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In statistics, it is common to encounter multi-modal and non-smooth likelihood (or objective function) maximization problems, where the parameters have known upper and lower bounds. This paper proposes a novel derivative-free global…

Optimization and Control · Mathematics 2023-09-14 Priyam Das

Model merging aims to integrate the strengths of multiple fine-tuned models into a unified model while preserving task-specific capabilities. Existing methods, represented by task arithmetic, are typically classified into global- and…

Machine Learning · Computer Science 2025-06-17 Kunda Yan , Min Zhang , Sen Cui , Zikun Qu , Bo Jiang , Feng Liu , Changshui Zhang

This study presents a novel Equiangular Direction Method (EDM) to solve a multi-objective optimization problem. We consider optimization problems, where multiple differentiable losses have to be minimized. The presented method computes…

Optimization and Control · Mathematics 2020-07-15 Alexandr Katrutsa , Daniil Merkulov , Nurislam Tursynbek , Ivan Oseledets

Bayesian optimization methods have been successfully applied to black box optimization problems that are expensive to evaluate. In this paper, we adapt the so-called super effcient global optimization algorithm to solve more accurately…

Machine Learning · Statistics 2020-06-30 Rémy Priem , Nathalie Bartoli , Youssef Diouane , Alessandro Sgueglia

Bayesian graphical models are a useful tool for understanding dependence relationships among many variables, particularly in situations with external prior information. In high-dimensional settings, the space of possible graphs becomes…

Machine Learning · Statistics 2019-02-07 Zehang Richard Li , Tyler H. McCormick

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

We propose a new, harmonically enriched multiscale coarse space (HEM) for domain decomposition methods. For a coercive high contrast model problem, we show how to enrich the coarse space so that the method is robust against any variations…

Numerical Analysis · Mathematics 2015-12-17 Martin J. Gander , Atle Loneland , Talal Rahman

Beam search is a desirable choice of test-time decoding algorithm for neural sequence models because it potentially avoids search errors made by simpler greedy methods. However, typical cross entropy training procedures for these models do…

Machine Learning · Computer Science 2017-10-10 Kartik Goyal , Graham Neubig , Chris Dyer , Taylor Berg-Kirkpatrick

The encoding of solutions in black-box optimization is a delicate, handcrafted balance between expressiveness and domain knowledge -- between exploring a wide variety of solutions, and ensuring that those solutions are useful. Our main…

Neural and Evolutionary Computing · Computer Science 2020-07-07 Adam Gaier , Alexander Asteroth , Jean-Baptiste Mouret

Multimodal Emotion Recognition in Conversation (MERC) aims to predict speakers' emotions by integrating textual, acoustic, and visual cues. Existing approaches either struggle to capture complex cross-modal interactions or experience…

Multimedia · Computer Science 2026-03-24 Xiaosen Lyu , Jiayu Xiong , Yuren Chen , Wanlong Wang , Xiaoqing Dai , Jing Wang

There is a great need for improved statistical sampling in a range of physical, chemical and biological systems. Even simulations based on correct algorithms suffer from statistical error, which can be substantial or even dominant when slow…

Computational Physics · Physics 2007-11-09 F. Marty Ytreberg , Daniel M. Zuckerman

Black-box optimization problems often require simultaneously optimizing different types of variables, such as continuous, integer, and categorical variables. Unlike integer variables, categorical variables do not necessarily have a…

Neural and Evolutionary Computing · Computer Science 2025-05-22 Ryoki Hamano , Shota Saito , Masahiro Nomura , Kento Uchida , Shinichi Shirakawa

Using noisy crowdsourced labels from multiple annotators, a deep learning-based end-to-end (E2E) system aims to learn the label correction mechanism and the neural classifier simultaneously. To this end, many E2E systems concatenate the…

Machine Learning · Computer Science 2023-06-07 Shahana Ibrahim , Tri Nguyen , Xiao Fu

There has been a lot of recent interest in designing neural network models to estimate a distribution from a set of examples. We introduce a simple modification for autoencoder neural networks that yields powerful generative models. Our…

Machine Learning · Computer Science 2015-06-08 Mathieu Germain , Karol Gregor , Iain Murray , Hugo Larochelle

We develop a new methodology for model-based clustering. Optimizing the log-likelihood provides a principled statistical framework for clustering, with solutions found via the EM algorithm. However, because the log-likelihood is nonconvex,…

Methodology · Statistics 2026-05-06 Gonzalo Mena

Learning is the basis of both biological and artificial systems when it comes to mimicking intelligent behaviors. From the classical PPO (Proximal Policy Optimization), there is a series of deep reinforcement learning algorithms which are…

Robotics · Computer Science 2025-12-16 Wanru Gong , Xinyi Zheng , Yuan Hui , Zhongjun Li , Weiqiang Wang , Xiaoqing Zhu

We consider the problem of black-box multi-objective optimization (MOO) using expensive function evaluations (also referred to as experiments), where the goal is to approximate the true Pareto set of solutions by minimizing the total…

Machine Learning · Computer Science 2021-11-05 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

Multi-access edge computing (MEC) aims to extend cloud service to the network edge to reduce network traffic and service latency. A fundamental problem in MEC is how to efficiently offload heterogeneous tasks of mobile applications from…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-27 Jin Wang , Jia Hu , Geyong Min , Albert Y. Zomaya , Nektarios Georgalas

Efficient approximation lies at the heart of large-scale machine learning problems. In this paper, we propose a novel, robust maximum entropy algorithm, which is capable of dealing with hundreds of moments and allows for computationally…

Machine Learning · Statistics 2019-06-05 Diego Granziol , Binxin Ru , Stefan Zohren , Xiaowen Doing , Michael Osborne , Stephen Roberts

Reinforcement learning (RL) enables an agent interacting with an unknown MDP $M$ to optimise its behaviour by observing transitions sampled from $M$. A natural entity that emerges in the agent's reasoning is $\widehat{M}$, the maximum…

Machine Learning · Computer Science 2025-02-24 Shivaram Kalyanakrishnan , Sheel Shah , Santhosh Kumar Guguloth