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This paper proposes a simple yet effective convolutional module for long-term time series forecasting. The proposed block, inspired by the Auto-Regressive Integrated Moving Average (ARIMA) model, consists of two convolutional components:…

Machine Learning · Computer Science 2025-09-15 Myung Jin Kim , YeongHyeon Park , Il Dong Yun

An algorithm called MUSIC-like algorithm was originally proposed as an alternative method to the MUltiple SIgnal Classification (MUSIC) algorithm for direction-of-arrival (DOA) estimation. Without requiring explicit model order estimation,…

Signal Processing · Electrical Eng. & Systems 2018-11-20 Narong Borijindargoon , Boon Poh Ng

Existing online continuous-time parameter estimation laws provide exact (asymptotic/exponential or finite/fixed time) identification of dynamical linear/nonlinear systems parameters only if the external perturbations are equaled to zero or…

Systems and Control · Electrical Eng. & Systems 2024-04-08 Anton Glushchenko , Konstantin Lastochkin

In this paper we consider trajectory tracking problem for robotic systems affected by unknown external perturbations. Considering possible solutions, we restrict our attention to composite adaptation, which, particularly, ensures parametric…

Systems and Control · Electrical Eng. & Systems 2024-07-01 Anton Glushchenko , Konstantin Lastochkin

Compositional Data Analysis (CoDa) has gained popularity in recent years. This type of data consists of values from disjoint categories that sum up to a constant. Both Dirichlet regression and logistic-normal regression have become popular…

Methodology · Statistics 2024-06-25 Joaquín Martínez-Minaya , Haavard Rue

We use information from higher order moments to achieve identification of non-Gaussian structural vector autoregressive moving average (SVARMA) models, possibly non-fundamental or non-causal, through a frequency domain criterion based on a…

Statistics Theory · Mathematics 2020-09-10 Carlos Velasco

We present an efficient alternating direction method of multipliers (ADMM) algorithm for segmenting a multivariate non-stationary time series with structural breaks into stationary regions. We draw from recent work where the series is…

Machine Learning · Statistics 2018-06-26 Alex Tank , Emily B. Fox , Ali Shojaie

Compositional generalization is a crucial step towards developing data-efficient intelligent machines that generalize in human-like ways. In this work, we tackle a challenging form of distribution shift, termed compositional shift, where…

Machine Learning · Computer Science 2025-07-14 Divyat Mahajan , Mohammad Pezeshki , Charles Arnal , Ioannis Mitliagkas , Kartik Ahuja , Pascal Vincent

The paper algorithmizes the problem of regime change point identification for data measured in a system exhibiting impulsive behaviors. This is a fundamental challenge for annotation of measurement data relevant, e.g., for designing…

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

This paper considers a distributed detection setup where agents in a network want to detect a time-varying signal embedded in temporally correlated noise. The signal of interest is the impulse response of an ARMA (auto-regressive moving…

Signal Processing · Electrical Eng. & Systems 2023-04-17 João Domingos , João Xavier

This paper develops a semiparametric Bayesian instrumental variable analysis method for estimating the causal effect of an endogenous variable when dealing with unobserved confounders and measurement errors with partly interval-censored…

Methodology · Statistics 2025-01-28 Elvis Han Cui , Xuyang Lu , Jin Zhou , Hua Zhou , Gang Li

We express the classic ARMA time-series model as a directed graphical model. In doing so, we find that the deterministic relationships in the model make it effectively impossible to use the EM algorithm for learning model parameters. To…

Applications · Statistics 2012-08-10 Bo Thiesson , David Maxwell Chickering , David Heckerman , Christopher Meek

We present a general and flexible framework for detecting regime changes in complex, non-stationary data across multi-trial experiments. Traditional change point detection methods focus on identifying abrupt changes within a single time…

Methodology · Statistics 2025-12-08 Anass B. El-Yaagoubi , Jean-Marc Freyermuth , Hernando Ombao

This work presents Causal Drift Generator (CaDrift), a time-dependent synthetic data generator framework based on Structural Causal Models (SCMs). The framework produces a virtually infinite combination of data streams with controlled shift…

Machine Learning · Computer Science 2026-02-25 Eduardo V. L. Barboza , Jean Paul Barddal , Robert Sabourin , Rafael M. O. Cruz

Drift diffusion models (DDMs) have found widespread use in computational neuroscience and other fields. They model evidence accumulation in simple decision tasks as a stochastic process drifting towards a decision barrier. In models where…

Methodology · Statistics 2025-12-12 Sicheng Liu , Alexander Fengler , Michael J. Frank , Matthew T. Harrison

Autonomous Aerial Manipulators (AAMs) are inherently coupled, nonlinear systems that exhibit nonstationary and multiscale residual dynamics, particularly during manipulator reconfiguration and abrupt payload variations. Conventional…

In modern biomedical and econometric studies, longitudinal processes are often characterized by complex time-varying associations and abrupt regime shifts that are shared across correlated outcomes. Standard functional data analysis (FDA)…

Methodology · Statistics 2026-01-28 Baolin Chen , Mengfei Ran

Complex time series models such as (the sum of) ARMA$(p,q)$ models with additional noise, random walks, rounding errors and/or drifts are increasingly used for data analysis in fields such as biology, ecology, engineering and economics…

Methodology · Statistics 2020-01-14 Stéphane Guerrier , Roberto Molinari , Maria-Pia Victoria-Feser , Haotian Xu

Nonstationarity of real-life time series requires model adaptation. In classical approaches like ARMA-ARCH there is assumed some arbitrarily chosen dependence type. To avoid their bias, we will focus on novel more agnostic approach: moving…

Methodology · Statistics 2025-06-09 Jarek Duda