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Central Force Optimization (CFO) is a new nature-inspired deterministic multi-dimensional search and optimization metaheuristic based on the metaphor of gravitational kinematics. CFO is applied to the PBM antenna benchmark suite and the…

Other Computer Science · Computer Science 2010-03-02 Richard A. Formato

We consider the problem of minimizing a convex function that is evolving according to unknown and possibly stochastic dynamics, which may depend jointly on time and on the decision variable itself. Such problems abound in the machine…

Optimization and Control · Mathematics 2023-05-30 Joshua Cutler , Dmitriy Drusvyatskiy , Zaid Harchaoui

We improve recently introduced consensus-based optimization method, proposed in [R. Pinnau, C. Totzeck, O. Tse and S. Martin, Math. Models Methods Appl. Sci., 27(01):183--204, 2017], which is a gradient-free optimization method for general…

Optimization and Control · Mathematics 2020-03-06 José A. Carrillo , Shi Jin , Lei Li , Yuhua Zhu

In this paper we consider a continuous description based on stochastic differential equations of the popular particle swarm optimization (PSO) process for solving global optimization problems and derive in the large particle limit the…

Numerical Analysis · Mathematics 2020-12-11 Sara Grassi , Lorenzo Pareschi

In this paper we show how to implement in a simple way some complex real-life constraints on the portfolio optimization problem, so that it becomes amenable to quantum optimization algorithms. Specifically, first we explain how to obtain…

Portfolio Management · Quantitative Finance 2021-08-23 Samuel Palmer , Serkan Sahin , Rodrigo Hernandez , Samuel Mugel , Roman Orus

This paper considers time-average optimization, where a decision vector is chosen every time step within a (possibly non-convex) set, and the goal is to minimize a convex function of the time averages subject to convex constraints on these…

Optimization and Control · Mathematics 2016-10-11 Sucha Supittayapornpong , Longbo Huang , Michael J. Neely

Consensus based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus based…

Optimization and Control · Mathematics 2024-09-06 Marvin Koß , Simon Weissmann , Jakob Zech

Recent studies have shown the great potential of diffusion models in improving reinforcement learning (RL) by modeling complex policies, expressing a high degree of multi-modality, and efficiently handling high-dimensional continuous…

Robotics · Computer Science 2025-05-14 Huiyun Jiang , Zhuang Yang

Direct preference optimization (DPO) is widely used as a simple and stable method for aligning large language models (LLMs) with human preferences. This paper investigates a generalized DPO loss that enables a policy model to match the…

Machine Learning · Computer Science 2025-10-28 Yeongmin Kim , Heesun Bae , Byeonghu Na , Il-Chul Moon

This paper introduces a novel distributed optimization technique for networked systems, which removes the dependency on specific parameter choices, notably the learning rate. Traditional parameter selection strategies in distributed…

Optimization and Control · Mathematics 2024-04-23 Rodrigo Aldana-López , Alessandro Macchelli , Giuseppe Notarstefano , Rosario Aragüés , Carlos Sagüés

This paper proposes a highly efficient quantum algorithm for portfolio optimisation targeted at near-term noisy intermediate-scale quantum computers. Recent work by Hodson et al. (2019) explored potential application of hybrid…

Quantum Physics · Physics 2021-07-29 N. Slate , E. Matwiejew , S. Marsh , J. B. Wang

Constrained reinforcement learning has achieved promising progress in safety-critical fields where both rewards and constraints are considered. However, constrained reinforcement learning methods face challenges in striking the right…

Machine Learning · Computer Science 2024-10-29 Jianmina Ma , Jingtian Ji , Yue Gao

This paper studies a distributionally robust portfolio optimization model with a cardinality constraint for limiting the number of invested assets. We formulate this model as a mixed-integer semidefinite optimization (MISDO) problem by…

Optimization and Control · Mathematics 2022-12-22 Ken Kobayashi , Yuichi Takano , Kazuhide Nakata

The alternating direction method of multipliers (ADMM) is commonly used for distributed model fitting problems, but its performance and reliability depend strongly on user-defined penalty parameters. We study distributed ADMM methods that…

Machine Learning · Computer Science 2017-06-21 Zheng Xu , Gavin Taylor , Hao Li , Mario Figueiredo , Xiaoming Yuan , Tom Goldstein

We propose a faster digital quantum algorithm for portfolio optimization using the digitized-counterdiabatic quantum optimization (DCQO) paradigm in the impulse regime, that is, where the counterdiabatic terms are dominant. Our approach…

Distributionally robust optimization (DRO) problems are increasingly seen as a viable method to train machine learning models for improved model generalization. These min-max formulations, however, are more difficult to solve. We therefore…

Machine Learning · Statistics 2020-11-03 Soumyadip Ghosh , Mark Squillante , Ebisa Wollega

Sampling-based optimization (SBO), like cross-entropy method and evolutionary algorithms, has achieved many successes in solving non-convex problems without gradients, yet its convergence is poorly understood. In this paper, we establish a…

Machine Learning · Computer Science 2026-05-19 Zeji Yi , Chaoyi Pan , Guanya Shi , Guannan Qu

Solving optimal design problems through crowdsourcing faces a dilemma: On one hand, human beings have been shown to be more effective than algorithms at searching for good solutions of certain real-world problems with high-dimensional or…

Machine Learning · Computer Science 2017-04-28 Thurston Sexton , Max Yi Ren

The cardinality-constrained mean-variance portfolio problem has garnered significant attention within contemporary finance due to its potential for achieving low risk while effectively managing risks and transaction costs. Instead of…

Optimization and Control · Mathematics 2024-07-15 Ahmad Mousavi , George Michailidis

In this paper we are concerned with the global minimization of a possibly non-smooth and non-convex objective function constrained on the unit hypersphere by means of a multi-agent derivative-free method. The proposed algorithm falls into…

Optimization and Control · Mathematics 2021-04-02 Massimo Fornasier , Hui Huang , Lorenzo Pareschi , Philippe Sünnen
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