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We study interactive proofs of proximity (IPP) for model evaluation: a resource-limited verifier interacts with an untrusted prover, typically the model owner, to certify statistical properties of a model under an unknown input distribution. Our formulation is shaped by the constraints of practical evaluation: it separates sampling the input distribution ... more >>>
A subspace design is a collection of subspaces $H_1,\ldots,H_n$ of $\mathbb{F}_q^k$ with the property that no low-dimensional subspace $W$ intersects the collection ``too much’’. Subspace designs and related objects in linear-algebraic pseudorandomness have found a broad range of applications, ranging from list decoding and recovery, to derandomizing algorithms.
We ... more >>>
Motivated by recent constructions and barriers in secret sharing, we study multislice functions. These functions, parametrized by a width parameter $w$, take the value 0 on inputs of Hamming weight below a base value $k$, 1 on inputs of weight above $k+w$, and are monotone in between.
We first investigate ...
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