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The Vector AutoRegressive Moving Average (VARMA) model is fundamental to the theory of multivariate time series; however, identifiability issues have led practitioners to abandon it in favor of the simpler but more restrictive Vector…

Methodology · Statistics 2021-06-09 Ines Wilms , Sumanta Basu , Jacob Bien , David S. Matteson

Large VARs are increasingly used in structural analysis as a unified framework to study the impacts of multiple structural shocks simultaneously. However, the concurrent identification of multiple shocks using sign and ranking restrictions…

Econometrics · Economics 2025-03-27 Joshua Chan , Christian Matthes , Xuewen Yu

Network science provides valuable insights across numerous disciplines including sociology, biology, neuroscience and engineering. A task of major practical importance in these application domains is inferring the network structure from…

Machine Learning · Computer Science 2019-05-01 Vassilis N. Ioannidis , Yanning Shen , Georgios B. Giannakis

In the context of computer code experiments, sensitivity analysis of a complicated input-output system is often performed by ranking the so-called Sobol indices. One reason of the popularity of Sobol's approach relies on the simplicity of…

Statistics Theory · Mathematics 2018-10-30 R. Fraiman , F. Gamboa , L. Moreno

The problem of broad practical interest in spatiotemporal data analysis, i.e., discovering interpretable dynamic patterns from spatiotemporal data, is studied in this paper. Towards this end, we develop a time-varying reduced-rank vector…

Machine Learning · Computer Science 2022-11-29 Xinyu Chen , Chengyuan Zhang , Xiaoxu Chen , Nicolas Saunier , Lijun Sun

Breakthroughs in visual odometry (VO) have fundamentally reshaped the landscape of robotics, enabling ultra-precise camera state estimation that is crucial for modern autonomous systems. Despite these advances, many learning-based VO…

Computer Vision and Pattern Recognition · Computer Science 2026-01-26 Chi-Yao Huang , Zeel Bhatt , Yezhou Yang

With the growing pervasiveness of artificial intelligence, the ability to explain the inferences made by machine learning models has become increasingly important. Numerous techniques for model explainability have been proposed, with…

Human-Computer Interaction · Computer Science 2026-04-08 Nicola Rossberg , Bennett Kleinberg , Barry O'Sullivan , Luca Longo , Andrea Visentin

Sharpness-aware minimization (SAM) has well documented merits in enhancing generalization of deep neural networks, even without sizable data augmentation. Embracing the geometry of the loss function, where neighborhoods of 'flat minima'…

Machine Learning · Computer Science 2023-12-25 Bingcong Li , Georgios B. Giannakis

Stochastic simulators such as Monte-Carlo estimators are widely used in science and engineering to study physical systems through their probabilistic representation. Global sensitivity analysis aims to identify the input parameters which…

Statistics Theory · Mathematics 2013-06-03 Loic Le Gratiet

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

Methodology · Statistics 2023-11-14 Jana Kleinemeier , Nadja Klein

Interpretability is becoming increasingly important for predictive model analysis. Unfortunately, as remarked by many authors, there is still no consensus regarding this notion. The goal of this paper is to propose the definition of a score…

Machine Learning · Statistics 2021-11-24 Vincent Margot , George Luta

Vector autoregressive (VAR) models are widely used in practical studies, e.g., forecasting, modelling policy transmission mechanism, and measuring connection of economic agents. To better capture the dynamics, this paper introduces a new…

Econometrics · Economics 2021-11-02 Yayi Yan , Jiti Gao , Bin Peng

We propose and assess a new global (derivative-free) optimization algorithm, inspired by the LIPO algorithm, which uses variance-based sensitivity analysis (Sobol indices) to reduce the number of calls to the objective function. This method…

Optimization and Control · Mathematics 2019-06-13 Alexandre Janon

A structural vector autoregressive (SVAR) process is a linear causal model for variables that evolve over a discrete set of time points and between which there may be lagged and instantaneous effects. The qualitative causal structure of an…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Jonas Wahl , Andreas Gerhardus , Jakob Runge

Global sensitivity analysis is the main quantitative technique for identifying the most influential input variables in a numerical simulation model. In particular when the inputs are independent, Sobol' sensitivity indices attribute a…

Statistics Theory · Mathematics 2021-01-15 Sébastien da Veiga

Recently, it was shown that most popular IR measures are not interval-scaled, implying that decades of experimental IR research used potentially improper methods, which may have produced questionable results. However, it was unclear if and…

Information Retrieval · Computer Science 2021-01-08 Marco Ferrante , Nicola Ferro , Norbert Fuhr

Sensitivity analysis is concerned with understanding how the model output depends on uncertainties (variances) in inputs and then identifies which inputs are important in contributing to the prediction imprecision. Uncertainty determination…

Physics and Society · Physics 2017-01-04 Yueying Zhu , Qiuping Alexandre Wang , Wei Li , Xu Cai

This work focuses on the issue of variable selection in functional regression. Unlike most work in this framework, our approach does not select isolated points in the definition domain of the predictors, nor does it rely on the expansion of…

Statistics Theory · Mathematics 2018-03-05 Victor Picheny , Rémi Servien , Nathalie Villa-Vialaneix

In this paper we consider the problem of a measure that allows us to describe the spatial and temporal dependence structure of multivariate time series with innovations having infinite variance. By using recent results obtained in the…

Probability · Mathematics 2019-02-07 Aleksandra Grzesiek , Marek Teuerle , Agnieszka Wyłomańska

This paper presents an automated approach for interpretable feature recommendation for solving signal data analytics problems. The method has been tested by performing experiments on datasets in the domain of prognostics where…

Machine Learning · Statistics 2017-11-07 Snehasis Banerjee , Tanushyam Chattopadhyay , Ayan Mukherjee
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