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math.OC2026
Mirror-Free Proximal Methods
Abhijeet Vyas, Brian Bullins
We present a \emph{mirror-free} mirror prox (MFMP) algorithm, which extends the classic approach of Nemirovski (2004) to allow for proximal-like updates without the explicit need f…
math.OC2026
Beyond First-Order Methods for -Structured Non-Monotone Variational Inequalities
Abhijeet Vyas, Brian Bullins
We propose novel high-order algorithms for a class of -structured non-monotone variational inequalities. In particular, work by Diakonikolas et al. (2021), which introduced…