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Elastic MicroPhase Separation (EMPS) provides a simple route to create soft materials with homogeneous microstructures by leveraging the supersaturation of crosslinked polymer networks with liquids. At low supersaturation, network…

We consider robust combinatorial optimization problems with cost uncertainty where the decision maker can prepare K solutions beforehand and chooses the best of them once the true cost is revealed. Also known as min-max-min robustness (a…

Optimization and Control · Mathematics 2019-10-29 Marc Goerigk , Jannis Kurtz , Michael Poss

The existence of a positive linear functional acting on the space of (differences between) conformal blocks has been shown to rule out regions in the parameter space of conformal field theories (CFTs). We argue that at the boundary of the…

High Energy Physics - Theory · Physics 2015-06-12 Sheer El-Showk , Miguel F. Paulos

Elastic network models (ENMs) are valuable and efficient tools for characterizing the collective internal dynamics of proteins based on the knowledge of their native structures. The increasing evidence that the biological functionality of…

Biomolecules · Quantitative Biology 2015-09-01 Giovanni Pinamonti , Sandro Bottaro , Cristian Micheletti , Giovanni Bussi

The problem of robust mean estimation in high dimensions is studied, in which a certain fraction (less than half) of the datapoints can be arbitrarily corrupted. Motivated by compressive sensing, the robust mean estimation problem is…

Applications · Statistics 2022-12-08 Aditya Deshmukh , Jing Liu , Venugopal V. Veeravalli

Matrix factorization (MF) has been widely used to discover the low-rank structure and to predict the missing entries of data matrix. In many real-world learning systems, the data matrix can be very high-dimensional but sparse. This poses an…

Information Retrieval · Computer Science 2019-01-08 Xiangnan He , Jinhui Tang , Xiaoyu Du , Richang Hong , Tongwei Ren , Tat-Seng Chua

Clustering is essential in data analysis and machine learning, but traditional algorithms like $k$-means and Gaussian Mixture Models (GMM) often fail with nonconvex clusters. To address the challenge, we introduce the Flexible Bivariate…

Machine Learning · Computer Science 2025-02-28 Yung-Peng Hsu , Hung-Hsuan Chen

One popular assumption regarding biological systems is that traits have evolved to be optimized with respect to function. This is a standard goal in evolutionary computation, and while not always embraced in the biological sciences, is an…

Quantitative Methods · Quantitative Biology 2014-09-16 Bradly Alicea

In this paper, we present new optimization models for Support Vector Machine (SVM), with the aim of separating data points in two or more classes. The classification task is handled by means of nonlinear classifiers induced by kernel…

Optimization and Control · Mathematics 2025-07-15 Francesca Maggioni , Andrea Spinelli

The task of dynamic flow estimation is to construct an approximation of an evolving flow---and particularly, its response to disturbances---using measurements from available sensors. Building from previous work by Darakananda et al.~(Phys…

Fluid Dynamics · Physics 2021-05-19 Mathieu Le Provost , Jeff D. Eldredge

In burst-mode communication systems, the quality of frame synchronization (FS) at receivers significantly impacts the overall system performance. To guarantee FS, an extreme learning machine (ELM)-based synchronization method is proposed to…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Chaojin Qing , Wang Yu , Bin Cai , Jiafan Wang , Chuan Huang

We discuss certain basic features of the equation-free (EF) approach to modeling and computation for complex/multiscale systems. We focus on links between the equation-free approach and tools from systems and control theory (design of…

Cellular Automata and Lattice Gases · Physics 2007-05-23 C. I. Siettos , R. Rico-Martinez , I. G. kevrekidis

An adaptive refinement strategy, based on an equilibrated flux a posteriori error estimator, is proposed in the context of defeaturing problems. Defeaturing consists of removing features from complex domains to simplify mesh generation and…

Numerical Analysis · Mathematics 2026-03-04 Annalisa Buffa , Denise Grappein , Rafael Vázquez

In this paper two formulations for the robust optimization of the size of the permanent magnet in a synchronous machine are discussed. The optimization is constrained by a partial differential equation to describe the electromagnetic…

Optimization and Control · Mathematics 2018-08-07 Zeger Bontinck , Oliver Lass , Sebastian Schöps , Stefan Ulbrich , Oliver Rain

Carbon isotope labeling method is a standard metabolic engineering tool for flux quantification in living cells. To cope with the high dimensionality of isotope labeling systems, diverse algorithms have been developed to reduce the number…

Molecular Networks · Quantitative Biology 2022-02-11 Quentin Thommen , Julien Hurbain , Benjamin Pfeuty

Energy-based models (EBMs) are a powerful class of probabilistic generative models due to their flexibility and interpretability. However, relationships between potential flows and explicit EBMs remain underexplored, while contrastive…

Cells can use periodic enzyme activities to adapt to periodic environments or existing internal rhythms and to establish metabolic cycles that schedule biochemical processes in time. A periodically changing allocation of the protein budget…

Molecular Networks · Quantitative Biology 2022-10-05 Wolfram Liebermeister

We present some optimal criteria to evaluate model-robustness of non-regular two-level fractional factorial designs. Our method is based on minimizing the sum of squares of all the off-diagonal elements in the information matrix, and…

Methodology · Statistics 2009-11-24 Satoshi Aoki

The implementation of finite element methods (FEMs) for nonlocal models with a finite range of interaction poses challenges not faced in the partial differential equations (PDEs) setting. For example, one has to deal with weak forms…

Numerical Analysis · Mathematics 2020-05-22 Marta D'Elia , Max Gunzburger , Christian Vollmann

This work presents a novel posterior inference method for models with intractable evidence and likelihood functions. Error-guided likelihood-free MCMC, or EG-LF-MCMC in short, has been developed for scientific applications, where a…

Machine Learning · Statistics 2021-04-27 Volodimir Begy , Erich Schikuta