Reformulation of the covering and quantizer problems as ground states of interacting particles

Mathematics

• Cryptography 50%
• Data Compression 50%
• Digital Communication 50%
• Dimensional Data 50%
• Dimensional Euclidean Space 50%
• Dual Solution 50%
• Ground State 100%
• Infinite Number 50%
• Lattices 50%
• Meshing 50%
• Minimization Problem 50%
• Nearest Neighbor 50%
• Neighbour Function 50%
• Number Theory 50%
• Numerical Analysis 50%
• Packing Problem 50%
• Pair Potential 50%
• Parameter Space 50%
• Random Medium 50%
• Space Dimension 50%
• Statistical Mechanics 50%
• Upper Bound 100%
• Variance 100%

Keyphrases

• Body Interaction 25%
• Cryptography 25%
• Data Compression 25%
• Data Parameters 25%
• Digital Communication 25%
• Dual Solutions 25%
• Energy Minimization 50%
• Euclidean Space 25%
• Gravitational Wave Detection 25%
• High-dimensional Data 25%
• Large Dimension 50%
• Lattice Covering 25%
• Meshing 25%
• Minimization Problem 25%
• Nearest Neighbour Function 25%
• Network Layout 25%
• Number of Points 25%
• Number Theory 25%
• Number Variance 50%
• Numerical Analysis 25%
• Numerical Code 25%
• Numerical Optimization Methods 25%
• Optimization Problem 50%
• Pair Potential 25%
• Parameter Space 25%
• Particle Interaction 100%
• Point Particle 25%
• Random Media 25%
• Single Body 25%
• Sphere Packing 100%
• Sphere Packing Problem 25%
• Statistical Mechanics 25%
• Stereotactic Body Radiation Therapy 25%
• Theoretical Optimization 25%
• Thinnest Covering 25%
• Third Space 25%
• Three-body 25%
• Two-body 25%
• Wireless Communication Network 25%