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In this paper, we study the conditional stochastic optimization (CSO) problem which covers a variety of applications including portfolio selection, reinforcement learning, robust learning, causal inference, etc. The sample-averaged gradient…

Machine Learning · Computer Science 2023-12-05 Lie He , Shiva Prasad Kasiviswanathan

Symbolic regression (SR) is an area of interpretable machine learning that aims to identify mathematical expressions, often composed of simple functions, that best fit in a given set of covariates $X$ and response $y$. In recent years, deep…

Machine Learning · Computer Science 2023-12-04 Sida Li , Ioana Marinescu , Sebastian Musslick

In a regression task, a function is learned from labeled data to predict the labels at new data points. The goal is to achieve small prediction errors. In symbolic regression, the goal is more ambitious, namely, to learn an interpretable…

Machine Learning · Computer Science 2025-06-25 Paul Kahlmeyer , Joachim Giesen , Michael Habeck , Henrik Voigt

The behavior decision-making subsystem is a key component of the autonomous driving system, which reflects the decision-making ability of the vehicle and the driver, and is an important symbol of the high-level intelligence of the vehicle.…

Machine Learning · Computer Science 2024-12-31 Zixiang Wang , Hao Yan , Changsong Wei , Junyu Wang , Minheng Xiao

Graduated optimization is a global optimization technique that is used to minimize a multimodal nonconvex function by smoothing the objective function with noise and gradually refining the solution. This paper experimentally evaluates the…

Machine Learning · Computer Science 2024-12-17 Naoki Sato , Hideaki Iiduka

Neural combinatorial optimization (NCO) has achieved remarkable performance, yet its learned model representations and decision rationale remain a black box. This impedes both academic research and practical deployment, since researchers…

Machine Learning · Computer Science 2025-10-28 Zhiqin Zhang , Yining Ma , Zhiguang Cao , Hoong Chuin Lau

Model-based reinforcement learning (RL) is considered to be a promising approach to reduce the sample complexity that hinders model-free RL. However, the theoretical understanding of such methods has been rather limited. This paper…

Machine Learning · Computer Science 2021-02-16 Yuping Luo , Huazhe Xu , Yuanzhi Li , Yuandong Tian , Trevor Darrell , Tengyu Ma

Optimizing high-dimensional and complex black-box functions is crucial in numerous scientific applications. While Bayesian optimization (BO) is a powerful method for sample-efficient optimization, it struggles with the curse of…

Machine Learning · Computer Science 2025-07-08 Taeyoung Yun , Kiyoung Om , Jaewoo Lee , Sujin Yun , Jinkyoo Park

Partial differential equations (PDEs) are ubiquitous in the world around us, modelling phenomena from heat and sound to quantum systems. Recent advances in deep learning have resulted in the development of powerful neural solvers; however,…

Artificial Intelligence · Computer Science 2023-11-13 Yolanne Yi Ran Lee

Symbolic Regression (SR) is a powerful technique for automatically discovering mathematical expressions from input data. Mainstream SR algorithms search for the optimal symbolic tree in a vast function space, but the increasing complexity…

Machine Learning · Computer Science 2026-02-03 Xinxin Li , Juan Zhang , Da Li , Xingyu Liu , Jin Xu , Junping Yin

Despite numerous successes in Deep Reinforcement Learning (DRL), the learned policies are not interpretable. Moreover, since DRL does not exploit symbolic relational representations, it has difficulties in coping with structural changes in…

Artificial Intelligence · Computer Science 2023-07-17 Rishi Hazra , Luc De Raedt

We consider the problem of learning free-form symbolic expressions from raw data, such as that produced by an experiment in any scientific domain. Accurate and interpretable models of scientific phenomena are the cornerstone of scientific…

Machine Learning · Computer Science 2021-12-09 Nikos Arechiga , Francine Chen , Yan-Ying Chen , Yanxia Zhang , Rumen Iliev , Heishiro Toyoda , Kent Lyons

Wireless sensor networks (WSNs) are the foundation of the Internet of Things (IoT), and in the era of the fifth generation of wireless communication networks, they are envisioned to be truly ubiquitous, reliable, scalable, and energy…

Signal Processing · Electrical Eng. & Systems 2019-11-01 Xiangyue Meng , Hazer Inaltekin , Brian Krongold

A probability density function (pdf) encodes the entire stochastic knowledge about data distribution, where data may represent stochastic observations in robotics, transition state pairs in reinforcement learning or any other empirically…

Machine Learning · Computer Science 2018-09-18 Dmitry Kopitkov , Vadim Indelman

Recent advances in large language models (LLMs) have popularized test-time scaling, where models generate additional reasoning tokens before producing final answers. These approaches have demonstrated significant performance improvements on…

Artificial Intelligence · Computer Science 2026-01-13 Wenxun Wu , Yuanyang Li , Guhan Chen , Linyue Wang , Hongyang Chen

Mathematical optimization is a fundamental tool for decision-making in a wide range of applications. However, in many real-world scenarios, the parameters of the optimization problem are not known a priori and must be predicted from…

Machine Learning · Computer Science 2025-11-13 Senne Berden , Ali İrfan Mahmutoğulları , Dimos Tsouros , Tias Guns

Time series forecasting underpins vital decision-making across various sectors, yet raw predictions from sophisticated models often harbor systematic errors and biases. We examine the Forecast-Then-Optimize (FTO) framework, pioneering its…

Machine Learning · Computer Science 2025-06-17 Jinhang Jiang , Nan Wu , Ben Liu , Mei Feng , Xin Ji , Karthik Srinivasan

Direct optimization is an appealing framework that replaces integration with optimization of a random objective for approximating gradients in models with discrete random variables. A$^\star$ sampling is a framework for optimizing such…

Machine Learning · Computer Science 2020-10-26 Guy Lorberbom , Chris J. Maddison , Nicolas Heess , Tamir Hazan , Daniel Tarlow

Recently, a number of competitive methods have tackled unsupervised representation learning by maximising the mutual information between the representations produced from augmentations. The resulting representations are then invariant to…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Luke Nicholas Darlow , Amos Storkey

Synthesizable molecular design (also known as synthesizable molecular optimization) is a fundamental problem in drug discovery, and involves designing novel molecular structures to improve their properties according to drug-relevant oracle…

Machine Learning · Computer Science 2026-05-07 Dannong Wang , Jintai Chen , Yingzhou Lu , Minjie Shen , Lulu Chen , Zhiding Liang , Tianfan Fu , Xiao-Yang Liu