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Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

With recent developments in smart technologies, there has been a growing focus on the use of artificial intelligence and machine learning for affective computing to further enhance the user experience through emotion recognition. Typically,…

Machine Learning · Computer Science 2020-08-26 Kyle Ross , Paul Hungler , Ali Etemad

The rapid development of machine learning (ML) and artificial intelligence (AI) applications requires the training of large numbers of models. This growing demand highlights the importance of training models without human supervision, while…

Machine Learning · Computer Science 2025-05-26 Alexey Boldyrev , Fedor Ratnikov , Andrey Shevelev

Deep neural networks have emerged as the workhorse for a large section of robotics and control applications, especially as models for dynamical systems. Such data-driven models are in turn used for designing and verifying autonomous…

Machine Learning · Computer Science 2023-11-08 Kaustubh Sridhar , Souradeep Dutta , James Weimer , Insup Lee

Symbolic Regression (SR) is a type of regression analysis to automatically find the mathematical expression that best fits the data. Currently, SR still basically relies on various searching strategies so that a sample-specific model is…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Jiachen Li , Ye Yuan , Hong-Bin Shen

Evolutionary symbolic regression approaches are powerful tools that can approximate an explicit mapping between input features and observation for various problems. However, ensuring that explored expressions maintain consistency with…

Optimization and Control · Mathematics 2024-11-19 Maximilian Reissmann , Yuan Fang , Andrew Ooi , Richard Sandberg

The discovery of constitutive laws for complex materials has historically faced a dichotomy between high-fidelity data-driven approaches, which demand prohibitive full-field experimental data, and traditional engineering fitting, which…

Computational Engineering, Finance, and Science · Computer Science 2026-03-23 Yue Wu , Tianhao Su , Mingchuan Zhao , Shunbo Hu , Deng Pan

Accurate simulation of brain deformation is a key component for developing realistic, interactive neurosurgical simulators, as complex nonlinear deformations must be captured to ensure realistic tool-tissue interactions. However,…

Symbolic regression (SR) is the problem of learning a symbolic expression from numerical data. Recently, deep neural models trained on procedurally-generated synthetic datasets showed competitive performance compared to more classical…

Machine Learning · Computer Science 2023-05-11 Pierre-Alexandre Kamienny , Guillaume Lample , Sylvain Lamprier , Marco Virgolin

We review nine invariant and dispersion-type anisotropic hyperelastic constitutive models for soft biological tissues based on their fitting performance to experimental data from three different human tissues. For this, we used a hybrid…

Numerical Analysis · Mathematics 2022-07-29 Hüsnü Dal , Alp Kağan Açan , Ciara Durcan , Mokarram Hossain

Symbolic Regression tries to find a mathematical expression that describes the relationship of a set of explanatory variables to a measured variable. The main objective is to find a model that minimizes the error and, optionally, that also…

Artificial Intelligence · Computer Science 2018-02-27 Fabricio Olivetti de Franca

Probabilistic atlases provide essential spatial contextual information for image interpretation, Bayesian modeling, and algorithmic processing. Such atlases are typically constructed by grouping subjects with similar demographic…

Machine Learning · Computer Science 2018-06-07 Yuankai Huo , Katherine Swett , Susan M. Resnick , Laurie E. Cutting , Bennett A. Landman

Deep learning has revolutionized many industries by enabling models to automatically learn complex patterns from raw data, reducing dependence on manual feature engineering. However, deep learning algorithms are sensitive to input data, and…

Machine Learning · Computer Science 2025-07-21 Mert Sehri , Zehui Hua , Francisco de Assis Boldt , Patrick Dumond

Neural implicit representations have become a popular choice for modeling surfaces due to their adaptability in resolution and support for complex topology. While previous works have achieved impressive reconstruction quality by training on…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Lu Sang , Abhishek Saroha , Maolin Gao , Daniel Cremers

Modern recording techniques enable neuroscientists to simultaneously study neural activity across large populations of neurons, with capturing predictor-dependent correlations being a fundamental challenge in neuroscience. Moreover, the…

Applications · Statistics 2025-02-04 Ganchao Wei

Regression analysis is used for prediction and to understand the effect of independent variables on dependent variables. Symbolic regression (SR) automates the search for non-linear regression models, delivering a set of hypotheses that…

Machine Learning · Computer Science 2025-04-09 Fabricio Olivetti de Franca , Gabriel Kronberger

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

Machine Learning · Statistics 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis

Classical regression methods treat covariates as a vector and estimate a corresponding vector of regression coefficients. Modern applications in medical imaging generate covariates of more complex form such as multidimensional arrays…

Methodology · Statistics 2013-10-22 Hua Zhou , Lexin Li , Hongtu Zhu

Symbolic Regression aims to automatically identify compact and interpretable mathematical expressions that model the functional relationship between input and output variables. Most existing search-based symbolic regression methods…

Machine Learning · Computer Science 2026-01-22 Jianwen Sun , Xinrui Li , Fuqing Li , Xiaoxuan Shen

Associative memories in the brain receive and store patterns of activity registered by the sensory neurons, and are able to retrieve them when necessary. Due to their importance in human intelligence, computational models of associative…

Machine Learning · Computer Science 2021-09-17 Tommaso Salvatori , Yuhang Song , Yujian Hong , Simon Frieder , Lei Sha , Zhenghua Xu , Rafal Bogacz , Thomas Lukasiewicz
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