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Important tasks in the study of genomic data include the identification of groups of similar cells (for example by clustering), and visualisation of data summaries (for example by dimensional reduction). In this paper, we develop a novel…

Methodology · Statistics 2024-10-15 Thomas E. Bartlett , Swati Chandna , Sandipan Roy

A precision matrix is the inverse of a covariance matrix. In this paper, we study the problem of estimating the precision matrix with a known graphical structure under high-dimensional settings. We propose a simple estimator of the…

Statistics Theory · Mathematics 2021-07-15 Thien-Minh Le , Ping-Shou Zhong

High-dimensional feature selection is a central problem in a variety of application domains such as machine learning, image analysis, and genomics. In this paper, we propose graph-based tests as a useful basis for feature selection. We…

Methodology · Statistics 2024-08-13 Swarnadip Ghosh , Somabha Mukherjee , Divyansh Agarwal , Yichen He , Mingzhi Song , Xuejiao Pei

CDR (Cross-Domain Recommendation), i.e., leveraging information from multiple domains, is a critical solution to data sparsity problem in recommendation system. The majority of previous research either focused on single-target CDR (STCDR)…

Information Retrieval · Computer Science 2024-11-27 Xiaopeng Liu , Juan Zhang , Chongqi Ren , Shenghui Xu , Zhaoming Pan , Zhimin Zhang

Multi-domain translation seeks to learn a probabilistic coupling between marginal distributions that reflects the correspondence between different domains. We assume that data from different domains are generated from a shared latent…

Machine Learning · Computer Science 2019-02-12 Karren D. Yang , Caroline Uhler

The diagnosis and prognosis of cancer are typically based on multi-modal clinical data, including histology images and genomic data, due to the complex pathogenesis and high heterogeneity. Despite the advancements in digital pathology and…

Quantitative Methods · Quantitative Biology 2024-04-15 Zeyu Zhang , Yuanshen Zhao , Jingxian Duan , Yaou Liu , Hairong Zheng , Dong Liang , Zhenyu Zhang , Zhi-Cheng Li

Doped clusters in the gas phase provide nanoconfined model systems for the study of system-bath interactions. To gain insight into interaction mechanisms between chromophores and their environment, the ensemble inhomogeneity has to be…

Chemical Physics · Physics 2022-06-14 Ulrich Bangert , Frank Stienkemeier , Lukas Bruder

We propose a novel approach for estimating the location of block boundaries (change-points) in a random matrix consisting of a block wise constant matrix observed in white noise. Our method consists in rephrasing this task as a variable…

Applications · Statistics 2016-03-14 Vincent Brault , Julien Chiquet , Céline Lévy-Leduc

In this study, we present a method of pattern mining based on network theory that enables the identification of protein structures or complexes from synthetic volume densities, without the knowledge of predefined templates or human biases…

Quantitative Methods · Quantitative Biology 2022-10-18 August George , Doo Nam Kim , Trevor Moser , Ian T. Gildea , James E. Evans , Margaret S. Cheung

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

Persistence diagrams have been widely used to quantify the underlying features of filtered topological spaces in data visualization. In many applications, computing distances between diagrams is essential; however, computing these distances…

Computational Geometry · Computer Science 2021-08-12 Yu Qin , Brittany Terese Fasy , Carola Wenk , Brian Summa

Multi-connected universe models with space identification scales smaller than the size of the observable universe produce topological images of cosmic sources. We generalise to locally hyperbolic spaces the crystallographic method, aimed to…

Astrophysics · Physics 2011-05-23 Jean-Philippe Uzan , Roland Lehoucq , Jean-Pierre Luminet

The cells and their spatial patterns in the tumor microenvironment (TME) play a key role in tumor evolution, and yet the latter remains an understudied topic in computational pathology. This study, to the best of our knowledge, is among the…

Quantitative Methods · Quantitative Biology 2021-09-21 Pingjun Chen , Muhammad Aminu , Siba El Hussein , Joseph D. Khoury , Jia Wu

A self-organizing approach is proposed for gene finding based on the model of codon usage for coding regions and positional preference for noncoding regions. The symmetry between the direct and reverse coding regions is adopted for reducing…

Biological Physics · Physics 2007-05-23 Fang Wu , Wei-Mou Zheng

Interactions between neighboring cells are essential for generating or refining patterns in a number of biological systems. We propose a discrete filtering approach to predict how networks of cells modulate spatially varying input signals…

Tissues and Organs · Quantitative Biology 2019-02-14 Melinda Liu Perkins , Murat Arcak

Data profiling has garnered increasing attention within the data science community, primarily focusing on structured data. In this paper, we introduce a novel framework called panacea, designed to profile known cancer target combinations in…

Computational Engineering, Finance, and Science · Computer Science 2024-10-16 Baihui Xu , Sourav S Bhowmick , Jiancheng Hu

The aim in many sciences is to understand the mechanisms that underlie the observed distribution of variables, starting from a set of initial hypotheses. Causal discovery allows us to infer mechanisms as sets of cause and effect…

Machine Learning · Computer Science 2025-03-05 Ashka Shah , Adela DePavia , Nathaniel Hudson , Ian Foster , Rick Stevens

In the study of high-dimensional data, it is often assumed that the data set possesses an underlying lower-dimensional structure. A practical model for this structure is an embedded compact manifold with boundary. Since the underlying…

Machine Learning · Statistics 2025-08-22 Pei-Cheng Kuo , Nan Wu

We consider multivariate two-sample tests of means, where the location shift between the two populations is expected to be related to a known graph structure. An important application of such tests is the detection of differentially…

Applications · Statistics 2012-07-02 Laurent Jacob , Pierre Neuvial , Sandrine Dudoit

In disease mapping, the aim is to estimate the spatial pattern in disease risk over an extended geographical region, so that areas with elevated risks can be identified. A Bayesian hierarchical approach is typically used to produce such…

Other Statistics · Statistics 2011-08-10 Duncan Lee , Richard Mitchell