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The principal support vector machines method (Li et al., 2011) is a powerful tool for sufficient dimension reduction that replaces original predictors with their low-dimensional linear combinations without loss of information. However, the…

Machine Learning · Statistics 2019-12-02 Jun Jin , Chao Ying , Zhou Yu

We developed an automated approach to construct the complex reaction network and explore the reaction mechanism for several reactant molecules. The nanoreactor type molecular dynamics was employed to generate possible chemical reactions, in…

Chemical Physics · Physics 2023-12-05 Yutai Zhang , Chao Xu , Zhenggang Lan

To support mechanism online learning and facilitate digital twin development for biomanufacturing processes, this paper develops an efficient Bayesian inference approach for partially observed enzymatic stochastic reaction network (SRN), a…

Machine Learning · Statistics 2024-07-02 Wandi Xu , Wei Xie

DNA strand displacement systems have proven themselves to be fertile substrates for the design of programmable molecular machinery and circuitry. Domain-level reaction enumerators provide the foundations for molecular programming languages…

Computational Engineering, Finance, and Science · Computer Science 2020-06-05 Casey Grun , Karthik Sarma , Brian Wolfe , Seung Woo Shin , Erik Winfree

The development and use of dimension reduction methods is prevalent in modern statistical literature. This paper reviews a class of dimension reduction techniques which aim to simultaneously select relevant predictors and find clusters…

Methodology · Statistics 2022-02-18 Suchit Mehrotra

As graph data becomes more ubiquitous, the need for robust inferential graph algorithms to operate in these complex data domains is crucial. In many cases of interest, inference is further complicated by the presence of adversarial data…

Machine Learning · Statistics 2022-08-23 Sheyda Peyman , Minh Tang , Vince Lyzinski

Inversions, also sometimes called reversals, are a major contributor to variation among bacterial genomes, with studies suggesting that those involving small numbers of regions are more likely than larger inversions. Deletions may arise in…

Rings and Algebras · Mathematics 2023-07-11 Chad Clark , Julius Jonušas , James D. Mitchell , Andrew Francis

Machine learning approaches to Structure-Based Drug Design (SBDD) have proven quite fertile over the last few years. In particular, diffusion-based approaches to SBDD have shown great promise. We present a technique which expands on this…

Machine Learning · Computer Science 2024-07-01 Matan Halfon , Eyal Rozenberg , Ehud Rivlin , Daniel Freedman

We apply recent advances in machine learning and computer vision to a central problem in materials informatics: The statistical representation of microstructural images. We use activations in a pre-trained convolutional neural network to…

Computational Physics · Physics 2018-12-04 Nicholas Lubbers , Turab Lookman , Kipton Barros

The network scale-up method enables researchers to estimate the size of hidden populations, such as drug injectors and sex workers, using sampled social network data. The basic scale-up estimator offers advantages over other size estimation…

Applications · Statistics 2016-11-14 Dennis M. Feehan , Matthew J. Salganik

We study stationary distributions in the context of stochastic reaction networks. In particular, we are interested in complex balanced reaction networks and reduction of such networks by assuming a set of species (called non-interacting…

Probability · Mathematics 2024-02-06 Linard Hoessly , Carsten Wiuf , Panqiu Xia

In this perspective article, we present a multidisciplinary approach for characterizing protein structure networks. We first place our approach in its historical context and describe the manner in which it synthesizes concepts from quantum…

Molecular Networks · Quantitative Biology 2019-12-30 Vasundhara Gadiyaram , Smitha Vishveshwara , Saraswathi Vishveshwara

Resonator networks are ubiquitous in natural and engineered systems, such as solid-state materials, neural tissue, and electrical circuits. To understand and manipulate these networks, it is essential to characterize their building blocks,…

Data Analysis, Statistics and Probability · Physics 2023-06-05 Viva R. Horowitz , Brittany Carter , Uriel Hernandez , Trevor Scheuing , Benjamín J. Alemán

Chemical reaction networks are widely used to model stochastic dynamics in chemical kinetics, systems biology and epidemiology. Solving the chemical master equation that governs these systems poses a significant challenge due to the large…

Molecular Networks · Quantitative Biology 2025-12-16 Jiayu Weng , Xinyi Zhu , Jing Liu , Linyuan Lü , Pan Zhang , Ying Tang

We introduce a simplified technique for incorporating diffusive phenomena into lattice-gas molecular dynamics models. In this method, spatial interactions take place one dimension at a time, with a separate fractional timestep devoted to…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Raissa M. D'Souza , Norman H. Margolus , Mark A. Smith

Computational approaches to exploring "chemical universes", i.e., very large sets, potentially infinite sets of compounds that can be constructed by a prescribed collection of reaction mechanisms, in practice suffer from a combinatorial…

Formal Languages and Automata Theory · Computer Science 2014-04-16 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

The Jacobian matrix of a dynamic system and its principal minors play a prominent role in the study of qualitative dynamics and bifurcation analysis. When interpreting the Jacobian as an adjacency matrix of an interaction graph, its…

Molecular Networks · Quantitative Biology 2012-10-02 Hans-Michael Kaltenbach

Structured chemical reaction information plays a vital role for chemists engaged in laboratory work and advanced endeavors such as computer-aided drug design. Despite the importance of extracting structured reactions from scientific…

Computation and Language · Computer Science 2023-07-06 Ming Zhong , Siru Ouyang , Minhao Jiang , Vivian Hu , Yizhu Jiao , Xuan Wang , Jiawei Han

Motivated by recent progress on the interplay between graph theory, dynamics, and systems theory, we revisit the analysis of chemical reaction networks described by mass action kinetics. For reaction networks possessing a thermodynamic…

Optimization and Control · Mathematics 2012-06-19 Arjan van der Schaft , Shodhan Rao , Bayu Jayawardhana

This paired article aims to develop an automated and programmable biochemical fully connected neural network (BFCNN) with solid theoretical support. In Part I, a concrete design for BFCNN is presented, along with the validation of the…

Dynamical Systems · Mathematics 2024-01-17 Yuzhen Fan , Xiaoyu Zhang , Chuanhou Gao , Denis Dochain
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