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Interpretability is crucial for machine learning in many scenarios such as quantitative finance, banking, healthcare, etc. Symbolic regression (SR) is a classic interpretable machine learning method by bridging X and Y using mathematical…

Methodology · Statistics 2020-01-17 Ying Jin , Weilin Fu , Jian Kang , Jiadong Guo , Jian Guo

Causal discovery has been widely studied, yet many existing methods rely on strong assumptions or fall into two extremes: either depending on costly interventional signals or partial ground truth as strong priors, or adopting purely data…

Machine Learning · Computer Science 2026-03-24 Wenbo Xu , Yue He , Yunhai Wang , Xingxuan Zhang , Kun Kuang , Yueguo Chen , Peng Cui

Despite decades of research, understanding human manipulation activities is, and has always been, one of the most attractive and challenging research topics in computer vision and robotics. Recognition and prediction of observed human…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Gamze Akyol , Sanem Sariel , Eren Erdal Aksoy

In some situations, the interpretability of the machine learning models plays a role as important as the model accuracy. Interpretability comes from the need to trust the prediction model, verify some of its properties, or even enforce them…

Machine Learning · Computer Science 2024-04-10 Guilherme Seidyo Imai Aldeia , Fabricio Olivetti de Franca

Symbolic regression is a powerful tool for knowledge discovery, enabling the extraction of interpretable mathematical expressions directly from data. However, conventional symbolic discovery typically follows an end-to-end, "one-step"…

Machine Learning · Computer Science 2026-03-17 Mingkun Xia , Weiwei Zhang

Interpretability and uncertainty quantification in machine learning can provide justification for decisions, promote scientific discovery and lead to a better understanding of model behavior. Symbolic regression provides inherently…

Neural and Evolutionary Computing · Computer Science 2022-11-23 G. F. Bomarito , P. E. Leser , N. C. M Strauss , K. M. Garbrecht , J. D. Hochhalter

Computational context understanding refers to an agent's ability to fuse disparate sources of information for decision-making and is, therefore, generally regarded as a prerequisite for sophisticated machine reasoning capabilities, such as…

Artificial Intelligence · Computer Science 2020-03-11 Alessandro Oltramari , Jonathan Francis , Cory Henson , Kaixin Ma , Ruwan Wickramarachchi

Symbolic regression is the machine learning method for learning functions from data. After a brief overview of the symbolic regression landscape, I will describe the two main challenges that traditional algorithms face: they have an unknown…

Instrumentation and Methods for Astrophysics · Physics 2025-07-18 Harry Desmond

We propose a symbolic generative task description language and a corresponding inference engine capable of representing arbitrary multimodal tasks as structured symbolic flows. Unlike conventional generative models that rely on large-scale…

The length and time scales of atomistic simulations are limited by the computational cost of the methods used to predict material properties. In recent years there has been great progress in the use of machine learning algorithms to develop…

Computational Physics · Physics 2022-11-03 Alberto Hernandez , Adarsh Balasubramanian , Fenglin Yuan , Simon Mason , Tim Mueller

We present a probabilistic programmed deep kernel learning approach to personalized, predictive modeling of neurodegenerative diseases. Our analysis considers a spectrum of neural and symbolic machine learning approaches, which we assess…

Machine Learning · Computer Science 2021-01-13 Alexander Lavin

Symbolic regression is a type of discrete optimization problem that involves searching expressions that fit given data points. In many cases, other mathematical constraints about the unknown expression not only provide more information…

Machine Learning · Computer Science 2021-02-16 Li Li , Minjie Fan , Rishabh Singh , Patrick Riley

In some real world situations, linear models are not sufficient to represent accurately complex relations between input variables and output variables of a studied system. Multilayer Perceptrons are one of the most successful non-linear…

Neural and Evolutionary Computing · Computer Science 2008-02-05 Fabrice Rossi , Brieuc Conan-Guez

We propose the use of a conjecturing machine that suggests feature relationships in the form of bounds involving nonlinear terms for numerical features and boolean expressions for categorical features. The proposed Conjecturing framework…

Machine Learning · Computer Science 2023-07-18 J. P. Brooks , D. J. Edwards , C. E. Larson , N. Van Cleemput

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

Symbolic discovery of governing equations is a long-standing goal in scientific machine learning, yet a fundamental trade-off persists between interpretability and scalable learning. Classical symbolic regression methods yield explicit…

Machine Learning · Computer Science 2026-03-26 Salah A Faroughi , Farinaz Mostajeran , Amirhossein Arzani , Shirko Faroughi

Health foundation models (FMs) learn useful representations from wearable sensors, but interpreting what they encode and transferring that knowledge across modalities after training remains difficult. We present a post-training framework…

Machine Learning · Computer Science 2026-05-11 Gajendra Katuwal , Advait Koparkar , Salar Abbaspourazad , Anshuman Mishra , Sarvesh Kirthivasan

We propose SatelliteFormula, a novel symbolic regression framework that derives physically interpretable expressions directly from multi-spectral remote sensing imagery. Unlike traditional empirical indices or black-box learning models,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Zhenyu Yu , Mohd. Yamani Idna Idris , Pei Wang , Yuelong Xia , Fei Ma , Rizwan Qureshi

Adversarial vulnerability and lack of interpretability are critical limitations of deep neural networks, especially in safety-sensitive settings such as autonomous driving. We introduce \DesignII, a neuro-symbolic framework that integrates…

Machine Learning · Computer Science 2026-01-21 Ali Shafiee Sarvestani , Jason Schmidt , Arman Roohi

The ability to simulate realistic networks based on empirical data is an important task across scientific disciplines, from epidemiology to computer science. Often simulation approaches involve selecting a suitable network generative model…

Social and Information Networks · Computer Science 2024-06-13 Raima Carol Appaw , Nicholas Fountain-Jones , Michael A. Charleston