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This paper develops a threshold regression model where an unknown relationship between two variables nonparametrically determines the threshold. We allow the observations to be cross-sectionally dependent so that the model can be applied to…

Econometrics · Economics 2021-01-29 Yoonseok Lee , Yulong Wang

Being able to successfully determine whether the testing samples has similar distribution as the training samples is a fundamental question to address before we can safely deploy most of the machine learning models into practice. In this…

Machine Learning · Computer Science 2024-05-07 Zhaiming Shen , Menglun Wang , Guang Cheng , Ming-Jun Lai , Lin Mu , Ruihao Huang , Qi Liu , Hao Zhu

In this paper, we propose to simultaneously estimate all the sampling rate offsets (SROs) of multiple devices. In a distributed microphone array, the SRO is inevitable, which deteriorates the performance of array signal processing. Most of…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-28 Yoshiki Masuyama , Kouei Yamaoka , Nobutaka Ono

Dynamical systems across the sciences, from electrical circuits to ecological networks, undergo qualitative and often catastrophic changes in behavior, called bifurcations, when their underlying parameters cross a threshold. Existing…

Machine Learning · Computer Science 2024-03-22 Noa Moriel , Matthew Ricci , Mor Nitzan

Cooperative diversity systems are wireless communication systems designed to exploit cooperation among users to mitigate the effects of multipath fading. In fairly general conditions, it has been shown that these systems can achieve the…

Applications · Statistics 2009-11-13 Peter A. Parker , Patrick Mitran , Daniel W. Bliss , Vahid Tarokh

This paper presents a pre-processing and a distance which improve the performance of machine learning algorithms working on independent and identically distributed stochastic processes. We introduce a novel non-parametric approach to…

Machine Learning · Computer Science 2015-09-04 Gautier Marti , Philippe Very , Philippe Donnat

A unit root test is proposed for time series with a general nonlinear deterministic trend component. It is shown that asymptotically the pooled OLS estimator of overlapping blocks filters out any trend component that satisfies some…

Econometrics · Economics 2020-09-15 Sven Otto

A central theme in the field of survey statistics is estimating population-level quantities through data coming from potentially non-representative samples of the population. Multilevel Regression and Poststratification (MRP), a model-based…

Methodology · Statistics 2020-07-17 Yuxiang Gao , Lauren Kennedy , Daniel Simpson , Andrew Gelman

In this work, we study early-warning signs for stochastic partial differential equations (SPDEs), where the linearization around a steady state has continuous spectrum. The studied warning sign takes the form of qualitative changes in the…

Probability · Mathematics 2023-07-27 Paolo Bernuzzi , Antonia Düx , Christian Kühn

Thanks to high-tech measurement systems like sensors, data are often collected with high frequency in modern industrial processes. This phenomenon could potentially produce autocorrelated and cross-correlated measurements. It has been shown…

Methodology · Statistics 2025-01-22 Adel Ahmadi Nadi , Giovanni Celano , Stefan Steiner

Encoding information about continuous variables using noisy computational units is a challenge; nonetheless, asymptotic theory shows that combining multiple periodic scales for coding can be highly precise despite the corrupting influence…

Neurons and Cognition · Quantitative Biology 2013-08-22 Alexander Mathis , Andreas V. M. Herz , Martin B. Stemmler

Ultrawideband radar is an attractive technology for a variety of applications including security systems. As such, it is essential to develop low-cost systems that produce clear target images. Electromagnetic inverse scattering with…

Signal Processing · Electrical Eng. & Systems 2021-10-14 Takuya Sakamoto

The reliability of machine learning systems critically assumes that the associations between features and labels remain similar between training and test distributions. However, unmeasured variables, such as confounders, break this…

Machine Learning · Computer Science 2020-08-17 Megha Srivastava , Tatsunori Hashimoto , Percy Liang

Early stopping is a well known approach to reduce the time complexity for performing training and model selection of large scale learning machines. On the other hand, memory/space (rather than time) complexity is the main constraint in many…

Machine Learning · Statistics 2018-02-02 Tomas Angles , Raffaello Camoriano , Alessandro Rudi , Lorenzo Rosasco

The spectrum of the generator (Kolmogorov operator) of a diffusion process, referred to as the Ruelle-Pollicott (RP) spectrum, provides a detailed characterization of correlation functions and power spectra of stochastic systems via…

Mathematical Physics · Physics 2020-03-11 Alexis Tantet , Mickaël D. Chekroun , Henk A. Dijkstra , J. David Neelin

Automotive FMCW radars are indispensable to modern ADAS and autonomous-driving systems, but their increasing density has intensified the risk of mutual interference. Existing mitigation techniques, including reactive receiver-side…

Systems and Control · Electrical Eng. & Systems 2026-01-01 Yunian Pan , Jun Li , Lifan Xu , Shunqiao Sun , Quanyan Zhu

Difference-in-differences (DID) is a widely used approach for drawing causal inference from observational panel data. Two common estimation strategies for DID are outcome regression and propensity score weighting. In this paper, motivated…

Applications · Statistics 2021-01-05 Fan Li , Fan Li

Early time classification algorithms aim to label a stream of features without processing the full input stream, while maintaining accuracy comparable to that achieved by applying the classifier to the entire input. In this paper, we…

Machine Learning · Computer Science 2024-02-02 Liran Ringel , Regev Cohen , Daniel Freedman , Michael Elad , Yaniv Romano

Distance-based regression model, as a nonparametric multivariate method, has been widely used to detect the association between variations in a distance or dissimilarity matrix for outcomes and predictor variables of interest in genetic…

Statistics Theory · Mathematics 2022-03-14 Yuke Shi , Wei Zhang , Aiyi Liu , Qizhai Li

When multiple investigators analyze a common dataset, the data reuse induces dependence across testing procedures, affecting the distribution of errors. Existing techniques of managing dependent tests require either cross-study coordination…

Statistics Theory · Mathematics 2026-04-10 Reid Dale , Jordan Rodu , Maria E. Currie , Mike Baiocchi
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