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Kernel Regularized Least Squares (KRLS) is a popular method for flexibly estimating models that may have complex relationships between variables. However, its usefulness to many researchers is limited for two reasons. First, existing…

Machine Learning · Statistics 2023-09-12 Qing Chang , Max Goplerud

Gaussian processes (GPs) are important models in supervised machine learning. Training in Gaussian processes refers to selecting the covariance functions and the associated parameters in order to improve the outcome of predictions, the core…

We investigate the performance of the scan (maximum likelihood ratio statistic) and of the average likelihood ratio statistic in the problem of detecting a deterministic signal with unknown spatial extent in the prototypical univariate…

Methodology · Statistics 2014-02-26 Hock Peng Chan , Guenther Walther

In this paper, we study the problem of estimating smooth Generalized Linear Models (GLMs) in the Non-interactive Local Differential Privacy (NLDP) model. Different from its classical setting, our model allows the server to access some…

Machine Learning · Computer Science 2022-08-23 Di Wang , Lijie Hu , Huanyu Zhang , Marco Gaboardi , Jinhui Xu

This paper addresses a two-channel passive detection problem exploiting cyclostationarity. Given a reference channel (RC) and a surveillance channel (SC), the goal is to detect a target echo present at the surveillance array transmitted by…

Signal Processing · Electrical Eng. & Systems 2020-06-24 Stefanie Horstmann , David Ramírez , Peter J. Schreier

The detection of periodic signals in irregularly-sampled time series is a problem commonly encountered in astronomy. Traditional tools used for periodic searches, such as the periodogram, have poorly defined statistical properties under…

Instrumentation and Methods for Astrophysics · Physics 2025-01-13 A. Gúrpide , M. Middleton

In this paper, we aim to take one step forward to the scenario where an adaptive subspace detection framework is required to detect subspace signals in non-stationary environments. Despite the fact that this scenario is more realistic, the…

Signal Processing · Electrical Eng. & Systems 2024-01-24 Aref Miri Rekavandi

Gaussian Process Latent Variable Model (GPLVM) is a flexible framework to handle uncertain inputs in Gaussian Processes (GPs) and incorporate GPs as components of larger graphical models. Nonetheless, the standard GPLVM variational…

Multivariate linear mixed models (mvLMMs) have been widely used in many areas of genetics, and have attracted considerable recent interest in genome-wide association studies (GWASs). However, fitting mvLMMs is computationally non-trivial,…

Quantitative Methods · Quantitative Biology 2013-09-13 Xiang Zhou , Matthew Stephens

We consider the problem of robust inference under the generalized linear model (GLM) with stochastic covariates. We derive the properties of the minimum density power divergence estimator of the parameters in GLM with random design and use…

Methodology · Statistics 2020-04-06 Ayanendranath Basu , Abhik Ghosh , Abhijit Mandal , Nirian Martin , Leandro Pardo

The generalized least square (GLS) is one of the most basic tools in regression analyses. A major issue in implementing the GLS is estimation of the conditional variance function of the error term, which typically requires a restrictive…

Econometrics · Economics 2024-01-24 Yoichi Arai , Taisuke Otsu , Mengshan Xu

Large Language Models have shown growing ability to generate fluent and coherent texts that are highly similar to the writing style of humans. Current detectors for Machine-Generated Text (MGT) perform well when they are trained and tested…

Computation and Language · Computer Science 2025-08-26 Shengchao Liu , Xiaoming Liu , Chengzhengxu Li , Zhaohan Zhang , Guoxin Ma , Yu Lan , Shuai Xiao

The problem of linear modulation classification using likelihood based methods is considered. Asymptotic properties of most commonly used classifiers in the literature are derived. These classifiers are based on hybrid likelihood ratio test…

Information Theory · Computer Science 2012-11-29 Onur Ozdemir , Pramod K. Varshney , Wei Su , Andrew L. Drozd

Recently, the proposal of the least mean square (LMS) and recursive least squares (RLS) algorithm for graph signal processing (GSP) provides excellent solutions for processing signals defined on irregular structures such as sensor networks.…

Signal Processing · Electrical Eng. & Systems 2025-06-03 Haiquan Zhao , Chengjin Li

This paper deals with joint adaptive radar detection and target bearing estimation in the presence of mutual coupling among the array elements. First of all, a suitable model of the signal received by the multichannel radar is developed via…

Signal Processing · Electrical Eng. & Systems 2025-05-13 Augusto Aubry , Antonio De Maio , Lan Lan , Massimo Rosamilia

This paper considers the problem of recovering the permutation of an n-dimensional random vector X observed in Gaussian noise. First, a general expression for the probability of error is derived when a linear decoder (i.e., linear estimator…

Information Theory · Computer Science 2021-05-10 Minoh Jeong , Alex Dytso , Martina Cardone

We propose an L1-penalized algorithm for fitting high-dimensional generalized linear mixed models. Generalized linear mixed models (GLMMs) can be viewed as an extension of generalized linear models for clustered observations. This…

Computation · Statistics 2014-06-03 Jürg Schelldorfer , Lukas Meier , Peter Bühlmann

Reconstructing a signal on a graph from noisy observations of a subset of the vertices is a fundamental problem in the field of graph signal processing. This paper investigates how sample size affects reconstruction error in the presence of…

Signal Processing · Electrical Eng. & Systems 2026-02-26 Baskaran Sripathmanathan , Xiaowen Dong , Michael Bronstein

Instruction tuning is a standard paradigm for adapting large language models (LLMs), but modern instruction datasets are large, noisy, and redundant, making full-data fine-tuning costly and often unnecessary. Existing data selection methods…

Computation and Language · Computer Science 2026-01-21 Zhihang Yuan , Chengyu Yue , Long Huang , Litu Ou , Lei Shi

This paper addresses the behaviour of a classical multi-antenna GLRT test that allows to detect the presence of a known signal corrupted by a multi-path propagation channel and by an additive white Gaussian noise with unknown spatial…

Information Theory · Computer Science 2015-10-28 Sonja Hiltunen , Philippe Loubaton , Pascal Chevalier