April 12, 2024, 4:42 a.m. | Gabriel Arpino, Xiaoqi Liu, Ramji Venkataramanan

cs.LG updates on arXiv.org arxiv.org

arXiv:2404.07864v1 Announce Type: cross
Abstract: We consider the problem of localizing change points in high-dimensional linear regression. We propose an Approximate Message Passing (AMP) algorithm for estimating both the signals and the change point locations. Assuming Gaussian covariates, we give an exact asymptotic characterization of its estimation performance in the limit where the number of samples grows proportionally to the signal dimension. Our algorithm can be tailored to exploit any prior information on the signal, noise, and change points. It …

abstract algorithm arxiv change cs.lg linear linear regression locations math.st performance regression stat.ml stat.th type via

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