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We study subset selection for matrices defined as follows: given a matrix $\matX \in \R^{n \times m}$ ($m > n$) and an oversampling parameter $k$ ($n \le k \le m$), select a subset of $k$ columns from $\matX$ such that the pseudo-inverse of…

Data Structures and Algorithms · Computer Science 2013-06-25 Haim Avron , Christos Boutsidis

Feature selection is an important task in many problems occurring in pattern recognition, bioinformatics, machine learning and data mining applications. The feature selection approach enables us to reduce the computation burden and the…

Machine Learning · Computer Science 2016-08-30 Hadi Zare , Mojtaba Niazi

We propose a model for evolution aiming to reproduce statistical features of fossil data, in particular the distributions of extinction events, the distribution of species per genus and the distribution of lifetimes, all of which are known…

Populations and Evolution · Quantitative Biology 2008-06-06 Peter Klimek , Stefan Thurner , Rudolf Hanel

We study the effectiveness of subagging, or subsample aggregating, on regression trees, a popular non-parametric method in machine learning. First, we give sufficient conditions for pointwise consistency of trees. We formalize that (i) the…

Machine Learning · Statistics 2024-04-03 Christos Revelas , Otilia Boldea , Bas J. M. Werker

Phylogenetics is now fundamental in life sciences, providing insights into the earliest branches of life and the origins and spread of epidemics. However, finding suitable phylogenies from the vast space of possible trees remains…

Populations and Evolution · Quantitative Biology 2024-01-24 Matthew J Penn , Neil Scheidwasser , Joseph Penn , Christl A Donnelly , David A Duchêne , Samir Bhatt

Species tree estimation is a complex problem, due to the fact that different parts of the genome can have different evolutionary histories than the genome itself. One of the causes for this discord is incomplete lineage sorting (also called…

Populations and Evolution · Quantitative Biology 2019-04-09 Erin Molloy , Tandy Warnow

Increasingly, biologists are constructing evolutionary trees on large numbers of overlapping sets of taxa, and then combining them into a `supertree' that classifies all the taxa. In this paper, we ask how much coverage of the total set of…

Populations and Evolution · Quantitative Biology 2009-06-29 Mike Steel , Michael J. Sanderson

Classification in the dissimilarity space has become a very active research area since it provides a possibility to learn from data given in the form of pairwise non-metric dissimilarities, which otherwise would be difficult to cope with.…

We extend classical results on simple varieties of trees (asymptotic enumeration, average behavior of tree parameters) to trees counted by their number of leaves. Motivated by genome comparison of related species, we then apply these…

Combinatorics · Mathematics 2016-10-03 Mathilde Bouvel , Marni Mishna , Cyril Nicaud

In microarray experiments, it is often of interest to identify genes which have a pre-specified gene expression profile with respect to time. Methods available in the literature are, however, typically not stringent enough in identifying…

Applications · Statistics 2009-01-18 J. Tuke , G. F. V. Glonek , P. J. Solomon

The statistical properties of local alignment algorithms with gaps are analyzed theoretically for uncorrelated and correlated DNA sequences. In the vicinity of the log-linear phase transition, the statistics of alignment with gaps is shown…

Statistical Mechanics · Physics 2007-05-23 Terence Hwa , Michael Lassig

Plant breeding and variety trials are usually conducted in multiple environments sampled from a defined target population of environments in order to characterize the performance of breeding lines or varieties. When the population is large…

Applications · Statistics 2026-05-01 Maryna Prus , Lenka Filová , Hans-Peter Piepho , Waqas Ahmed Malik

High throughput technologies have become the practice of choice for comparative studies in biomedical applications. Limited number of sample points due to sequencing cost or access to organisms of interest necessitates the development of…

Methodology · Statistics 2018-07-17 Ariana Broumand , Siamak Zamani Dadaneh

In today world of enormous amounts of data, it is very important to extract useful knowledge from it. This can be accomplished by feature subset selection. Feature subset selection is a method of selecting a minimum number of features with…

Machine Learning · Computer Science 2019-07-16 Agnip Dasgupta , Ardhendu Banerjee , Aniket Ghosh Dastidar , Antara Barman , Sanjay Chakraborty

All networks can be analyzed at multiple scales. A higher scale of a network is made up of macro-nodes: subgraphs that have been grouped into individual nodes. Recasting a network at higher scales can have useful effects, such as decreasing…

Social and Information Networks · Computer Science 2022-02-18 Ross Griebenow , Brennan Klein , Erik Hoel

We consider resequencing studies of associated loci and the problem of prioritizing sequence variants for functional follow-up. Working within the multivariate linear regression framework helps us to account for correlation across variants,…

Methodology · Statistics 2016-04-06 Laurel Stell , Chiara Sabatti

A variety of methods have been proposed for interpreting nodes in deep neural networks, which typically involve scoring nodes at lower layers with respect to their effects on the output of higher-layer nodes (where lower and higher layers…

Machine Learning · Computer Science 2018-12-04 Jonathan Warrell , Hussein Mohsen , Mark Gerstein

The collection of a high number of pixel-based labeled training samples for tree species identification is time consuming and costly in operational forestry applications. To address this problem, in this paper we investigate the…

Computer Vision and Pattern Recognition · Computer Science 2022-01-20 Steve Ahlswede , Nimisha Thekke-Madam , Christian Schulz , Birgit Kleinschmit , Begüm Demir

Learning with shared representation is widely recognized as an effective way to separate commonalities from heterogeneity across various heterogeneous sources. Most existing work includes all related data sources via simultaneously training…

Machine Learning · Computer Science 2026-03-10 Leo Muxing Wang , Connor Mclaughlin , Lili Su

Nowadays, feature selection is frequently used in machine learning when there is a risk of performance degradation due to overfitting or when computational resources are limited. During the feature selection process, the subset of features…

Machine Learning · Computer Science 2023-01-02 Sergey A. Saltykov