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Polylogarithmic independence fools AC 0 circuits

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/jcss.2001.1803openalex-snapshot
A Slight Sharpening of LMN
inferredcites →https://doi.org/10.1007/bf01137685openalex-snapshot
Lower bounds on the size of bounded depth circuits over a complete basis with logical addition
inferredcites →https://doi.org/10.1007/bf01940873openalex-snapshot
On deterministic approximation of DNF
inferredcites →https://doi.org/10.1007/bf02128670openalex-snapshot
Approximate Inclusion-Exclusion
inferredcites →https://doi.org/10.1016/0304-3975(93)90214-eopenalex-snapshot
Probabilistic polynomials, AC0 functions and the polynomial-time hierarchy
inferredcites →https://doi.org/10.1016/s0020-0190(03)00359-4openalex-snapshot
Almost k-wise independence versus k-wise independence
inferredcites →https://doi.org/10.1109/focs.2007.55openalex-snapshot
Smooth Histograms for Sliding Windows
inferredcites →https://doi.org/10.1109/sct.1991.160270openalex-snapshot
The perceptron strikes back
inferredcites →https://doi.org/10.1109/sct.1993.336538openalex-snapshot
The polynomial method in circuit complexity
inferredcites →https://doi.org/10.1137/070691954openalex-snapshot
Polylogarithmic Independence Can Fool DNF Formulas
inferredcites →https://doi.org/10.1145/1490270.1490273openalex-snapshot
A Simple Proof of Bazzi’s Theorem
inferredcites →https://doi.org/10.1145/174130.174138openalex-snapshot
Constant depth circuits, Fourier transform, and learnability
inferredcites →https://doi.org/10.1145/22145.22196openalex-snapshot
NP is as easy as detecting unique solutions
inferredcites →https://doi.org/10.1145/28395.28404openalex-snapshot
Algebraic methods in the theory of lower bounds for Boolean circuit complexity

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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On polynomial approximations to AC
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Interactive Proofs for Social Graphs
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Low-Complexity Weak Pseudorandom Functions in $$\mathtt {AC}0[\mathtt {MOD}2]$$
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Pseudorandomness for Linear Length Branching Programs and Stack Machines
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Fine-Grained Cryptography
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Bounded Indistinguishability and the Complexity of Recovering Secrets
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Bounded-Depth Circuits Cannot Sample Good Codes
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Pseudorandom generators for CC0[p] and the Fourier spectrum of low-degree polynomials over finite fields
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A Technique for Hardness Amplification Against $$\textsf{AC}^0$$
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inferred← citeshttps://doi.org/10.1109/ccc.2014.39openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/focs.2010.72openalex-snapshot
Pseudorandom Generators for CC0[p] and the Fourier Spectrum of Low-Degree Polynomials over Finite Fields
inferred← citeshttps://doi.org/10.1109/focs.2011.57openalex-snapshot
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Generating k-Independent Variables in Constant Time
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Quantified derandomization of linear threshold circuits
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Using the Planted Clique Conjecture for Cryptography: Public-Key Encryption from Planted Clique and Noisy 𝑘-LIN over Expanders
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High-Accuracy List-Decodable Mean Estimation
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Bounded Independence vs. Moduli
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On Polynomial Approximations to AC^0
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On Closeness to k-Wise Uniformity
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Improved Pseudorandom Generators from Pseudorandom Multi-Switching Lemmas
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A Robust Version of Heged\H{u}s's Lemma, with Applications
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DNF Sparsification and a Faster Deterministic Counting Algorithm
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Improved Constructions of Two-Source Extractors
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Algorithms for Similarity Search and Pseudorandomness
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On Quantum Computing and Pseudorandomness
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