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We propose probabilistic models that can extrapolate learning curves of iterative machine learning algorithms, such as stochastic gradient descent for training deep networks, based on training data with variable-length learning curves. We…

Machine Learning · Computer Science 2019-10-11 Matilde Gargiani , Aaron Klein , Stefan Falkner , Frank Hutter

Background: Elucidating gene regulatory networks is crucial for understanding normal cell physiology and complex pathologic phenotypes. Existing computational methods for the genome-wide ``reverse engineering'' of such networks have been…

Coregulation of the expression of groups of genes has been extensively demonstrated empirically in bacterial and eukaryotic systems. Such coregulation can arise through the use of shared regulatory motifs, which allow the coordinated…

Machine Learning · Statistics 2016-04-12 Jonathan H. Warrell , Musa M. Mhlanga

We study inverse problems consisting on determining medium properties using the responses to probing waves from the machine learning point of view. Based on the understanding of propagation of waves and their nonlinear interactions, we…

Analysis of PDEs · Mathematics 2018-11-12 Gunther Uhlmann , Yiran Wang

Well-calibrated probabilistic regression models are a crucial learning component in robotics applications as datasets grow rapidly and tasks become more complex. Unfortunately, classical regression models are usually either probabilistic…

Machine Learning · Computer Science 2023-09-12 Hany Abdulsamad , Peter Nickl , Pascal Klink , Jan Peters

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

Artificial Intelligence · Computer Science 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

Neural networks have emerged as effective tools for solving ill-posed inverse problems. In many scientific applications, however, observational training data are insufficient, and learned inverse operators must instead be trained on…

Numerical Analysis · Mathematics 2026-05-26 Sandra R. Babyale , Jodi Mead

In cancer genomics, it is of great importance to distinguish driver mutations, which contribute to cancer progression, from causally neutral passenger mutations. We propose a random-effect regression approach to estimate the effects of…

Methodology · Statistics 2023-06-30 Kin Yau Wong , Donglin Zeng , D. Y. Lin

By linking conceptual theories with observed data, generative models can support reasoning in complex situations. They have come to play a central role both within and beyond statistics, providing the basis for power analysis in molecular…

Methodology · Statistics 2022-08-15 Kris Sankaran , Susan P. Holmes

Our objective is to estimate the unknown compositional input from its output response through an unknown system after estimating the inverse of the original system with a training set. The proposed methods using artificial neural networks…

Machine Learning · Computer Science 2020-01-27 Se Un Park

Reverse engineering of gene regulatory networks presents one of the big challenges in systems biology. Gene regulatory networks are usually inferred from a set of single-gene over-expressions and/or knockout experiments. Functional…

Molecular Networks · Quantitative Biology 2008-06-19 Dejan Stokic , Rudolf Hanel , Stefan Thurner

There are two prominent paradigms to the modeling of networks: in the first, referred to as the mechanistic approach, one specifies a set of domain-specific mechanistic rules that are used to grow or evolve the network over time; in the…

Physics and Society · Physics 2020-01-24 Ravi Goyal , JP Onnela

Following the growing success of generative neural networks in LHC simulations, the crucial question is how to control the networks and assign uncertainties to their event output. We show how Bayesian normalizing flow or invertible networks…

High Energy Physics - Phenomenology · Physics 2022-12-07 Marco Bellagente , Manuel Haußmann , Michel Luchmann , Tilman Plehn

Inference of gene regulatory network from expression data is a challenging task. Many methods have been developed to this purpose but a comprehensive evaluation that covers unsupervised, semi-supervised and supervised methods, and provides…

Molecular Networks · Quantitative Biology 2013-01-08 Stefan R. Maetschke , Piyush B. Madhamshettiwar , Melissa J. Davis , Mark A. Ragan

Mechanistic Interpretability aims to reverse engineer the algorithms implemented by neural networks by studying their weights and activations. An obstacle to reverse engineering neural networks is that many of the parameters inside a…

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

Computation · Statistics 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Turing patterns play a fundamental role in morphogenesis and population dynamics, encoding key information about the underlying biological mechanisms. Yet, traditional inverse problems have largely relied on non-biological data such as…

Analysis of PDEs · Mathematics 2025-09-10 Yuhan Li , Hongyu Liu , Catharine W. K. Lo

This project considers Capsule Networks, a recently introduced machine learning model that has shown promising results regarding generalization and preservation of spatial information with few parameters. The Capsule Network's inner routing…

Machine Learning · Computer Science 2020-01-10 Gonçalo Faria

Finding model parameters from data is an essential task in science and engineering, from weather and climate forecasts to plasma control. Previous works have employed neural networks to greatly accelerate finding solutions to inverse…

Machine Learning · Computer Science 2024-08-16 Philipp Holl , Nils Thuerey

There is a growing need for investigating how machine learning models operate. With this work, we aim to understand trained machine learning models by questioning their data preferences. We propose a mathematical framework that allows us to…

Machine Learning · Computer Science 2025-12-22 Eren Mehmet Kıral , Nurşen Aydın , Ş. İlker Birbil