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

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

90
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
90
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

107
To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
107
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

329
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
329
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

303
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
303
Divergence and Stokes' Theorems01:06

Divergence and Stokes' Theorems

1.8K
The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...
1.8K
Castigliano's Theorem: Problem Solving01:14

Castigliano's Theorem: Problem Solving

726
The deflection of a simply supported beam that carries a central point load can be analyzed using structural mechanics principles, particularly by applying Castigliano's theorem. This theorem relates the displacement at the load application point to the partial derivatives of the strain energy in the structure. The simply supported beam with a point load at its center has symmetric reaction forces at the supports, each bearing half of the load. The bending moment at any point along the beam...
726

You might also read

Related Articles

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

Sort by
Same author

Anthropogenic noise disrupts early-life development in a fish with paternal care.

The Science of the total environment·2024
Same author

Sympatry and parapatry among rocky reef cichlids of Lake Victoria explained by female mating preferences.

Journal of evolutionary biology·2024
Same author

How sexual and natural selection interact and shape the evolution of nests and nesting behaviour in fishes.

Philosophical transactions of the Royal Society of London. Series B, Biological sciences·2023
Same author

Molecular, behavioural and morphological comparisons of sperm adaptations in a fish with alternative reproductive tactics.

Evolutionary applications·2023
Same author

Invader at the edge - Genomic origins and physiological differences of round gobies across a steep urban salinity gradient.

Evolutionary applications·2023
Same author

Fair colorful <i>k</i>-center clustering.

Mathematical programming·2022
Same journal

A better-than-1.6-approximation for prize-collecting TSP.

Mathematical programming·2026
Same journal

A <math><mrow><mfrac><mn>4</mn> <mn>3</mn></mfrac></mrow></math> -approximation for the maximum leaf spanning arborescence problem in DAGs.

Mathematical programming·2026
Same journal

An FPTAS for Connectivity Interdiction.

Mathematical programming·2026
Same journal

A first order method for linear programming parameterized by circuit imbalance.

Mathematical programming·2026
Same journal

Tight lower bounds for block-structured integer programs.

Mathematical programming·2026
Same journal

Accelerated first-order optimization under nonlinear constraints.

Mathematical programming·2026
See all related articles

Related Experiment Video

Updated: Aug 10, 2025

ExCYT: A Graphical User Interface for Streamlining Analysis of High-Dimensional Cytometry Data
05:12

ExCYT: A Graphical User Interface for Streamlining Analysis of High-Dimensional Cytometry Data

Published on: January 16, 2019

11.5K

Semi-streaming algorithms for submodular matroid intersection.

Paritosh Garg1, Linus Jordan1, Ola Svensson1

  • 1EPFL, Rte Cantonale, 1015 Lausanne, Switzerland.

Mathematical Programming
|February 13, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a new semi-streaming algorithm for weighted matroid intersection, achieving a 1.76-approximation guarantee. This improves upon prior results and extends to submodular maximization problems.

Keywords:
Matroid IntersectionSemi-Streaming AlgorithmsSubmodular Functions

More Related Videos

Selecting Multiple Biomarker Subsets with Similarly Effective Binary Classification Performances
07:35

Selecting Multiple Biomarker Subsets with Similarly Effective Binary Classification Performances

Published on: October 11, 2018

7.6K
Two Algorithms for High-throughput and Multi-parametric Quantification of Drosophila Neuromuscular Junction Morphology
12:29

Two Algorithms for High-throughput and Multi-parametric Quantification of Drosophila Neuromuscular Junction Morphology

Published on: May 3, 2017

10.7K

Related Experiment Videos

Last Updated: Aug 10, 2025

ExCYT: A Graphical User Interface for Streamlining Analysis of High-Dimensional Cytometry Data
05:12

ExCYT: A Graphical User Interface for Streamlining Analysis of High-Dimensional Cytometry Data

Published on: January 16, 2019

11.5K
Selecting Multiple Biomarker Subsets with Similarly Effective Binary Classification Performances
07:35

Selecting Multiple Biomarker Subsets with Similarly Effective Binary Classification Performances

Published on: October 11, 2018

7.6K
Two Algorithms for High-throughput and Multi-parametric Quantification of Drosophila Neuromuscular Junction Morphology
12:29

Two Algorithms for High-throughput and Multi-parametric Quantification of Drosophila Neuromuscular Junction Morphology

Published on: May 3, 2017

10.7K

Area of Science:

  • Combinatorial Optimization
  • Theoretical Computer Science

Background:

  • The greedy algorithm provides a 2-approximation for unweighted matching.
  • Paz and Schwartzman extended this to weighted instances using the local ratio technique.
  • Existing methods failed to achieve a similar guarantee for weighted matroid intersection.

Purpose of the Study:

  • Develop a semi-streaming algorithm for weighted matroid intersection with improved approximation guarantees.
  • Generalize recent results on submodular maximization with matching constraints to matroid intersection constraints.

Main Methods:

  • Adaptation of the local ratio technique.
  • Novel analysis relying on structural properties of matroid intersection, specifically kernels.
  • Extension of techniques to submodular maximization under matroid intersection constraints.

Main Results:

  • A semi-streaming algorithm for weighted matroid intersection with a 1.76-approximation guarantee, surpassing the previous best of 1.5.
  • Generalization of submodular maximization results to matroid intersection constraints.
  • Conjecture of a 1.76-approximation for the intersection of k matroids, with analysis challenges identified.

Conclusions:

  • The developed algorithm significantly advances the state-of-the-art in weighted matroid intersection approximation.
  • The reliance on kernels offers new insights into the structure of matroid intersection problems.
  • Further research is needed to prove the conjectured approximation for k-matroid intersection.