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math.NA2024
Reflective block Kaczmarz algorithms for least squares
Changpeng Shao
In [Steinerberger, Q. Appl. Math., 79:3, 419-429, 2021] and [Shao, SIAM J. Matrix Anal. Appl. 44(1), 212-239, 2023], two new types of Kaczmarz algorithms, which share some similari…
quant-ph2024
Quantum spectral method for gradient and Hessian estimation
Yuxin Zhang, Changpeng Shao
Gradient descent is one of the most basic algorithms for solving continuous optimization problems. In [Jordan, PRL, 95(5):050501, 2005], Jordan proposed the first quantum algorithm…
quant-ph2024★ 1 cited
Lower bounds for quantum-inspired classical algorithms via communication complexity
Nikhil S. Mande, Changpeng Shao
Quantum-inspired classical algorithms provide us with a new way to understand the computational power of quantum computers for practically-relevant problems, especially in machine…