English
Related papers

Related papers: Dimensionality Reduction and State Space Systems: …

200 papers

Bayesian deep learning approaches assume model parameters to be latent random variables and infer posterior distributions to quantify uncertainty, increase safety and trust, and prevent overconfident and unpredictable behavior. However,…

Machine Learning · Computer Science 2023-07-13 Jihao Andreas Lin , Joe Watson , Pascal Klink , Jan Peters

We show that regularizing Bayesian predictive regressions provides a framework for prior sensitivity analysis. We develop a procedure that jointly regularizes expectations and variance-covariance matrices using a pair of shrinkage priors.…

Methodology · Statistics 2017-09-15 Guanhao Feng , Nicholas G. Polson

We forecast S&P 500 excess returns using a flexible Bayesian econometric state space model with non-Gaussian features at several levels. More precisely, we control for overparameterization via novel global-local shrinkage priors on the…

Econometrics · Economics 2025-02-07 Florian Huber , Gregor Kastner , Michael Pfarrhofer

Conjugate priors allow for fast inference in large dimensional vector autoregressive (VAR) models but, at the same time, introduce the restriction that each equation features the same set of explanatory variables. This paper proposes a…

Econometrics · Economics 2020-08-27 Niko Hauzenberger , Florian Huber , Luca Onorante

Vector autoregressive (VAR) models assume linearity between the endogenous variables and their lags. This assumption might be overly restrictive and could have a deleterious impact on forecasting accuracy. As a solution, we propose…

Econometrics · Economics 2021-03-10 Florian Huber , Luca Rossini

Financial returns are known to exhibit heavy tails, volatility clustering and abrupt jumps that are poorly captured by classical diffusion models. Advances in machine learning have enabled highly flexible functional forms for conditional…

Risk Management · Quantitative Finance 2025-09-03 Ziyao Wang , Svetlozar T Rachev

This study introduces a dynamic Bayesian network (DBN) framework for forecasting value at risk (VaR) and stressed VaR (SVaR) and compares its performance to several commonly applied models. Using daily S&P 500 index returns from 1991 to…

Risk Management · Quantitative Finance 2025-12-08 Eden Gross , Ryan Kruger , Francois Toerien

This paper presents a fast algorithm for estimating hidden states of Bayesian state space models. The algorithm is a variation of amortized simulation-based inference algorithms, where a large number of artificial datasets are generated at…

Econometrics · Economics 2022-10-14 Ramis Khabibullin , Sergei Seleznev

We consider the problem of state estimation from limited discrete and noisy measurements. In particular, we focus on modal state estimation, which approximates the unknown state of the system within a prescribed basis. We estimate the…

Numerical Analysis · Mathematics 2025-05-08 Lev Kakasenko , Alen Alexanderian , Mohammad Farazmand , Arvind K. Saibaba

State-space mixed-frequency vector autoregressions are now widely used for nowcasting. Despite their popularity, estimating such models can be computationally intensive, especially for large systems with stochastic volatility. To tackle the…

Econometrics · Economics 2021-12-22 Joshua C. C. Chan , Aubrey Poon , Dan Zhu

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

We develop an efficient sampling approach for handling complex missing data patterns and a large number of missing observations in conditionally Gaussian state space models. Two important examples are dynamic factor models with unbalanced…

Econometrics · Economics 2023-02-08 Joshua C. C. Chan , Aubrey Poon , Dan Zhu

Most representative decision tree ensemble methods have been used to examine the variable importance of Treasury term spreads to predict US economic recessions with a balance of generating rules for US economic recession detection. A…

Machine Learning · Statistics 2022-03-15 Pedro Cadahia Delgado , Emilio Congregado , Antonio A. Golpe , José Carlos Vides

The paper addresses joint sparsity selection in the regression coefficient matrix and the error precision (inverse covariance) matrix for high-dimensional multivariate regression models in the Bayesian paradigm. The selected sparsity…

Methodology · Statistics 2022-01-19 Srijata Samanta , Kshitij Khare , George Michailidis

This article considers a stable vector autoregressive (VAR) model and investigates return predictability in a Bayesian context. The VAR system comprises asset returns and the dividend-price ratio as proposed in Cochrane (2008), and allows…

Applications · Statistics 2022-12-06 Borys Koval , Sylvia Frühwirth-Schnatter , Leopold Sögner

We develop the methodology and a detailed case study in use of a class of Bayesian predictive synthesis (BPS) models for multivariate time series forecasting. This extends the recently introduced foundational framework of BPS to the…

Methodology · Statistics 2022-06-07 Kenichiro McAlinn , Knut Are Aastveit , Jouchi Nakajima , Mike West

We discuss Bayesian forecasting of increasingly high-dimensional time series, a key area of application of stochastic dynamic models in the financial industry and allied areas of business. Novel state-space models characterizing sparse…

Methodology · Statistics 2022-06-07 Zoey Yi Zhao , Meng Xie , Mike West

A Bayesian analytics framework that precisely quantifies uncertainty offers a significant advance for financial risk management. We develop an integrated approach that consistently enhances the handling of risk in market volatility…

Risk Management · Quantitative Finance 2025-12-19 Sharif Al Mamun , Rakib Hossain , Md. Jobayer Rahman , Malay Kumar Devnath , Farhana Afroz , Lisan Al Amin

We give explicit algorithms and source code for extracting factors underlying Treasury yields using (unsupervised) machine learning (ML) techniques, such as nonnegative matrix factorization (NMF) and (statistically deterministic)…

Methodology · Statistics 2020-03-13 Zura Kakushadze , Willie Yu

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

Econometrics · Economics 2020-06-12 Matteo Mogliani , Anna Simoni