given state-, control-, disturbance-, and measurement error constraints. Because the traditional separation theorem in stochastic control is…

最优化与控制 · 数学 2023-07-11 Boris Houska

Conventional models of matching markets assume that monetary transfers can clear markets by compensating for utility differentials. However, empirical patterns show that such transfers often fail to close structural preference gaps. This…

交易与市场微观结构 · 定量金融 2025-11-27 Yao Wu

Excitation energy transfer in light-harvesting aggregates is highly efficient, yet whether quantum coherence plays an operational role in transport remains debated. A central challenge is that coherence is usually inferred from…

量子物理 · 物理学 2026-03-11 Julia Liebert , Gregory D. Scholes

Foundation models often generate unreliable answers, while heuristic uncertainty estimators fail to fully distinguish correct from incorrect outputs, causing users to accept erroneous answers without any statistical guarantee. We address…

人工智能 · 计算机科学 2026-05-27 Zhiyuan Wang , Aniri , Tianlong Chen , Yue Zhang , Heng Tao Shen , Xiaoshuang Shi , Kaidi Xu

We study the positive solutions of the logistic elliptic equation with a nonlinear Neumann boundary condition that models coastal fishery harvesting ([18]). An essential role is played by the smallest eigenvalue of the Dirichlet eigenvalue…

偏微分方程分析 · 数学 2024-01-22 Kenichiro Umezu

Conventional ordering transitions, described by the Landau paradigm, are characterized by the symmetries broken at the critical point. Within the constrained manifold occurring at low temperatures in certain frustrated systems,…

统计力学 · 物理学 2014-01-14 Stephen Powell