Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Sign Test for Nominal Data01:12

Sign Test for Nominal Data

The sign test is a nonparametric method used to evaluate hypotheses about the median of a single sample or to compare the medians of two related samples. The sign test is particularly useful when dealing with nominal data, which includes distinct categories without an inherent order, such as names, labels, and preferences. Nominal data restricts statistical analysis to evaluating population proportions rather than mean or median values that require continuous data.
For example, consider a...
Random Error01:04

Random Error

Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
Introduction to the Sign Test01:10

Introduction to the Sign Test

The sign test is an important tool in nonparametric statistics, offering a straightforward yet effective method for analyzing matched pairs, nominal data, or hypotheses concerning the median of a population. It transforms data points into positive or negative signs, avoiding the need for assumptions about data distribution and instead focusing on the direction of change. It is particularly valuable when data does not conform to the normal distribution requirements of many parametric tests. For...
Sign Test for Median of Single Population01:20

Sign Test for Median of Single Population

In general, the sign test serves as a nonparametric method to test hypotheses about the median of a single population when the data does not follow a known distribution. This simplicity makes it particularly useful for small sample sizes or when the assumptions of parametric tests cannot be met. The process begins with identifying a null hypothesis, typically stating that the population median equals a specific value. The alternative hypothesis could be that the median is either not equal to,...
Survey Safety01:28

Survey Safety

Surveying near highways, rough terrain, or power lines involves significant risks. Working along highways is particularly dangerous and requires the use of warning signs and flagmen. It is safest to avoid working directly on roads and use offsets whenever possible. When highway work is unavoidable, it must follow all safety guidelines. Surveyors should wear bright clothing, such as orange reflective vests, to ensure visibility to motorists, coworkers, and hunters. In construction zones, wearing...
Errors and Mistakes in Surveying01:19

Errors and Mistakes in Surveying

Errors and mistakes in surveying refer to inaccuracies in measurements and data recording. The errors are deviations from the actual value caused by human sensory limitations, equipment flaws, or environmental effects. These errors are typically unintentional and can result from the inherent imperfections in the instruments used, atmospheric conditions, or the observer’s inability to perceive exact measurements. On the other hand, mistakes are caused by the surveyor's lack of attention,...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Weyl Fermions on a Finite Lattice.

Physical review letters·2024
Same author

Chiral Gauge Theory at the Boundary between Topological Phases.

Physical review letters·2024
Same author

Index Theorems, Generalized Hall Currents, and Topology for Gapless Defect Fermions.

Physical review letters·2022
Same author

Improving deconvolution methods in biology through open innovation competitions: an application to the connectivity map.

Bioinformatics (Oxford, England)·2021
Same author

Development of a Deep Learning Algorithm for Periapical Disease Detection in Dental Radiographs.

Diagnostics (Basel, Switzerland)·2020
Same author

Fractional Quantum Hall Effect in a Relativistic Field Theory.

Physical review letters·2020
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: May 26, 2026

Evaluation of an Exclusive Spur Dike U-Turn Design with Radar-Collected Data and Simulation
11:41

Evaluation of an Exclusive Spur Dike U-Turn Design with Radar-Collected Data and Simulation

Published on: February 1, 2020

Noise, sign problems, and statistics.

Michael G Endres1, David B Kaplan, Jong-Wan Lee

  • 1Theoretical Research Division, RIKEN Nishina Center, Wako, Saitama, Japan. endres@riken.jp

Physical Review Letters
|December 21, 2011
PubMed
Summary
This summary is machine-generated.

Sign problems in many-body simulations create heavy-tailed distributions. A new statistical method effectively extracts ground state energies, overcoming these simulation challenges.

More Related Videos

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
14:55

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street

Published on: January 20, 2023

Related Experiment Videos

Last Updated: May 26, 2026

Evaluation of an Exclusive Spur Dike U-Turn Design with Radar-Collected Data and Simulation
11:41

Evaluation of an Exclusive Spur Dike U-Turn Design with Radar-Collected Data and Simulation

Published on: February 1, 2020

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
14:55

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street

Published on: January 20, 2023

Area of Science:

  • Computational Physics
  • Quantum Many-Body Systems

Background:

  • Sign problems hinder accurate simulations of quantum many-body systems.
  • These problems can lead to heavy-tailed correlator distributions, mirroring phenomena in electron transport through disordered materials.

Purpose of the Study:

  • To demonstrate the connection between sign problems and heavy-tailed distributions in many-body simulations.
  • To propose and validate a novel statistical approach for determining ground state energies in systems affected by sign problems.

Main Methods:

  • Analysis of correlator distributions in many-body simulations.
  • Development of an alternative statistical method for energy extraction.
  • Application of the method to a theoretical toy model and lattice data for unitary fermions.

Main Results:

  • Established that sign problems manifest as heavy-tailed correlator distributions.
  • Successfully extracted ground state energies using the proposed statistical approach.
  • Validated the method's efficacy on both model and experimental lattice data.

Conclusions:

  • The proposed statistical method offers a viable solution for extracting ground state energies in the presence of sign problems.
  • This work provides a new perspective on understanding and mitigating sign problem artifacts in computational physics.