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Although many machine learning algorithms involve learning subspaces with particular characteristics, optimizing a parameter matrix that is constrained to represent a subspace can be challenging. One solution is to use Riemannian…

Machine Learning · Computer Science 2017-03-10 Stephen Giguere , Francisco Garcia , Sridhar Mahadevan

Machine learning (ML) methods offer a wide range of configurable hyperparameters that have a significant influence on their performance. While accuracy is a commonly used performance objective, in many settings, it is not sufficient.…

Machine Learning · Computer Science 2023-09-27 Romain Egele , Tyler Chang , Yixuan Sun , Venkatram Vishwanath , Prasanna Balaprakash

The efficient optimization method for locally Lipschitz continuous multiobjective optimization problems from [1] is extended from finite-dimensional problems to general Hilbert spaces. The method iteratively computes Pareto critical points,…

Optimization and Control · Mathematics 2024-02-12 Konstantin Sonntag , Bennet Gebken , Georg Müller , Sebastian Peitz , Stefan Volkwein

Improving the alignment of language models with human preferences remains an active research challenge. Previous approaches have primarily utilized Reinforcement Learning from Human Feedback (RLHF) via online RL methods such as Proximal…

Computation and Language · Computer Science 2024-01-25 Tianqi Liu , Yao Zhao , Rishabh Joshi , Misha Khalman , Mohammad Saleh , Peter J. Liu , Jialu Liu

In this paper, we introduce a novel approach for addressing the multi-objective optimization problem in large language model merging via black-box multi-objective optimization algorithms. The goal of model merging is to combine multiple…

Computation and Language · Computer Science 2024-11-26 Bingdong Li , Zixiang Di , Yanting Yang , Hong Qian , Peng Yang , Hao Hao , Ke Tang , Aimin Zhou

Many combinatorial optimization problems entail a number of hierarchically dependent optimization problems. An often used solution is to associate a suitably large cost with each individual optimization problem, such that the solution of…

Logic in Computer Science · Computer Science 2009-04-02 Josep Argelich , Ines Lynce , Joao Marques-Silva

In this work we are interested in stochastic particle methods for multi-objective optimization. The problem is formulated using parametrized, single-objective sub-problems which are solved simultaneously. To this end a consensus based…

Optimization and Control · Mathematics 2022-08-03 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

Countless science and engineering applications in multi-objective optimization (MOO) necessitate that decision-makers (DMs) select a Pareto-optimal (PO) solution which aligns with their preferences. Evaluating individual solutions is often…

A homotopy method for multi-objective optimization that produces uniformly sampled Pareto fronts by construction is presented. While the algorithm is general, of particular interest is application to simulation-based engineering…

Optimization and Control · Mathematics 2015-05-13 Andreas Adelmann , Peter Arbenz , Andrew Foster , Yves Ineichen

In the field of large language models (LLMs), aligning models with the diverse preferences of users is a critical challenge. Direct Preference Optimization (DPO) has played a key role in this area. It works by using pairs of preferences…

Computation and Language · Computer Science 2024-05-29 Yueqin Yin , Zhendong Wang , Yi Gu , Hai Huang , Weizhu Chen , Mingyuan Zhou

Many applications of large language models (LLMs), ranging from chatbots to creative writing, require nuanced subjective judgments that can differ significantly across different groups. Existing alignment algorithms can be expensive to…

Machine Learning · Computer Science 2024-10-16 Siyan Zhao , John Dang , Aditya Grover

Neural Combinatorial Optimization (NCO) has emerged as a promising approach for NP-hard problems. However, prevailing RL-based methods suffer from low sample efficiency due to sparse rewards and underused solutions. We propose Best-anchored…

Machine Learning · Computer Science 2025-06-03 Zijun Liao , Jinbiao Chen , Debing Wang , Zizhen Zhang , Jiahai Wang

Linear scalarization, i.e., combining all loss functions by a weighted sum, has been the default choice in the literature of multi-task learning (MTL) since its inception. In recent years, there is a surge of interest in developing…

Machine Learning · Computer Science 2023-09-25 Yuzheng Hu , Ruicheng Xian , Qilong Wu , Qiuling Fan , Lang Yin , Han Zhao

Multi-objective optimization (MOO) arises in many real-world applications where trade-offs between competing objectives must be carefully balanced. In the offline setting, where only a static dataset is available, the main challenge is…

Machine Learning · Computer Science 2026-02-16 Jatan Shrestha , Santeri Heiskanen , Kari Hepola , Severi Rissanen , Pekka Jääskeläinen , Joni Pajarinen

Conventional multi-objective optimisation approaches (e.g., MOO-CP or MIP) fail in group decision-making by aggregating heterogeneous objectives without a valid preference foundation, producing Pareto sets instead of a unique actionable…

Optimization and Control · Mathematics 2026-03-20 A. R. M. Wolfert

Multi-objective optimization (MOO) aims to optimize multiple, possibly conflicting objectives with widespread applications. We introduce a novel interacting particle method for MOO inspired by molecular dynamics simulations. Our approach…

Machine Learning · Computer Science 2024-11-22 Yinuo Ren , Tesi Xiao , Tanmay Gangwani , Anshuka Rangi , Holakou Rahmanian , Lexing Ying , Subhajit Sanyal

We study the novel problem of blackbox optimization of multiple objectives via multi-fidelity function evaluations that vary in the amount of resources consumed and their accuracy. The overall goal is to approximate the true Pareto set of…

Artificial Intelligence · Computer Science 2020-11-04 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

Mixed-precision quantization offers superior performance to fixed-precision quantization. It has been widely used in signal processing, communication systems, and machine learning. In mixed-precision quantization, bit allocation is…

Signal Processing · Electrical Eng. & Systems 2025-06-17 Yiming Fang , Li Chen , Yunfei Chen , Weidong Wang , Changsheng You

The key to effective alignment lies in high-quality preference data. Recent research has focused on automated alignment, which involves developing alignment systems with minimal human intervention. However, prior research has predominantly…

Computation and Language · Computer Science 2025-06-12 Hao Xiang , Bowen Yu , Hongyu Lin , Keming Lu , Yaojie Lu , Xianpei Han , Ben He , Le Sun , Jingren Zhou , Junyang Lin

Multiobjective optimization plays an increasingly important role in modern applications, where several objectives are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to…

Optimization and Control · Mathematics 2019-06-24 Stefan Banholzer , Bennet Gebken , Michael Dellnitz , Sebastian Peitz , Stefan Volkwein
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