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Autoregressive models are among the best performing neural density estimators. We describe an approach for increasing the flexibility of an autoregressive model, based on modelling the random numbers that the model uses internally when…

Machine Learning · Statistics 2018-06-15 George Papamakarios , Theo Pavlakou , Iain Murray

This paper develops tests of the null hypothesis of linearity in the context of autoregressive models with Markov-switching means and variances. These tests are robust to the identification failures that plague conventional likelihood-based…

Methodology · Statistics 2017-01-03 Jean-Marie Dufour , Richard Luger

We propose a novel recursive system identification algorithm for linear autoregressive systems with skewed innovations. The algorithm is based on the variational Bayes approximation of the model with a multivariate normal prior for the…

Systems and Control · Computer Science 2016-12-13 Henri Nurminen , Tohid Ardeshiri

We develop a new statistical model to analyse time-varying ranking data. The model can be used with a large number of ranked items, accommodates exogenous time-varying covariates and partial rankings, and is estimated via the maximum…

Methodology · Statistics 2022-11-23 Vladimír Holý , Jan Zouhar

In this paper we propose a new class of Dynamic Mixture Models (DAMMs) being able to sequentially adapt the mixture components as well as the mixture composition using information coming from the data. The information driven nature of the…

Methodology · Statistics 2023-01-12 Leopoldo Catania

Scalar dynamic risk measures for univariate positions in continuous time are commonly represented as backward stochastic differential equations. In the multivariate setting, dynamic risk measures have been defined and studied as families of…

Risk Management · Quantitative Finance 2021-01-19 Çağın Ararat , Zachary Feinstein

We study the use of Temporal-Difference learning for estimating the structural parameters in dynamic discrete choice models. Our algorithms are based on the conditional choice probability approach but use functional approximations to…

Econometrics · Economics 2022-12-23 Karun Adusumilli , Dita Eckardt

With latent variables, stochastic recurrent models have achieved state-of-the-art performance in modeling sound-wave sequence. However, opposite results are also observed in other domains, where standard recurrent networks often outperform…

Machine Learning · Computer Science 2019-09-17 Zihang Dai , Guokun Lai , Yiming Yang , Shinjae Yoo

COVID-19 pandemic has brought to the fore epidemiological models which, though describing a wealth of behaviors, have previously received little attention in signal processing literature. In this work, a generalized time-varying…

Methodology · Statistics 2025-08-13 Barbara Pascal , Samuel Vaiter

A new family of penalty functions, adaptive to likelihood, is introduced for model selection in general regression models. It arises naturally through assuming certain types of prior distribution on the regression parameters. To study…

Methodology · Statistics 2013-08-26 Yang Feng , Tengfei Li , Zhiliang Ying

We propose a spatial autoregressive model for a multivariate response variable and functional covariates. The approach is based on the notion of signature, which represents a function as an infinite series of its iterated integrals and…

Statistics Theory · Mathematics 2025-07-16 Camille Frévent , Issa-Mbenard Dabo

Autoregressive models capture stochastic processes in which past realizations determine the generative distribution of new data; they arise naturally in a variety of industrial, biomedical, and financial settings. A key challenge when…

Statistics Theory · Mathematics 2020-07-30 Daren Wang , Yi Yu , Alessandro Rinaldo , Rebecca Willett

In this article there is no intention to repeat basic concepts about risk management, but we will try to define why often is usefull the time series analysis during the assessment of risks, and how is possible to compute a significative…

Applications · Statistics 2016-01-13 Gianluca Rosso

Accurate prediction of the Remaining Useful Life (RUL) of rolling bearings is crucial in industrial production, yet existing models often struggle with limited generalization capabilities due to their inability to fully process all…

Machine Learning · Computer Science 2023-11-29 Junliang Wang , Qinghua Zhang , Guanhua Zhu , Guoxi Sun

Survival analysis is a hotspot in statistical research for modeling time-to-event information with data censorship handling, which has been widely used in many applications such as clinical research, information system and other fields with…

Machine Learning · Computer Science 2018-11-14 Kan Ren , Jiarui Qin , Lei Zheng , Zhengyu Yang , Weinan Zhang , Lin Qiu , Yong Yu

The size of a website's active user base directly affects its value. Thus, it is important to monitor and influence a user's likelihood to return to a site. Essential to this is predicting when a user will return. Current state of the art…

Machine Learning · Computer Science 2019-09-06 Georg L. Grob , Ângelo Cardoso , C. H. Bryan Liu , Duncan A. Little , Benjamin Paul Chamberlain

Most expressivity results for transformers treat them as language recognizers -- devices that accept or reject strings -- rather than as they are used in practice: as language models that generate strings autoregressively and…

Computation and Language · Computer Science 2026-05-26 Andy Yang , Anej Svete , Jiaoda Li , Anthony Widjaja Lin , Jonathan Rawski , Ryan Cotterell , David Chiang

Modern algorithms for binary classification rely on an intermediate regression problem for computational tractability. In this paper, we establish a geometric distinction between classification and regression that allows risk in these two…

Machine Learning · Statistics 2022-05-19 Suhas Vijaykumar , Claire Lazar Reich

Pooled logistic regression models are commonly applied in survival analysis. However, the standard implementation can be computationally demanding, which is further exacerbated when using the nonparametric bootstrap for inference. To ease…

Methodology · Statistics 2025-04-21 Paul N Zivich , Stephen R Cole , Bonnie E Shook-Sa , Justin B DeMonte , Jessie K Edwards

Importance sampling is a variance reduction technique for efficient estimation of rare-event probabilities by Monte Carlo. In standard importance sampling schemes, the system is simulated using an a priori fixed change of measure suggested…

Probability · Mathematics 2007-05-23 Paul Dupuis , Hui Wang
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