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cs.IT2025
Optimization and Identification of Lattice Quantizers
Erik Agrell, Daniel Pook-Kolb, Bruce Allen
Lattices with minimal normalized second moments are designed using a new numerical optimization algorithm. Starting from a random lower-triangular generator matrix and applying sto…
cs.IT2024
Parametric Lattices Are Better Quantizers in Dimensions 13 and 14
Daniel Pook-Kolb, Erik Agrell, Bruce Allen
New lattice quantizers with lower normalized second moments than previously reported are constructed in 13 and 14 dimensions and conjectured to be optimal. Our construction combine…
cs.IT2024
Glued lattices are better quantizers than
Erik Agrell, Daniel Pook-Kolb, Bruce Allen
40 years ago, Conway and Sloane proposed using the highly symmetrical Coxeter-Todd lattice for quantization, and estimated its second moment. Since then, all published lis…