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Frequentist and Bayesian methods differ in many aspects, but share some basic optimal properties. In real-life classification and regression problems, situations exist in which a model based on one of the methods is preferable based on some…

统计方法学 · 统计学 2023-08-29 Tanujit Chakraborty , Gauri Kamat , Ashis Kumar Chakraborty

Machine learning and deep learning play vital roles in predicting diseases in the medical field. Machine learning algorithms are widely classified as supervised, unsupervised, and reinforcement learning. This paper contains a detailed…

机器学习 · 计算机科学 2023-01-27 D. Kamelesun , R. Saranya , P. Kathiravan

Estimating hidden processes from non-linear noisy observations is particularly difficult when the parameters of these processes are not known. This paper adopts a machine learning approach to devise variational Bayesian inference for such…

机器学习 · 计算机科学 2019-11-05 Komlan Atitey , Pavel Loskot , Lyudmila Mihaylova

Bayesian non-parametric methods based on Dirichlet process mixtures have seen tremendous success in various domains and are appealing in being able to borrow information by clustering samples that share identical parameters. However, such…

统计方法学 · 统计学 2022-07-04 Suprateek Kundu , Joshua Lukemire

The analysis of data from multiple experiments, such as observations of several individuals, is commonly approached using mixed-effects models, which account for variation between individuals through hierarchical representations. This makes…

统计计算 · 统计学 2026-03-05 Henrik Häggström , Sebastian Persson , Marija Cvijovic , Umberto Picchini

The reduced-rank vector autoregressive (VAR) model can be interpreted as a supervised factor model, where two factor modelings are simultaneously applied to response and predictor spaces. This article introduces a new model, called vector…

统计方法学 · 统计学 2023-06-16 Di Wang , Xiaoyu Zhang , Guodong Li , Ruey Tsay

We develop a semiparametric framework for inference on the mean response in missing-data settings using a corrected posterior distribution. Our approach is tailored to Bayesian Additive Regression Trees (BART), which is a powerful…

统计方法学 · 统计学 2025-10-21 Christoph Breunig , Ruixuan Liu , Zhengfei Yu

This paper proposes a new Bayesian machine learning model that can be applied to large datasets arising in macroeconomics. Our framework sums over many simple two-component location mixtures. The transition between components is determined…

计量经济学 · 经济学 2023-12-05 Florian Huber

Undirected graphical models are applied in genomics, protein structure prediction, and neuroscience to identify sparse interactions that underlie discrete data. Although Bayesian methods for inference would be favorable in these contexts,…

机器学习 · 统计学 2017-06-15 John Ingraham , Debora Marks

We incorporate heteroskedasticity into Bayesian Additive Regression Trees (BART) by modeling the log of the error variance parameter as a linear function of prespecified covariates. Under this scheme, the Gibbs sampling procedure for the…

统计方法学 · 统计学 2014-02-24 Justin Bleich , Adam Kapelner

In the dynamic landscape of continuous change, Machine Learning (ML) "nowcasting" models offer a distinct advantage for informed decision-making in both public and private sectors. This study introduces ML-based GDP growth projection models…

计量经济学 · 经济学 2024-02-07 Juan Tenorio , Wilder Perez

Nonstationary time series data exist in various scientific disciplines, including environmental science, biology, signal processing, econometrics, among others. Many Bayesian models have been developed to handle nonstationary time series.…

统计方法学 · 统计学 2022-06-27 Yuelei Sui , Scott H. Holan , Wen-Hsi Yang

Discrimination between non-stationarity and long-range dependency is a difficult and long-standing issue in modelling financial time series. This paper uses an adaptive spectral technique which jointly models the non-stationarity and…

统计金融 · 定量金融 2019-02-12 Nick James , Roman Marchant , Richard Gerlach , Sally Cripps

Marginal structural models are a popular method for estimating causal effects in the presence of time-varying exposures. In spite of their popularity, no scalable non-parametric estimator exist for marginal structural models with…

统计方法学 · 统计学 2024-09-30 Axel Martin , Michele Santacatterina , Iván Díaz

We develop a Bayesian framework for variable selection in linear regression with autocorrelated errors, accommodating lagged covariates and autoregressive structures. This setting occurs in time series applications where responses depend on…

统计方法学 · 统计学 2025-08-18 Alokesh Manna , Sujit K. Ghosh

While artificial neural networks excel in unsupervised learning of non-sparse structure, classical statistical regression techniques offer better interpretability, in particular when sparseness is enforced by $\ell_1$ regularization,…

Rare variants are hypothesized to be largely responsible for heritability and susceptibility to disease in humans. So rare variants association studies hold promise for understanding disease. Conversely though, the rareness of the variants…

统计方法学 · 统计学 2021-12-06 Lorenzo Masoero , Joshua Schraiber , Tamara Broderick

Epidemic models play a key role in understanding and responding to the emerging COVID-19 pandemic. Widely used compartmental models are static and are of limited use to evaluate intervention strategies with the emerging pandemic. Applying…

种群与进化 · 定量生物学 2021-01-01 Shuo Wang , Xian Yang , Ling Li , Philip Nadler , Rossella Arcucci , Yuan Huang , Zhongzhao Teng , Yike Guo

We investigate the predictive power of different machine learning algorithms to nowcast Madagascar's gross domestic product (GDP). We trained popular regression models, including linear regularized regression (Ridge, Lasso, Elastic-net),…

综合经济学 · 经济学 2024-01-22 Franck Ramaharo , Gerzhino Rasolofomanana

This paper investigates the integration of gradient boosted decision trees and varying coefficient models. We introduce the tree boosted varying coefficient framework which justifies the implementation of decision tree boosting as the…

统计方法学 · 统计学 2019-04-03 Yichen Zhou , Giles Hooker