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Ordinal measurements are common outcomes in studies within psychology, as well as in the social and behavioral sciences. Choosing an appropriate regression model for analysing such data poses a difficult task. This paper aims to facilitate…

统计方法学 · 统计学 2026-03-03 Stefan Inerle , Markus Pauly , Moritz Berger

This paper introduces the OPIAID algorithm, a novel approach for predicting and recommending personalized opioid dosages for individual patients. The algorithm optimizes pain management while minimizing opioid related adverse events (ORADE)…

This paper introduces an Ordinary Differential Equation (ODE) notion for survival analysis. The ODE notion not only provides a unified modeling framework, but more importantly, also enables the development of a widely applicable, scalable,…

统计方法学 · 统计学 2021-12-07 Weijing Tang , Kevin He , Gongjun Xu , Ji Zhu

Clinical decision making is challenging because of pathological complexity, as well as large amounts of heterogeneous data generated as part of routine clinical care. In recent years, machine learning tools have been developed to aid this…

The impact of machine learning models on healthcare will depend on the degree of trust that healthcare professionals place in the predictions made by these models. In this paper, we present a method to provide people with clinical expertise…

机器学习 · 计算机科学 2021-03-05 Aniruddh Raghu , John Guttag , Katherine Young , Eugene Pomerantsev , Adrian V. Dalca , Collin M. Stultz

Background: Clinical prediction models for a health condition are commonly evaluated regarding performance for a population, although decisions are made for individuals. The classic view relates uncertainty in risk estimates for individuals…

By interpreting the forward dynamics of the latent representation of neural networks as an ordinary differential equation, Neural Ordinary Differential Equation (Neural ODE) emerged as an effective framework for modeling a system dynamics…

机器学习 · 计算机科学 2020-10-19 Daehoon Gwak , Gyuhyeon Sim , Michael Poli , Stefano Massaroli , Jaegul Choo , Edward Choi

Covariate adjustment is a ubiquitous method used to estimate the average treatment effect (ATE) from observational data. Assuming a known graphical structure of the data generating model, recent results give graphical criteria for optimal…

One of the most significant challenges in combating against the spread of infectious diseases was the difficulty in estimating the true magnitude of infections. Unreported infections could drive up disease spread, making it very hard to…

社会与信息网络 · 计算机科学 2025-02-04 Jiaming Cui , Bijaya Adhikari , Arash Haddadan , A S M Ahsan-Ul Haque , Jilles Vreeken , Anil Vullikanti , B. Aditya Prakash

Infectious diseases pose significant human and economic burdens. Accurately forecasting disease incidence can enable public health agencies to respond effectively to existing or emerging diseases. Despite progress in the field, developing…

机器学习 · 计算机科学 2024-09-04 Michael Morris

Infectious disease outbreaks recapitulate biology: they emerge from the multi-level interaction of hosts, pathogens, and their shared environment. As a result, predicting when, where, and how far diseases will spread requires a complex…

物理与社会 · 物理学 2018-10-11 Samuel V. Scarpino , Giovanni Petri

Parameter inference in ordinary differential equations is an important problem in many applied sciences and in engineering, especially in a data-scarce setting. In this work, we introduce a novel generative modeling approach based on…

机器学习 · 计算机科学 2019-12-06 Philippe Wenk , Gabriele Abbati , Michael A Osborne , Bernhard Schölkopf , Andreas Krause , Stefan Bauer

We consider compartmental models in epidemiology. For the study of the divergence of the stochastic model from its corresponding deterministic limit (i.e., the solution of an ODE) for long time horizon, a large deviations principle suggests…

概率论 · 数学 2015-01-16 Peter Kratz , Etienne Pardoux , Brice Samegni Kepgnou

In healthcare, patient risk stratification models are often learned using time-series data extracted from electronic health records. When extracting data for a clinical prediction task, several formulations exist, depending on how one…

机器学习 · 计算机科学 2018-12-03 Eli Sherman , Hitinder Gurm , Ulysses Balis , Scott Owens , Jenna Wiens

An approach is introduced for comparing the estimated states of stochastic compartmental models for an epidemic or biological process with analytically obtained solutions from the corresponding system of ordinary differential equations…

种群与进化 · 定量生物学 2023-06-30 Alison C Hale , Christopher P Jewell

This paper addresses patient heterogeneity associated with prediction problems in biomedical applications. We propose a systematic hypothesis testing approach to determine the existence of patient subgroup structure and the number of…

统计方法学 · 统计学 2021-01-08 Xu Gao , Weining Shen , Jing Ning , Ziding Feng , Jianhua Hu

Much traditional statistical modelling assumes that the outcome variables of interest are independent of each other when conditioned on the explanatory variables. This assumption is strongly violated in the case of infectious diseases,…

种群与进化 · 定量生物学 2019-11-28 Timothy Kinyanjui , Thomas House

Our paper investigates distributions of exposed and infectious time periods in an epidemic model and how applying a disease control strategy affects the model's accuracy. While ordinary differential equations are widely used for their…

种群与进化 · 定量生物学 2018-09-28 Adrienna Bingham , Leah B. Shaw

Accurate prediction of outcomes is crucial for clinical decision-making and personalized patient care. Supervised machine learning algorithms, which are commonly used for outcome prediction in the medical domain, optimize for predictive…

机器学习 · 计算机科学 2026-02-09 Nithya Bhasker , Fiona R. Kolbinger , Susu Hu , Gitta Kutyniok , Stefanie Speidel

Ordinal outcomes are common in clinical settings where they often represent increasing levels of disease progression or different levels of functional impairment. Such outcomes can characterize differences in meaningful patient health…

统计方法学 · 统计学 2025-08-29 Zhiqiang Cao , Scott Zuo , Mary Ryan Baumann , Kendra Plourde , Patrick Heagerty , Guangyu Tong , Fan Li