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This small note yields a sufficient condition for the short range dependence of measurable stationary infinitely divisible moving average random fields with $d$--dimensional index space. Here, the short/long range dependence concept in…

Probability · Mathematics 2024-07-17 Vitaly Makogin , Evgeny Spodarev

We improve a known result on the strong consistency of M-estimates of the regression parameters in a linear model for independent and identically distributed random errors under some mild conditions.

Statistics Theory · Mathematics 2015-05-28 Xinghui Wang , Shuhe Hu

Extraneous variables are variables that are irrelevant for a certain task, but heavily affect the distribution of the available data. In this work, we show that the presence of such variables can degrade the performance of deep-learning…

Machine Learning · Computer Science 2020-02-27 Aakash Kaku , Sreyas Mohan , Avinash Parnandi , Heidi Schambra , Carlos Fernandez-Granda

We propose that feedback-delayed manual tracking performance is limited by fundamental constraints imposed by the physics of negative group delay. To test this hypothesis, the results of an experiment in which subjects demonstrate both…

Adaptation and Self-Organizing Systems · Physics 2016-06-27 Henning U. Voss , Nigel Stepp

In the framework of on-line learning, a learning machine might move around a teacher due to the differences in structures or output functions between the teacher and the learning machine. In this paper we analyze the generalization…

Machine Learning · Computer Science 2009-11-11 Masahiro Urakami , Seiji Miyoshi , Masato Okada

Longitudinal data tracking repeated measurements on individuals are highly valued for research because they offer controls for unmeasured individual heterogeneity that might otherwise bias results. Random effects or mixed models approaches,…

Applications · Statistics 2009-09-29 J. R. Lockwood , Daniel F. McCaffrey

There is quickly growing literature on machine-learned models that predict human driving trajectories in road traffic. These models focus their learning on low-dimensional error metrics, for example average distance between model-generated…

Aging associated brain decline often result in some kind of dementia. Even when this is a complex brain disorder a physical model can be used in order to describe its general behavior. This model is based in first principles. A…

Neurons and Cognition · Quantitative Biology 2016-07-22 Oscar Sotolongo-Costa , L. M. Gaggero-Sager , J. T. Becker , F. Maestú , O. Sotolongo-Grau

Decomposing knowledge into interchangeable pieces promises a generalization advantage when there are changes in distribution. A learning agent interacting with its environment is likely to be faced with situations requiring novel…

Machine Learning · Computer Science 2021-05-20 Kanika Madan , Nan Rosemary Ke , Anirudh Goyal , Bernhard Schölkopf , Yoshua Bengio

We examine the asymptotic behaviour of the sample autocovariance in a continuous-time moving average model with long-range dependence. We show that it is either asymptotically Rosenblatt distributed or stable distributed. This shows that…

Probability · Mathematics 2015-11-24 Felix Spangenberg

Intersectoral dynamic models with power-law memory are proposed. The equations of open and closed intersectoral models, in which the memory effects are described by the Caputo derivatives of non-integer orders, are derived. We suggest…

Economics · Quantitative Finance 2017-12-27 Valentina V. Tarasova , Vasily E. Tarasov

It is analytically shown that the one-dimensional Ising model with Glauber dynamics exhibits short time memory effects when submitted to an abrupt change in the temperature. These effects are qualitatively similar to those experimentally…

Statistical Mechanics · Physics 2009-11-07 J. Javier Brey , A. Prados

In nonlinear panel data models, fixed effects methods are often criticized because they cannot identify average marginal effects (AMEs) in short panels. The common argument is that identifying AMEs requires knowledge of the distribution of…

Econometrics · Economics 2024-07-08 Victor Aguirregabiria , Jesus M. Carro

Linear quantile regression models aim at providing a detailed and robust picture of the (conditional) response distribution as function of a set of observed covariates. Longitudinal data represent an interesting field of application of such…

Methodology · Statistics 2015-07-30 Maria Francesca Marino , Nikos Tzavidis , Marco Alfo'

One stylized feature of financial volatility impacting the modeling process is long memory. This paper examines long memory for alternative risk measures, observed absolute and squared returns for Daily REITs and compares the findings for a…

Statistical Finance · Quantitative Finance 2011-03-29 John Cotter , Simon Stevenson

We revisit a model for time-varying linear regression that assumes the unknown parameters evolve according to a linear dynamical system. Counterintuitively, we show that when the underlying dynamics are stable the parameters of this model…

Statistics Theory · Mathematics 2022-01-03 Ali Jadbabaie , Horia Mania , Devavrat Shah , Suvrit Sra

Given a collection of computational models that all estimate values of the same natural process, we compare the performance of the average of the collection to the individual member whose estimates are nearest a given set of observations.…

Statistics Theory · Mathematics 2008-07-10 C. L. Winter , D. Nychka

We introduce a general contagion-like model for competing opinions that includes dynamic resistance to alternative opinions. We show that this model can describe candidate vote distributions, spatial vote correlations, and a slow approach…

Physics and Society · Physics 2016-03-08 Keith A. Burghardt , William Rand , Michelle Girvan

Inductive biases influence the behavior and performance of sequential models. In this work, we study an underexplored inductive bias in sequential modeling: continuity in time. We ask a simple question: do models motivated by…

Machine Learning · Computer Science 2026-05-12 Annan Yu , Dongwei Lyu , N. Benjamin Erichson

Memory effects are ubiquitous in small-scale systems. They emerge from interactions between accessible and inaccessible degrees of freedom and give rise to evolution equations that are non-local in time. If the characteristic time scales of…

Statistical Mechanics · Physics 2025-01-22 Kay Brandner