Evidence map›Paper›PMID 37483660›Full record

ArticleSN computer science2022

Interactive Visualization and Computation of 2D and 3D Probability Distributions.

Mark Bobrovnikov, Jared Tianyi Chai, Ivo D Dinov

Abstract read
In one paragraph

Article in SN computer science, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Mark BobrovnikovStatistics Online Computational Resource (SOCR) University of Michigan, Ann Arbor, MI 48109, USA https://socr.umich.edu.
Jared Tianyi ChaiStatistics Online Computational Resource (SOCR) University of Michigan, Ann Arbor, MI 48109, USA https://socr.umich.edu.
Ivo D DinovStatistics Online Computational Resource (SOCR) University of Michigan, Ann Arbor, MI 48109, USA https://socr.umich.edu.

Funding

Michigan Institute for Clinical and Health Research (MICHR)UL1TR002240 · NCATS · UNIVERSITY OF MICHIGAN AT ANN ARBOR · PI LUMENG, JULIE C, MASHOUR, GEORGE ALEXANDER · 2017 to 2022
$54.9M
Michigan Institute for Clinical and Health Research (MICHR)UM1TR004404 · NCATS · UNIVERSITY OF MICHIGAN AT ANN ARBOR · PI Julie C Lumeng · 2023 to 2026
$39.8M
COVID-19 supplement to a computational examination of threat and reward constructs in a predominantly low-income, longitudinal sample at increased risk for internalizing disordersR01MH121079 · NIMH · UNIVERSITY OF MICHIGAN AT ANN ARBOR · PI HYDE, LUKE WILLIAMSON, MITCHELL, COLTER M.S. · 2019 to 2024
$7.2M
Digital behavioral phenotyping and multi-region electrophysiology to determine behavioral and neural network changes underlying the stress response in miceR01MH126137 · NIMH · UNIVERSITY OF MICHIGAN AT ANN ARBOR · PI WATSON, BRENDON O · 2021 to 2025
$3.3M
Biomedical Informatics and Data Science Training Program (BIDS-TP)T32GM141746 · NIGMS · UNIVERSITY OF MICHIGAN AT ANN ARBOR · PI Ivo D Dinov, RYAN E MILLS · 2021 to 2026
$2.6M
Optimal Decision Making in Radiotherapy Using Panomics AnalyticsR01CA233487 · NCI · UNIVERSITY OF MICHIGAN AT ANN ARBOR · PI EL NAQA, ISSAM M. · 2019 to 2023
$2.4M
Pilot Projects CoreP20NR015331 · NINR · UNIVERSITY OF MICHIGAN AT ANN ARBOR · PI LARSON, JANET L. · 2014 to 2018
$1.3M
NCATS NIH HHS UL1 TR002240NCATS NIH HHS UM1 TR004404NCI NIH HHS R01 CA233487NIGMS NIH HHS T32 GM141746NIMH NIH HHS R01 MH121079NIMH NIH HHS R01 MH126137NINR NIH HHS P20 NR015331
6 · The paper itself

Abstract

Purpose: Mathematical modeling, probability estimation, and statistical inference represent core elements of modern artificial intelligence (AI) approaches for data-driven prediction, forecasting, classification, risk-estimation, and prognosis. Currently there are many tools that help calculate and visualize univariate probability distributions, however, very few resources venture beyond into multivariate distributions, which are commonly used in advanced statistical inference and AI decision-making. This article presents a new web-calculator that enables some calculation and visualization of bivariate and trivariate probability distributions. Methods: Several methods are explored to compute the joint bivariate and trivariate probability densities, including the optimal multivariate modeling using Gaussian copula. We developed an interactive webapp to visually illustrate the parallels between the mathematical formulation, computational implementation, and graphical depiction of multivariate probability density and cumulative distribution functions. To ensure the interface and functionality are hardware platform independent, scalable, and functional, the app and its component widgets are implemented using HTML5 and JavaScript. Results: We validated the webapp by testing the multivariate copula models under different experimental conditions and inspecting the performance in terms of accuracy and reliability of the estimated multivariate probability densities and distribution function values. Conclusion: This article demonstrates the construction, implementation, and utilization of multivariate probability calculators. The proposed webapp implementation is freely available online (https://socr.umich.edu/HTML5/BivariateNormal/BVN2/) and can be used to assist with education and research of a diverse array of data scientists, STEM instructors, and AI learners.

Indexed as

AI/MLcopulacumulative distributioneducationmultivariate distributionprobability densityprobability distributionstatistics

Identifiers

PMID37483660
PMCPMC10361712

What OpenQuestion holds

Textmetadata
LicenceTDM
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.