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Model-based unsupervised learning, as any learning task, stalls as soon as missing data occurs. This is even more true when the missing data are informative, or said missing not at random (MNAR). In this paper, we propose model-based…

In this article, we first propose the modified Hannan-Rissanen Method for estimating the parameters of the autoregressive moving average (ARMA) process with symmetric stable noise and symmetric stable generalized autoregressive conditional…

Computation · Statistics 2019-11-25 Aastha M. Sathe , N. S. Upadhye

We study estimation of the average treatment effect (ATE) from a single network in observational settings with interference. The weak cross-unit dependence is modeled via an endogenous peer-effect (network autoregressive) term that induces…

Methodology · Statistics 2026-03-02 Yong Wu , Shuyuan Wu , Xinwei Sun , Xuening Zhu

Our goal is to recover time-delayed latent causal variables and identify their relations from measured temporal data. Estimating causally-related latent variables from observations is particularly challenging as the latent variables are not…

Machine Learning · Statistics 2022-02-10 Weiran Yao , Yuewen Sun , Alex Ho , Changyin Sun , Kun Zhang

We study the problem of stationarity and ergodicity for autoregressive multinomial logistic time series models which possibly include a latent process and are defined by a GARCH-type recursive equation. We improve considerably upon the…

Statistics Theory · Mathematics 2018-10-02 Konstantinos Fokianos , Lionel Truquet

Temporal causal representation learning methods assume that causal mechanisms switch instantaneously between discrete domains, yet real-world systems often exhibit continuous mechanism transitions. For example, a vehicle's dynamics evolve…

Machine Learning · Computer Science 2026-01-30 Shicheng Fan , Kun Zhang , Lu Cheng

Individuals or companies in a large social or financial network often display rather heterogeneous behaviors for various reasons. In this work, we propose a network vector autoregressive model with a latent group structure to model…

Methodology · Statistics 2023-08-14 Xuening Zhu , Ganggang Xu , Jianqing Fan

The modeling of time-varying graph signals as stationary time-vertex stochastic processes permits the inference of missing signal values by efficiently employing the correlation patterns of the process across different graph nodes and time…

Machine Learning · Statistics 2023-10-16 Eylem Tugce Guneyi , Berkay Yaldiz , Abdullah Canbolat , Elif Vural

This paper studies the model selection problem in a large class of causal time series models, which includes both the ARMA or AR($\infty$) processes, as well as the GARCH or ARCH($\infty$), APARCH, ARMA-GARCH and many others processes. We…

Statistics Theory · Mathematics 2021-10-20 Jean-Marc Bardet , Kamila Kare , William Kengne

Latent variable models are widely used to perform unsupervised segmentation of time series in different context such as robotics, speech recognition, and economics. One of the most widely used latent variable model is the Auto-Regressive…

Robotics · Computer Science 2023-08-11 Michele Ginesi , Paolo Fiorini

In the paper, we consider the problem of link prediction in time-evolving graphs. We assume that certain graph features, such as the node degree, follow a vector autoregressive (VAR) model and we propose to use this information to improve…

Machine Learning · Statistics 2012-09-17 Emile Richard , Stephane Gaiffas , Nicolas Vayatis

Grade prediction for future courses not yet taken by students is important as it can help them and their advisers during the process of course selection as well as for designing personalized degree plans and modifying them based on their…

Machine Learning · Computer Science 2020-03-12 Sara Morsy , George Karypis

Gradient algorithms are classical in adaptive control and parameter estimation. For instantaneous quadratic cost functions they lead to a linear time-varying dynamic system that converges exponentially under persistence of excitation…

Optimization and Control · Mathematics 2020-10-06 Juan G. Rueda-Escobedo , Jaime A. Moreno

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…

Machine Learning · Computer Science 2019-11-05 Komlan Atitey , Pavel Loskot , Lyudmila Mihaylova

Sharpness-Aware Minimization (SAM) has proven highly effective in improving model generalization in machine learning tasks. However, SAM employs a fixed hyperparameter associated with the regularization to characterize the sharpness of the…

Machine Learning · Computer Science 2024-12-24 Jinping Zou , Xiaoge Deng , Tao Sun

Recursive Neural Networks are non-linear adaptive models that are able to learn deep structured information. However, these models have not yet been broadly accepted. This fact is mainly due to its inherent complexity. In particular, not…

Neural and Evolutionary Computing · Computer Science 2009-11-18 Alejandro Chinea

Predicting the output of a dynamical system from streaming data is fundamental to real-time feedback control and decision-making. We first derive an autoregressive representation that relates future local outputs to asynchronous past…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Jiachen Qian , Yang Zheng

We address the problem of learning graphical models which correspond to high dimensional autoregressive stationary stochastic processes. A graphical model describes the conditional dependence relations among the components of a stochastic…

Optimization and Control · Mathematics 2019-07-10 Mattia Zorzi

Transfer learning has emerged as a highly sought-after and actively pursued research area within the statistical community. The core concept of transfer learning involves leveraging insights and information from auxiliary datasets to…

Methodology · Statistics 2024-08-01 Pengfei Li , Tao Yu , Chixiang Chen , Jing Qin

Treatment non-compliance, where individuals deviate from their assigned experimental conditions, frequently complicates the estimation of causal effects. To address this, we introduce a novel learning framework based on a mixture of experts…

Methodology · Statistics 2025-06-25 François Grolleau , Céline Béji , Raphaël Porcher , François Petit
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