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The essence of multivariate sequential learning is all about how to extract dependencies in data. These data sets, such as hourly medical records in intensive care units and multi-frequency phonetic time series, often time exhibit not only…

Machine Learning · Computer Science 2021-01-01 Yaquan Zhang , Qi Wu , Nanbo Peng , Min Dai , Jing Zhang , Hu Wang

Single-cell RNA sequencing (scRNA-seq) technology provides high-throughput gene expression data to study the cellular heterogeneity and dynamics of complex organisms. Graph neural networks (GNNs) have been widely used for automatic cell…

Machine Learning · Computer Science 2023-12-19 Rui Yang , Wenrui Dai , Chenglin Li , Junni Zou , Dapeng Wu , Hongkai Xiong

The deep Convolutional Neural Network (CNN) is the state-of-the-art solution for large-scale visual recognition. Following basic principles such as increasing the depth and constructing highway connections, researchers have manually…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Lingxi Xie , Alan Yuille

Many important problems can be modeled as a system of interconnected entities, where each entity is recording time-dependent observations or measurements. In order to spot trends, detect anomalies, and interpret the temporal dynamics of…

Machine Learning · Computer Science 2017-06-13 David Hallac , Youngsuk Park , Stephen Boyd , Jure Leskovec

Random boolean networks are a model of genetic regulatory networks that has proven able to describe experimental data in biology. They not only reproduce important phenomena in cell dynamics, but they are also extremely interesting from a…

Dynamical Systems · Mathematics 2015-02-26 Marco Villani , Davide Campioli , Chiara Damiani , Andrea Roli , Alessandro Filisetti , Roberto Serra

This paper introduces Graph Convolutional Recurrent Network (GCRN), a deep learning model able to predict structured sequences of data. Precisely, GCRN is a generalization of classical recurrent neural networks (RNN) to data structured by…

Machine Learning · Statistics 2016-12-23 Youngjoo Seo , Michaël Defferrard , Pierre Vandergheynst , Xavier Bresson

Many real-world complex systems, such as epidemic spreading networks and ecosystems, can be modeled as networked dynamical systems that produce multivariate time series. Learning the intrinsic dynamics from observational data is pivotal for…

Machine Learning · Computer Science 2024-12-30 Yanna Ding , Zijie Huang , Malik Magdon-Ismail , Jianxi Gao

Modeling the dynamics of cellular differentiation is fundamental to advancing the understanding and treatment of diseases associated with this process, such as cancer. With the rapid growth of single-cell datasets, this has also become a…

Time series forecasting lies at the core of important real-world applications in many fields of science and engineering. The abundance of large time series datasets that consist of complex patterns and long-term dependencies has led to the…

Machine Learning · Computer Science 2023-12-01 Nancy Xu , Chrysoula Kosma , Michalis Vazirgiannis

It has been estimated that about 30% of the genes in the human genome are regulated by microRNAs (miRNAs). These are short RNA sequences that can down-regulate the levels of mRNAs or proteins in animals and plants. Genes regulated by miRNAs…

Applications · Statistics 2011-01-10 Francesco C. Stingo , Yian A. Chen , Marina Vannucci , Marianne Barrier , Philip E. Mirkes

Modern high-throughput biological datasets with thousands of perturbations provide the opportunity for large-scale discovery of causal graphs that represent the regulatory interactions between genes. Differentiable causal graphical models…

Machine Learning · Computer Science 2025-11-14 Zaikang Lin , Sei Chang , Aaron Zweig , Minseo Kang , Elham Azizi , David A. Knowles

We have introduced a novel multiplex recurrence network (MRN) approach by combining recurrence networks with the multiplex network approach in order to investigate multivariate time series. The potential use of this approach is demonstrated…

Data Analysis, Statistics and Probability · Physics 2020-03-09 Deniz Eroglu , Norbert Marwan , Martina Stebich , Jürgen Kurths

Gene regulatory network inference is crucial for understanding the complex molecular interactions in various genetic and environmental conditions. The rapid development of single-cell RNA sequencing (scRNA-seq) technologies unprecedentedly…

Methodology · Statistics 2021-11-09 Feiyi Xiao , Junjie Tang , Huaying Fang , Ruibin Xi

Understanding gene regulation is a fundamental step towards understanding of how cells function and respond to environmental cues and perturbations. An important step in this direction is to infer the transcription factor-gene regulatory…

Molecular Networks · Quantitative Biology 2017-04-25 Yijie Wang , Dong-Yeon Cho , Hangnoh Lee , Justin Fear , Brian Oliver , Teresa M Przytycka

It is widely accepted that the complex dynamics characteristic of recurrent neural circuits contributes in a fundamental manner to brain function. Progress has been slow in understanding and exploiting the computational power of recurrent…

Chaotic Dynamics · Physics 2013-07-18 Rodrigo Laje , Dean V. Buonomano

Recent developments in synthetic biology, next-generation sequencing, and machine learning provide an unprecedented opportunity to rationally design new disease treatments based on measured responses to gene perturbations and drugs to…

Molecular Networks · Quantitative Biology 2024-03-12 Thomas P. Wytock , Adilson E. Motter

Neural architectures such as Recurrent Neural Networks (RNNs), Transformers, and State-Space Models have shown great success in handling sequential data by learning temporal dependencies. Decision Trees (DTs), on the other hand, remain a…

Machine Learning · Computer Science 2025-02-07 Sascha Marton , Moritz Schneider

Motivation: Cell-biological processes are regulated through a complex network of interactions between genes and their products. The processes, their activating conditions, and the associated transcriptional responses are often unknown.…

Molecular Networks · Quantitative Biology 2012-02-03 Leo Lahti , Juha E. A. Knuuttila , Samuel Kaski

Recurrent neural networks are frequently studied in terms of their information-processing capabilities. The structural properties of these networks are seldom considered, beyond those emerging from the connectivity tuning necessary for…

Molecular Networks · Quantitative Biology 2025-02-20 Maria Sol Vidal-Saez , Jordi Garcia-Ojalvo

We present a general method for reconstruction of a network of nonlinearly coupled neural fields from the observations. A prominent example of such a system is a dynamical random neural network model studied by Sompolinsky et. al [Phys.…

Chaotic Dynamics · Physics 2017-11-16 A. Pikovsky