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In this paper, we examine a multi-sensor system where each sensor monitors multiple dynamic information processes and transmits updates over a shared communication channel. These updates may include correlated information across the various…

Information Theory · Computer Science 2025-02-13 Egemen Erbayat , Ali Maatouk , Peng Zou , Suresh Subramaniam

We present novel understandings of the Gamma-Poisson (GaP) model, a probabilistic matrix factorization model for count data. We show that GaP can be rewritten free of the score/activation matrix. This gives us new insights about the…

Machine Learning · Statistics 2018-06-01 Louis Filstroff , Alberto Lumbreras , Cédric Févotte

We study some of the most commonly used mutual information estimators, based on histograms of fixed or adaptive bin size, $k$-nearest neighbors and kernels, and focus on optimal selection of their free parameters. We examine the consistency…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Angeliki Papana , Dimitris Kugiumtzis

In this article, we study large-dimensional matrix factor models and estimate the factor loading matrices and factor score matrix by minimizing square loss function. Interestingly, the resultant estimators coincide with the Projected…

Methodology · Statistics 2022-11-22 Yong He , Xinbing Kong , Long Yu , Xinsheng Zhang , Changwei Zhao

We study a status update system with a source, a sampler, a transmitter, and a monitor. The source governs a stochastic process that the monitor wants to observe in a timely manner. To achieve this, the sampler samples fresh update packets…

Information Theory · Computer Science 2025-02-26 Subhankar Banerjee , Sennur Ulukus

Estimation of quantiles is one of the most fundamental real-time analysis tasks. Most real-time data streams vary dynamically with time and incremental quantile estimators document state-of-the art performance to track quantiles of such…

Methodology · Statistics 2019-02-15 Hugo Lewi Hammer , Anis Yazidi , Håvard Rue

Score matching estimators have garnered significant attention in recent years because they eliminate the need to compute normalizing constants, thereby mitigating the computational challenges associated with maximum likelihood estimation…

Machine Learning · Computer Science 2025-12-05 Haoqun Cao , Yixuan Zhang , Feng Zhou

Estimating nested expectations is an important task in computational mathematics and statistics. In this paper we propose a new Monte Carlo method using post-stratification to estimate nested expectations efficiently without taking samples…

Numerical Analysis · Mathematics 2023-04-28 Tomohiko Hironaka , Takashi Goda

We propose a class of estimators for the parameters of a GARCH(p,q) sequence. We show that our estimators are consistent and asymptotically normal under mild conditions. The quasi-maximum likelihood and the likelihood estimators are…

Statistics Theory · Mathematics 2007-06-13 István Berkes , Lajos Horváth

Formants are the spectral maxima that result from acoustic resonances of the human vocal tract, and their accurate estimation is among the most fundamental speech processing problems. Recent work has been shown that those frequencies can…

Sound · Computer Science 2022-06-24 Yosi Shrem , Felix Kreuk , Joseph Keshet

The conditional mutual information I(X;Y|Z) measures the average information that X and Y contain about each other given Z. This is an important primitive in many learning problems including conditional independence testing, graphical model…

Information Theory · Computer Science 2017-10-16 Arman Rahimzamani , Sreeram Kannan

Prediction performance does not always reflect the estimation behaviour of a method. High error in estimation may necessarily not result in high prediction error, but can lead to an unreliable prediction if test data lie in a slightly…

Applications · Statistics 2020-09-22 Raju Rimal , Trygve Almøy , Solve Sæbø

Recent research in robot exploration and mapping has focused on sampling environmental hotspot fields. This exploration task is formalized by Low, Dolan, and Khosla (2008) in a sequential decision-theoretic planning under uncertainty…

Machine Learning · Computer Science 2013-05-28 Kian Hsiang Low , John M. Dolan , Pradeep Khosla

Online recommenders have attained growing interest and created great revenue for businesses. Given numerous users and items, incremental update becomes a mainstream paradigm for learning large-scale models in industrial scenarios, where…

Information Retrieval · Computer Science 2023-12-27 Chen Yang , Jin Chen , Qian Yu , Xiangdong Wu , Kui Ma , Zihao Zhao , Zhiwei Fang , Wenlong Chen , Chaosheng Fan , Jie He , Changping Peng , Zhangang Lin , Jingping Shao

Among the many ways to model signals, a recent approach that draws considerable attention is sparse representation modeling. In this model, the signal is assumed to be generated as a random linear combination of a few atoms from a…

Computer Vision and Pattern Recognition · Computer Science 2015-05-18 Javier Turek , Irad Yavneh , Matan Protter , Michael Elad

Modern technologies are producing datasets with complex intrinsic structures, and they can be naturally represented as matrices instead of vectors. To preserve the latent data structures during processing, modern regression approaches…

Machine Learning · Computer Science 2016-11-16 Hang Zhang , Fengyuan Zhu , Shixin Li

Robust statistical estimators offer resilience against outliers but are often computationally challenging, particularly in high-dimensional sparse settings. Modern optimization techniques are utilized for robust sparse association…

Computation · Statistics 2025-02-03 Pia Pfeiffer , Andreas Alfons , Peter Filzmoser

Online recommender systems often deal with continuous, potentially fast and unbounded flows of data. Ensemble methods for recommender systems have been used in the past in batch algorithms, however they have never been studied with…

Information Retrieval · Computer Science 2018-03-28 João Vinagre , Alípio Mário Jorge , João Gama

The estimation of project completion time is to be repeated several times in the project planning phase to reach the optimal tradeoff between time, cost, and quality. Estimation procedures provide either an interval or a point estimate. The…

Other Computer Science · Computer Science 2017-07-07 Maurizio Naldi , Marta Flamini

Modern data analysis depends increasingly on estimating models via flexible high-dimensional or nonparametric machine learning methods, where the identification of structural parameters is often challenging and untestable. In linear…

Statistics Theory · Mathematics 2026-01-21 Andrii Babii , Jean-Pierre Florens