Author

Alireza Mirrokni

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#machine learning Preprint Oct 2026

Geometry-Aware Multi-Objective Optimization: Norm-Constrained Oracles with Entropic Weight Updates

Multiple-gradient descent is typically formulated in Euclidean geometry, whereas matrix-aware optimizers use directions induced by other norms. We analyze a single-loop multi-objective method combining a norm-constrained linear minimization oracle with entropic updates of task weights. For any finite-dimensional norm p...

El Mahdi Chayti, Alireza Mirrokni, Martin Jaggi · 0 citations

#machine learning Preprint Oct 2026

Partially Informed Stochastic Optimization via Zeroth-Order Residual Tracking

Partially Informed Stochastic Optimization (PISO) is introduced, which combines the available gradient component with a running estimate of the residual to establish convergence guarantees that depend on the residual's variation and initial magnitude, without requiring a uniform bound on the unavailable gradient compon...

El Mahdi Chayti, Alireza Mirrokni, Martin Jaggi · 0 citations