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Symbolic regression, i.e. predicting a function from the observation of its values, is well-known to be a challenging task. In this paper, we train Transformers to infer the function or recurrence relation underlying sequences of integers…

机器学习 · 计算机科学 2022-06-29 Stéphane d'Ascoli , Pierre-Alexandre Kamienny , Guillaume Lample , François Charton

Many real-world systems can be described by mathematical models that are human-comprehensible, easy to analyze and help explain the system's behavior. Symbolic regression is a method that can automatically generate such models from data.…

神经与进化计算 · 计算机科学 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška

Decoding-based regression, which reformulates regression as a sequence generation task, has emerged as a promising paradigm of applying large language models for numerical prediction. However, its progress is hindered by the misalignment…

机器学习 · 计算机科学 2025-12-09 Ming Chen , Sheng Tang , Rong-Xi Tan , Ziniu Li , Jiacheng Chen , Ke Xue , Chao Qian

Successful applications of reinforcement learning in real-world problems often require dealing with partially observable states. It is in general very challenging to construct and infer hidden states as they often depend on the agent's…

机器学习 · 计算机科学 2015-11-20 Xiujun Li , Lihong Li , Jianfeng Gao , Xiaodong He , Jianshu Chen , Li Deng , Ji He

This work introduces Semantically Masked Vector Quantized Generative Adversarial Network (SQ-GAN), a novel approach integrating semantically driven image coding and vector quantization to optimize image compression for…

计算机视觉与模式识别 · 计算机科学 2025-10-13 Francesco Pezone , Sergio Barbarossa , Giuseppe Caire

Model-based reinforcement learning (RL) has proven to be a data efficient approach for learning control tasks but is difficult to utilize in domains with complex observations such as images. In this paper, we present a method for learning…

机器学习 · 计算机科学 2019-06-25 Marvin Zhang , Sharad Vikram , Laura Smith , Pieter Abbeel , Matthew J. Johnson , Sergey Levine

The problem with existing camera-based Deep Reinforcement Learning approaches is twofold: they rarely integrate high-level scene context into the feature representation, and they rely on rigid, fixed reward functions. To address these…

机器人学 · 计算机科学 2026-02-06 Vinal Asodia , Iman Sharifi , Saber Fallah

Large language models (LLMs) have revolutionized algorithm development, yet their application in symbolic regression, where algorithms automatically discover symbolic expressions from data, remains limited. In this paper, we propose a…

神经与进化计算 · 计算机科学 2026-04-01 Hengzhe Zhang , Qi Chen , Bing Xue , Wolfgang Banzhaf , Mengjie Zhang

Symbolic regression aims to discover interpretable equations from data, yet modern gradient-based methods fail for operators that introduce singularities or domain constraints, including division, logarithms, and square roots. As a result,…

机器学习 · 计算机科学 2026-05-06 Sergei Garmaev , Maurice Gauché , Olga Fink

Symbolic regression (SR), the task of discovering mathematical expressions that best describe a given dataset, remains a fundamental challenge in scientific discovery. Traditional approaches, primarily based on genetic algorithms and…

人工智能 · 计算机科学 2026-05-06 Hao Liu , Xiao-Wen Yang , Atharva Sehgal , Yixin Wang , Lan-Zhe Guo , Yu-Feng Li , Yisong Yue

We introduce AI-Kolmogorov, a novel framework for Symbolic Density Estimation (SymDE). Symbolic regression (SR) has been effectively used to produce interpretable models in standard regression settings but its applicability to density…

机器学习 · 计算机科学 2026-04-20 Angelo Rajendram , Xieting Chu , Vijay Ganesh , Max Fieg , Aishik Ghosh

Neural networks have emerged as a powerful tool for modeling physical systems, offering the ability to learn complex representations from limited data while integrating foundational scientific knowledge. In particular, neuro-symbolic…

机器学习 · 计算机科学 2025-07-30 Wenkai Tan , Alvaro Velasquez , Houbing Song

Reinforcement learning has witnessed significant advancements, particularly with the emergence of model-based approaches. Among these, $Q$-learning has proven to be a powerful algorithm in model-free settings. However, the extension of…

机器学习 · 计算机科学 2026-03-31 Han-Dong Lim , HyeAnn Lee , Donghwan Lee

Compact symbolic expressions have been shown to be more efficient than neural network models in terms of resource consumption and inference speed when implemented on custom hardware such as FPGAs, while maintaining comparable…

机器学习 · 计算机科学 2025-02-11 Ho Fung Tsoi , Vladimir Loncar , Sridhara Dasu , Philip Harris

Deriving governing equations from observational data, known as Symbolic Regression (SR), is a cornerstone of scientific discovery. Large Language Models, (LLMs) have shown promise in this task by leveraging their vast cross-disciplinary…

计算工程、金融与科学 · 计算机科学 2025-10-01 Yingfan Hua , Ruikun Li , Jun Yao , Guohang Zhuang , Shixiang Tang , Bin Liu , Wanli Ouyang , Yan Lu

Machine learning models have become firmly established across all scientific fields. Extracting features from data and making inferences based on them with neural network models often yields high accuracy; however, this approach has several…

机器学习 · 计算机科学 2026-01-13 Mikhail Lazarev , Andrey Ustyuzhanin

We introduce 'Class Symbolic Regression' (Class SR) a first framework for automatically finding a single analytical functional form that accurately fits multiple datasets - each realization being governed by its own (possibly) unique set of…

机器学习 · 计算机科学 2024-06-19 Wassim Tenachi , Rodrigo Ibata , Thibaut L. François , Foivos I. Diakogiannis

A key objective in the field of artificial intelligence is to develop cognitive models that can exhibit human-like intellectual capabilities. One promising approach to achieving this is through neural-symbolic systems, which combine the…

人工智能 · 计算机科学 2025-02-25 Dongran Yu , Xueyan Liu , Shirui Pan , Anchen Li , Bo Yang

Symbolic regression (SR) is a powerful technique for discovering symbolic expressions that characterize nonlinear relationships in data, gaining increasing attention for its interpretability, compactness, and robustness. However, existing…

机器学习 · 统计学 2025-06-09 Shengbin Ye , Meng Li

Reinforcement learning (RL) for complex tasks remains a challenge, primarily due to the difficulties of engineering scalar reward functions and the inherent inefficiency of training models from scratch. Instead, it would be better to…

人工智能 · 计算机科学 2024-05-03 Finn Rietz , Erik Schaffernicht , Stefan Heinrich , Johannes Andreas Stork