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When deployed in the real world, machine learning models inevitably encounter changes in the data distribution, and certain -- but not all -- distribution shifts could result in significant performance degradation. In practice, it may make…

Machine Learning · Statistics 2022-05-06 Aleksandr Podkopaev , Aaditya Ramdas

This paper proposes a novel consensus-based distributed filter over directed graphs under the collectively observability condition. The distributed filter is designed using an augmented leader-following information fusion strategy, and the…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Xiaoxu Lyu , Guanghui Wen , Yuezu Lv , Zhisheng Duan , Ling Shi

This paper describes a methodology for detecting anomalies from sequentially observed and potentially noisy data. The proposed approach consists of two main elements: (1) {\em filtering}, or assigning a belief or likelihood to each…

Machine Learning · Computer Science 2016-11-17 Maxim Raginsky , Rebecca Willett , Corinne Horn , Jorge Silva , Roummel Marcia

We consider the problem of quickest change-point detection in data streams. Classical change-point detection procedures, such as CUSUM, Shiryaev-Roberts and Posterior Probability statistics, are optimal only if the change-point model is…

Machine Learning · Statistics 2017-06-13 Denis Volkhonskiy , Ilia Nouretdinov , Alexander Gammerman , Vladimir Vovk , Evgeny Burnaev

This paper addresses two interrelated problems of the nonlinear filtering mechanism and fast attitude filtering with the matrix Fisher distribution (MFD) on the special orthogonal group. By analyzing the distribution evolution along Bayes'…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Shijie Wang , Haichao Gui , Rui Zhong

For latent class models where the class weights depend on individual covariates, we derive a simple expression for computing the score vector and a convenient hybrid between the observed and the expected information matrices which is always…

Computation · Statistics 2015-11-13 Antonio Forcina

Comparative and evolutive ecologists are interested in the distribution of quantitative traits among related species. The classical framework for these distributions consists of a random process running along the branches of a phylogenetic…

Applications · Statistics 2017-08-24 Paul Bastide , Mahendra Mariadassou , Stéphane Robin

We consider the problem of decentralized estimation using wireless sensor networks. Specifically, we propose a novel framework based on level-triggered sampling, a non-uniform sampling strategy, and sequential estimation. The proposed…

Applications · Statistics 2013-09-24 Yasin Yilmaz , Xiaodong Wang

Along with the exponential growth of online platforms and services, recommendation systems have become essential for identifying relevant items based on user preferences. The domain of sequential recommendation aims to capture evolving user…

Information Retrieval · Computer Science 2023-07-12 Jung Hyun Ryu , Jaeheyoung Jeon , Jewoong Cho , Myungjoo Kang 1

We present a new adaptive algorithm for learning discrete distributions under distribution drift. In this setting, we observe a sequence of independent samples from a discrete distribution that is changing over time, and the goal is to…

Machine Learning · Computer Science 2024-03-11 Alessio Mazzetto

A multiple filter test (MFT) for the analysis and detection of rate change points in point processes on the line has been proposed recently. The underlying statistical test investigates the null hypothesis of constant rate. For that…

Statistics Theory · Mathematics 2016-05-18 Michael Messer , Gaby Schneider

We study the mixing time guarantee for sampling in relative Fisher information via the Proximal Sampler algorithm, which is an approximate proximal discretization of the Langevin dynamics. We show that when the target probability…

Information Theory · Computer Science 2025-07-01 Andre Wibisono

Hierarchical parametric models consisting of observable and latent variables are widely used for unsupervised learning tasks. For example, a mixture model is a representative hierarchical model for clustering. From the statistical point of…

Machine Learning · Statistics 2014-01-24 Keisuke Yamazaki

We propose a probabilistic formulation that enables sequential detection of multiple change points in a network setting. We present a class of sequential detection rules for certain functionals of change points (minimum among a subset), and…

Statistics Theory · Mathematics 2012-07-09 Arash Ali Amini , XuanLong Nguyen

Transformer-based time series forecasting has recently gained strong interest due to the ability of transformers to model sequential data. Most of the state-of-the-art architectures exploit either temporal or inter-channel dependencies,…

Machine Learning · Computer Science 2025-03-25 Davide Villaboni , Alberto Castellini , Ivan Luciano Danesi , Alessandro Farinelli

We derive a new variational principle for the quantum Fisher information leading to a simple iterative alternating algorithm, the convergence of which is proved. The case of a fixed measurement, i.e. the classical Fisher information, is…

Quantum Physics · Physics 2013-12-06 Katarzyna Macieszczak

The conventional formulation of quantum sensing is based on the assumption that the probe is reset to its initial state after each measurement. In a very distinct approach, one can also pursue a sequential measurement scheme in which…

Quantum Physics · Physics 2023-08-08 Yaoling Yang , Victor Montenegro , Abolfazl Bayat

We introduce scalable algorithms for online learning of neural network parameters and Bayesian sequential decision making. Unlike classical Bayesian neural networks, which induce predictive uncertainty through a posterior over model…

Machine Learning · Computer Science 2025-10-10 Gerardo Duran-Martin , Leandro Sánchez-Betancourt , Álvaro Cartea , Kevin Murphy

We provide a new estimation method for conditional moment models via the martingale difference divergence (MDD).Our MDD-based estimation method is formed in the framework of a continuum of unconditional moment restrictions. Unlike the…

Econometrics · Economics 2024-04-18 Kunyang Song , Feiyu Jiang , Ke Zhu

The focus of this paper is the estimation of a delay between two signals. Such a problem is common in signal processing and particularly challenging when the delay is non-stationary in nature. Our proposed solution is based on an all-pass…

Signal Processing · Electrical Eng. & Systems 2021-06-17 Beth Jelfs , Shuai Sun , Kamran Ghorbani , Christopher Gilliam