8 citations · 10 across the 9 of their papers we have counts for
8 papers
Generating Hadamard matrices with transformers
Geordie Williamson, Oded Yacobi, Paul Zinn-Justin
We present a new method for constructing Hadamard matrices that combines transformer neural networks with local search in the PatternBoost framework. Our approach is designed for e…
Hybrid pipe dreams for the lower-upper scheme
Allen Knutson, Paul Zinn-Justin
In [KU23] were introduced hybrid pipe dreams interpolating between classic and bumpless pipe dreams, each hybridization giving a different formula for double Schubert polynomials.…
Generic pipe dreams, lower-upper varieties, and Schwartz-MacPherson classes
Allen Knutson, Paul Zinn-Justin
We recall the lower-upper varieties from [Knutson '05] and give a formula for their equivariant cohomology classes, as a sum over generic pipe dreams. We recover as limits the clas…
A uniform trigonometric R-matrix for the exceptional series
Bruce W. Westbury, Paul Zinn-Justin
The exceptional series is a finite list of points on a projective line with a simple Lie algebra attached to each point. This list of Lie algebras includes the five exceptional Lie…
Higher spin representations of the Yangian of and R-matrices
Yaping Yang, Paul Zinn-Justin
We study higher spin (pure and mixed spin) representations of the Yangian of . We provide a geometric realization in terms of the critical cohomology of representa…
Grassmann-Grassmann conormal varieties, integrability, and plane partitions
A. Knutson, P. Zinn-Justin
We give a conjectural formula for sheaves supported on (irreducible) conormal varieties inside the cotangent bundle of the Grassmannian, such that their equivariant -class is gi…