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In real-world scenarios like traffic and energy, massive time-series data with missing values and noises are widely observed, even sampled irregularly. While many imputation methods have been proposed, most of them work with a local…

Machine Learning · Computer Science 2024-06-03 Shikai Fang , Qingsong Wen , Yingtao Luo , Shandian Zhe , Liang Sun

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

Many real-world datasets contain missing entries and mixed data types including categorical and ordered (e.g. continuous and ordinal) variables. Imputing the missing entries is necessary, since many data analysis pipelines require complete…

Methodology · Statistics 2022-10-14 Yuxuan Zhao , Alex Townsend , Madeleine Udell

We consider $K$-means clustering in networked environments (e.g., internet of things (IoT) and sensor networks) where data is inherently distributed across nodes and processing power at each node may be limited. We consider a clustering…

Machine Learning · Computer Science 2019-01-03 Soummya Kar , Brian Swenson

Missing data is a major challenge in clinical research. In electronic medical records, often a large fraction of the values in laboratory tests and vital signs are missing. The missingness can lead to biased estimates and limit our ability…

Machine Learning · Computer Science 2023-04-18 Omer Noy , Ron Shamir

Imputing missing values is an important preprocessing step in data analysis, but the literature offers little guidance on how to choose between different imputation models. This letter suggests adopting the imputation model that generates a…

Methodology · Statistics 2021-07-13 Moritz Marbach

We present simple, user-friendly bounds for the expected operator norm of a random kernel matrix under general conditions on the kernel function $k(\cdot,\cdot)$. Our approach uses decoupling results for U-statistics and the non-commutative…

Machine Learning · Statistics 2025-11-07 Chiraag Kaushik , Justin Romberg , Vidya Muthukumar

This paper presents new methodology for computationally efficient kernel density estimation. It is shown that a large class of kernels allows for exact evaluation of the density estimates using simple recursions. The same methodology can be…

Computation · Statistics 2019-11-12 David P. Hofmeyr

The K-Nearest Neighbor (KNN) join is an expensive but important operation in many data mining algorithms. Several recent applications need to perform KNN join for high dimensional sparse data. Unfortunately, all existing KNN join algorithms…

Databases · Computer Science 2010-11-15 Jijie Wang , Lei Lin , Ting Huang , Jingjing Wang , Zengyou He

Missing data present challenges in data analysis. Naive analyses such as complete-case and available-case analysis may introduce bias and loss of efficiency, and produce unreliable results. Multiple imputation (MI) is one of the most widely…

Methodology · Statistics 2019-05-15 Domonique W. Hodge , Sandra E. Safo , Qi Long

We propose a kernel compression method for solving Distributed-Order (DO) Fractional Partial Differential Equations (DOFPDEs) at the cost of solving corresponding local-in-time PDEs. The key concepts are (1) discretization of the integral…

Numerical Analysis · Mathematics 2025-08-20 Jonas Beddrich , Barbara Wohlmuth

In order to predict and fill in the gaps in categorical datasets, this research looked into the use of machine learning algorithms. The emphasis was on ensemble models constructed using the Error Correction Output Codes framework, including…

Machine Learning · Computer Science 2024-09-13 Muhammad Ishaq , Sana Zahir , Laila Iftikhar , Mohammad Farhad Bulbul , Seungmin Rho , Mi Young Lee

Missing data are inevitable in longitudinal studies. Traditional methods, such as the full information maximum likelihood (FIML), are commonly used to handle ignorable missing data. However, they may lead to biased model estimation due to…

Applications · Statistics 2024-01-01 Dandan Tang , Xin Tong

Identification of charged particles in a multilayer detector by the energy loss technique may also be achieved by the use of a neural network. The performance of the network becomes worse when a large fraction of information is missing, for…

Methodology · Statistics 2020-04-14 S. Riggi , D. Riggi , F. Riggi

Clinical decision support using data mining techniques offers more intelligent way to reduce the decision error in the last few years. However, clinical datasets often suffer from high missingness, which adversely impacts the quality of…

Machine Learning · Computer Science 2020-11-20 Xuetong Wu , Hadi Akbarzadeh Khorshidi , Uwe Aickelin , Zobaida Edib , Michelle Peate

Data analysis usually suffers from the Missing Not At Random (MNAR) problem, where the cause of the value missing is not fully observed. Compared to the naive Missing Completely At Random (MCAR) problem, it is more in line with the…

Machine Learning · Computer Science 2025-05-27 Jialei Chen , Yuanbo Xu , Pengyang Wang , Yongjian Yang

Processed data are insightful, and crude data are obtuse. A serious threat to data reliability is missing values. Such data leads to inaccurate analysis and wrong predictions. We propose an efficient technique to impute the missing value in…

Machine Learning · Computer Science 2021-07-02 Prateek Mishra , Kumar Divya Mani , Prashant Johri , Dikhsa Arya

Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

Methodology · Statistics 2021-10-20 Emily M. Goren , Ranjan Maitra

The state-of-the-art dimensionality reduction approaches largely rely on complicated optimization procedures. On the other hand, closed-form approaches requiring merely eigen-decomposition do not have enough sophistication and nonlinearity.…

Machine Learning · Computer Science 2023-08-14 Chengrui Li , Anqi Wu

We introduce a refined differentially private (DP) data structure for kernel density estimation (KDE), offering not only improved privacy-utility tradeoff but also better efficiency over prior results. Specifically, we study the…

Data Structures and Algorithms · Computer Science 2025-03-25 Erzhi Liu , Jerry Yao-Chieh Hu , Alex Reneau , Zhao Song , Han Liu