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Dynamic systems described by differential equations often involve feedback among system components. When there are time delays for components to sense and respond to feedback, delay differential equation (DDE) models are commonly used. This…

统计方法学 · 统计学 2024-06-24 Yuxuan Zhao , Samuel W. K. Wong

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

机器学习 · 统计学 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

A stationary Gaussian process is said to be long-range dependent (resp., anti-persistent) if its spectral density $f(\lambda)$ can be written as $f(\lambda)=|\lambda|^{-2d}g(|\lambda|)$, where $0<d<1/2$ (resp., $-1/2<d<0$), and $g$ is…

统计方法学 · 统计学 2012-07-24 Judith Rousseau , Nicolas Chopin , Brunero Liseo

In this study, we used a dataset of approximately 96,000 reported dengue cases from 2015 to 2024 in Recife, the capital of northeastern Brazil, all geocoded by neighborhood. The dataset was enriched with sociodemographic data from the…

其他定量生物学 · 定量生物学 2025-07-17 Marcílio Ferreira dos Santos , Andreza dos Santos Rodrigues de Melo

The incidence of Dengue epidemiologic disease has grown in recent decades. In this paper an application of optimal control in Dengue epidemics is presented. The mathematical model includes the dynamic of Dengue mosquito, the affected…

最优化与控制 · 数学 2010-09-03 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

1. Understanding the mechanisms underlying biological systems, and ultimately, predicting their behaviours in a changing environment requires overcoming the gap between mathematical models and experimental or observational data.…

定量方法 · 定量生物学 2017-04-19 Philipp H Boersch-Supan , Sadie J Ryan , Leah R Johnson

Dengue fever impacts populations across the tropics. Dengue is caused by a mosquito transmitted flavivirus and its burden is projected to increase under future climate and development scenarios. The transmission process of dengue virus is…

We investigate how key epidemiological parameters shape both seasonal epidemics and the persistence of dengue transmission. Our findings confirm known mechanistic drivers of epidemic variability and introduce a ranking of parameter…

种群与进化 · 定量生物学 2026-05-22 Cesar Alberto Rosales-Alcantar , Marcos A. Capistrán

Our method extends the application of random spanning trees to cases where the response variable belongs to the exponential family, making it suitable for a wide range of real-world scenarios, including non-Gaussian likelihoods. The…

统计方法学 · 统计学 2024-07-18 Ruiman Zhong , Erick A. Chacón-Montalván , Paula Moraga

There is significant interest in learning and optimizing a complex system composed of multiple sub-components, where these components may be agents or autonomous sensors. Among the rich literature on this topic, agent-based and…

机器学习 · 计算机科学 2021-07-08 Kai Wang , Bryan Wilder , Sze-chuan Suen , Bistra Dilkina , Milind Tambe

We develop a semiparametric Bayesian approach for estimating the mean response in a missing data model with binary outcomes and a nonparametrically modelled propensity score. Equivalently we estimate the causal effect of a treatment,…

统计理论 · 数学 2020-09-23 Kolyan Ray , Aad van der Vaart

A set of probabilities along with corresponding quantiles are often used to define predictive distributions or probabilistic forecasts. These quantile predictions offer easily interpreted uncertainty of an event, and quantiles are generally…

统计方法学 · 统计学 2025-10-10 Spencer Wadsworth , Jarad Niemi

With emerging prevalence beyond traditionally endemic regions, the global burden of dengue disease is forecasted to be one of the fastest growing. With limited direct treatment or vaccination currently available, prevention through vector…

其他定量生物学 · 定量生物学 2024-07-02 Zi Iun Lai , Wai Kit Fung , Enquan Chew

Aedes aegypti is a known vector of Dengue, Chikungunya and Zika and the goal of this study is to propose the first mathematical model to describe the dynamic transmission of these three diseases. We present two preliminary models that…

种群与进化 · 定量生物学 2016-06-28 Raul Isea , Karl E Lonngren

Gaussian processes allow for flexible specification of prior assumptions of unknown dynamics in state space models. We present a procedure for efficient Bayesian learning in Gaussian process state space models, where the representation is…

统计计算 · 统计学 2016-04-18 Andreas Svensson , Arno Solin , Simo Särkkä , Thomas B. Schön

One major impediment to the wider use of deep learning for clinical decision making is the difficulty of assigning a level of confidence to model predictions. Currently, deep Bayesian neural networks and sparse Gaussian processes are the…

Remote sensors are becoming the standard for observing and recording ecological data in the field. Such sensors can record data at fine temporal resolutions, and they can operate under extreme conditions prohibitive to human access.…

人工智能 · 计算机科学 2012-06-26 Ethan W. Dereszynski , Thomas G. Dietterich

We consider a prior for nonparametric Bayesian estimation which uses finite random series with a random number of terms. The prior is constructed through distributions on the number of basis functions and the associated coefficients. We…

统计理论 · 数学 2015-02-10 Weining Shen , Subhashis Ghosal

In high-dimensional Bayesian statistics, various methods have been developed, including prior distributions that induce parameter sparsity to handle many parameters. Yet, these approaches often overlook the rich spectral structure of the…

统计理论 · 数学 2025-05-06 Tomoya Wakayama , Masaaki Imaizumi

Controlling the surrounding world and predicting future events has always seemed like a dream, but that could become a reality using a Brain-Computer/Machine Interface (BCI/BMI). Epilepsy is a group of neurological diseases characterized by…

信号处理 · 电气工程与系统科学 2019-06-10 Zaghloul Saad Zaghloul , Magdy Bayoumi