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Most existing temporal point process models are characterized by conditional intensity function. These models often require numerical approximation methods for likelihood evaluation, which potentially hurts their performance. By directly…

Machine Learning · Computer Science 2024-05-03 Bingqing Liu

Bayesian model comparison (BMC) offers a principled approach for assessing the relative merits of competing computational models and propagating uncertainty into model selection decisions. However, BMC is often intractable for the popular…

Machine Learning · Statistics 2023-11-27 Lasse Elsemüller , Martin Schnuerch , Paul-Christian Bürkner , Stefan T. Radev

Economic and financial models -- such as vector autoregressions, local projections, and multivariate volatility models -- feature complex dynamic interactions and spillovers across many time series. These models can be integrated into a…

Econometrics · Economics 2025-03-10 Jinyuan Chang , Qiao Hu , Zhentao Shi , Jia Zhang

We perform the Bayesian inference of a GARCH model by the Metropolis-Hastings algorithm with an adaptive proposal density. The adaptive proposal density is assumed to be the Student's t-distribution and the distribution parameters are…

Computational Finance · Quantitative Finance 2010-12-30 Tetsuya Takaishi

Integer-valued generalized autoregressive conditional heteroskedastic (INGARCH) models are a popular framework for modeling serial dependence in count time-series. While convenient for modeling, prediction, and estimation, INGARCH models…

Methodology · Statistics 2026-05-12 Jae Youn Ahn , Hong Beng Lim , Mario V. Wüthrich

Approximations to Gaussian processes based on inducing variables, combined with variational inference techniques, enable state-of-the-art sparse approaches to infer GPs at scale through mini batch-based learning. In this work, we address…

Machine Learning · Statistics 2021-07-21 Gia-Lac Tran , Dimitrios Milios , Pietro Michiardi , Maurizio Filippone

We consider inference for the parameters of a linear model when the covariates are random and the relationship between response and covariates is possibly non-linear. Conventional inference methods such as z-intervals perform poorly in…

Methodology · Statistics 2017-01-17 Daniel McCarthy , Kai Zhang , Lawrence Brown , Richard Berk , Andreas Buja , Edward George , Linda Zhao

We present a stochastic model predictive control (MPC) method for linear discrete-time systems subject to possibly unbounded and correlated additive stochastic disturbance sequences. Chance constraints are treated in analogy to robust MPC…

Systems and Control · Computer Science 2019-01-23 Lukas Hewing , Kim P. Wabersich , Melanie N. Zeilinger

The Multiple Comparison Procedures with Modeling Techniques (MCP-Mod) framework has been recently approved by the U.S. Food and Administration and European Medicines Agency as fit-per-purpose for phase II studies. Nonetheless, this approach…

Methodology · Statistics 2023-06-16 Márcio A. Diniz , Diego I. Gallardo , Tiago M. Magalhães

We propose a monitoring strategy for efficient and robust estimation of disease prevalence and case numbers within closed and enumerated populations such as schools, workplaces, or retirement communities. The proposed design relies largely…

Methodology · Statistics 2024-04-22 Robert H. Lyles , Yuzi Zhang , Lin Ge , Lance A. Waller

Selecting powerful predictors for an outcome is a cornerstone task for machine learning. However, some types of questions can only be answered by identifying the predictors that causally affect the outcome. A recent approach to this causal…

Machine Learning · Computer Science 2022-03-01 Guillaume Martinet , Alexander Strzalkowski , Barbara E. Engelhardt

Range-measured return contains more information than the traditional scalar-valued return. In this paper, we propose to model the [low, high] price range as a random interval and suggest an interval-valued GARCH (Int-GARCH) model for the…

Methodology · Statistics 2019-01-11 Yan Sun , Guanghua Lian , Zudi Lu , Jennifer Loveland , Isaac Blackhurst

The distance dependent Chinese Restaurant Process (ddCRP) provides a flexible prior distribution for clustering observations, incorporating covariate information through pairwise distances and accommodating a rich variety of cluster…

Methodology · Statistics 2026-05-18 Joseph Marsh , Theodore Kypraios , Rowland G. Seymour

Targeted maximum likelihood estimation is a general methodology combining flexible ensemble learning and semiparametric efficiency theory in a two-step procedure for estimation of causal parameters. Proposed targeted maximum likelihood…

Methodology · Statistics 2021-06-22 Helene Charlotte Wiese Rytgaard , Frank Eriksson , Mark van der Laan

This paper introduces multivariate Poisson autoregressive models with exogenous covariates (PoARX) for modelling multivariate time series of counts. We obtain conditions for the PoARX process to be stationary and ergodic before proposing a…

Methodology · Statistics 2018-06-14 Jamie Halliday , Georgi N. Boshnakov

We propose two approaches for selecting variables in latent class analysis (i.e.,mixture model assuming within component independence), which is the common model-based clustering method for mixed data. The first approach consists in…

Computation · Statistics 2017-03-08 Matthieu Marbac , Mohammed Sedki

This paper deals with the problem of model selection for a general class of integer-valued time series. We propose a penalized criterion based on the Poisson quasi-likelihood of the model. Under certain regularity conditions, the…

Statistics Theory · Mathematics 2020-02-21 Mamadou Lamine Diop , William Kengne

We consider the inverse Ising problem, i.e. the inference of network couplings from observed spin trajectories for a model with continuous time Glauber dynamics. By introducing two sets of auxiliary latent random variables we render the…

Machine Learning · Statistics 2017-12-22 Christian Donner , Manfred Opper

Accurately tracking and predicting behaviors of surrounding objects are key prerequisites for intelligent systems such as autonomous vehicles to achieve safe and high-quality decision making and motion planning. However, there still remain…

Robotics · Computer Science 2020-03-31 Jiachen Li , Wei Zhan , Yeping Hu , Masayoshi Tomizuka

We propose a flexible nonparametric Bayesian modelling framework for multivariate time series of count data based on tensor factorisations. Our models can be viewed as infinite state space Markov chains of known maximal order with…

Methodology · Statistics 2023-11-13 Zhongzhen Wang , Petros Dellaportas , Ioannis Kosmidis