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Settling the Query Complexity of Non-adaptive Junta Testing

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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-540-85363-3_26openalex-snapshot
Improved Bounds for Testing Juntas
inferredcites →https://doi.org/10.1007/978-3-642-03685-9_48openalex-snapshot
Testing ±1-weight halfspace
inferredcites →https://doi.org/10.1007/978-3-642-03685-9_51openalex-snapshot
Testing Computability by Width Two OBDDs
inferredcites →https://doi.org/10.1007/978-3-642-16367-8openalex-snapshot
Property testing: current research and surveys
inferredcites →https://doi.org/10.1007/978-3-642-32512-0_37openalex-snapshot
Tight Bounds for Testing k-Linearity
inferredcites →https://doi.org/10.1007/s00037-012-0040-xopenalex-snapshot
Property Testing Lower Bounds via Communication Complexity
inferredcites →https://doi.org/10.1007/s004930070011openalex-snapshot
Testing Monotonicity
inferredcites →https://doi.org/10.1016/0012-365x(76)90058-3openalex-snapshot
A note on the edges of the n-cube
inferredcites →https://doi.org/10.1016/0022-0000(93)90044-wopenalex-snapshot
Self-testing/correcting with applications to numerical problems
inferredcites →https://doi.org/10.1016/0097-3165(83)90038-9openalex-snapshot
On the trace of finite sets
inferredcites →https://doi.org/10.1016/j.ipl.2004.01.023openalex-snapshot
A lower bound for testing juntas
inferredcites →https://doi.org/10.1016/j.jcss.2003.11.004openalex-snapshot
Testing juntas
inferredcites →https://doi.org/10.1017/9781108135252openalex-snapshot
Introduction to Property Testing
inferredcites →https://doi.org/10.1017/cbo9780511581274openalex-snapshot
Concentration of Measure for the Analysis of Randomized Algorithms
inferredcites →https://doi.org/10.1080/00029890.1964.11992272openalex-snapshot
Assignment of Numbers to Vertices
inferredcites →https://doi.org/10.1109/ccc.2011.31openalex-snapshot
Property Testing Lower Bounds via Communication Complexity
inferredcites →https://doi.org/10.1109/focs.2007.70openalex-snapshot
Cryptography from Sunspots: How to Use an Imperfect Reference String
inferredcites →https://doi.org/10.1109/focs.2010.54openalex-snapshot
Optimal Testing of Reed-Muller Codes
inferredcites →https://doi.org/10.1109/focs.2014.38openalex-snapshot
New Algorithms and Lower Bounds for Monotonicity Testing
inferredcites →https://doi.org/10.1109/focs.2015.13openalex-snapshot
On Monotonicity Testing and Boolean Isoperimetric Type Theorems
inferredcites →https://doi.org/10.1109/tit.2005.856958openalex-snapshot
Testing Reed–Muller Codes
inferredcites →https://doi.org/10.1137/0112012openalex-snapshot
Optimal Assignments of Numbers to Vertices
inferredcites →https://doi.org/10.1137/0115129openalex-snapshot
Maximally Connected Arrays on the n -Cube
inferredcites →https://doi.org/10.1137/070707890openalex-snapshot
Testing Halfspaces
inferredcites →https://doi.org/10.1137/1.9780898715859openalex-snapshot
Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)
inferredcites →https://doi.org/10.1137/100785429openalex-snapshot
Testing Fourier Dimensionality and Sparsity
inferredcites →https://doi.org/10.1137/s0040585x9797821xopenalex-snapshot
Binomial Approximation to the Poisson Binomial Distribution: The Krawtchouk Expansion
inferredcites →https://doi.org/10.1137/s0895480101407444openalex-snapshot
Testing Basic Boolean Formulae
inferredcites →https://doi.org/10.1145/1536414.1536437openalex-snapshot
Testing juntas nearly optimally
inferredcites →https://doi.org/10.1145/2488608.2488660openalex-snapshot
A o(n) monotonicity tester for boolean functions over the hypercube
inferredcites →https://doi.org/10.1145/2746539.2746570openalex-snapshot
Boolean Function Monotonicity Testing Requires (Almost) n 1/2 Non-adaptive Queries
inferredcites →https://doi.org/10.1145/2897518.2897567openalex-snapshot
A polynomial lower bound for testing monotonicity
inferredcites →https://doi.org/10.1145/509907.509977openalex-snapshot
Monotonicity testing over general poset domains
inferredcites →https://doi.org/10.1155/jia/2006/64307openalex-snapshot
Exact Kolmogorov and total variation distances between some familiar discrete distributions
inferredcites →https://doi.org/10.1561/0400000029openalex-snapshot
Algorithmic and Analysis Techniques in Property Testing
inferredcites →https://doi.org/10.1561/2200000004openalex-snapshot
Property Testing: A Learning Theory Perspective
inferredcites →https://doi.org/10.4230/lipics.approx-random.2016.37openalex-snapshot
An ~O(n) Queries Adaptive Tester for Unateness
inferredcites →https://doi.org/10.48550/arxiv.1209.3849openalex-snapshot
The non-adaptive query complexity of testing k-parities
inferredcites →https://doi.org/10.48550/arxiv.1608.06980openalex-snapshot
A $\widetilde{O}(n)$ Non-Adaptive Tester for Unateness
inferredcites →https://doi.org/10.48550/arxiv.1608.07652openalex-snapshot
Testing Unateness of Real-Valued Functions
inferredcites →https://doi.org/10.5555/2627817.2627913openalex-snapshot
Exponentially improved algorithms and lower bounds for testing signed majorities

What points at this work

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

inferred← citeshttps://doi.org/10.1002/rsa.21029openalex-snapshot
Approximating the distance to monotonicity of Boolean functions
inferred← citeshttps://doi.org/10.1007/s00037-018-0168-4openalex-snapshot
An adaptivity hierarchy theorem for property testing
inferred← citeshttps://doi.org/10.1007/s10957-023-02353-7openalex-snapshot
Algorithms for Cardinality-Constrained Monotone DR-Submodular Maximization with Low Adaptivity and Query Complexity
inferred← citeshttps://doi.org/10.1007/s11128-020-02652-2openalex-snapshot
Quantum and classical query complexities for generalized Deutsch–Jozsa problems
inferred← citeshttps://doi.org/10.1109/focs57990.2023.00107openalex-snapshot
A strong composition theorem for junta complexity and the boosting of property testers
inferred← citeshttps://doi.org/10.1109/focs57990.2023.00108openalex-snapshot
New Lower Bounds for Adaptive Tolerant Junta Testing
inferred← citeshttps://doi.org/10.1109/tpami.2025.3528648openalex-snapshot
On Testing and Learning Quantum Junta Channels
inferred← citeshttps://doi.org/10.1145/3188745.3188842openalex-snapshot
Distribution-free junta testing
inferred← citeshttps://doi.org/10.1145/3618260.3649687openalex-snapshot
Optimal Non-adaptive Tolerant Junta Testing via Local Estimators
inferred← citeshttps://doi.org/10.3233/fi-2021-2076openalex-snapshot
Testing Boolean Functions Properties
inferred← citeshttps://doi.org/10.3934/jimo.2022031openalex-snapshot
An adaptive algorithm for maximization of non-submodular function with a matroid constraint
inferred← citeshttps://doi.org/10.46298/.8500openalex-snapshot
Testing Boolean Functions Properties
inferred← citeshttps://doi.org/10.48550/arxiv.2106.00287openalex-snapshot
Junta Distance Approximation with Sub-Exponential Queries
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