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We apply Gaussian process (GP) regression, which provides a powerful non-parametric probabilistic method of relating inputs to outputs, to survival data consisting of time-to-event and covariate measurements. In this context, the covariates…

Statistics Theory · Mathematics 2014-09-08 James E. Barrett , Anthony C. C. Coolen

For many complex diseases, prognosis is of essential importance. It has been shown that, beyond the main effects of genetic (G) and environmental (E) risk factors, the gene-environment (G$\times$E) interactions also play a critical role. In…

Applications · Statistics 2015-05-15 Hao Chai , Qingzhao Zhang , Yu Jiang , Guohua Wang , Sanguo Zhang , Shuangge Ma

This paper proposes a robust Bayesian accelerated failure time model for censored survival data. We develop a new family of life-time distributions using a scale mixture of the generalized gamma distributions, where we propose a novel super…

Methodology · Statistics 2025-04-16 Yasuyuki Hamura , Takahiro Onizuka , Shintaro Hashimoto , Shonosuke Sugasawa

Time-to-event endpoints are frequently used as outcomes in oncology and other disease areas where the outcome of interest may not be observed within a predetermined period. Although many analytical methods address the challenges of…

Methodology · Statistics 2026-04-14 Chen-Yen Lin , Susan Halabi , Taehwa Choi

Bayesian variable selection is a powerful tool for data analysis, as it offers a principled method for variable selection that accounts for prior information and uncertainty. However, wider adoption of Bayesian variable selection has been…

Methodology · Statistics 2022-09-13 Martin Jankowiak

We develop a multivariate cure survival model to estimate lifetime patterns of colorectal cancer screening. Screening data cover long periods of time, with sparse observations for each person. Some events may occur before the study begins…

Methodology · Statistics 2015-09-16 Yolanda Hagar , Danielle Harvey , Laurel Beckett

Single-cell technologies provide an unprecedented opportunity for dissecting the interplay between the cancer cells and the associated tumor microenvironment, and the produced high-dimensional omics data should also augment existing…

Methodology · Statistics 2025-10-07 Zhi Zhao , Fatih Kızılaslan , Shixiong Wang , Manuela Zucknick

Gaussian processes (GP) are a widely used model for regression problems in supervised machine learning. Implementation of GP regression typically requires $O(n^3)$ logic gates. We show that the quantum linear systems algorithm [Harrow et…

Quantum Physics · Physics 2019-05-29 Zhikuan Zhao , Jack K. Fitzsimons , Joseph F. Fitzsimons

A new class of survival frailty models based on the Generalized Inverse-Gaussian (GIG) distributions is proposed. We show that the GIG frailty models are flexible and mathematically convenient like the popular gamma frailty model.…

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

Machine Learning · Computer Science 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

The emergence and development of cancer is a consequence of the accumulation over time of genomic mutations involving a specific set of genes, which provides the cancer clones with a functional selective advantage. In this work, we model…

Machine Learning · Computer Science 2017-03-10 Daniele Ramazzotti , Marco S. Nobile , Paolo Cazzaniga , Giancarlo Mauri , Marco Antoniotti

In this paper, a long-term survival model under competing risks is considered. The unobserved number of competing risks is assumed to follow a negative binomial distribution that can capture both over- and under-dispersion. Considering the…

Methodology · Statistics 2021-07-22 Suvra Pal

We propose a restricted win probability estimand for comparing treatments in a randomized trial with a time-to-event outcome. We also propose Bayesian estimators for this summary measure as well as the unrestricted win probability. Bayesian…

Methodology · Statistics 2024-11-06 Michelle Leeberg , Xianghua Luo , Thomas A. Murray

In many applied fields, such as genomics, different types of data are collected on the same system, and it is not uncommon that some of these datasets are subject to censoring as a result of the measurement technologies used, such as data…

Methodology · Statistics 2020-05-04 Luigi Augugliaro , Gianluca Sottile , Veronica Vinciotti

Multi-gene panel testing allows many cancer susceptibility genes to be tested quickly at a lower cost making such testing accessible to a broader population. Thus, more patients carrying pathogenic germline mutations in various…

Recently, there has been a resurgence of interest in rigorous algorithms for the inference of cancer progression from genomic data. The motivations are manifold: (i) growing NGS and single cell data from cancer patients, (ii) need for novel…

Machine Learning · Computer Science 2016-02-25 Daniele Ramazzotti

Choosing the most adequate kernel is crucial in many Machine Learning applications. Gaussian Process is a state-of-the-art technique for regression and classification that heavily relies on a kernel function. However, in the Gaussian…

Machine Learning · Computer Science 2019-10-15 Ibai Roman , Roberto Santana , Alexander Mendiburu , Jose A. Lozano

Gene selection plays a pivotal role in oncology research for improving outcome prediction accuracy and facilitating cost-effective genomic profiling for cancer patients. This paper introduces two gene selection strategies for deep…

Genomics · Quantitative Biology 2024-03-05 Akhila Krishna , Ravi Kant Gupta , Pranav Jeevan , Amit Sethi

Nonparametric and semiparametric methods are commonly used in survival analysis to mitigate the bias due to model misspecification. However, such methods often cannot estimate upper-tail survival quantiles when a sizable proportion of the…

Methodology · Statistics 2019-07-19 Yifan Wang , Tian You , Martin Lysy

Graphical lasso is one of the most used estimators for inferring genetic networks. Despite its diffusion, there are several fields in applied research where the limits of detection of modern measurement technologies make the use of this…

Methodology · Statistics 2019-11-18 Luigi Augugliaro , Antonino Abbruzzo , Veronica Vinciotti