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math.OC2025
Non-Convex Self-Concordant Functions: Practical Algorithms and Complexity Analysis
Donald Goldfarb, Lexiao Lai, Tianyi Lin +1
We extend the standard notion of self-concordance to non-convex optimization and develop a family of second-order algorithms with global convergence guarantees. In particular, two…
math.OC2025
On the diameter of subgradient sequences in o-minimal structures
Lexiao Lai, Mingzhi Song
We study subgradient sequences of locally Lipschitz functions definable in a polynomially bounded o-minimal structure. We show that the diameter of any subgradient sequence is rela…
cs.IT2025
Phase Transitions in Phase-Only Compressed Sensing
Junren Chen, Lexiao Lai, Arian Maleki
The goal of phase-only compressed sensing is to recover a structured signal from the phases under some complex-valued sen…