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This article studies the problem of online non-parametric change point detection in multivariate data streams. We approach the problem through the lens of kernel-based two-sample testing and introduce a sequential testing procedure based on…

Machine Learning · Statistics 2025-10-31 Florian Kalinke , Shakeel Gavioli-Akilagun

Most algorithms for propagating evidence through belief networks have been exact and exhaustive: they produce an exact (point-valued) marginal probability for every node in the network. Often, however, an application will not need…

Artificial Intelligence · Computer Science 2013-02-28 Denise L. Draper , Steve Hanks

This paper presents a method for jointly estimating the state, input, and parameters of linear systems in an online fashion. The method is specially designed for measurements that are corrupted with non-Gaussian noise or outliers, which are…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Jean-Sébastien Brouillon , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate

This paper presents an online algorithm for identification of partial differential equations (PDEs) based on the weak-form sparse identification of nonlinear dynamics algorithm (WSINDy). The algorithm is online in a sense that if performs…

Optimization and Control · Mathematics 2022-03-09 Daniel A. Messenger , Emiliano Dall'Anese , David M. Bortz

We consider the problem of estimating the $L_1$ distance between two discrete probability measures $P$ and $Q$ from empirical data in a nonasymptotic and large alphabet setting. When $Q$ is known and one obtains $n$ samples from $P$, we…

Statistics Theory · Mathematics 2018-06-26 Jiantao Jiao , Yanjun Han , Tsachy Weissman

In this paper we study the computation of the nonparametric maximum likelihood estimator (NPMLE) in multivariate mixture models. Our first approach discretizes this infinite dimensional convex optimization problem by fixing the support…

Methodology · Statistics 2024-02-20 Yangjing Zhang , Ying Cui , Bodhisattva Sen , Kim-Chuan Toh

In this paper, we study the problem of online sparse linear regression (OSLR) where the algorithms are restricted to accessing only $k$ out of $d$ attributes per instance for prediction, which was proved to be NP-hard. Previous work gave…

Machine Learning · Computer Science 2025-11-03 Junfan Li , Shizhong Liao , Zenglin Xu , Liqiang Nie

We consider models for multivariate point processes where the intensity is given nonparametrically in terms of functions in a reproducing kernel Hilbert space. The likelihood function involves a time integral and is consequently not given…

Computation · Statistics 2014-02-14 Niels Richard Hansen

Large-scale streaming data are common in modern machine learning applications and have led to the development of online learning algorithms. Many fields, such as supply chain management, weather and meteorology, energy markets, and finance,…

Machine Learning · Statistics 2026-04-27 Simon Hirsch , Jonathan Berrisch , Florian Ziel

In this paper, we consider the problem of predicting unknown targets from data. We propose Online Residual Learning (ORL), a method that combines online adaptation with offline-trained predictions. At a lower level, we employ multiple…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Anastasios Vlachos , Anastasios Tsiamis , Aren Karapetyan , Efe C. Balta , John Lygeros

A key problem in off-policy Reinforcement Learning (RL) is the mismatch, or distribution shift, between the dataset and the distribution over states and actions visited by the learned policy. This problem is exacerbated in the fully offline…

Machine Learning · Computer Science 2023-11-28 Melrose Roderick , Gaurav Manek , Felix Berkenkamp , J. Zico Kolter

A simple yet efficient method of linear regression estimation (LRE) is presented for quantum state tomography. In this method, quantum state reconstruction is converted into a parameter estimation problem of a linear regression model and…

Quantum Physics · Physics 2013-12-18 Bo Qi , Zhibo Hou , Li Li , Daoyi Dong , Guoyong Xiang , Guangcan Guo

Modern decision-making systems, from robots to web recommendation engines, are expected to adapt: to user preferences, changing circumstances or even new tasks. Yet, it is still uncommon to deploy a dynamically learning agent (rather than a…

Machine Learning · Computer Science 2022-11-15 Shengpu Tang , Felipe Vieira Frujeri , Dipendra Misra , Alex Lamb , John Langford , Paul Mineiro , Sebastian Kochman

We consider model selection and estimation for partial spline models and propose a new regularization method in the context of smoothing splines. The regularization method has a simple yet elegant form, consisting of roughness penalty on…

Methodology · Statistics 2013-11-25 Guang Cheng , Hao Helen Zhang , Zuofeng Shang

Local differential privacy~(LDP) is an information-theoretic privacy definition suitable for statistical surveys that involve an untrusted data curator. An LDP version of quasi-maximum likelihood estimator~(QMLE) has been developed, but the…

Machine Learning · Statistics 2022-02-16 Hajime Ono , Kazuhiro Minami , Hideitsu Hino

We consider the dynamic resource allocation problem where the decision space is finite-dimensional, yet the solution must satisfy a large or even infinite number of constraints revealed via streaming data or oracle feedback. We model this…

Machine Learning · Computer Science 2026-03-18 Yiming Zong , Jiashuo Jiang

In this paper, we will discuss how to generalize nonparametric density estimators to MLE parametric estimators. Basing on the Parzen window theory and using the advantages of probability amplitude of quantum theory, we model a nonlinear…

Statistics Theory · Mathematics 2008-11-13 Yeong-Shyeong Tsai

Imitation Learning (IL) is an effective learning paradigm exploiting the interactions between agents and environments. It does not require explicit reward signals and instead tries to recover desired policies using expert demonstrations. In…

Machine Learning · Computer Science 2021-12-14 Yang Liu , Yongzhe Chang , Shilei Jiang , Xueqian Wang , Bin Liang , Bo Yuan

We consider the problem of estimating a mixture of power series distributions with infinite support, to which belong very well-known models such as Poisson, Geometric, Logarithmic or Negative Binomial probability mass functions. We consider…

Statistics Theory · Mathematics 2025-08-04 Fadoua Balabdaoui , Harald Besdziek , Yong Wang

We study risk-sensitive reinforcement learning (RL), a crucial field due to its ability to enhance decision-making in scenarios where it is essential to manage uncertainty and minimize potential adverse outcomes. Particularly, our work…

Machine Learning · Computer Science 2024-07-11 Dake Zhang , Boxiang Lyu , Shuang Qiu , Mladen Kolar , Tong Zhang