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Classical graphical modeling of multivariate random vectors uses graphs to encode conditional independence. In graphical modeling of multivariate stochastic processes, graphs may encode so-called local independence analogously. If some…

Statistics Theory · Mathematics 2023-02-27 Søren Wengel Mogensen

In high-throughput data, dynamic correlation between genes, i.e. changing correlation patterns under different biological conditions, can reveal important regulatory mechanisms. Given the complex nature of dynamic correlation, and the…

Applications · Statistics 2017-05-09 Tianwei Yu

Probabilistic graphical models (PGMs) have become a popular tool for computational analysis of biological data in a variety of domains. But, what exactly are they and how do they work? How can we use PGMs to discover patterns that are…

Quantitative Methods · Quantitative Biology 2010-02-22 Edoardo M Airoldi

Gene-gene interactions have long been recognized to be fundamentally important to understand genetic causes of complex disease traits. At present, identifying gene-gene interactions from genome-wide case-control studies is computationally…

Genomics · Quantitative Biology 2010-01-29 Xiang Wan , Can Yang , Qiang Yang , Hong Xue , Xiaodan Fan , Nelson L. S. Tang , Weichuan Yu

Systematic relations between multiple objects that occur in various fields can be represented as networks. Real-world networks typically exhibit complex topologies whose structural properties are key factors in characterizing and further…

Physics and Society · Physics 2021-04-09 Yoshihisa Tanaka , Ryosuke Kojima , Shoichi Ishida , Fumiyoshi Yamashita , Yasushi Okuno

Motivation: Modelling methods that find structure in data are necessary with the current large volumes of genomic data, and there have been various efforts to find subsets of genes exhibiting consistent patterns over subsets of treatments.…

Machine Learning · Computer Science 2016-09-15 Kerstin Bunte , Eemeli Leppäaho , Inka Saarinen , Samuel Kaski

Selecting subsets of features that differentiate between two conditions is a key task in a broad range of scientific domains. In many applications, the features of interest form clusters with similar effects on the data at hand. To recover…

Machine Learning · Computer Science 2022-11-11 Ram Dyuthi Sristi , Gal Mishne , Ariel Jaffe

Explainability in classification results are dependent upon the features used for classification. Data dependency graph features representing data movement are directly correlated with operational semantics, and subject to fine grained…

Cryptography and Security · Computer Science 2024-07-09 John Musgrave , Anca Ralescu

Image-based characterization and disease understanding involve integrative analysis of morphological, spatial, and topological information across biological scales. The development of graph convolutional networks (GCNs) has created the…

Image and Video Processing · Electrical Eng. & Systems 2022-04-22 Kexin Ding , Mu Zhou , Zichen Wang , Qiao Liu , Corey W. Arnold , Shaoting Zhang , Dimitri N. Metaxas

Few-shot Knowledge Graph Completion (FKGC) infers missing triples from limited support samples, tackling long-tail distribution challenges. Existing methods, however, struggle to capture complex relational patterns and mitigate data…

Computation and Language · Computer Science 2026-01-22 Zilong Wang , Qingtian Zeng , Hua Duan , Cheng Cheng , Minghao Zou , Ziyang Wang

Generative Adversarial Networks (GANs) are modern methods to learn the underlying distribution of a data set. GANs have been widely used in sample synthesis, de-noising, domain transfer, etc. GANs, however, are designed in a model-free…

Machine Learning · Computer Science 2021-03-01 Mucong Ding , Constantinos Daskalakis , Soheil Feizi

Multi-disease diagnosis using multi-modal data like electronic health records and medical imaging is a critical clinical task. Although existing deep learning methods have achieved initial success in this area, a significant gap persists…

Multimedia · Computer Science 2025-09-22 Yueheng Jiang , Peng Zhang

We introduce a novel class of graphical models, termed profile graphical models, that represent, within a single graph, how an external factor influences the dependence structure of a multivariate set of variables. This class is quite…

Methodology · Statistics 2026-03-31 Alejandra Avalos-Pacheco , Monia Lupparelli , Francesco C. Stingo

Due to rapid technological advances, a wide range of different measurements can be obtained from a given biological sample including single nucleotide polymorphisms, copy number variation, gene expression levels, DNA methylation and…

Methodology · Statistics 2013-03-29 Christopher Minas , Edward Curry , Giovanni Montana

Reconstructing gene regulatory networks from large-scale heterogeneous data is a key challenge in biology. In multi-omics data analysis, networks based on pairwise statistical association measures remain popular, as they are easy to build…

Methodology · Statistics 2025-06-11 Ekaterina Tomilina , Florence Jaffrézic , Gildas Mazo

The advent of large language models (LLMs) has revolutionized the integration of knowledge graphs (KGs) in biomedical and cognitive sciences, overcoming limitations in traditional machine learning methods for capturing intricate semantic…

Artificial Intelligence · Computer Science 2025-10-09 Ali Sarabadani , Kheirolah Rahsepar Fard

A large number of complex systems find a natural abstraction in the form of weighted networks whose nodes represent the elements of the system and the weighted edges identify the presence of an interaction and its relative strength. In…

Physics and Society · Physics 2009-04-23 M. Angeles Serrano , Marian Boguna , Alessandro Vespignani

We tackle classification based on brain connectivity derived from diffusion magnetic resonance images. We propose a machine-learning model inspired by graph convolutional networks (GCNs), which takes a brain connectivity input graph and…

Neurons and Cognition · Quantitative Biology 2023-09-21 Anees Kazi , Jocelyn Mora , Bruce Fischl , Adrian V. Dalca , Iman Aganj

Testing the independence between random vectors is a fundamental problem in statistics. Distance correlation, a recently popular dependence measure, is universally consistent for testing independence against all distributions with finite…

Methodology · Statistics 2024-08-22 Yuwei Ke , Hok Kan Ling , Yanglei Song

Many questions in science center around the fundamental problem of understanding causal relationships. However, most constraint-based causal discovery algorithms, including the well-celebrated PC algorithm, often incur an exponential number…

Machine Learning · Computer Science 2024-06-05 Kirankumar Shiragur , Jiaqi Zhang , Caroline Uhler
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