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A semi-parametric, non-linear regression model in the presence of latent variables is applied towards learning network graph structure. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex system of…

Machine Learning · Statistics 2018-07-03 Jonathan Mei , José M. F. Moura

Autoregressive models are ubiquitous tools for the analysis of time series in many domains such as computational neuroscience and biomedical engineering. In these domains, data is, for example, collected from measurements of brain activity.…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Jonas F. Haderlein , Andre D. H. Peterson , Anthony N. Burkitt , Iven M. Y. Mareels , David B. Grayden

The rapid advancement of models based on artificial intelligence demands innovative monitoring techniques which can operate in real time with low computational costs. In machine learning, especially if we consider artificial neural networks…

Methodology · Statistics 2023-11-10 Anna Malinovskaya , Pavlo Mozharovskyi , Philipp Otto

This article develops a class of models called Sender/Receiver Finite Mixture Exponential Random Graph Models (SRFM-ERGMs) that enables inference on networks. This class of models extends the existing Exponential Random Graph Modeling…

Methodology · Statistics 2019-09-06 Teague R Henry , Kathleen M Gates , Mitchell J Prinstein , Douglas Steinley

Modern data analysis pipelines are becoming increasingly complex due to the presence of multi-view information sources. While graphs are effective in modeling complex relationships, in many scenarios a single graph is rarely sufficient to…

Machine Learning · Statistics 2019-04-02 Uday Shankar Shanthamallu , Jayaraman J. Thiagarajan , Huan Song , Andreas Spanias

Well-calibrated probabilistic regression models are a crucial learning component in robotics applications as datasets grow rapidly and tasks become more complex. Unfortunately, classical regression models are usually either probabilistic…

Machine Learning · Computer Science 2023-09-12 Hany Abdulsamad , Peter Nickl , Pascal Klink , Jan Peters

In this paper, we introduce an algebraic method to construct stable and consistent univariate autoregressive (AR) models of low order for filtering and predicting nonlinear turbulent signals with memory depth. By stable, we refer to the…

Methodology · Statistics 2014-12-19 John Harlim , Hoon Hong , Jacob L. Robbins

Learning the dynamics of complex systems features a large number of applications in data science. Graph-based modeling and inference underpins the most prominent family of approaches to learn complex dynamics due to their ability to capture…

Signal Processing · Electrical Eng. & Systems 2018-07-06 Luis M. Lopez-Ramos , Daniel Romero , Bakht Zaman , Baltasar Beferull-Lozano

We propose a flexible Bayesian approach for sparse Gaussian graphical modeling of multivariate time series. We account for temporal correlation in the data by assuming that observations are characterized by an underlying and unobserved…

Methodology · Statistics 2025-08-21 Beniamino Hadj-Amar , Aaron M. Bornstein , Michele Guindani , Marina Vannucci

Engle and Russell (1998, Econometrica, 66:1127--1162) apply results from the GARCH literature to prove consistency and asymptotic normality of the (exponential) QMLE for the generalized autoregressive conditional duration (ACD) model, the…

Econometrics · Economics 2023-07-06 Giuseppe Cavaliere , Thomas Mikosch , Anders Rahbek , Frederik Vilandt

We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Shuai Gao , Dong Shen , Abdelhamid Tayebi

Rapid learning requires flexible representations to quickly adopt to new evidence. We develop a novel class of models called Attentive Recurrent Comparators (ARCs) that form representations of objects by cycling through them and making…

Computer Vision and Pattern Recognition · Computer Science 2017-07-03 Pranav Shyam , Shubham Gupta , Ambedkar Dukkipati

The conditional autoregressive (CAR) model, simultaneous autoregressive (SAR) model, and its variants have become the predominant strategies for modeling regional or areal-referenced spatial data. The overwhelming wide-use of the CAR/SAR…

Methodology · Statistics 2024-10-18 Sudipto Saha , Jonathan R. Bradley

We propose a simple algorithm to train stochastic neural networks to draw samples from given target distributions for probabilistic inference. Our method is based on iteratively adjusting the neural network parameters so that the output…

Machine Learning · Statistics 2016-11-29 Dilin Wang , Qiang Liu

We study generalised additive models, with shape restrictions (e.g. monotonicity, convexity, concavity) imposed on each component of the additive prediction function. We show that this framework facilitates a nonparametric estimator of each…

Statistics Theory · Mathematics 2014-04-14 Yining Chen , Richard J. Samworth

Spatial autoregressive model, introduced by Clif and Ord in 1970s has been widely applied in many areas of science and econometrics such as regional economics, public finance, political sciences, agricultural economics, environmental…

Applications · Statistics 2019-05-14 Wenqian Wang , Beth Andrews

This paper presents a novel approach to imitation learning from observations, where an autoregressive mixture of experts model is deployed to fit the underlying policy. The parameters of the model are learned via a two-stage framework. By…

Machine Learning · Computer Science 2024-11-14 Renzi Wang , Flavia Sofia Acerbo , Tong Duy Son , Panagiotis Patrinos

Time series subject to change in regime have attracted much interest in domains such as econometry, finance or meteorology. For discrete-valued regimes, some models such as the popular Hidden Markov Chain (HMC) describe time series whose…

Machine Learning · Computer Science 2021-02-26 Fatoumata Dama , Christine Sinoquet

The autoregressive (AR) models are used to represent the time-varying random process in which output depends linearly on previous terms and a stochastic term (the innovation). In the classical version, the AR models are based on normal…

Methodology · Statistics 2021-11-15 Monika S. Dhull , Arun Kumar , Agnieszka Wylomanska

We propose a risk-averse statistical learning framework wherein the performance of a learning algorithm is evaluated by the conditional value-at-risk (CVaR) of losses rather than the expected loss. We devise algorithms based on stochastic…

Machine Learning · Computer Science 2020-02-17 Tasuku Soma , Yuichi Yoshida
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