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Inferring dependence structure through undirected graphs is crucial for uncovering the major modes of multivariate interaction among high-dimensional genomic markers that are potentially associated with cancer. Traditionally, conditional…

Methodology · Statistics 2016-04-04 Anindya Bhadra , Arvind Rao , Veerabhadran Baladandayuthapani

Analysis of multi-source dataset, where data on the same objects are collected from multiple sources, is of rising importance in many fields, most notably in multi-omics biology. A novel framework and algorithms for integrative…

Methodology · Statistics 2023-03-16 SeoWon Gabriel Choi , Sungkyu Jung

We consider the problem of clustering grouped data for which the observations may include group-specific variables in addition to the variables that are shared across groups. This type of data is common in cancer genomics where the…

Methodology · Statistics 2025-09-30 Arhit Chakrabarti , Yang Ni , Debdeep Pati , Bani K. Mallick

Integrative learning of multiple datasets has the potential to mitigate the challenge of small $n$ and large $p$ that is often encountered in analysis of big biomedical data such as genomics data. Detection of weak yet important signals can…

Methodology · Statistics 2022-07-04 Changgee Chang , Zongyu Dai , Jihwan Oh , Qi Long

Revealing the clonal composition of a single tumor is essential for identifying cell subpopulations with metastatic potential in primary tumors or with resistance to therapies in metastatic tumors. Sequencing technologies provide an…

Genomics · Quantitative Biology 2014-02-07 Francesco Strino , Fabio Parisi , Mariann Micsinai , Yuval Kluger

Motivation. Cancer heterogeneity is observed at multiple biological levels. To improve our understanding of these differences and their relevance in medicine, approaches to link organ- and tissue-level information from diagnostic images and…

Quantitative Methods · Quantitative Biology 2020-05-19 Nova F. Smedley , Suzie El-Saden , William Hsu

In computational biology, gene expression datasets are characterized by very few individual samples compared to a large number of measurements per sample. Thus, it is appealing to merge these datasets in order to increase the number of…

Methodology · Statistics 2011-08-18 Meili Baragatti

In several practical applications, particularly healthcare, clinical data of each patient is individually recorded in a database at irregular intervals as required. This causes a sparse and irregularly sampled time series, which makes it…

Machine Learning · Computer Science 2025-04-09 Mincheol Kim , Soo-Yong Shin

One challenge with the analysis of complex systems and the interaction between such systems is that they are composed of different numbers of components, or simply the fact that a different number of observables is available for each…

Data Analysis, Statistics and Probability · Physics 2025-12-22 Sebastian Wallot , Dan Mønster

We address the problem of unsupervised disentanglement of discrete and continuous explanatory factors of data. We first show a simple procedure for minimizing the total correlation of the continuous latent variables without having to use a…

Machine Learning · Computer Science 2019-05-24 Yeonwoo Jeong , Hyun Oh Song

Variational inference is computationally challenging in models that contain both conjugate and non-conjugate terms. Methods specifically designed for conjugate models, even though computationally efficient, find it difficult to deal with…

Machine Learning · Computer Science 2017-04-14 Mohammad Emtiyaz Khan , Wu Lin

Detecting and analyzing complex patterns in multivariate time-series data is crucial for decision-making in urban and environmental system operations. However, challenges arise from the high dimensionality, intricate complexity, and…

Machine Learning · Computer Science 2024-12-25 Haowen Xu , Ali Boyaci , Jianming Lian , Aaron Wilson

This paper studies large-scale dynamical networks where the current state of the system is a linear transformation of the previous state, contaminated by a multivariate Gaussian noise. Examples include stock markets, human brains and gene…

Computation · Statistics 2015-06-23 Yiyuan She , Yuejia He , Shijie Li , Dapeng Wu

Multivariate time-dependent data, where multiple features are observed over time for a set of individuals, are increasingly widespread in many application domains. To model these data we need to account for relations among both time…

Methodology · Statistics 2021-04-08 Alessandro Casa , Charles Bouveyron , Elena Erosheva , Giovanna Menardi

Evidence syntheses and meta-analyses are used to inform clinical practice guidelines and health economic evaluations. However, heterogeneity of treatment effects poses a significant challenge. Conventional meta-analysis addresses…

The use of diverse modalities, such as omics, medical images, and clinical data can not only improve the performance of prognostic models but also deepen an understanding of disease mechanisms and facilitate the development of novel…

Image and Video Processing · Electrical Eng. & Systems 2025-08-14 Maria Boyko , Aleksandra Beliaeva , Dmitriy Kornilov , Alexander Bernstein , Maxim Sharaev

Modern cancer genomics datasets involve widely varying sizes and scales, measurement variables, and correlation structures. A fundamental analytical goal in these high-throughput studies is the development of general statistical techniques…

Methodology · Statistics 2022-04-12 Chiyu Gu , Veerabhadran Baladandayuthapani , Subharup Guha

We introduce a statistical procedure that integrates survival data from multiple biomedical studies, to improve the accuracy of predictions of survival or other events, based on individual clinical and genomic profiles, compared to models…

Applications · Statistics 2020-07-20 Steffen Ventz , Rahul Mazumder , Lorenzo Trippa

A ubiquitous feature of data of our era is their extra-large sizes and dimensions. Analyzing such high-dimensional data poses significant challenges, since the feature dimension is often much larger than the sample size. This thesis…

Statistics Theory · Mathematics 2025-09-11 Kai Yang

We consider a method to jointly estimate sparse precision matrices and their underlying graph structures using dependent high-dimensional datasets. We present a penalized maximum likelihood estimator which encourages both sparsity and…

Applications · Statistics 2016-08-22 Adria Caballe , Natalia Bochkina , Claus Mayer