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Mixture of Experts (MoE) are successful models for modeling heterogeneous data in many statistical learning problems including regression, clustering and classification. Generally fitted by maximum likelihood estimation via the well-known…

Machine Learning · Statistics 2018-10-30 Faicel Chamroukhi , Bao-Tuyen Huynh

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

Mixture of experts (MoE), introduced over 20 years ago, is the simplest gated modular neural network architecture. There is renewed interest in MoE because the conditional computation allows only parts of the network to be used during each…

Machine Learning · Computer Science 2023-03-01 Yamuna Krishnamurthy , Chris Watkins , Thomas Gaertner

Optimization problems are prevalent across various scenarios. Formulating and then solving optimization problems described by natural language often requires highly specialized human expertise, which could block the widespread application…

Artificial Intelligence · Computer Science 2025-03-04 Caigao Jiang , Xiang Shu , Hong Qian , Xingyu Lu , Jun Zhou , Aimin Zhou , Yang Yu

Existing studies in black-box optimization for machine learning suffer from low generalizability, caused by a typically selective choice of problem instances used for training and testing different optimization algorithms. Among other…

The Mixture-of-Experts (MoE) architecture is a powerful technique for scaling language models, yet it often suffers from expert homogenization, where experts learn redundant functionalities, thereby limiting MoE's full potential. To address…

Machine Learning · Computer Science 2026-03-03 Jiaang Li , Haibin Chen , Langming Liu , Yujin Yuan , Yadao Wang , Yizhen Zhang , Chengting Yu , Xin Tong , Weidong Zhang , Shilei Liu , Wenbo Su , Bo Zheng

Mixed-Integer Programs (MIPs) are NP-hard optimization models that arise in a broad range of decision-making applications, including finance, logistics, energy systems, and network design. Although modern commercial solvers have achieved…

Recent deep reinforcement learning methods have achieved remarkable success in solving multi-objective combinatorial optimization problems (MOCOPs) by decomposing them into multiple subproblems, each associated with a specific weight…

Artificial Intelligence · Computer Science 2026-03-23 Mingfeng Fan , Jianan Zhou , Yifeng Zhang , Yaoxin Wu , Jinbiao Chen , Guillaume Adrien Sartoretti

Model editing aims to efficiently alter the behavior of Large Language Models (LLMs) within a desired scope, while ensuring no adverse impact on other inputs. Recent years have witnessed various model editing methods been proposed. However,…

Computation and Language · Computer Science 2024-06-04 Renzhi Wang , Piji Li

Combinatorial Optimization (CO) has been a long-standing challenging research topic featured by its NP-hard nature. Traditionally such problems are approximately solved with heuristic algorithms which are usually fast but may sacrifice the…

Machine Learning · Computer Science 2021-10-26 Runzhong Wang , Zhigang Hua , Gan Liu , Jiayi Zhang , Junchi Yan , Feng Qi , Shuang Yang , Jun Zhou , Xiaokang Yang

Submodularity is an important concept in integer and combinatorial optimization. A classical submodular set function models the utility of selecting homogenous items from a single ground set, and such selections can be represented by binary…

Optimization and Control · Mathematics 2023-04-06 Simge Küçükyavuz , Qimeng Yu

Black-box optimization (BBO) has become increasingly relevant for tackling complex decision-making problems, especially in public policy domains such as police redistricting. However, its broader application in public policymaking is…

Machine Learning · Statistics 2025-01-23 Wenqian Xing , JungHo Lee , Chong Liu , Shixiang Zhu

Mixture-of-Experts (MoE) has emerged as a promising approach to scale up deep learning models due to its significant reduction in computational resources. However, the dynamic nature of MoE leads to load imbalance among experts, severely…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-16 Chenqi Zhao , Wenfei Wu , Linhai Song , Yuchen Xu , Yitao Yuan

Mixture-of-Experts (MoE) architectures have become standard in large language models, yet many of their core design choices - expert count, granularity, shared experts, load balancing, token dropping - have only been studied one or two at a…

Machine Learning · Computer Science 2026-05-13 Margaret Li , Sneha Kudugunta , Danielle Rothermel , Luke Zettlemoyer

Scaling large language models has driven remarkable advancements across various domains, yet the continual increase in model size presents significant challenges for real-world deployment. The Mixture of Experts (MoE) architecture offers a…

Machine Learning · Computer Science 2025-03-18 Shwai He , Daize Dong , Liang Ding , Ang Li

We investigate the unconstrained global optimization of functions with low effective dimensionality, that are constant along certain (unknown) linear subspaces. Extending the technique of random subspace embeddings in [Wang et al., Bayesian…

Optimization and Control · Mathematics 2020-03-24 Coralia Cartis , Adilet Otemissov

Mixture of Experts (MoE) offers remarkable performance and computational efficiency by selectively activating subsets of model parameters. Traditionally, MoE models use homogeneous experts, each with identical capacity. However, varying…

Computation and Language · Computer Science 2024-08-21 An Wang , Xingwu Sun , Ruobing Xie , Shuaipeng Li , Jiaqi Zhu , Zhen Yang , Pinxue Zhao , J. N. Han , Zhanhui Kang , Di Wang , Naoaki Okazaki , Cheng-zhong Xu

The educational competition optimizer is a recently introduced metaheuristic algorithm inspired by human behavior, originating from the dynamics of educational competition within society. Nonetheless, ECO faces constraints due to an…

Neural and Evolutionary Computing · Computer Science 2025-10-14 Baoqi Zhao , Xiong Yang , Hoileong Lee , Bowen Dong

Black-box optimization is a powerful approach for discovering global optima in noisy and expensive black-box functions, a problem widely encountered in real-world scenarios. Recently, there has been a growing interest in leveraging domain…

Machine Learning · Computer Science 2024-02-06 Dat Phan-Trong , Hung The Tran , Alistair Shilton , Sunil Gupta

Interactive Machine Learning (IML) seeks to integrate human expertise into machine learning processes. However, most existing algorithms cannot be applied to Realworld Scenarios because their state spaces and/or action spaces are limited to…

Robotics · Computer Science 2024-01-24 Nikolaus Feith , Elmar Rueckert