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We present a new optimization-based method for atomistic-to-continuum (AtC) coupling. The main idea is to cast the coupling of the atomistic and continuum models as a constrained optimization problem with virtual Dirichlet controls on the…

Numerical Analysis · Mathematics 2013-04-19 Derek Olson , Pavel Bochev , Mitchell Luskin , Alexander V. Shapeev

We propose and implement a family of quantum-informed recursive optimization (QIRO) algorithms for combinatorial optimization problems. Our approach leverages quantum resources to obtain information that is used in problem-specific…

The surge of explainable artificial intelligence methods seeks to enhance transparency and explainability in machine learning models. At the same time, there is a growing demand for explaining decisions taken through complex algorithms used…

Optimization and Control · Mathematics 2025-06-19 Daan Otto , Jannis Kurtz , S. Ilker Birbil

Adversarial Optimization (AO) provides a reliable, practical way to match two implicitly defined distributions, one of which is usually represented by a sample of real data, and the other is defined by a generator. Typically, AO involves…

Machine Learning · Computer Science 2020-05-26 Maxim Borisyak , Tatiana Gaintseva , Andrey Ustyuzhanin

Several constrained optimization problems have been adequately solved over the years thanks to advances in the metaheuristics area. In this paper, we evaluate a novel self-adaptive and auto-constructive metaheuristic called Drone Squadron…

Neural and Evolutionary Computing · Computer Science 2017-08-07 Vinícius Veloso de Melo

This study proposes a novel artificial protozoa optimizer (APO) that is inspired by protozoa in nature. The APO mimics the survival mechanisms of protozoa by simulating their foraging, dormancy, and reproductive behaviors. The APO was…

Neural and Evolutionary Computing · Computer Science 2025-05-07 Xiaopeng Wang , Vaclav Snasel , Seyedali Mirjalili , Jeng-Shyang Pan , Lingping Kong , Hisham A. Shehadeh

Large reasoning models (LRMs) have demonstrated strong performance on complex reasoning tasks, but often suffer from overthinking, generating redundant content regardless of task difficulty. Inspired by the dual process theory in cognitive…

Artificial Intelligence · Computer Science 2025-05-26 Xiaoxue Cheng , Junyi Li , Zhenduo Zhang , Xinyu Tang , Wayne Xin Zhao , Xinyu Kong , Zhiqiang Zhang

Group Relative Policy Optimization (GRPO) has emerged as a popular algorithm for reinforcement learning with large language models (LLMs). However, upon analyzing its clipping mechanism, we argue that it is suboptimal in certain scenarios.…

Machine Learning · Computer Science 2026-01-08 Chi Liu , Xin Chen

Trajectory Optimization (TO) and Reinforcement Learning (RL) offer complementary strengths for solving optimal control problems. TO efficiently computes locally optimal solutions but can struggle with non-convexity, while RL is more robust…

Robotics · Computer Science 2026-02-24 Elisa Alboni , Pietro Noah Crestaz , Elias Fontanari , Andrea Del Prete

This paper develops an adaptive observation-based efficient reinforcement learning (RL) approach for systems with uncertain drift dynamics. A novel concurrent learning adaptive extended observer (CL-AEO) is first designed to jointly…

Dynamical Systems · Mathematics 2020-11-25 Maopeng Ran , Lihua Xie

This work presents Adaptive Robot Coordination (ARC), a novel hybrid framework for multi-robot motion planning (MRMP) that employs local subproblems to resolve inter-robot conflicts. ARC creates subproblems centered around conflicts, and…

Robotics · Computer Science 2023-12-15 Irving Solis , James Motes , Mike Qin , Marco Morales , Nancy M. Amato

In this work, we present a new deterministic partition-based global optimization algorithm, HALO (Hybrid Adaptive Lipschitzian Optimization), which uses estimates of the local Lipschitz constants associated with different sub-regions of the…

Optimization and Control · Mathematics 2026-03-18 Danny D'Agostino

We focus on a simulation-based optimization problem of choosing the best design from the feasible space. Although the simulation model can be queried with finite samples, its internal processing rule cannot be utilized in the optimization…

Machine Learning · Computer Science 2021-11-02 Kuo Li , Qing-Shan Jia , Jiaqi Yan

Traditionally, optimization of radiation therapy (RT) treatment plans has been done before the initiation of RT course, using population-wide estimates for patients' response to therapy. However, recent technological advancements have…

Medical Physics · Physics 2021-02-15 Stefan C. M. ten Eikelder , Ali Ajdari , Thomas Bortfeld , Dick den Hertog

Optimization has found numerous applications in engineering, particularly since 1960s. Many optimization applications in engineering have more than one objective (or performance criterion). Such applications require multi-objective (or…

Chemical Physics · Physics 2024-07-16 Zhiyuan Wang , Seyed Reza Nabavi , Gade Pandu Rangaiah

We conduct a theoretical study of various solution methods for the adaptive fractionation problem. The two messages of this paper are: (i) dynamic programming (DP) is a useful framework for adaptive radiation therapy, particularly adaptive…

Medical Physics · Physics 2012-02-16 Jagdish Ramakrishnan , David Craft , Thomas Bortfeld , John N. Tsitsiklis

We consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

Optimization and Control · Mathematics 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada

We consider the Adaptive Regularization with Cubics approach for solving nonconvex optimization problems and propose a new variant based on inexact Hessian information chosen dynamically. The theoretical analysis of the proposed procedure…

Optimization and Control · Mathematics 2019-12-04 Stefania Bellavia , Gianmarco Gurioli , Benedetta Morini

In this paper, we present the periodic modifier-adaptation formulation of the dynamic real time optimization. The proposed formulation uses gradient information to update the problem with affine modifiers so that, upon convergence, its…

Optimization and Control · Mathematics 2023-09-19 Victor Mirasierra , Daniel Limon

Stochastic evolution of Chemical Reactions Networks (CRNs) over time is usually analysed through solving the Chemical Master Equation (CME) or performing extensive simulations. Analysing stochasticity is often needed, particularly when some…

Logic in Computer Science · Computer Science 2015-09-11 Luca Laurenti , Luca Cardelli , Marta Kwiatkowska