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math.DS2022★ 5 cited
An efficient quantum algorithm for simulating polynomial differential equations
Amit Surana, Abeynaya Gnanasekaran, Tuhin Sahai
We present an efficient quantum algorithm to simulate nonlinear differential equations with polynomial vector fields of arbitrary degree on quantum platforms. Models of physical sy…
cs.LG2022★ 5 cited
A Dynamic Mode Decomposition Approach for Decentralized Spectral Clustering of Graphs
Hongyu Zhu, Stefan Klus, Tuhin Sahai
We propose a novel robust decentralized graph clustering algorithm that is provably equivalent to the popular spectral clustering approach. Our proposed method uses the existing wa…