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Symbolic regression, the task of extracting mathematical expressions from the observed data $\{ \vx_i, y_i \}$, plays a crucial role in scientific discovery. Despite the promising performance of existing methods, most of them conduct…

Machine Learning · Computer Science 2023-02-22 Pengwei Jin , Di Huang , Rui Zhang , Xing Hu , Ziyuan Nan , Zidong Du , Qi Guo , Yunji Chen

Deep learning approaches are becoming increasingly attractive for equation discovery. We show the advantages and disadvantages of using neural-guided equation discovery by giving an overview of recent papers and the results of experiments…

Artificial Intelligence · Computer Science 2025-03-24 Jannis Brugger , Mattia Cerrato , David Richter , Cedric Derstroff , Daniel Maninger , Mira Mezini , Stefan Kramer

Monotonicity is a key qualitative prediction of a wide array of economic models derived via robust comparative statics. It is therefore important to design effective and practical econometric methods for testing this prediction in empirical…

Statistics Theory · Mathematics 2019-07-10 Denis Chetverikov

This paper describes a new method for Symbolic Regression that allows to find mathematical expressions from a dataset. This method has a strong mathematical basis. As opposed to other methods such as Genetic Programming, this method is…

Machine Learning · Computer Science 2022-03-22 Daniel Rivero , Enrique Fernandez-Blanco

In recent years there has been great progress in the use of machine learning algorithms to develop interatomic potential models. Machine-learned potential models are typically orders of magnitude faster than density functional theory but…

Materials Science · Physics 2023-03-28 Alberto Hernandez , Tim Mueller

Large language models (LLMs) demonstrate impressive language understanding and contextual learning abilities, making them suitable for natural language processing (NLP) tasks and complex mathematical reasoning. However, when applied to…

Artificial Intelligence · Computer Science 2023-09-13 Haotian Xu

Modeling Irregularly-sampled and Multivariate Time Series (IMTS) is crucial across a variety of applications where different sets of variates may be missing at different time-steps due to sensor malfunctions or high data acquisition costs.…

The dynamic energy sector requires both predictive accuracy and runtime efficiency for short-term forecasting of energy generation under operational constraints, where timely and precise predictions are crucial. The manual configuration of…

Machine Learning · Computer Science 2025-11-04 Georg Velev , Stefan Lessmann

Recent advances in deep forecasting models have achieved remarkable performance, yet most approaches still struggle to provide both accurate predictions and interpretable insights into temporal dynamics. This paper proposes CaReTS, a novel…

Machine Learning · Computer Science 2025-11-14 Fulong Yao , Wanqing Zhao , Chao Zheng , Xiaofei Han

Symbolic regression is the process of identifying mathematical expressions that fit observed output from a black-box process. It is a discrete optimization problem generally believed to be NP-hard. Prior approaches to solving the problem…

Neural and Evolutionary Computing · Computer Science 2021-11-19 T. Nathan Mundhenk , Mikel Landajuela , Ruben Glatt , Claudio P. Santiago , Daniel M. Faissol , Brenden K. Petersen

While many advances in time series models focus exclusively on numerical data, research on multimodal time series, particularly those involving contextual textual information, remains in its infancy. With recent progress in large language…

Machine Learning · Computer Science 2026-03-10 Zihao Li , Xiao Lin , Zhining Liu , Jiaru Zou , Ziwei Wu , Lecheng Zheng , Dongqi Fu , Yada Zhu , Hendrik Hamann , Hanghang Tong , Jingrui He

Neuroscience has recently made much progress, expanding the complexity of both neural-activity measurements and brain-computational models. However, we lack robust methods for connecting theory and experiment by evaluating our new big…

Quantitative Methods · Quantitative Biology 2023-07-06 Heiko H. Schütt , Alexander D. Kipnis , Jörn Diedrichsen , Nikolaus Kriegeskorte

Monte Carlo tree search (MCTS) is one of the most capable online search algorithms for sequential planning tasks, with significant applications in areas such as resource allocation and transit planning. Despite its strong performance in…

Artificial Intelligence · Computer Science 2024-10-31 Ziyan An , Hendrik Baier , Abhishek Dubey , Ayan Mukhopadhyay , Meiyi Ma

We present an extension of Monte Carlo Tree Search (MCTS) that strongly increases its efficiency for trees with asymmetry and/or loops. Asymmetric termination of search trees introduces a type of uncertainty for which the standard upper…

Machine Learning · Statistics 2018-05-24 Thomas M. Moerland , Joost Broekens , Aske Plaat , Catholijn M. Jonker

Currently statistical and artificial neural network methods dominate in financial data mining. Alternative relational (symbolic) data mining methods have shown their effectiveness in robotics, drug design and other applications.…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 B. Kovalerchuk , E. Vityaev , H. Yusupov

High-dimensional time series are common in many domains. Since human cognition is not optimized to work well in high-dimensional spaces, these areas could benefit from interpretable low-dimensional representations. However, most…

Machine Learning · Computer Science 2019-01-07 Vincent Fortuin , Matthias Hüser , Francesco Locatello , Heiko Strathmann , Gunnar Rätsch

Contrastive learning methods have shown an impressive ability to learn meaningful representations for image or time series classification. However, these methods are less effective for time series forecasting, as optimization of instance…

Machine Learning · Computer Science 2024-11-13 Xiaochen Zheng , Xingyu Chen , Manuel Schürch , Amina Mollaysa , Ahmed Allam , Michael Krauthammer

We propose a system identification method, Non-Markovian Optimization-based Modeling for Approximate Dynamics with Spatially-homogeneous memory (NOMADS), for identifying linear dynamical systems from a set of multi-dimensional time-series…

Optimization and Control · Mathematics 2026-01-27 Ryoji Anzaki , Kazuhiro Sato

Fast Function Extraction (FFX) is a deterministic algorithm for solving symbolic regression problems. We improve the accuracy of FFX by adding parameters to the arguments of nonlinear functions. Instead of only optimizing linear parameters,…

Machine Learning · Computer Science 2023-03-10 Lukas Kammerer , Gabriel Kronberger , Michael Kommenda

Symbolic regression (SR) searches for analytical expressions representing the relationship between a set of explanatory and response variables. Current SR methods assume a single dataset extracted from a single experiment. Nevertheless,…