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Discrete modelling frameworks of Biological networks can be divided in two distinct categories: Boolean and Multi-valued. Although Multi-valued networks are more expressive for qualifying the regulatory behaviours modelled by more than two…

Discrete Mathematics · Computer Science 2020-01-22 Franck Delaplace , Sergiu Ivanov

Boolean networks are dynamical models of disease development in which the activation levels of genes are represented by binary variables. Given a Boolean network, controls represent mutations or medical treatments that fix the activation…

Optimization and Control · Mathematics 2026-04-02 Kyungduk Moon , Kangbok Lee , Loïc Paulevé

We discuss a general method to construct correlated binomial distributions by imposing several consistent relations on the joint probability function. We obtain self-consistency relations for the conditional correlations and conditional…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. Hisakado , K. Kitsukawa , S. Mori

Recent advances in modeling large-scale complex physical systems have shifted research focuses towards data-driven techniques. However, generating datasets by simulating complex systems can require significant computational resources.…

Machine Learning · Statistics 2022-08-22 Subhayan De , Matthew Reynolds , Malik Hassanaly , Ryan N. King , Alireza Doostan

Neural network quantization methods often involve simulating the quantization process during training, making the trained model highly dependent on the target bit-width and precise way quantization is performed. Robust quantization offers…

Machine Learning · Computer Science 2020-10-23 Moran Shkolnik , Brian Chmiel , Ron Banner , Gil Shomron , Yury Nahshan , Alex Bronstein , Uri Weiser

Training machine learning models from data with weak supervision and dataset shifts is still challenging. Designing algorithms when these two situations arise has not been explored much, and existing algorithms cannot always handle the most…

Machine Learning · Computer Science 2023-08-30 Pierre Nodet , Vincent Lemaire , Alexis Bondu , Antoine Cornuéjols

In this article, two types of methods from different perspectives based on spectral normalization are described for ensuring the stability of the system controlled by a neural network. The first one is that the L2 gain of the feedback…

Artificial Intelligence · Computer Science 2020-12-29 Ryoichi Takase , Nobuyuki Yoshikawa , Toshisada Mariyama , Takeshi Tsuchiya

This paper focuses on the stabilization and regulation of linear systems affected by quantization in state-transition data and actuated input. The observed data are composed of tuples of current state, input, and the next state's interval…

Optimization and Control · Mathematics 2023-09-26 Jared Miller , Jian Zheng , Mario Sznaier , Chris Hixenbaugh

Complex diseases can be modeled as damage to intracellular networks that results in abnormal cell behaviors. Network-based dynamic models such as Boolean models have been employed to model a variety of biological systems including those…

Biological Physics · Physics 2016-12-30 Gang Yang , Colin Campbell , Réka Albert

To model biological systems using networks, it is desirable to allow more than two levels of expression for the nodes and to allow the introduction of parameters. Various modeling and simulation methods addressing these needs using Boolean…

Molecular Networks · Quantitative Biology 2014-04-23 Yi Ming Zou

We demonstrate the effects of embedding subgraphs using a Boolean network, which is one of the discrete dynamical models for transcriptional regulatory networks. After comparing the dynamical properties of network embedded seven different…

Cellular Automata and Lattice Gases · Physics 2008-06-26 Chikoo Oosawa , Michael A. Savageau , Abdul S. Jarrah , Reinhard C. Laubenbacher , Eduardo D. Sontag

A reliable modeling of uncertain evidence in Bayesian networks based on a set-valued quantification is proposed. Both soft and virtual evidences are considered. We show that evidence propagation in this setup can be reduced to standard…

Artificial Intelligence · Computer Science 2018-02-16 Sabina Marchetti , Alessandro Antonucci

We consider the design of fast and reliable neural network (NN)-based approximations of traditional stabilizing controllers for linear systems with polytopic uncertainty, including control laws with variable structure and those based on a…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Filippo Fabiani , Paul J. Goulart

We investigate how classifiers for Boolean networks (BNs) can be constructed and modified under constraints. A typical constraint is to observe only states in attractors or even more specifically steady states of BNs. Steady states of BNs…

Commutative Algebra · Mathematics 2021-08-20 Robert Schwieger , Matías R. Bender , Heike Siebert , Christian Haase

This paper investigates the optimization of the long-standing probabilistically robust transmit beamforming problem with channel uncertainties in the multiuser multiple-input single-output (MISO) downlink transmission. This problem poses…

Information Theory · Computer Science 2024-06-06 Kai Liang , Gan Zheng , Zan Li , Kai-Kit Wong , Chan-Byoung Chae

We propose a novel way to improve the generalisation capacity of deep learning models by reducing high correlations between neurons. For this, we present two regularisation terms computed from the weights of a minimum spanning tree of the…

Machine Learning · Computer Science 2023-08-10 Rubén Ballester , Carles Casacuberta , Sergio Escalera

Recent advancements in machine learning have accelerated its widespread adoption across various real-world applications. However, in safety-critical domains, the deployment of machine learning models is riddled with challenges due to their…

Artificial Intelligence · Computer Science 2024-08-05 Ignacy Stępka , Nicholas Gisolfi , Artur Dubrawski

In this paper, we address the problem of stabilizing a system around a desired manifold determined by virtual nonlinear nonholonomic constraints. Virtual constraints are relationships imposed on a control system that are rendered invariant…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Efstratios Stratoglou , Alexandre Anahory Simoes , Anthony Bloch , Leonardo Colombo

This paper studies the minimum control node set problem for Boolean networks (BNs) with degree constraints. The main contribution is to derive the nontrivial lower and upper bounds on the size of the minimum control node set through…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Liangjie Sun , Wai-Ki Ching , Tatsuya Akutsu

In the realm of supervised learning, Bayesian learning has shown robust predictive capabilities under input and parameter perturbations. Inspired by these findings, we demonstrate the robustness properties of Bayesian learning in the…

Machine Learning · Computer Science 2022-05-17 Nardos Ayele Ashenafi , Wankun Sirichotiyakul , Aykut C. Satici