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Inferring concerted changes among biological traits along an evolutionary history remains an important yet challenging problem. Besides adjusting for spurious correlation induced from the shared history, the task also requires sufficient…

This research integrates deep learning, copula functions, and survival analysis to effectively handle highly correlated and right-censored multivariate survival data. It introduces copula-based activation functions (Clayton, Gumbel, and…

机器学习 · 统计学 2025-07-22 Jong-Min Kim , Il Do Ha , Sangjin Kim

This paper introduces a nonparametric copula-based index for detecting the strength and monotonicity structure of linear and nonlinear statistical dependence between pairs of random variables or stochastic signals. Our index, termed Copula…

机器学习 · 统计学 2020-02-25 Kiran Karra , Lamine Mili

Reconciling gene trees with a species tree is a fundamental problem to understand the evolution of gene families. Many existing approaches reconcile each gene tree independently. However, it is well-known that the evolution of gene families…

种群与进化 · 定量生物学 2018-06-12 Riccardo Dondi , Manuel Lafond , Celine Scornavacca

We propose a copula based method to handle missing values in multivariate data of mixed types in multilevel data sets. Building upon the extended rank likelihood of \cite{hoff2007extending} and the multinomial probit model, our model is a…

统计方法学 · 统计学 2017-02-28 Jiali Wang , Bronwyn Loong , Anton H. Westveld , Alan H. Welsh

Despite a variety of theoretical-sound techniques have been proposed for biometric template protection, there is rarely practical solution that guarantees non-invertibility, cancellability, non-linkability and performance simultaneously. In…

计算机视觉与模式识别 · 计算机科学 2016-07-26 Zhe Jin , Yen-Lung Lai , Andrew Beng Jin Teoh

Background Survival extrapolation is essential in the cost-effectiveness analysis to quantify the lifetime survival benefit associated with a new intervention, due to the restricted duration of randomized controlled trials (RCTs). Current…

统计方法学 · 统计学 2022-06-02 Zhaojing Che , Nathan Green , Gianluca Baio

Diagnostic test accuracy studies typically report the number of true positives, false positives, true negatives and false negatives. There usually exists a negative association between the number of true positives and true negatives,…

统计方法学 · 统计学 2015-11-06 Aristidis K. Nikoloulopoulos

Survival analysis is widely deployed in a diverse set of fields, including healthcare, business, ecology, etc. The Cox Proportional Hazard (CoxPH) model is a semi-parametric model often encountered in the literature. Despite its popularity,…

机器学习 · 计算机科学 2025-05-29 Chengzhi Shi , Stratis Ioannidis

We consider the chance-constrained program (CCP) with random right-hand side under a finite discrete distribution. It is known that the standard mixed integer linear programming (MILP) reformulation of the CCP is generally difficult to…

最优化与控制 · 数学 2026-01-28 Wei Lv , Wei-Kun Chen , Yu-Hong Dai , Xiao-Jiao Tong

We propose a model for unbalanced longitudinal data, where the univariate margins can be selected arbitrarily and the dependence structure is described with the help of a D-vine copula. We show that our approach is an extremely flexible…

统计方法学 · 统计学 2017-05-18 Matthias Killiches , Claudia Czado

The results of information retrieval (IR) are usually presented in the form of a ranked list of candidate documents, such as web search for humans and retrieval-augmented generation for large language models (LLMs). List-aware retrieval…

信息检索 · 计算机科学 2024-02-06 Shicheng Xu , Liang Pang , Jun Xu , Huawei Shen , Xueqi Cheng

Key to effective generic, or "black-box", variational inference is the selection of an approximation to the target density that balances accuracy and speed. Copula models are promising options, but calibration of the approximation can be…

统计方法学 · 统计学 2022-07-01 Michael Stanley Smith , Rubén Loaiza-Maya

In human microbiome studies, sequencing reads data are often summarized as counts of bacterial taxa at various taxonomic levels specified by a taxonomic tree. This paper considers the problem of analyzing two repeated measurements of…

应用统计 · 统计学 2017-02-17 Pixu Shi , Hongzhe Li

In this article, we develop nonparametric inference methods for comparing survival data across two samples, which are beneficial for clinical trials of novel cancer therapies where long-term survival is a critical outcome. These therapies,…

统计方法学 · 统计学 2024-09-05 Yi-Cheng Tai , Weijing Wang , Martin T. Wells

Classical statistical learning theory predicts a U-shaped relationship between test loss and model capacity, driven by the bias-variance trade-off. Recent advances in modern machine learning have revealed a more complex pattern,…

机器学习 · 统计学 2026-04-23 Yin Liu , Jianwen Cai , Didong Li

There are growing concerns for reserves estimation of incurred but not reported (IBNR) claims in actuarial sciences. In this paper, we propose a copula-based dependency model to capture the relationship between two main IBNR reserve…

In survival analysis it often happens that some subjects under study do not experience the event of interest; they are considered to be `cured'. The population is thus a mixture of two subpopulations: the one of cured subjects, and the one…

统计理论 · 数学 2017-01-16 Valentin Patilea , Ingrid Van Keilegom

Background: Significance analysis plays a major role in identifying and ranking genes, transcription factor binding sites, DNA methylation regions, and other high-throughput features for association with disease. We propose a new approach,…

统计方法学 · 统计学 2017-01-10 Andrew E. Jaffe , John D. Storey , Hongkai Ji , Jeffrey T. Leek

The biological roles of gene sets are used to group them into collections. These collections are often characterized by being high-dimensional, overlapping, and redundant families of sets, thus precluding a straightforward interpretation…

定量方法 · 定量生物学 2023-08-01 Chiara Balestra , Carlo Maj , Emmanuel Müller , Andreas Mayr