Reliable neural networks for regression uncertainty estimation

T Tohme, K Vanslette, K Youcef-Toumi - Reliability Engineering & System …, 2023 - Elsevier
While deep neural networks are highly performant and successful in a wide range of real-
world problems, estimating their predictive uncertainty remains a challenging task. To …

GSR: A generalized symbolic regression approach

T Tohme, D Liu, K Youcef-Toumi - arXiv preprint arXiv:2205.15569, 2022 - arxiv.org
Identifying the mathematical relationships that best describe a dataset remains a very
challenging problem in machine learning, and is known as Symbolic Regression (SR). In …

MESSY Estimation: Maximum-entropy based stochastic and symbolic density estimation

T Tohme, M Sadr, K Youcef-Toumi… - arXiv preprint arXiv …, 2023 - arxiv.org
We introduce MESSY estimation, a Maximum-Entropy based Stochastic and Symbolic
densitY estimation method. The proposed approach recovers probability density functions …

ISR: Invertible Symbolic Regression

T Tohme, MJ Khojasteh, M Sadr, F Meyer… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce an Invertible Symbolic Regression (ISR) method. It is a machine learning
technique that generates analytical relationships between inputs and outputs of a given …

Advances in Symbolic Regression: From Generalized Formulation to Density Estimation and Inverse Problem

T Tohme - 2024 - dspace.mit.edu
In this thesis, we explore the field of Symbolic Regression (SR), a middle ground between
simple linear regression and complex inscrutable black box regressors such as neural …