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Cellular regulatory dynamics is driven by large and intricate networks of interactions at the molecular scale, whose sheer size obfuscates understanding. In light of limited experimental data, many parameters of such dynamics are unknown,…

Quantitative Methods · Quantitative Biology 2014-04-30 Bryan C. Daniels , Ilya Nemenman

Aspect-based sentiment analysis (ABSA) aims at automatically inferring the specific sentiment polarities toward certain aspects of products or services behind the social media texts or reviews, which has been a fundamental application to…

Computation and Language · Computer Science 2023-05-22 Hao Fei , Tat-Seng Chua , Chenliang Li , Donghong Ji , Meishan Zhang , Yafeng Ren

Consider the standard stochastic reaction network model where the dynamics is given by a continuous-time Markov chain over a discrete lattice. For such models, estimation of parameter sensitivities is an important problem, but the existing…

Quantitative Methods · Quantitative Biology 2019-05-01 Patrik Dürrenberger , Ankit Gupta , Mustafa Khammash

Biochemical networks play a crucial role in biological systems, implementing a broad range of vital functions. They normally operate at low copy numbers and in spatial settings, but this is often ignored and well-stirred conditions are…

Molecular Networks · Quantitative Biology 2017-05-25 Thomas R. Sokolowski , Pieter Rein ten Wolde

Sensitivity analysis is an important tool used in many domains of computational science to either gain insight into the mathematical model and interaction of its parameters or study the uncertainty propagation through the input-output…

Methodology · Statistics 2023-06-02 Juraj Kardos , Wouter Edeling , Diana Suleimenova , Derek Groen , Olaf Schenk

Simplified stochastic models are widely used in the study of frequency-resolved noise propagation in biochemical reaction networks, a common measure being the coherence between random fluctuations in molecule number trajectories. Such…

Molecular Networks · Quantitative Biology 2025-11-03 Juan David Marmolejo Lozano , Nikola Popovic , Ramon Grima

Sensitivity analysis (SA) has much to offer for a very large class of applications, such as model selection, calibration, optimization, quality assurance and many others. Sensitivity analysis offers crucial contextual information regarding…

Network estimation and variable selection have been extensively studied in the statistical literature, but only recently have those two challenges been addressed simultaneously. In this paper, we seek to develop a novel method to…

Methodology · Statistics 2024-06-11 Nathan Osborne , Christine B. Peterson , Marina Vannucci

Based on the theory of stochastic chemical kinetics, the inherent randomness and stochasticity of biochemical reaction networks can be accurately described by discrete-state continuous-time Markov chains. The analysis of such processes is,…

Numerical Analysis · Mathematics 2014-10-14 Andreychenko Alexander , Mikeev Linar , Wolf Verena

Stochastic approximation (SA) with multiple coupled sequences has found broad applications in machine learning such as bilevel learning and reinforcement learning (RL). In this paper, we study the finite-time convergence of nonlinear SA…

Machine Learning · Computer Science 2022-06-22 Han Shen , Tianyi Chen

We report the first study of a network of connected enzyme-catalyzed reactions, with added chemical and enzymatic processes that incorporate the recently developed biochemical filtering steps into the functioning of this biocatalytic…

Molecular Networks · Quantitative Biology 2013-12-17 Vladimir Privman , Oleksandr Zavalov , Lenka Halamkova , Fiona Moseley , Jan Halamek , Evgeny Katz

We present adaptive sequential SAA (sample average approximation) algorithms to solve large-scale two-stage stochastic linear programs. The iterative algorithm framework we propose is organized into \emph{outer} and \emph{inner} iterations…

Optimization and Control · Mathematics 2020-12-08 Raghu Pasupathy , Yongjia Song

To facilitate a rapid response to pandemic threats, this paper focuses on developing a mechanistic simulation model for in vitro transcription (IVT) process, a crucial step in mRNA vaccine manufacturing. To enhance production and support…

Molecular Networks · Quantitative Biology 2023-06-22 Keqi Wang , Wei Xie , Hua Zheng

We develop a simple, chemostat-based model illustrating how a process analogous to associative learning can occur in a biochemical network. Associative learning is a form of learning whereby a system "learns" to associate two stimuli with…

Molecular Networks · Quantitative Biology 2007-05-23 Nikhil Ghandi , Gonen Ashkenasy , Emmanuel Tannenbaum

Most protein families have fewer than 100 known members, a regime where deep generative models overfit or collapse. We propose stochastic attention (SA), a training-free sampler that treats the modern Hopfield energy over a protein…

Machine Learning · Computer Science 2026-03-17 Jeffrey D. Varner

It has recently been shown that structural conditions on the reaction network, rather than a 'fine-tuning' of system parameters, often suffice to impart 'absolute concentration robustness' on a wide class of biologically relevant,…

Probability · Mathematics 2014-01-20 David F. Anderson , German Enciso , Matthew Johnston

Modern science and industry rely on computational models for simulation, prediction, and data analysis. Spatial blind source separation (SBSS) is a model used to analyze spatial data. Designed explicitly for spatial data analysis, it is…

Human-Computer Interaction · Computer Science 2024-04-12 Nikolaus Piccolotto , Markus Bögl , Christoph Muehlmann , Klaus Nordhausen , Peter Filzmoser , Johanna Schmidt , Silvia Miksch

Integrating measurements and historical data can enhance control systems through learning-based techniques, but ensuring performance and safety is challenging. Robust model predictive control strategies, like stochastic model predictive…

Systems and Control · Electrical Eng. & Systems 2023-03-28 J. Pohlodek , H. Alsmeier , B. Morabito , C. Schlauch , A. Savchenko , R. Findeisen

Large multidimensionality of high-throughput datasets pertaining to cell signaling and gene regulation renders it difficult to extract mechanisms underlying the complex kinetics involving various biochemical compounds (e.g., proteins,…

Quantitative Methods · Quantitative Biology 2012-01-25 Michael Dworkin , Sayak Mukherjee , Ciriyam Jayaprakash , Jayajit Das

Stochastic reaction networks, which are usually modeled as continuous-time Markov chains on $\mathbb Z^d_{\ge 0}$, and simulated via a version of the "Gillespie algorithm," have proven to be a useful tool for the understanding of processes,…

Probability · Mathematics 2025-07-15 David F. Anderson , Aidan S. Howells