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quant-ph2022★ 2 cited
Faster Stochastic First-Order Method for Maximum-Likelihood Quantum State Tomography
Chung-En Tsai, Hao-Chung Cheng, Yen-Huan Li
In maximum-likelihood quantum state tomography, both the sample size and dimension grow exponentially with the number of qubits. It is therefore desirable to develop a stochastic f…
stat.ML2022★ 1 cited
Online Self-Concordant and Relatively Smooth Minimization, With Applications to Online Portfolio Selection and Learning Quantum States
Chung-En Tsai, Hao-Chung Cheng, Yen-Huan Li
Consider an online convex optimization problem where the loss functions are self-concordant barriers, smooth relative to a convex function , and possibly non-Lipschitz. We analy…