All reports by Author Justin Oh:

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TR22-103
| 15th July 2022
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Dean Doron, Dana Moshkovitz, Justin Oh, David Zuckerman#### Almost Chor--Goldreich Sources and Adversarial Random Walks

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TR19-099
| 29th July 2019
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Dean Doron, Dana Moshkovitz, Justin Oh, David Zuckerman#### Nearly Optimal Pseudorandomness From Hardness

Revisions: 3

Dean Doron, Dana Moshkovitz, Justin Oh, David Zuckerman

A Chor--Goldreich (CG) source [CG88] is a sequence of random variables $X = X_1 \circ \ldots \circ X_t$, each $X_i \sim \{0,1 \{^d$, such that each $X_i$ has $\delta d$ min-entropy for some constant $\delta > 0$, even conditioned on any fixing of $X_1 \circ \ldots \circ X_{i-1}$. We typically ... more >>>

Dean Doron, Dana Moshkovitz, Justin Oh, David Zuckerman

Existing proofs that deduce $\mathbf{BPP}=\mathbf{P}$ from circuit lower bounds convert randomized algorithms into deterministic algorithms with a large polynomial slowdown. We convert randomized algorithms into deterministic ones with little slowdown. Specifically, assuming exponential lower bounds against nondeterministic circuits, we convert any randomized algorithm over inputs of length $n$ running in ... more >>>