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The regulation of metabolic activity by tuning enzyme expression levels is crucial to sustain cellular growth in changing environments. Metabolic networks are often studied at steady state using constraint-based models and optimization…

Molecular Networks · Quantitative Biology 2014-10-24 Steffen Waldherr , Diego A. Oyarzún , Alexander Bockmayr

Energy-based models (EBMs) are versatile density estimation models that directly parameterize an unnormalized log density. Although very flexible, EBMs lack a specified normalization constant of the model, making the likelihood of the model…

Machine Learning · Computer Science 2024-02-20 Louis Grenioux , Éric Moulines , Marylou Gabrié

Due to the increase in computational resources and accessibility of data, an increase in large, deep learning models trained on copious amounts of multi-modal data using self-supervised or semi-supervised learning have emerged. These…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Madeline Chantry Schiappa , Shehreen Azad , Sachidanand VS , Yunhao Ge , Ondrej Miksik , Yogesh S. Rawat , Vibhav Vineet

The task of conditional generation is one of the most important applications of generative models, and numerous methods have been developed to date based on the celebrated flow-based models. However, many flow-based models in use today are…

Machine Learning · Computer Science 2024-07-08 Noboru Isobe , Masanori Koyama , Jinzhe Zhang , Kohei Hayashi , Kenji Fukumizu

Uncertainty is ubiquitous in real-world data, and the assumptions underlying classical linear regression models are often violated in practice. Inspired by the theory of sublinear expectation, we consider a linear regression model where the…

Statistics Theory · Mathematics 2026-04-28 Xifeng Li , Shuzhen Yang

Robust parameter estimation is a crucial task in several 3D computer vision pipelines such as Structure from Motion (SfM). State-of-the-art algorithms for robust estimation, however, still suffer from difficulties in converging to…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Huu Le , Christopher Zach

Constraint-based metabolic modeling is the predominant framework for simulating cellular metabolism. The central assumption of these models is that metabolism operates at a steady state, meaning that the production and consumption rates of…

Quantitative Methods · Quantitative Biology 2026-05-22 Ariel Bruner , Mona Singh

This paper considers the problem of robustly estimating the parameters of a heavy-tailed multivariate distribution when the covariance matrix is known to have the structure of a low-rank matrix plus a diagonal matrix as considered in factor…

Computation · Statistics 2019-09-30 Rui Zhou , Junyan Liu , Sandeep Kumar , Daniel P. Palomar

The aggregated unfitted finite element method (AgFEM) is a methodology recently introduced in order to address conditioning and stability problems associated with embedded, unfitted, or extended finite element methods. The method is based…

Numerical Analysis · Computer Science 2019-08-20 Francesc Verdugo , Alberto F. Martín , Santiago Badia

A metabolic model can be represented as bipartite graph comprising linked reaction and metabolite nodes. Here it is shown how a network of conserved fluxes can be assigned to the edges of such a graph by combining the reaction fluxes with a…

Molecular Networks · Quantitative Biology 2015-05-13 Patrick B. Warren , Silvio M. Duarte Queiros , Janette L. Jones

Constraint-based metabolic models can be used to investigate the intracellular physiology of microorganisms. These models couple genes to reactions, and typically seek to predict metabolite fluxes that optimize some biologically important…

Optimization and Control · Mathematics 2025-05-13 Hannah Troppens , Mathieu Besançon , St. Elmo Wilken , Sebastian Pokutta

In light of the need for design and analysis of intermodal transportation systems, we propose an algorithmic framework to determine the system optimum of an intermodal transportation system. To this end, we model an intermodal…

Optimization and Control · Mathematics 2022-10-18 Benedikt Lienkamp , Maximilian Schiffer

The presence of missing values within high-dimensional data is an ubiquitous problem for many applied sciences. A serious limitation of many available data mining and machine learning methods is their inability to handle partially missing…

Machine Learning · Computer Science 2022-08-02 Qi Ma , Sujit K. Ghosh

Robust matrix factorization (RMF), which uses the $\ell_1$-loss, often outperforms standard matrix factorization using the $\ell_2$-loss, particularly when outliers are present. The state-of-the-art RMF solver is the RMF-MM algorithm,…

Numerical Analysis · Computer Science 2018-09-25 Quanming Yao , James T. Kwok

Assuming a steady-state condition within a cell, metabolic fluxes satisfy an under-determined linear system of stoichiometric equations. Characterizing the space of fluxes that satisfy such equations along with given bounds (and possibly…

Biological Physics · Physics 2017-04-10 Alfredo Braunstein , Anna Paola Muntoni , Andrea Pagnani

A robust estimator for a wide family of mixtures of linear regression is presented. Robustness is based on the joint adoption of the Cluster Weighted Model and of an estimator based on trimming and restrictions. The selected model provides…

Methodology · Statistics 2015-02-05 L. A. Garcia-Escudero , A. Gordaliza , F. Greselin , S. Ingrassia , A. Mayo-Iscar

Accurate quantification of intracellular metabolic fluxes is central to systems biology and biotechnology. Flux estimation relies on biochemical network models, with $^{13}$C metabolic flux analysis (MFA) being the state-of-the-art…

Quantitative Methods · Quantitative Biology 2026-05-26 Johann F. Jadebeck , Anton Stratmann , Martin Beyß , Katharina Nöh

Generative models have shown strong generation ability while efficient likelihood estimation is less explored. Energy-based models~(EBMs) define a flexible energy function to parameterize unnormalized densities efficiently but are notorious…

Machine Learning · Computer Science 2024-06-11 Cong Geng , Tian Han , Peng-Tao Jiang , Hao Zhang , Jinwei Chen , Søren Hauberg , Bo Li

Predictive performance of machine learning models trained with empirical risk minimization (ERM) can degrade considerably under distribution shifts. The presence of spurious correlations in training datasets leads ERM-trained models to…

Machine Learning · Computer Science 2023-02-08 Simon Roburin , Charles Corbière , Gilles Puy , Nicolas Thome , Matthieu Aubry , Renaud Marlet , Patrick Pérez

Complex biological systems are very robust to genetic and environmental changes at all levels of organization. Many biological functions of Escherichia coli metabolism can be sustained against single-gene or even multiple-gene mutations by…

Molecular Networks · Quantitative Biology 2007-08-30 Pan-Jun Kim , Dong-Yup Lee , Tae Yong Kim , Kwang Ho Lee , Hawoong Jeong , Sang Yup Lee , Sunwon Park