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cs.LG2026
Topological Equivalence of Spectral and Density Cluster Hierarchies
Sajjad Hashemian
We compare two canonical ways to recover hierarchical clustering from an underlying density : the \emph{density cluster tree} given by connected components of superlevel sets $\…
quant-ph2026
Hierarchical Fourier Approximation for Variational Quantum Distribution Learning
Taha Hoseinpour Asli, Sajjad Hashemian, Ebrahim Ardeshir-Larijani
We study variational quantum distribution learning through a hierarchy of Walsh--Fourier approximations on the Boolean cube. At each level, a selected set of target Fourier coeffic…
quant-ph2026
Quantum Sketches, Hashing, and Approximate Nearest Neighbors
Sajjad Hashemian
Motivated by Johnson--Lindenstrauss dimension reduction, amplitude encoding, and the view of measurements as hash-like primitives, one might hope to compress an -point approxima…