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A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

Optimization and Control · Mathematics 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

Recent developments in Omics-technologies revolutionized the investigation of biology by producing molecular data in multiple dimensions and scale. This breakthrough in biology raises the crucial issue of their interpretation based on…

Artificial Intelligence · Computer Science 2020-09-09 Sara Sadat Aghamiri , Franck Delaplace

Correct inference of genetic regulations inside a cell is one of the greatest challenges in post genomic era for the biologist and researchers. Several intelligent techniques and models were already proposed to identify the regulatory…

Artificial Intelligence · Computer Science 2017-08-03 Sudip Mandal , Goutam Saha , Rajat K. Pal

Tensor networks (TNs) enable compact representations of large tensors through shared parameters. Their use in probabilistic modeling is particularly appealing, as probabilistic tensor networks (PTNs) allow for tractable computation of…

Machine Learning · Computer Science 2025-10-02 Marawan Gamal Abdel Hameed , Guillaume Rabusseau

Inferring dynamic biochemical networks is one of the main challenges in systems biology. Given experimental data, the objective is to identify the rules of interaction among the different entities of the network. However, the number of…

Commutative Algebra · Mathematics 2012-07-31 Franziska Hinkelmann , Abdul Salam Jarrah

Objective functions for training of deep networks for face-related recognition tasks, such as facial expression recognition (FER), usually consider each sample independently. In this work, we present a novel peak-piloted deep network (PPDN)…

Computer Vision and Pattern Recognition · Computer Science 2017-01-04 Xiangyun Zhao , Xiaodan Liang , Luoqi Liu , Teng Li , Yugang Han , Nuno Vasconcelos , Shuicheng Yan

Dynamic Bayesian networks (DBNs) are a general model for stochastic processes with partially observed states. Belief filtering in DBNs is the task of inferring the belief state (i.e. the probability distribution over process states) based…

Artificial Intelligence · Computer Science 2019-07-15 Stefano V. Albrecht , Subramanian Ramamoorthy

Cells use genetic switches to shift between alternate stable gene expression states, e.g., to adapt to new environments or to follow a developmental pathway. Conceptually, these stable phenotypes can be considered as attractive states on an…

Molecular Networks · Quantitative Biology 2021-06-18 Michael Assaf , Shay Be'er , Elijah Roberts

Network theory has proven invaluable in unraveling complex protein interactions. Previous studies have employed statistical methods rooted in network theory, including the Gaussian graphical model, to infer networks among proteins,…

Methodology · Statistics 2026-05-07 Seungjun Ahn , Eun Jeong Oh

We investigate the dynamical properties of the transcriptional regulation of gene expression in the yeast Saccharomyces Cerevisiae within the framework of a synchronously and deterministically updated Boolean network model. By means of a…

Molecular Networks · Quantitative Biology 2015-05-13 Murat Tugrul , Alkan Kabakcioglu

In this paper, we propose a mean-field model which attempts to bridge the gap between random Boolean networks and more realistic stochastic modeling of genetic regulatory networks. The main idea of the model is to replace all regulatory…

Quantitative Methods · Quantitative Biology 2009-11-13 M. Andrecut , S. A. Kauffman

Random Boolean networks (RBNs) are models of genetic regulatory networks. It is useful to describe RBNs as self-organizing systems to study how changes in the nodes and connections affect the global network dynamics. This article reviews…

Adaptation and Self-Organizing Systems · Physics 2010-09-24 Carlos Gershenson

Estimating slide- and patch-level gene expression profiles from pathology images enables rapid and low-cost molecular analysis with broad clinical impact. Despite strong results, existing approaches treat gene expression as a mere slide- or…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Kazuya Nishimura , Ryoma Bise , Shinnosuke Matsuo , Haruka Hirose , Yasuhiro Kojima

We present a deep learning model for data-driven simulations of random dynamical systems without a distributional assumption. The deep learning model consists of a recurrent neural network, which aims to learn the time marching structure,…

Machine Learning · Computer Science 2022-04-12 Kyongmin Yeo , Zan Li , Wesley M. Gifford

Partially-observed Boolean dynamical systems (POBDS) are a general class of nonlinear models with application in estimation and control of Boolean processes based on noisy and incomplete measurements. The optimal minimum mean square error…

Methodology · Statistics 2017-03-08 Mahdi Imani , Ulisses Braga-Neto

Methods of modeling cellular regulatory networks as diverse as differential equations and Boolean networks co-exist, however, without any closer correspondence to each other. With the example system of the fission yeast cell cycle control…

Molecular Networks · Quantitative Biology 2015-03-13 Maria Davidich , Stefan Bornholdt

Bayesian network is a complete model for the variables and their relationships, it can be used to answer probabilistic queries about them. A Bayesian network can thus be considered a mechanism for automatically applying Bayes' theorem to…

Artificial Intelligence · Computer Science 2010-11-08 Jianguo Ding

Complex networks describe important structures in nature and society, composed of nodes and the edges that connect them. The evolution of these networks is typically described by dynamics, which are labor-intensive and require expert…

Machine Learning · Computer Science 2024-10-16 Haiquan Qiu , Shuzhi Liu , Quanming Yao

This short paper introduces a new way by which to design production system rules. An indirect encoding scheme is presented which views such rules as protein complexes produced by the temporal behaviour of an artificial genetic regulatory…

Neural and Evolutionary Computing · Computer Science 2012-01-24 Larry Bull

In audio signal processing, probabilistic time-frequency models have many benefits over their non-probabilistic counterparts. They adapt to the incoming signal, quantify uncertainty, and measure correlation between the signal's amplitude…

Signal Processing · Electrical Eng. & Systems 2019-02-13 William J. Wilkinson , Michael Riis Andersen , Joshua D. Reiss , Dan Stowell , Arno Solin