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Related Concept Videos

Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
Vectors in Space: Problem Solving01:26

Vectors in Space: Problem Solving

A chandelier suspended by multiple cables can be analyzed using principles of three-dimensional static equilibrium. In this setup, a chandelier weighing 1000 N is positioned at the origin of a three-dimensional coordinate system, while three ceiling anchor points are fixed at known locations above it. Each cable connects the chandelier to one anchor point and transmits a tensile force along its length.To find out the forces in the cables, the spatial direction of each cable must first be...
Two-Dimensional Force System: Problem Solving01:29

Two-Dimensional Force System: Problem Solving

Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
The first step to solving a two-dimensional force system problem is to draw a free-body diagram of the object under consideration. This diagram helps identify all the external forces acting on the object, including their...
Vectors in 2D: Problem Solving01:29

Vectors in 2D: Problem Solving

A plane traveling due north at 180 km/h in still air was found to be 80 km off-course after 30 minutes, deviating approximately 5 degrees east of north. This deviation means the influence of a crosswind alters the plane’s intended trajectory. The actual ground path formed a diagonal, suggesting that the aircraft’s effective ground speed was reduced to 160 km/h and directed slightly to the east due to the wind.By analyzing the displacement from the intended path, the velocity contributed by the...
Collisions in Multiple Dimensions: Introduction01:05

Collisions in Multiple Dimensions: Introduction

It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a problem,...
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...

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Related Experiment Video

Updated: Jun 27, 2026

The Double-H Maze: A Robust Behavioral Test for Learning and Memory in Rodents
09:01

The Double-H Maze: A Robust Behavioral Test for Learning and Memory in Rodents

Published on: July 8, 2015

GR-MAPPO Algorithm for Perimeter Defense Problem in Multi-Agent Systems.

Huihui Tan1, Shuang Zhang1, Shiwei Lin1

  • 1College of Computer Engineering, Jimei University, Xiamen 361021, China.

Entropy (Basel, Switzerland)
|June 26, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a new multi-agent reinforcement learning strategy for unmanned swarms. The approach enhances coordination and adaptability in perimeter defense, even with limited communication and changing swarm sizes.

Keywords:
deep learningmulti-agent systemperimeter defensereinforcement learning

Related Experiment Videos

Last Updated: Jun 27, 2026

The Double-H Maze: A Robust Behavioral Test for Learning and Memory in Rodents
09:01

The Double-H Maze: A Robust Behavioral Test for Learning and Memory in Rodents

Published on: July 8, 2015

Area of Science:

  • Robotics
  • Artificial Intelligence
  • Control Systems

Background:

  • Multi-agent perimeter defense is crucial for unmanned swarms.
  • Existing deep reinforcement learning methods struggle with coordination, temporal information, and scalability under communication constraints.
  • Dynamic variations in swarm size pose generalization challenges.

Purpose of the Study:

  • To propose a novel multi-agent reinforcement learning (MARL) strategy for perimeter defense in unmanned swarms.
  • To enhance coordination and temporal information processing under local communication constraints.
  • To improve generalization capability across dynamic swarm sizes.

Main Methods:

  • Implemented a GraphSAGE-based spatial aggregation module for enhanced inter-agent information exchange.
  • Utilized a GRU-based temporal encoding module to process historical observations for improved anticipation.
  • Employed an inductive node-level aggregation mechanism to ensure scalability and adaptability to varying swarm sizes.

Main Results:

  • The proposed GR-MAPPO strategy significantly improved capture performance under limited communication.
  • Demonstrated enhanced coordination and anticipatory capabilities.
  • Showcased superior performance retention during cross-scale transfers across different swarm scales.

Conclusions:

  • The integrated spatial and temporal modeling approach effectively addresses limitations of existing MARL methods in swarm defense.
  • The proposed method offers a scalable and adaptable solution for dynamic multi-agent perimeter defense scenarios.
  • This research advances the cooperative defense capabilities of unmanned swarms in complex operational environments.