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

Types of Errors: Detection and Minimization01:12

Types of Errors: Detection and Minimization

11.5K
Error is the deviation of the obtained result from the true, expected value or the estimated central value. Errors are expressed in absolute or relative terms.
Absolute error in a measurement is the numerical difference from the true or central value. Relative error is the ratio between absolute error and the true or central value, expressed as a percentage.
Errors can be classified by source, magnitude, and sign. There are three types of errors: systematic, random, and gross.
Systematic or...
11.5K
Pharmaceutical Equivalents01:26

Pharmaceutical Equivalents

209
As defined by regulatory standards, pharmaceutical equivalents require generic drug products to have identical dosage forms and chemically identical active pharmaceutical ingredients (APIs). They must adhere to compendial or applicable standards for potency, content uniformity, disintegration times, and dissolution rates. In the case of modified-release dosage forms, variations in drug content are permissible as long as the delivered amount remains consistent with the innovator drug product.
209
Equivalent Capacitance01:19

Equivalent Capacitance

2.2K
Multiple capacitors can be connected in a circuit in series or parallel configuration. When the capacitor combination is connected to a battery, the potential drop across each capacitor and the magnitude of charge stored in the individual capacitor depends on the type of the connection. The capacitor combination is replaced by a single equivalent capacitor that stores the same amount of charge as the combination for a given potential difference.
The following strategies are adopted to calculate...
2.2K
Equivalent Capacitance01:19

Equivalent Capacitance

729
From the study of resistive circuits, it is understood that employing a series-parallel combination serves as an effective strategy for simplifying circuits. Capacitors can be arranged within a circuit in one of two ways: a series configuration or a parallel configuration. The way these capacitors are connected to a battery will influence both the potential drop across each individual capacitor and the size of the charge that each capacitor can store. This is determined by the specific type of...
729
Relationship Formation02:12

Relationship Formation

46.3K
What do you think is the single most influential factor in determining with whom you become friends and whom you form romantic relationships? You might be surprised to learn that the answer is simple: the people with whom you have the most contact. This most important factor is proximity. You are more likely to be friends with people you have regular contact with. For example, there are decades of research that shows that you are more likely to become friends with people who live in your dorm,...
46.3K
Th&#233venin Equivalent Circuits01:18

Thévenin Equivalent Circuits

701
The household power distribution system, encompassing distribution lines and transformers, serves as the primary network. Electrical appliances within a household can be represented as load impedance. To simplify this intricate distribution system, Thévenin's theorem can be applied to create a Thévenin equivalent circuit. If an AC circuit is partitioned into two parts (circuit A and circuit B), connected by a single pair of terminals as shown in Figure 1.
701

You might also read

Related Articles

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

Sort by
Same author

vSTMD: Visual Motion Detection for Extremely Tiny Target at Various Velocities.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same author

Synergistic pulsed electrocatalysis enables green and efficient synthesis of nylon monomer adipic acid.

Nature communications·2026
Same author

Temporal knowledge graph reasoning using global and recent history information.

Scientific reports·2026
Same author

Resonance-Dependent Pattern Dynamics in a Neural Field for Spatial Coding.

Biomimetics (Basel, Switzerland)·2026
Same author

Continuous attractor dynamics in spatial navigation: from population geometry to flexible computation.

Frontiers in neuroscience·2026
Same author

Pulsed Electrolysis Prevents Sulfur Poisoning for Sustained Sulfide Valorization.

Advanced materials (Deerfield Beach, Fla.)·2026

Related Experiment Video

Updated: Feb 16, 2026

Minimal Erythema Dose MED Testing
06:24

Minimal Erythema Dose MED Testing

Published on: May 28, 2013

42.9K

Analysis of the equivalence relationship between -minimization and -minimization.

Changlong Wang1, Jigen Peng1

  • 1School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi 710049 China.

Journal of Inequalities and Applications
|January 5, 2018
PubMed
Summary

Researchers present an analytic expression for L0-minimization, simplifying the NP-hard L1-minimization problem. This breakthrough allows exact recovery of k-sparse vectors under specific conditions, making complex signal recovery more accessible.

Keywords:
null space constantnull space propertysparse recovery

More Related Videos

Author Spotlight: Development of a Minimally Invasive Large-Animal Model for Reliable and Reproducible Cardiovascular Research
06:51

Author Spotlight: Development of a Minimally Invasive Large-Animal Model for Reliable and Reproducible Cardiovascular Research

Published on: October 20, 2023

1.7K
Minimally Invasive Transverse Aortic Constriction in Mice
07:40

Minimally Invasive Transverse Aortic Constriction in Mice

Published on: March 14, 2017

21.7K

Related Experiment Videos

Last Updated: Feb 16, 2026

Minimal Erythema Dose MED Testing
06:24

Minimal Erythema Dose MED Testing

Published on: May 28, 2013

42.9K
Author Spotlight: Development of a Minimally Invasive Large-Animal Model for Reliable and Reproducible Cardiovascular Research
06:51

Author Spotlight: Development of a Minimally Invasive Large-Animal Model for Reliable and Reproducible Cardiovascular Research

Published on: October 20, 2023

1.7K
Minimally Invasive Transverse Aortic Constriction in Mice
07:40

Minimally Invasive Transverse Aortic Constriction in Mice

Published on: March 14, 2017

21.7K

Area of Science:

  • Signal Processing Theory
  • Computational Mathematics
  • Optimization

Background:

  • L0-minimization is a crucial mathematical model in signal processing.
  • L0-minimization is an NP-hard problem, posing significant computational challenges.
  • L1-minimization is a common approach to approximate L0-minimization.

Purpose of the Study:

  • To derive an analytic expression for L0-minimization.
  • To establish conditions under which L1-minimization is equivalent to L0-minimization.
  • To provide a computationally efficient method for sparse signal recovery.

Main Methods:

  • Formulating an analytic expression for L0-minimization.
  • Expressing L0-minimization in terms of matrix dimension, eigenvalues, and vectors.
  • Analyzing the conditions for exact recovery of k-sparse vectors.

Main Results:

  • An analytic expression for L0-minimization was derived.
  • L0-minimization is equivalent to L1-minimization when k is less than or equal to a specific threshold.
  • The derived expression and its components are easily calculable.

Conclusions:

  • The study provides a significant theoretical advancement in understanding L0-minimization.
  • The findings simplify the NP-hard L1-minimization problem, enabling exact sparse signal recovery.
  • The presented analytic expression offers practical advantages due to its ease of computation.