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We present an identity for an unbiased estimate of a general statistical distribution. The identity computes the distribution density from dividing a histogram sum over a local window by a correction factor from a mean-force integral, and…

Computational Physics · Physics 2012-06-04 Cheng Zhang , Jianpeng Ma

Most statistical agencies release randomly selected samples of Census microdata, usually with sample fractions under 10% and with other forms of statistical disclosure control (SDC) applied. An alternative to SDC is data synthesis, which…

Cryptography and Security · Computer Science 2022-07-08 Claire Little , Mark Elliot , Richard Allmendinger

A scalable graphical method is presented for selecting, and partitioning datasets for the training phase of a classification task. For the heuristic, a clustering algorithm is required to get its computation cost in a reasonable proportion…

Machine Learning · Computer Science 2019-07-25 Sumedh Yadav , Mathis Bode

As a fundamental topic in graph mining, Densest Subgraph Discovery (DSD) has found a wide spectrum of real applications. Several DSD algorithms, including exact and approximation algorithms, have been proposed in the literature. However,…

Databases · Computer Science 2024-06-10 Yingli Zhou , Qingshuo Guo , Yi Yang , Yixiang Fang , Chenhao Ma , Laks Lakshmanan

Legacy spreadsheets are both, an asset, and an enduring problem concerning spreadsheets in business. To make spreadsheets stay alive and remain correct, comprehension of a given spreadsheet is highly important. Visualization techniques…

Software Engineering · Computer Science 2008-09-19 Karin Hodnigg , Roland T. Mittermeir

We examine the problem of computing multivariate scenarios sets for skewed distributions. Our interest is motivated by the potential use of such sets in the "stress testing" of insurance companies and banks whose solvency is dependent on…

Statistics Theory · Mathematics 2014-02-05 Emanuele Giorgi , Alexander J. McNeil

In this paper, we present a novel data structure, called the Mixture Graph. This data structure allows us to compress, render, and query segmentation histograms. Such histograms arise when building a mipmap of a volume containing…

Graphics · Computer Science 2020-09-08 Khaled Al-Thelaya , Marco Agus , Jens Schneider

We introduce an innovative method for incremental nonparametric probabilistic inference in high-dimensional state spaces. Our approach leverages \slices from high-dimensional surfaces to efficiently approximate posterior distributions of…

Artificial Intelligence · Computer Science 2024-05-28 Moshe Shienman , Ohad Levy-Or , Michael Kaess , Vadim Indelman

Dynamic novel view synthesis (NVS) is essential for creating immersive experiences. Existing approaches have advanced dynamic NVS by introducing 3D Gaussian Splatting (3DGS) with implicit deformation fields or indiscriminately assigned…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Kaizhe Zhang , Yijie Zhou , Weizhan Zhang , Caixia Yan , Haipeng Du , yugui xie , Yu-Hui Wen , Yong-Jin Liu

In the present work we have selected a collection of statistical and mathematical tools useful for the exploration of multivariate data and we present them in a form that is meant to be particularly accessible to a classically trained…

Statistics Theory · Mathematics 2010-09-01 Magnus Fontes

In every country, public and private agencies allocate extensive funding to collect large-scale statistical data, which in turn are studied and analyzed in order to determine local, regional, national, and international policies regarding…

Physics and Society · Physics 2015-06-05 Karina I. Mazzitello , Julián Candia

The future of computing systems is inevitably embracing a disaggregated and composable pattern: from clusters of computers to pools of resources that can be dynamically combined together and tailored around applications requirements.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-02 Christian Pinto , Dong Li , Thaleia Dimitra Doudali , Christina Giannoula , Jie Ren

Many datasets are underspecified: there exist multiple equally viable solutions to a given task. Underspecification can be problematic for methods that learn a single hypothesis because different functions that achieve low training loss can…

Machine Learning · Computer Science 2023-02-22 Yoonho Lee , Huaxiu Yao , Chelsea Finn

Interactive visualizations are crucial in ad hoc data exploration and analysis. However, with the growing number of massive datasets, generating visualizations in interactive timescales is increasingly challenging. One approach for…

Databases · Computer Science 2017-01-25 Yongjoo Park , Michael Cafarella , Barzan Mozafari

Multivariate data is often visualized using linear projections, produced by techniques such as principal component analysis, linear discriminant analysis, and projection pursuit. A problem with projections is that they obscure low and high…

Computation · Statistics 2022-03-28 Ursula Laa , Dianne Cook , Andreas Buja , German Valencia

Symbolic Data Analysis works with variables for which each unit or class of units takes a finite set of values/categories, an interval or a distribution (an histogram, for instance). When to each observation corresponds an empirical…

Methodology · Statistics 2013-05-01 Sónia Dias , Paula Brito

Multivariate density estimation and graphical models play important roles in statistical learning. The estimated density can be used to construct a graphical model that reveals conditional relationships whereas a graphical structure can be…

Methodology · Statistics 2019-04-02 Runfei Luo , Anna Liu , Yuedong Wang

Unimodality constitutes a key property indicating grouping behavior of the data around a single mode of its density. We propose a method that partitions univariate data into unimodal subsets through recursive splitting around valley points…

Machine Learning · Computer Science 2024-12-23 Paraskevi Chasani , Aristidis Likas

We give a highly efficient "semi-agnostic" algorithm for learning univariate probability distributions that are well approximated by piecewise polynomial density functions. Let $p$ be an arbitrary distribution over an interval $I$ which is…

Machine Learning · Computer Science 2013-05-15 Siu-On Chan , Ilias Diakonikolas , Rocco A. Servedio , Xiaorui Sun

Advances in generative modeling have recently been adapted to tabular data containing discrete and continuous features. However, generating mixed-type features that combine discrete states with an otherwise continuous distribution in a…

Machine Learning · Computer Science 2026-05-14 Markus Mueller , Kathrin Gruber , Dennis Fok
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