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Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

Machine Learning · Computer Science 2024-10-16 Yuntian Gu , Xuzheng Chen

High-dimensional portfolio optimization faces significant computational challenges under complex constraints, with traditional optimization methods struggling to balance convergence speed and global exploration capability. To address this,…

Neural and Evolutionary Computing · Computer Science 2026-04-06 Mingyang Yu , Jiaqi Zhang , Haorui Yang , Adam Slowik , Jun Zhang , Jing Xu

This paper presents a multi-objective stochastic optimization method for tuning of the controller parameters of Refrigeration Systems based on Vapour Compression. Stochastic Multi Parameter Divergence Optimization (SMDO) algorithm is…

Systems and Control · Computer Science 2018-06-05 Abdullah Ates , Jie Yuan , Sina Dehghan , Yang Zhao , Celaleddin Yeroglu , YangQuan Chen

In this paper, we deal with the Front Steepest Descent algorithm for multi-objective optimization. We point out that the algorithm from the literature is often incapable, by design, of spanning large portions of the Pareto front. We thus…

Optimization and Control · Mathematics 2023-03-17 Matteo Lapucci , Pierluigi Mansueto

Direct preference optimization (DPO) has shown success in aligning diffusion models with human preference. Previous approaches typically assume a consistent preference label between final generations and noisy samples at intermediate steps,…

Machine Learning · Computer Science 2025-02-05 Jie Ren , Yuhang Zhang , Dongrui Liu , Xiaopeng Zhang , Qi Tian

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

Optimization and Control · Mathematics 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

Preference optimization has made significant progress recently, with numerous methods developed to align language models with human preferences. This paper introduces $f$-divergence Preference Optimization ($f$-PO), a novel framework that…

Computation and Language · Computer Science 2025-02-18 Jiaqi Han , Mingjian Jiang , Yuxuan Song , Stefano Ermon , Minkai Xu

Prediction models are typically optimized independently from decision optimization. A smart predict then optimize (SPO) framework optimizes prediction models to minimize downstream decision regret. In this paper we present dboost, the first…

Machine Learning · Computer Science 2023-06-08 Andrew Butler , Roy H. Kwon

This paper presents an algorithmic study and complexity analysis for solving distributionally robust multistage convex optimization (DR-MCO). We generalize the usual consecutive dual dynamic programming (DDP) algorithm to DR-MCO and propose…

Optimization and Control · Mathematics 2024-01-05 Shixuan Zhang , Xu Andy Sun

Gradient-based methods are often used for policy optimization in deep reinforcement learning, despite being vulnerable to local optima and saddle points. Although gradient-free methods (e.g., genetic algorithms or evolution strategies) help…

Machine Learning · Computer Science 2019-12-24 Xiaobai Ma , Katherine Driggs-Campbell , Zongzhang Zhang , Mykel J. Kochenderfer

We employ model predictive control for a multi-period portfolio optimization problem. In addition to the mean-variance objective, we construct a portfolio whose allocation is given by model predictive control with a risk-parity objective,…

Portfolio Management · Quantitative Finance 2021-03-22 Xiaoyue Li , A. Sinem Uysal , John M. Mulvey

Mean-reverting portfolios with few assets, but high variance, are of great interest for investors in financial markets. Such portfolios are straightforwardly profitable because they include a small number of assets whose prices not only…

Optimization and Control · Mathematics 2021-04-19 Ahmad Mousavi , Jinglai Shen

Direct Preference Optimization (DPO) has been proposed as a promising alternative to Proximal Policy Optimization (PPO) based Reinforcement Learning with Human Feedback (RLHF). However, empirical evaluations consistently reveal suboptimal…

Machine Learning · Computer Science 2025-03-03 Qinwei Ma , Jingzhe Shi , Can Jin , Jenq-Neng Hwang , Serge Belongie , Lei Li

Group Relative Policy Optimization (GRPO) effectively scales LLM reasoning but incurs prohibitive computational costs due to its extensive group-based sampling requirement. While recent selective data utilization methods can mitigate this…

Machine Learning · Computer Science 2026-03-05 Haodong Zhu , Yangyang Ren , Yanjing Li , Mingbao Lin , Linlin Yang , Xuhui Liu , Xiantong Zhen , Haiguang Liu , Baochang Zhang

We propose a gradient-free deep reinforcement learning algorithm to solve high-dimensional, finite-horizon stochastic control problems. Although the recently developed deep reinforcement learning framework has achieved great success in…

Optimization and Control · Mathematics 2025-02-03 Liyao Lyu , Jingrun Chen

We introduce a constrained optimization method for policy gradient reinforcement learning, which uses a virtual trust region to regulate each policy update. In addition to using the proximity of one single old policy as the normal trust…

Machine Learning · Computer Science 2022-09-19 Hung Le , Thommen Karimpanal George , Majid Abdolshah , Dung Nguyen , Kien Do , Sunil Gupta , Svetha Venkatesh

We address the optimization problem of simultaneously minimizing multiple objective functionals over a family of probability distributions. This type of Multi-Objective Distributional Optimization commonly arises in machine learning and…

Machine Learning · Computer Science 2025-05-27 Dai Hai Nguyen , Hiroshi Mamitsuka , Atsuyoshi Nakamura

Reinforcement Learning (RL) robot controllers usually aggregate many task objectives into one scalar reward. While large-scale proximal policy optimisation (PPO) has enabled impressive results such as robust robot locomotion in the real…

Robotics · Computer Science 2025-09-19 Humphrey Munn , Brendan Tidd , Peter Böhm , Marcus Gallagher , David Howard

Meta learning with multiple objectives can be formulated as a Multi-Objective Bi-Level optimization Problem (MOBLP) where the upper-level subproblem is to solve several possible conflicting targets for the meta learner. However, existing…

Machine Learning · Computer Science 2021-02-16 Feiyang Ye , Baijiong Lin , Zhixiong Yue , Pengxin Guo , Qiao Xiao , Yu Zhang

We extend Relative Robust Portfolio Optimisation models to allow portfolios to optimise their distance to a set of benchmarks. Portfolio managers are also given the option of computing regret in a way which is more in line with market…

Portfolio Management · Quantitative Finance 2017-01-12 Gonçalo Simões , Mark McDonald , Stacy Williams , Daniel Fenn , Raphael Hauser