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We propose an epistemic approach to formalizing statistical properties of machine learning. Specifically, we introduce a formal model for supervised learning based on a Kripke model where each possible world corresponds to a possible…

Logic in Computer Science · Computer Science 2023-07-19 Yusuke Kawamoto

Structural equation modeling (SEM) is a popular tool in the social and behavioural sciences, where it is being applied to ever more complex data types. The high-dimensional data produced by modern sensors, brain images, or (epi)genetic…

Methodology · Statistics 2019-10-11 Erik-Jan van Kesteren , Daniel L. Oberski

Emotion recognition through physiological signals such as electroencephalogram (EEG) has become an essential aspect of affective computing and provides an objective way to capture human emotions. However, physiological data characterized by…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Adnan Ahmad , Bahareh Nakisa , Mohammad Naim Rastgoo

Symbolic regression (SR) uncovers mathematical models from data. Several benchmarks have been proposed to compare the performance of SR algorithms. However, existing ground-truth rediscovery benchmarks overemphasize the recovery of "the…

Machine Learning · Computer Science 2025-08-21 Viktor Martinek

Explainable artificial intelligence is proposed to provide explanations for reasoning performed by an Artificial Intelligence. There is no consensus on how to evaluate the quality of these explanations, since even the definition of…

Artificial Intelligence · Computer Science 2025-06-17 Iván Sevillano-García , Julián Luengo-Martín , Francisco Herrera

Identifying governing equations for a dynamical system is a topic of critical interest across an array of disciplines, from mathematics to engineering to biology. Machine learning -- specifically deep learning -- techniques have shown their…

Dynamical Systems · Mathematics 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Structural equation models (SEMs) have been widely adopted for inference of causal interactions in complex networks. Recent examples include unveiling topologies of hidden causal networks over which processes such as spreading diseases, or…

Machine Learning · Statistics 2017-04-05 Yanning Shen , Brian Baingana , Georgios B. Giannakis

Machine learning algorithms such as linear regression, SVM and neural network have played an increasingly important role in the process of scientific discovery. However, none of them is both interpretable and accurate on nonlinear datasets.…

Quantitative Methods · Quantitative Biology 2017-10-31 Chengyu Liu , Wei Wang

Feature engineering is of critical importance in the field of Data Science. While any data scientist knows the importance of rigorously preparing data to obtain good performing models, only scarce literature formalizes its benefits. In this…

Methodology · Statistics 2023-06-30 Florian Felice , Christophe Ley , Andreas Groll , Stéphane Bordas

Image classification is an essential part of computer vision which assigns a given input image to a specific category based on the similarity evaluation within given criteria. While promising classifiers can be obtained through deep…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Emma Andrews , Prabhat Mishra

This article introduces a new symbolic regression algorithm based on the SPINEX (Similarity-based Predictions with Explainable Neighbors Exploration) family. This new algorithm (SPINEX_SymbolicRegression) adopts a similarity-based approach…

Machine Learning · Computer Science 2024-11-07 MZ Naser , Ahmed Z Naser

Conventional neural network elastoplasticity models are often perceived as lacking interpretability. This paper introduces a two-step machine learning approach that returns mathematical models interpretable by human experts. In particular,…

Computational Engineering, Finance, and Science · Computer Science 2024-02-09 Bahador Bahmani , Hyoung Suk Suh , WaiChing Sun

Descriptor generation methods using latent representations of encoder$-$decoder (ED) models with SMILES as input are useful because of the continuity of descriptor and restorability to the structure. However, it is not clear how the…

Chemical Physics · Physics 2023-04-14 Shumpei Nemoto , Tadahaya Mizuno , Hiroyuki Kusuhara

Large language models have revolutionized sign language generation by automatically transforming text into high-quality sign language videos, providing accessible communication for the Deaf community. However, existing LLM-based approaches…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Yanchao Zhao , Jihao Zhu , Yu Liu , Weizhuo Chen , Yuling Yang , Kun Peng

The advent of Scientific Machine Learning has heralded a transformative era in scientific discovery, driving progress across diverse domains. Central to this progress is uncovering scientific laws from experimental data through symbolic…

Methodology · Statistics 2025-09-25 Somjit Roy , Pritam Dey , Debdeep Pati , Bani K. Mallick

Extreme learning machine (ELM) is an extremely fast learning method and has a powerful performance for pattern recognition tasks proven by enormous researches and engineers. However, its good generalization ability is built on large numbers…

Machine Learning · Computer Science 2015-02-05 Wentao Zhu , Jun Miao , Laiyun Qing

Symbolic regression seeks to uncover physical laws from experimental data by searching for closed-form expressions, which is an important task in AI-driven scientific discovery. Yet the exponential growth of the search space of expression…

Symbolic Computation · Computer Science 2026-02-13 Nan Jiang , Ziyi Wang , Yexiang Xue

We introduce Explanatory Learning (EL), a framework to let machines use existing knowledge buried in symbolic sequences -- e.g. explanations written in hieroglyphic -- by autonomously learning to interpret them. In EL, the burden of…

While the need for interpretable machine learning has been established, many common approaches are slow, lack fidelity, or hard to evaluate. Amortized explanation methods reduce the cost of providing interpretations by learning a global…

Machine Learning · Statistics 2021-03-03 Neil Jethani , Mukund Sudarshan , Yindalon Aphinyanaphongs , Rajesh Ranganath

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.…

Neural and Evolutionary Computing · Computer Science 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška