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We propose a novel information-theoretic approach for Bayesian optimization called Predictive Entropy Search (PES). At each iteration, PES selects the next evaluation point that maximizes the expected information gained with respect to the…

Machine Learning · Statistics 2014-06-11 José Miguel Hernández-Lobato , Matthew W. Hoffman , Zoubin Ghahramani

Nonlinear equations systems (NESs) are widely used in real-world problems while they are also difficult to solve due to their characteristics of nonlinearity and multiple roots. Evolutionary algorithm (EA) is one of the methods for solving…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Aijuan Song , Guohua Wu , Witold Pedrycz

Latent Gaussian models have a rich history in statistics and machine learning, with applications ranging from factor analysis to compressed sensing to time series analysis. The classical method for maximizing the likelihood of these models…

Machine Learning · Computer Science 2023-06-07 Alexander Lin , Bahareh Tolooshams , Yves Atchadé , Demba Ba

We introduce a constrained optimization framework for training transformers that behave like optimization descent algorithms. Specifically, we enforce layerwise descent constraints on the objective function and replace standard empirical…

Machine Learning · Computer Science 2026-01-27 Javier Porras-Valenzuela , Samar Hadou , Alejandro Ribeiro

Evolution Strategies (ES) emerged as a scalable alternative to popular Reinforcement Learning (RL) techniques, providing an almost perfect speedup when distributed across hundreds of CPU cores thanks to a reduced communication overhead.…

Machine Learning · Statistics 2018-11-13 Víctor Campos , Xavier Giro-i-Nieto , Jordi Torres

Evolutionary Neural Architecture Search (ENAS) can automatically design the architectures of Deep Neural Networks (DNNs) using evolutionary computation algorithms. However, most ENAS algorithms require intensive computational resource,…

Machine Learning · Computer Science 2020-09-08 Yanan Sun , Xian Sun , Yuhan Fang , Gary Yen

Evolutionary Strategies (ES) are a popular family of black-box zeroth-order optimization algorithms which rely on search distributions to efficiently optimize a large variety of objective functions. This paper investigates the potential…

Neural and Evolutionary Computing · Computer Science 2019-02-01 Louis Faury , Clement Calauzenes , Olivier Fercoq , Syrine Krichen

Efficient Natural Evolution Strategies (eNES) is a novel alternative to conventional evolutionary algorithms, using the natural gradient to adapt the mutation distribution. Unlike previous methods based on natural gradients, eNES uses a…

Artificial Intelligence · Computer Science 2012-09-27 Yi Sun , Daan Wierstra , Tom Schaul , Juergen Schmidhuber

One of the biggest missing capabilities in current AI systems is the ability to learn continuously after deployment. Implementing such continually learning systems have several challenges, one of which is the large memory requirement of…

Machine Learning · Computer Science 2026-01-29 Immanuel Abdi , Akshat Gupta , Micah Mok , Alexander Lu , Nicholas Lee , Gopala Anumanchipalli

Finding Minimal Unsatisfiable Subsets (MUSes) of binary constraints is a common problem in infeasibility analysis of over-constrained systems. However, because of the exponential search space of the problem, enumerating MUSes is extremely…

Artificial Intelligence · Computer Science 2024-02-27 Panagiotis Lymperopoulos , Liping Liu

Alignment of Large Language Models (LLMs) typically relies on Reinforcement Learning from Human Feedback (RLHF) with gradient-based optimizers such as Proximal Policy Optimization (PPO) or Group Relative Policy Optimization (GRPO). While…

Hyperparameters of deep neural networks are often optimized by grid search, random search or Bayesian optimization. As an alternative, we propose to use the Covariance Matrix Adaptation Evolution Strategy (CMA-ES), which is known for its…

Neural and Evolutionary Computing · Computer Science 2016-04-26 Ilya Loshchilov , Frank Hutter

Single-cell sequencing is revolutionizing biology by enabling detailed investigations of cell-state transitions. Many biological processes unfold along continuous trajectories, yet it remains challenging to extract smooth, low-dimensional…

Machine Learning · Statistics 2025-06-30 Rong Ma , Xi Li , Jingyuan Hu , Bin Yu

The success of graph embeddings or node representation learning in a variety of downstream tasks, such as node classification, link prediction, and recommendation systems, has led to their popularity in recent years. Representation learning…

Machine Learning · Computer Science 2018-09-07 Saba A. Al-Sayouri , Danai Koutra , Evangelos E. Papalexakis , Sarah S. Lam

Despite recent innovations in network architectures and loss functions, training RNNs to learn long-term dependencies remains difficult due to challenges with gradient-based optimisation methods. Inspired by the success of Deep…

Machine Learning · Statistics 2019-05-24 Bryan Lim , Stefan Zohren , Stephen Roberts

Deep learning has achieved remarkable success in graph-related tasks, yet this accomplishment heavily relies on large-scale high-quality annotated datasets. However, acquiring such datasets can be cost-prohibitive, leading to the practical…

Machine Learning · Computer Science 2024-03-11 Ling-Hao Chen , Yuanshuo Zhang , Taohua Huang , Liangcai Su , Zeyi Lin , Xi Xiao , Xiaobo Xia , Tongliang Liu

Combinatorial optimization problems are notoriously challenging for neural networks, especially in the absence of labeled instances. This work proposes an unsupervised learning framework for CO problems on graphs that can provide integral…

Machine Learning · Computer Science 2021-03-09 Nikolaos Karalias , Andreas Loukas

In deep neural nets, lower level embedding layers account for a large portion of the total number of parameters. Tikhonov regularization, graph-based regularization, and hard parameter sharing are approaches that introduce explicit biases…

Machine Learning · Computer Science 2020-10-06 Liwei Wu , Shuqing Li , Cho-Jui Hsieh , James Sharpnack

We derive several numerical methods for designing optimized first-order algorithms in unconstrained convex optimization settings. Our methods are based on the Performance Estimation Problem (PEP) framework, which casts the worst-case…

Optimization and Control · Mathematics 2025-07-29 Yassine Kamri , Julien M. Hendrickx , François Glineur

Graph unlearning, which aims to eliminate the influence of specific nodes, edges, or attributes from a trained Graph Neural Network (GNN), is essential in applications where privacy, bias, or data obsolescence is a concern. However,…

Machine Learning · Computer Science 2024-12-20 Zhe-Rui Yang , Jindong Han , Chang-Dong Wang , Hao Liu