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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 investigate the optimal portfolio deleveraging (OPD) problem with permanent and temporary price impacts, where the objective is to maximize equity while meeting a prescribed debt/equity requirement. We take the real situation with cross…

Optimization and Control · Mathematics 2021-01-18 Hezhi Luo , Yuanyuan Chen , Xianye Zhang , Duan Li , Huixian Wu

Proximal policy optimization (PPO) approximates the trust region update using multiple epochs of clipped SGD. Each epoch may drift further from the natural gradient direction, creating path-dependent noise. To understand this drift, we can…

Machine Learning · Computer Science 2026-03-16 Zelal Su , Mustafaoglu , Sungyoung Lee , Eshan Balachandar , Risto Miikkulainen , Keshav Pingali

This paper proposes distributed algorithms to solve robust convex optimization (RCO) when the constraints are affected by nonlinear uncertainty. We adopt a scenario approach by randomly sampling the uncertainty set. To facilitate the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Keyou You , Roberto Tempo , Pei Xie

In this chapter we give an overview of the consensus-based global optimization algorithm and its recent variants. We recall the formulation and analytical results of the original model, then we discuss variants using component-wise…

Optimization and Control · Mathematics 2021-04-06 Claudia Totzeck

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

Artificial Intelligence · Computer Science 2013-02-08 Carla P. Gomes , Bart Selman

This article addresses the problem of average consensus in a multi-agent system when the desired consensus quantity is a time varying signal. Although this problem has been addressed in existing literature by linear schemes, only bounded…

Systems and Control · Electrical Eng. & Systems 2022-05-26 Rodrigo Aldana-López , Rosario Aragüés , Carlos Sagüés

This paper studies a continuous-time market {under stochastic environment} where an agent, having specified an investment horizon and a target terminal mean return, seeks to minimize the variance of the return with multiple stocks and a…

Portfolio Management · Quantitative Finance 2013-02-28 Wan-Kai Pang , Yuan-Hua Ni , Xun Li , Ka-Fai Cedric Yiu

In this paper, we propose a machine learning algorithm for time-inconsistent portfolio optimization. The proposed algorithm builds upon neural network based trading schemes, in which the asset allocation at each time point is determined by…

Portfolio Management · Quantitative Finance 2023-09-06 Kristoffer Andersson , Cornelis W. Oosterlee

In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

Optimization and Control · Mathematics 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

Optimizing objectives under constraints, where both the objectives and constraints are black box functions, is a common scenario in real-world applications such as scientific experimental design, design of medical therapies, and industrial…

Machine Learning · Computer Science 2023-10-16 Fengxue Zhang , Zejie Zhu , Yuxin Chen

A great deal of research has been conducted in the consideration of meta-heuristic optimisation methods that are able to find global optima in settings that gradient based optimisers have traditionally struggled. Of these, so-called…

Neural and Evolutionary Computing · Computer Science 2023-05-01 Max D. Champneys , Timothy J. Rogers

Hybrid-quantum classical optimization has emerged as a promising direction for addressing financial decision problems under current quantum hardware constraints. In this work we present a practical end-to-end portfolio optimization pipeline…

Portfolio optimization is an important process in finance that consists in finding the optimal asset allocation that maximizes expected returns while minimizing risk. When assets are allocated in discrete units, this is a combinatorial…

Statistical Mechanics · Physics 2022-10-04 Álvaro Rubio-García , Juan José García-Ripoll , Diego Porras

Bayesian optimization is a powerful optimization tool for problems where native first-order derivatives are unavailable. Recently, constrained Bayesian optimization (CBO) has been applied to many engineering applications where constraints…

Optimization and Control · Mathematics 2024-03-21 J. Wang , C. G. Petra , J. L. Peterson

Designing a fast and efficient optimization method with local optima avoidance capability on a variety of optimization problems is still an open problem for many researchers. In this work, the concept of a new global optimization method…

Neural and Evolutionary Computing · Computer Science 2012-08-13 Fereydoun Farrahi Moghaddam , Reza Farrahi Moghaddam , Mohamed Cheriet

In this paper, we propose a stochastic search algorithm for solving general optimization problems with little structure. The algorithm iteratively finds high quality solutions by randomly sampling candidate solutions from a parameterized…

Optimization and Control · Mathematics 2013-01-08 Enlu Zhou , Jiaqiao Hu

In decision-making problems, the outcome of an intervention often depends on the causal relationships between system components and is highly costly to evaluate. In such settings, causal Bayesian optimization (CBO) can exploit the causal…

Machine Learning · Statistics 2025-02-21 Shriya Bhatija , Paul-David Zuercher , Jakob Thumm , Thomas Bohné

Many machine learning algorithms minimize a regularized risk, and stochastic optimization is widely used for this task. When working with massive data, it is desirable to perform stochastic optimization in parallel. Unfortunately, many…

Machine Learning · Statistics 2023-11-27 Shin Matsushima , Hyokun Yun , Xinhua Zhang , S. V. N. Vishwanathan

This paper considers the problem of minimizing the time average of a controlled stochastic process subject to multiple time average constraints on other related processes. The probability distribution of the random events in the system is…

Optimization and Control · Mathematics 2016-12-20 Xiaohan Wei , Hao Yu , Michael J. Neely
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