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Given $iid$ observations from an unknown absolute continuous distribution defined on some domain $\Omega$, we propose a nonparametric method to learn a piecewise constant function to approximate the underlying probability density function.…

Machine Learning · Statistics 2018-03-13 Dangna Li , Kun Yang , Wing Hung Wong

Flexibly modeling how an entire density changes with covariates is an important but challenging generalization of mean and quantile regression. While existing methods for density regression primarily consist of covariate-dependent discrete…

Methodology · Statistics 2021-12-24 Vittorio Orlandi , Jared Murray , Antonio Linero , Alexander Volfovsky

We present an efficient distributed online learning scheme to classify data captured from distributed, heterogeneous, and dynamic data sources. Our scheme consists of multiple distributed local learners, that analyze different streams of…

Machine Learning · Computer Science 2013-08-27 Luca Canzian , Yu Zhang , Mihaela van der Schaar

Continual relation extraction (CRE) models aim at handling emerging new relations while avoiding catastrophically forgetting old ones in the streaming data. Though improvements have been shown by previous CRE studies, most of them only…

Computation and Language · Computer Science 2023-05-09 Heming Xia , Peiyi Wang , Tianyu Liu , Binghuai Lin , Yunbo Cao , Zhifang Sui

Learning from a continuous stream of non-stationary data in an unsupervised manner is arguably one of the most common and most challenging settings facing intelligent agents. Here, we attack learning under all three conditions…

Machine Learning · Computer Science 2023-05-23 Rylan Schaeffer , Gabrielle Kaili-May Liu , Yilun Du , Scott Linderman , Ila Rani Fiete

With the rise of the Internet of Things, strategies for effectively processing big data are essential for discovering meaningul insights. The time series datasets produced by groups of interconnected devices contain valuable underlying…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Turner Richmond , Namita Lokare , Qian Ge , Edgar Lobaton

Streaming anomaly detection refers to the problem of detecting anomalous data samples in streams of data. This problem poses challenges that classical and deep anomaly detection methods are not designed to cope with, such as conceptual…

Machine Learning · Computer Science 2022-10-12 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio Gonzalez

We propose an online data compression approach for efficiently solving distributionally robust optimization (DRO) problems with streaming data while maintaining out-of-sample performance guarantees. Our method dynamically constructs…

Optimization and Control · Mathematics 2025-09-12 Irina Wang , Marta Fochesato , Bartolomeo Stellato

Selectivity estimation aims at estimating the number of database objects that satisfy a selection criterion. Answering this problem accurately and efficiently is essential to many applications, such as density estimation, outlier detection,…

Databases · Computer Science 2021-05-28 Yaoshu Wang , Chuan Xiao , Jianbin Qin , Rui Mao , Onizuka Makoto , Wei Wang , Rui Zhang , Yoshiharu Ishikawa

We derive estimators of the density of the event times of current status data. The estimators are derived for the situations where the distribution of the observation times is known and where this distribution is unknown. The density…

Statistics Theory · Mathematics 2017-07-04 Bert van Es , Catharina Elisabeth Graafland

Continual learning (CL) in deep neural networks (DNNs) involves incrementally accumulating knowledge in a DNN from a growing data stream. A major challenge in CL is that non-stationary data streams cause catastrophic forgetting of…

Machine Learning · Computer Science 2024-05-02 Md Yousuf Harun , Jhair Gallardo , Junyu Chen , Christopher Kanan

Modern deep recommender models are trained under a continual learning paradigm, relying on massive and continuously growing streaming behavioral logs. In large-scale platforms, retraining models on full historical data for architecture…

Information Retrieval · Computer Science 2026-03-27 Jiaqing Zhang , Hao Wang , Mingjia Yin , Bo Chen , Qinglin Jia , Rui Zhou , Ruiming Tang , ChaoYi Ma , Enhong Chen

We propose a novel approach for density estimation called histogram trend filtering. Our estimator arises from looking at surrogate Poisson model for counts of observations in a partition of the support of the data. We begin by showing…

Methodology · Statistics 2016-02-09 Oscar Hernan Madrid Padilla , James G. Scott

Kernel density estimation (KDE) stands out as a challenging task in machine learning. The problem is defined in the following way: given a kernel function $f(x,y)$ and a set of points $\{x_1, x_2, \cdots, x_n \} \subset \mathbb{R}^d$, we…

Machine Learning · Computer Science 2024-02-15 Jiehao Liang , Zhao Song , Zhaozhuo Xu , Junze Yin , Danyang Zhuo

Graph embedding (GE) methods embed nodes (and/or edges) in graph into a low-dimensional semantic space, and have shown its effectiveness in modeling multi-relational data. However, existing GE models are not practical in real-world…

Machine Learning · Computer Science 2020-11-25 Xiaoyu Kou , Yankai Lin , Shaobo Liu , Peng Li , Jie Zhou , Yan Zhang

Addressing the challenges of irregularity and concept drift in streaming time series is crucial for real-world predictive modelling. Previous studies in time series continual learning often propose models that require buffering long…

Machine Learning · Computer Science 2025-04-10 Futoon M. Abushaqra , Hao Xue , Yongli Ren , Flora D. Salim

The cumulative residual extropy (CRJ) is a measure of uncertainty that serves as an alternative to extropy. It replaces the probability density function with the survival function in the expression of extropy. This work introduces a new…

Methodology · Statistics 2024-07-17 Gaurav Kandpal , Nitin Gupta

In the streaming data setting, where data arrive continuously or in frequent batches and there is no pre-determined amount of total data, Bayesian models can employ recursive updates, incorporating each new batch of data into the model…

Computation · Statistics 2024-12-09 Ian Taylor , Andee Kaplan , Brenda Betancourt

Ordinary differential equations (ODEs), via their induced flow maps, provide a powerful framework to parameterize invertible transformations for the purpose of representing complex probability distributions. While such models have achieved…

Statistics Theory · Mathematics 2023-09-06 Youssef Marzouk , Zhi Ren , Sven Wang , Jakob Zech

Anomaly subsequence detection is to detect inconsistent data, which always contains important information, among time series. Due to the high dimensionality of the time series, traditional anomaly detection often requires a large time…

Machine Learning · Computer Science 2019-07-02 Chunkai Zhang , Yingyang Chen , Ao Yin