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A distribution-free bound is given that depends only on the radius of the feasible region and the cost covariance of regret that holds for unconstrained and equality-constrained quadratic programs and many, but not all, linear programs.
It is proved that on descaled features and preferences, the proposed matching mechanism obtains the exact Nash Social Welfare optimum within the projected space, with an unconditional utilitarian-welfare guarantee and a conditional NSW guarantee.
This work proposes and evaluates a structurally different remedy for a specific but common setting: when the decision-maker observes many noisy realizations of the same underlying cost process, the realized cost vectors themselves can be treated as a noisy signal and denoised directly, via eigenvalue decomposition of t...
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