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In this paper, we describe a method for estimating the joint probability density from data samples by assuming that the underlying distribution can be decomposed as a mixture of product densities with few mixture components. Prior works…

机器学习 · 统计学 2023-04-19 Pranava Singhal , Waqar Mirza , Ajit Rajwade , Karthik S. Gurumoorthy

Many cultural traits characterizing intelligent behaviors are now thought to be transmitted through statistical learning, motivating us to study its effects on cultural evolution. We conduct a large-scale music data analysis and observe…

物理与社会 · 物理学 2021-09-29 Eita Nakamura

In many applications, data can be heterogeneous in the sense of spanning latent groups with different underlying distributions. When predictive models are applied to such data the heterogeneity can affect both predictive performance and…

机器学习 · 统计学 2022-05-04 Thomas Lartigue , Sach Mukherjee

Estimating mutual information from observed samples is a basic primitive, useful in several machine learning tasks including correlation mining, information bottleneck clustering, learning a Chow-Liu tree, and conditional independence…

信息论 · 计算机科学 2018-10-11 Weihao Gao , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

Collecting multiple types of data on the same set of subjects is common in modern scientific applications including, genomics, metabolomics, and neuroimaging. Joint and Individual Variance Explained (JIVE) seeks a low-rank approximation of…

机器学习 · 统计学 2026-03-16 Raphiel J. Murden , Ganzhong Tian , Deqiang Qiu , Benajmin B. Risk

The measurement of joint signal-idler photon-number distribution of a field obtained from spontaneous parametric downconversion using an intensified CCD camera is presented. It is shown that a classicality criterion is violated directly by…

量子物理 · 物理学 2015-05-13 Ondrej Haderka , Jan Perina , Martin Hamar

While conformal predictors reap the benefits of rigorous statistical guarantees on their error frequency, the size of their corresponding prediction sets is critical to their practical utility. Unfortunately, there is currently a lack of…

机器学习 · 统计学 2024-03-12 Guneet S. Dhillon , George Deligiannidis , Tom Rainforth

A new unimodal distribution family indexed by the mode and three other parameters is derived from a mixture of a Gumbel distribution for the maximum and a Gumbel distribution for the minimum. Properties of the proposed distribution are…

统计方法学 · 统计学 2024-07-02 Qingyang Liu , Xianzheng Huang , Haiming Zhou

Medical imaging classifiers can achieve high predictive accuracy, but quantifying their uncertainty remains an unresolved challenge, which prevents their deployment in medical clinics. We present an algorithm that can modify any classifier…

机器学习 · 计算机科学 2024-08-12 Roy Hirsch , Jacob Goldberger

In systems biology, it is common to measure biochemical entities at different levels of the same biological system. One of the central problems for the data fusion of such data sets is the heterogeneity of the data. This thesis discusses…

基因组学 · 定量生物学 2019-08-27 Yipeng Song

A single joinpoint changepoint model partitions a time series into two segments, joined at the changepoint time by constraining the estimated piecewise linear regression responses to be continuous. This manuscript derives the exact…

统计方法学 · 统计学 2025-11-26 Xueheng Shi , Robert Lund

Consider a random sample $X_1 , X_2 , ..., X_n$ drawn independently and identically distributed from some known sampling distribution $P_X$. Let $X_{(1)} \le X_{(2)} \le ... \le X_{(n)}$ represent the order statistics of the sample. The…

信息论 · 计算机科学 2020-09-28 Alex Dytso , Martina Cardone , Cynthia Rush

The properties of decays that take place during jet formation cannot be easily deduced from the final distribution of particles in a detector. In this work, we first simulate a system of particles with well defined masses, decay channels,…

计算物理 · 物理学 2022-01-19 Marko Jercic , Ivan Jercic , Nikola Poljak

By the method of Poissonization we confirm some existing results concerning consistent estimation of the structural distribution function in the situation of a large number of rare events. Inconsistency of the so called natural estimator is…

统计理论 · 数学 2007-06-13 Bert van Es , Stamatis Kolios

We present a comprehensive insight into counting distributions from the perspective of the combinants extracted from them. In particular, we focus on cases where these combinants exhibit oscillatory behavior that can provide an invaluable…

高能物理 - 唯象学 · 物理学 2021-05-26 Grzegorz Wilk , Zbigniew Włodarczyk

Joint distributions over many variables are frequently modeled by decomposing them into products of simpler, lower-dimensional conditional distributions, such as in sparsely connected Bayesian networks. However, automatically learning such…

机器学习 · 计算机科学 2013-01-07 Scott Davies , Andrew Moore

Excitement at the prospect of using data-driven generative models to sample configurational ensembles of biomolecular systems stems from the extraordinary success of these models on a diverse set of high-dimensional sampling tasks. Unlike…

统计力学 · 物理学 2024-02-06 Shriram Chennakesavalu , Grant M. Rotskoff

Recent developments in extracting and processing biological and clinical data are allowing quantitative approaches to studying living systems. High-throughput sequencing, expression profiles, proteomics, and electronic health records are…

定量方法 · 定量生物学 2010-10-22 Vladimir Trifonov , Laura Pasqualucci , Riccardo Dalla-Favera , Raul Rabadan

In clinical settings, we often face the challenge of building prediction models based on small observational data sets. For example, such a data set might be from a medical center in a multi-center study. Differences between centers might…

Given the clinical notes written in electronic health records (EHRs), it is challenging to predict the diagnostic codes which is formulated as a multi-label classification task. The large set of labels, the hierarchical dependency, and the…

计算与语言 · 计算机科学 2021-06-25 Shang-Chi Tsai , Chao-Wei Huang , Yun-Nung Chen