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Modeling count data is important in physics and other scientific disciplines, where measurements often involve discrete, non-negative quantities such as photon or neutrino detection events. Traditional parametric approaches can be trained…

数据分析、统计与概率 · 物理学 2026-02-10 Anushka Saha , Abhijith Gandrakota , Alexandre V. Morozov

The association between a continuous and an ordinal variable is commonly modeled through the polyserial correlation model. However, this model, which is based on a partially-latent normality assumption, may be misspecified in practice, due…

统计方法学 · 统计学 2026-02-11 Max Welz

CLIP-seq methods are valuable techniques to experimentally determine transcriptome-wide binding sites of RNA-binding proteins. Despite the constant improvement of such techniques (e.g. eCLIP), the results are affected by various types of…

生物大分子 · 定量生物学 2024-12-31 Gianluca Corrado , Michael Uhl , Rolf Backofen , Andrea Passerini , Fabrizio Costa

To infer a multilayer representation of high-dimensional count vectors, we propose the Poisson gamma belief network (PGBN) that factorizes each of its layers into the product of a connection weight matrix and the nonnegative real hidden…

机器学习 · 统计学 2015-12-31 Mingyuan Zhou , Yulai Cong , Bo Chen

Generalized Linear Models (GLMs) have been used extensively in statistical models of spike train data. However, the maximum likelihood estimates of the model parameters and their uncertainty, can be challenging to compute in situations…

应用统计 · 统计学 2021-09-07 Sahand Farhoodi , Uri Eden

Estimation of generalized linear mixed models (GLMMs) with non-nested random effects structures requires approximation of high-dimensional integrals. Many existing methods are tailored to the low-dimensional integrals produced by nested…

统计计算 · 统计学 2014-04-01 Andrew T. Karl , Yan Yang , Sharon L. Lohr

Model selection is a cornerstone of statistical inference, where information criteria are widely employed to balance model fit and complexity. However, classical likelihood-based criteria are often highly sensitive to contamination,…

统计方法学 · 统计学 2026-03-26 Udita Goswami , Shuvashree Mondal

Maximum likelihood is a popular technique for isoform reconstruction. Here, we show that isoform reconstruction using short RNA-Seq reads by maximum likelihood is NP-hard.

定量方法 · 定量生物学 2013-05-07 Tianyang Li , Rui Jiang , Xuegong Zhang

Background: High-throughput techniques bring novel tools but also statistical challenges to genomic research. Identifying genes with differential expression between different species is an effective way to discover evolutionarily conserved…

统计方法学 · 统计学 2018-10-05 Yan Zhou , Jiadi Zhu , Tiejun Tong , Junhui Wang , Bingqing Lin , Jun Zhang

Generalized linear models (GLMs) are fundamental tools for statistical modeling, with maximum likelihood estimation (MLE) serving as the classical approach for parameter inference. While MLE performs well for canonical GLMs, it can become…

统计方法学 · 统计学 2026-03-03 Linglingzhi Zhu , Jonghyeok Lee , Yao Xie

This paper presents a novel method for statistical inference in high-dimensional binary models with unspecified structure, where we leverage a (potentially misspecified) sparsity-constrained working generalized linear model (GLM) to…

统计方法学 · 统计学 2025-10-03 Xiaotian Hou , Peng Wang , Minge Xie , Linjun Zhang

Robustness in complex systems is of significant engineering and economic importance. However, conventional attack-based a posteriori robustness assessments incur prohibitive computational overhead. Recently, deep learning methods, such as…

机器学习 · 计算机科学 2025-12-29 Chengyu Tian , Wenbin Pei

A multivariate mixed-effects model seems to be the most appropriate for gene expression data collected in a crossover trial. It is, however, difficult to obtain reliable results using standard statistical inference when some responses are…

统计方法学 · 统计学 2023-09-12 Savita Pareek , Kalyan Das , Siuli Mukhopadhyay

Detecting differences in gene expression is an important part of single-cell RNA sequencing experiments, and many statistical methods have been developed for this aim. Most differential expression analyses focus on comparing expression…

Genomic language models (gLMs) hold promise for generating novel, functional DNA sequences for synthetic biology. However, realizing this potential requires models to go beyond evolutionary plausibility and understand how DNA sequence…

定量方法 · 定量生物学 2025-08-27 Shiyu Jiang , Xuyin Liu , Zitong Jerry Wang

Safe deployment of large language models (LLMs) may benefit from a reliable method for assessing their generated content to determine when to abstain or to selectively generate. While likelihood-based metrics such as perplexity are widely…

计算与语言 · 计算机科学 2023-12-18 Jie Ren , Yao Zhao , Tu Vu , Peter J. Liu , Balaji Lakshminarayanan

Cluster analysis of biological samples using gene expression measurements is a common task which aids the discovery of heterogeneous biological sub-populations having distinct mRNA profiles. Several model-based clustering algorithms have…

统计方法学 · 统计学 2012-01-30 Alberto Cozzini , Ajay Jasra , Giovanni Montana

In most of the recent immunological literature the differences across antigen receptor populations are examined via non-parametric statistical measures of species overlap and diversity borrowed from ecological studies. While this approach…

生物大分子 · 定量生物学 2010-03-05 Grzegorz A. Rempala , Michal Seweryn , Leszek Ignatowicz

A fundamental problem in network data analysis is to test Erd\"{o}s-R\'{e}nyi model $\mathcal{G}\left(n,\frac{a+b}{2n}\right)$ versus a bisection stochastic block model $\mathcal{G}\left(n,\frac{a}{n},\frac{b}{n}\right)$, where $a,b>0$ are…

统计方法学 · 统计学 2018-11-26 Mingao Yuan , Yang Feng , Zuofeng Shang

Large Language Models (LLMs) offer a promising avenue for scientific discovery, yet their application to symbolic regression is often constrained by inefficient search strategies and coarse feedback signals. Current methods typically guide…