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This paper introduces a tensor neural network (TNN) to address nonparametric regression problems, leveraging its distinct sub-network structure to effectively facilitate variable separation and enhance the approximation of complex,…

Machine Learning · Statistics 2024-09-16 Yongxin Li , Yifan Wang , Zhongshuo Lin , Hehu Xie

A brief pedagogical overview of recent advances in tensor network state methods are presented that have the potential to broaden their scope of application radically for strongly correlated molecular systems. These include global fermionic…

Strongly Correlated Electrons · Physics 2025-01-31 Miklós Antal Werner , Andor Menczer , Örs Legeza

Single-cell RNA sequencing (scRNA-seq) provides unprecedented insights into cellular heterogeneity, enabling detailed analysis of complex biological systems at single-cell resolution. However, the high dimensionality and technical noise…

Genomics · Quantitative Biology 2025-09-04 Hojjat Torabi Goudarzi , Maziyar Baran Pouyan

Stem cell regeneration is a vital biological process in self-renewing tissues, governing development and tissue homeostasis. Gene regulatory network dynamics are pivotal in controlling stem cell regeneration and cell type transitions.…

Molecular Networks · Quantitative Biology 2024-04-19 Yakun Li , Xiyin Liang , Jinzhi Lei

This work presents a novel method for task optimization in industrial plants using quantum-inspired tensor network technology. This method obtains the best possible combination of tasks on a set of machines with directed constraints while…

We introduce a novel method to unite deep learning with biology by which generative adversarial networks (GANs) generate transcriptome perturbations and reveal condition-defining gene expression patterns. We find that a generator…

Quantitative Methods · Quantitative Biology 2019-07-02 Colin Targonski , Benjamin T. Shealy , Melissa C. Smith , F. Alex Feltus

Living cells must control the reading out or "expression" of information encoded in their genomes, and this regulation often is mediated by transcription factors--proteins that bind to DNA and either enhance or repress the expression of…

Molecular Networks · Quantitative Biology 2013-08-01 Gašper Tkačik , Aleksandra M Walczak , William Bialek

Genetic algorithms are heuristic optimization techniques inspired by Darwinian evolution, which are characterized by successfully finding robust solutions for optimization problems. Here, we propose a subroutine-based quantum genetic…

Quantum Physics · Physics 2024-06-07 Rubén Ibarrondo , Giancarlo Gatti , Mikel Sanz

A critical task in systems biology is the identification of genes that interact to control cellular processes by transcriptional activation of a set of target genes. Many methods have been developed to use statistical correlations in…

Quantitative Methods · Quantitative Biology 2010-11-24 Adam A. Margolin , Kai Wang , Andrea Califano , Ilya Nemenman

We show that protein sequences can be thought of as sentences in natural language processing and can be parsed using the existing Quantum Natural Language framework into parameterized quantum circuits of reasonable qubits, which can be…

As quantum technologies develop, we acquire control of an ever-growing number of quantum systems. Unfortunately, current tools to detect relevant quantum properties of quantum states, such as entanglement and Bell nonlocality, suffer from…

Quantum Physics · Physics 2020-07-01 Miguel Navascues , Sukhbinder Singh , Antonio Acin

Machine learning (ML) has recently facilitated many advances in solving problems related to many-body physical systems. Given the intrinsic quantum nature of these problems, it is natural to speculate that quantum-enhanced machine learning…

Quantum Physics · Physics 2022-12-14 Shweta Sahoo , Utkarsh Azad , Harjinder Singh

Computing spectral functions in large, non-periodic super-moir\'e systems remains an open problem due to the exceptionally large system size that must be considered. Here, we establish a tensor network methodology that allows computing…

Strongly Correlated Electrons · Physics 2026-05-12 Anouar Moustaj , Yitao Sun , Tiago V. C. Antão , Jose L. Lado

Inferring the structure of gene regulatory networks (GRN) from gene expression data has many applications, from the elucidation of complex biological processes to the identification of potential drug targets. It is however a notoriously…

Machine Learning · Statistics 2012-05-08 Anne-Claire Haury , Fantine Mordelet , Paola Vera-Licona , Jean-Philippe Vert

Constrained combinatorial optimization problems abound in industry, from portfolio optimization to logistics. One of the major roadblocks in solving these problems is the presence of non-trivial hard constraints which limit the valid search…

Quantum Physics · Physics 2024-11-07 Javier Lopez-Piqueres , Jing Chen , Alejandro Perdomo-Ortiz

In the past years, many computational methods have been developed to infer the structure of gene regulatory networks from time-series data. However, the applicability and accuracy presumptions of such algorithms remain unclear due to…

Molecular Networks · Quantitative Biology 2019-07-01 Laurent Mombaerts , Atte Aalto , Johan Markdahl , Jorge Goncalves

Genetic interaction measures how different genes collectively contribute to a phenotype, and can reveal functional compensation and buffering between pathways under genetic perturbations. Recently, genome-wide screening for genetic…

Molecular Networks · Quantitative Biology 2015-03-17 Gang Fang , Wen Wang , Vanja Paunic , Benjamin Oately , Majda Haznadar , Michael Steinbach , Brian Van Ness , Chad L. Myers , Vipin Kumar

A theory for qualitative models of gene regulatory networks has been developed over several decades, generally considering transcription factors to regulate directly the expression of other transcription factors, without any intermediate…

Classical Analysis and ODEs · Mathematics 2016-07-20 D. Hudson , R. Edwards

Developments in transcriptomics techniques have caused a large demand in tailored computational methods for modelling gene expression dynamics from experimental data. Recently, so-called single-cell experiments have revolutionised genetic…

Quantitative Methods · Quantitative Biology 2019-03-18 Atte Aalto , Jorge Goncalves

We present a pedagogical, hands-on tutorial on \emph{replica tensor-network} techniques for random quantum circuits. At its core, the method recasts circuit-averaged observables acting on multiple copies of the system as the contraction of…

Quantum Physics · Physics 2026-05-13 Xhek Turkeshi
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