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We examine the influence of input data representations on learning complexity. For learning, we posit that each model implicitly uses a candidate model distribution for unexplained variations in the data, its noise model. If the model…

Machine Learning · Computer Science 2019-12-21 Julian Zilly , Lorenz Hetzel , Andrea Censi , Emilio Frazzoli

Evolutionary events such as incomplete lineage sorting and lateral gene transfer constitute major problems for inferring species trees from gene trees, as they can sometimes lead to gene trees which conflict with the underlying species…

Populations and Evolution · Quantitative Biology 2013-04-23 Andreas Sand , Mike Steel

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 problem of selecting the most useful features from a great many (eg, thousands) of candidates arises in many areas of modern sciences. An interesting problem from genomic research is that, from thousands of genes that are active…

Applications · Statistics 2018-05-15 Longhai Li , Weixin Yao

The log-transform is a common tool in statistical analysis, reducing the impact of extreme values, compressing the range of reported values for improved visualization, enabling the usage of parametric statistical tests requiring normally…

Methodology · Statistics 2023-02-10 Ben Cardoen , Hanene Ben Yedder , Sieun Lee , Ivan Robert Nabi , Ghassan Hamarneh

Lateral gene transfer (LGT) is a common mechanism of non-vertical evolution where genetic material is transferred between two more or less distantly related organisms. It is particularly common in bacteria where it contributes to adaptive…

Probability · Mathematics 2012-06-18 Sebastien Roch , Sagi Snir

Logical reasoning is essential for large language models (LLMs) to ensure accurate and coherent inference. However, LLMs struggle with reasoning order variations and fail to generalize across logically equivalent transformations. LLMs often…

Computation and Language · Computer Science 2025-11-11 Qianxi He , Qianyu He , Jiaqing Liang , Yanghua Xiao , Weikang Zhou , Zeye Sun , Fei Yu

The research community continues to seek increasingly more advanced synthetic data generators to reliably evaluate the strengths and limitations of machine learning methods. This work aims to increase the availability of datasets…

Machine Learning · Computer Science 2026-01-30 Joanna Komorniczak

Linear discriminant analysis is a widely used method for classification. However, the high dimensionality of predictors combined with small sample sizes often results in large classification errors. To address this challenge, it is crucial…

Machine Learning · Statistics 2025-01-09 Hongzhe Zhang , Arnab Auddy , Hongzhe Lee

In microbiome studies, one of the ways of studying bacterial abundances is to estimate bacterial composition based on the sequencing read counts. Various transformations are then applied to such compositional data for downstream statistical…

Methodology · Statistics 2021-06-17 Yezheng Li , Hongzhe Li , Yuanpei Cao

We propose a modification of linear discriminant analysis, referred to as compressive regularized discriminant analysis (CRDA), for analysis of high-dimensional datasets. CRDA is specially designed for feature elimination purpose and can be…

Methodology · Statistics 2018-04-12 Muhammad Naveed Tabassum , Esa Ollila

What proportion of treated units actually benefited from an experimental intervention? What is the median or the largest individual treatment effect? This paper develops methods for answering such questions about the distribution of…

Methodology · Statistics 2026-05-11 David Kim , Yongchang Su , Jake Bowers , Xinran Li

As synthetic data becomes widely used in language model development, understanding its impact on model behavior is crucial. This paper investigates the impact of the diversity of sources of synthetic data on fine-tuned large language…

Computation and Language · Computer Science 2026-04-29 Max Schaffelder , Albert Gatt

Reasoning in large language models has long been a central research focus, and recent studies employing reinforcement learning (RL) have introduced diverse methods that yield substantial performance gains with minimal or even no external…

Understanding the linear or nonlinear relationship between load and deformation in structural materials or structural frames is a key to a proper and a well-represented simulation. This research is dedicated to model a cyclic…

Computational Engineering, Finance, and Science · Computer Science 2020-09-29 Mirsalar Kamari , Oguz Gunes

A general class of stochastic gene expression models with self regulation is considered. One or more genes randomly switch between regulatory states, each having a different mRNA transcription rate. The gene or genes are self regulating…

Molecular Networks · Quantitative Biology 2014-12-30 Jay Newby

The evolutionary origins of structural features in reconstructed gene-regulatory networks (GRNs) remain poorly understood, especially given the random aspects of gene expression. Here, we extend a classical model of GRN evolution to allow a…

Populations and Evolution · Quantitative Biology 2026-04-30 Leonardo Ivan Estrella Dzib , James Holehouse

This paper is motivated by the comparison of genetic networks based on microarray samples. The aim is to test whether the differences observed between two inferred Gaussian graphical models come from real differences or arise from…

Statistics Theory · Mathematics 2014-06-20 Camille Charbonnier , Nicolas Verzelen , Fanny Villers

Evolutionary deep intelligence has recently shown great promise for producing small, powerful deep neural network models via the organic synthesis of increasingly efficient architectures over successive generations. Existing evolutionary…

Computer Vision and Pattern Recognition · Computer Science 2018-11-21 Audrey Chung , Paul Fieguth , Alexander Wong

Motivation: DNA methylation is an intensely studied epigenetic mark, yet its functional role is incompletely understood. Attempts to quantitatively associate average DNA methylation to gene expression yield poor correlations outside of the…

Genomics · Quantitative Biology 2016-11-17 Chantriolnt-Andreas Kapourani , Guido Sanguinetti
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