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We present the perceptor gradients algorithm -- a novel approach to learning symbolic representations based on the idea of decomposing an agent's policy into i) a perceptor network extracting symbols from raw observation data and ii) a task…

Machine Learning · Computer Science 2019-05-06 Svetlin Penkov , Subramanian Ramamoorthy

Understanding how complex systems respond to perturbations, such as whether they will remain stable or what their most sensitive patterns are, is a fundamental challenge across science and engineering. Traditional stability and receptivity…

Fluid Dynamics · Physics 2026-04-28 Chengyun Wang , Liwei Chen , Nils Thuerey

Interpretable insights from predictive models remain critical in bio-statistics, particularly when assessing causality, where classical statistical and machine learning methods often provide inherent clarity. While Neural Networks (NNs)…

Applications · Statistics 2025-05-02 Jean-Baptiste A. Conan

We introduce an approach for imposing physically motivated inductive biases on graph networks to learn interpretable representations and improved zero-shot generalization. Our experiments show that our graph network models, which implement…

Machine Learning · Computer Science 2019-11-04 Miles D. Cranmer , Rui Xu , Peter Battaglia , Shirley Ho

Symbolic regression is the task of identifying a mathematical expression that best fits a provided dataset of input and output values. Due to the richness of the space of mathematical expressions, symbolic regression is generally a…

Machine Learning · Computer Science 2021-06-29 Mojtaba Valipour , Bowen You , Maysum Panju , Ali Ghodsi

When neural networks are used to solve differential equations, they usually produce solutions in the form of black-box functions that are not directly mathematically interpretable. We introduce a method for generating symbolic expressions…

Machine Learning · Computer Science 2020-11-05 Maysum Panju , Ali Ghodsi

Intelligent agents must reason over both continuous dynamics and discrete representations to generate effective plans in complex environments. Previous studies have shown that symbolic abstractions can emerge from neural effect predictors…

Robotics · Computer Science 2026-03-10 Fatih Dogangun , Burcu Kilic , Serdar Bahar , Emre Ugur

Despite successful seminal works on passive systems in the literature, learning free-form physical laws for controlled dynamical systems given experimental data is still an open problem. For decades, symbolic mathematical equations and…

Machine Learning · Computer Science 2021-06-01 Carlos Magno C. O. Valle , Sami Haddadin

Deep learning has taken part in the competition since not long ago to learn and identify phase transitions in physical systems such as many body quantum systems, whose underlying lattice structures are generally regular as they're in…

Physics and Society · Physics 2020-01-08 Qi Ni , Jie Kang , Ming Tang , Ying Liu , Yong Zou

To plan safe maneuvers and act with foresight, autonomous vehicles must be capable of accurately predicting the uncertain future. In the context of autonomous driving, deep neural networks have been successfully applied to learning…

Robotics · Computer Science 2022-08-02 Salar Arbabi , Davide Tavernini , Saber Fallah , Richard Bowden

In this paper, we present a Bayesian view on model-based reinforcement learning. We use expert knowledge to impose structure on the transition model and present an efficient learning scheme based on variational inference. This scheme is…

Machine Learning · Computer Science 2019-07-12 Markus Kaiser , Clemens Otte , Thomas Runkler , Carl Henrik Ek

A wide variety of model explanation approaches have been proposed in recent years, all guided by very different rationales and heuristics. In this paper, we take a new route and cast interpretability as a statistical inference problem. We…

Machine Learning · Computer Science 2024-01-01 Hugo Henri Joseph Senetaire , Damien Garreau , Jes Frellsen , Pierre-Alexandre Mattei

Recently deep reinforcement learning has achieved tremendous success in wide ranges of applications. However, it notoriously lacks data-efficiency and interpretability. Data-efficiency is important as interacting with the environment is…

Machine Learning · Computer Science 2021-06-23 Duo Xu , Faramarz Fekri

Although neural networks have seen tremendous success as predictive models in a variety of domains, they can be overly confident in their predictions on out-of-distribution (OOD) data. To be viable for safety-critical applications, like…

Robotics · Computer Science 2022-11-17 Masha Itkina , Mykel J. Kochenderfer

Many real-world complex systems, such as epidemic spreading networks and ecosystems, can be modeled as networked dynamical systems that produce multivariate time series. Learning the intrinsic dynamics from observational data is pivotal for…

Machine Learning · Computer Science 2024-12-30 Yanna Ding , Zijie Huang , Malik Magdon-Ismail , Jianxi Gao

For most process systems, knowledge of the model structure is incomplete. This missing physics must then be learned from experimental data. Recently, a combination of universal differential equations and symbolic regression has become a…

Machine Learning · Statistics 2026-04-15 Arno Strouwen , Sebastián Micluţa-Câmpeanu

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

Experimental validation of chemical processes is slow and costly, limiting exploration in materials discovery. Machine learning can prioritize promising candidates, but existing data in patents and literature is heterogeneous and difficult…

Chemical Physics · Physics 2025-12-09 Mikhail Tsitsvero , Atsuyuki Nakao , Hisaki Ikebata

The process of transforming observed data into predictive mathematical models of the physical world has always been paramount in science and engineering. Although data is currently being collected at an ever-increasing pace, devising…

Dynamical Systems · Mathematics 2018-01-08 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

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…

Machine Learning · Computer Science 2026-01-13 Mikhail Lazarev , Andrey Ustyuzhanin