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Algorithmic and Analysis Techniques in Property 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/10.1002/rsa.10013openalex-snapshot
Testing the diameter of graphs
inferredcites →https://doi.org/10.1002/rsa.10056openalex-snapshot
Testing subgraphs in large graphs
inferredcites →https://doi.org/10.1002/rsa.10067openalex-snapshot
Testing membership in parenthesis languages
inferredcites →https://doi.org/10.1002/rsa.10078openalex-snapshot
Three theorems regarding testing graph properties
inferredcites →https://doi.org/10.1002/rsa.10110openalex-snapshot
Functions that have read‐twice constant width branching programs are not necessarily testable
inferredcites →https://doi.org/10.1002/rsa.20037openalex-snapshot
Testing graphs for colorability properties*
inferredcites →https://doi.org/10.1006/jagm.1994.1005openalex-snapshot
The Algorithmic Aspects of the Regularity Lemma
inferredcites →https://doi.org/10.1006/jcss.1999.1656openalex-snapshot
Testing Problems with Sublearning Sample Complexity
inferredcites →https://doi.org/10.1006/jcss.1999.1692openalex-snapshot
Spot-Checkers
inferredcites →https://doi.org/10.1006/jctb.1995.1006openalex-snapshot
Graph Minors .XIII. The Disjoint Paths Problem
inferredcites →https://doi.org/10.1007/978-1-4613-9578-2openalex-snapshot
Introduction to Statistical Inference
inferredcites →https://doi.org/10.1007/978-3-540-31856-9_36openalex-snapshot
Information Theory in Property Testing and Monotonicity Testing in Higher Dimension
inferredcites →https://doi.org/10.1007/bf01200056openalex-snapshot
Non-deterministic exponential time has two-prover interactive protocols
inferredcites →https://doi.org/10.1007/bf02392825openalex-snapshot
Clique is hard to approximate within n1−ε
inferredcites →https://doi.org/10.1007/pl00009195openalex-snapshot
Maintaining the Classes of 4-Edge-Connectivity in a Graph On-Line
inferredcites →https://doi.org/10.1007/s004930050060openalex-snapshot
A Sublinear Bipartiteness Tester for Bounded Degree Graphs
inferredcites →https://doi.org/10.1007/s004930070001openalex-snapshot
Efficient Testing of Large Graphs
inferredcites →https://doi.org/10.1007/s004930070011openalex-snapshot
Testing Monotonicity
inferredcites →https://doi.org/10.1016/j.ic.2004.10.001openalex-snapshot
Fast approximate PCPs for multidimensional bin-packing problems
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/10.1016/j.jcss.2004.04.008openalex-snapshot
Testing subgraphs in directed graphs
inferredcites →https://doi.org/10.1016/j.jcss.2006.03.002openalex-snapshot
Tolerant property testing and distance approximation
inferredcites →https://doi.org/10.1016/j.jctb.2004.08.001openalex-snapshot
Graph Minors. XX. Wagner's conjecture
inferredcites →https://doi.org/10.1016/s0020-0190(03)00230-8openalex-snapshot
Functions that have read-once branching programs of quadratic size are not necessarily testable
inferredcites →https://doi.org/10.1016/s0196-6774(03)00019-1openalex-snapshot
Testing satisfiability
inferredcites →https://doi.org/10.1016/s0890-5401(03)00160-3openalex-snapshot
Testing metric properties
inferredcites →https://doi.org/10.1017/s0963548306007759openalex-snapshot
A Characterization of Easily Testable Induced Subgraphs
inferredcites →https://doi.org/10.1090/dimacs/043/04openalex-snapshot
Combinatorial property testing (a survey)
inferredcites →https://doi.org/10.1109/18.556674openalex-snapshot
Linearity testing in characteristic two
inferredcites →https://doi.org/10.1109/ccc.2004.1313803openalex-snapshot
Lower bounds for testing bipartiteness in dense graphs
inferredcites →https://doi.org/10.1109/focs.2004.64openalex-snapshot
Testing Low-Degree Polynomials over Prime Fields
inferredcites →https://doi.org/10.1109/focs.2009.77openalex-snapshot
Local Graph Partitions for Approximation and Testing
inferredcites →https://doi.org/10.1109/tit.2005.856958openalex-snapshot
Testing Reed–Muller Codes
inferredcites →https://doi.org/10.1137/0217033openalex-snapshot
A Polynomial Approximation Scheme for Scheduling on Uniform Processors: Using the Dual Approximation Approach
inferredcites →https://doi.org/10.1137/050645804openalex-snapshot
Distribution-Free Property-Testing
inferredcites →https://doi.org/10.1137/060652324openalex-snapshot
Testing versus Estimation of Graph Properties
inferredcites →https://doi.org/10.1137/s0097539700366528openalex-snapshot
Regular Languages are Testable with a Constant Number of Queries
inferredcites →https://doi.org/10.1137/s009753970038211xopenalex-snapshot
Testing Membership in Languages that Have Small Width Branching Programs
inferredcites →https://doi.org/10.1137/s0097539702403645openalex-snapshot
The Complexity of Approximating the Entropy
inferredcites →https://doi.org/10.1137/s0097539703436424openalex-snapshot
Tight Bounds for Testing Bipartiteness in General Graphs
inferredcites →https://doi.org/10.1137/s009753970444199xopenalex-snapshot
Abstract Combinatorial Programs and Efficient Property Testers
inferredcites →https://doi.org/10.1137/s0097539704445445openalex-snapshot
Some 3CNF Properties Are Hard to Test
inferredcites →https://doi.org/10.1137/s0097539704445615openalex-snapshot
Testing Polynomials over General Fields
inferredcites →https://doi.org/10.1137/s0097539792234226openalex-snapshot
A Fast Algorithm for Optimally Increasing the Edge Connectivity
inferredcites →https://doi.org/10.1137/s0097539793255151openalex-snapshot
Robust Characterizations of Polynomials with Applications to Program Testing
inferredcites →https://doi.org/10.1137/s0097539796302531openalex-snapshot
Free Bits, PCPs, and Nonapproximability---Towards Tight Results
inferredcites →https://doi.org/10.1137/s0895480101407444openalex-snapshot
Testing Basic Boolean Formulae
inferredcites →https://doi.org/10.1137/s0895480102410973openalex-snapshot
Testing of Clustering
inferredcites →https://doi.org/10.1137/s0895480199358655openalex-snapshot
Testing k -colorability
inferredcites →https://doi.org/10.1145/1968.1972openalex-snapshot
A theory of the learnable
inferredcites →https://doi.org/10.1145/226643.226652openalex-snapshot
Interactive proofs and the hardness of approximating cliques
inferredcites →https://doi.org/10.1145/278298.278306openalex-snapshot
Proof verification and the hardness of approximation problems
inferredcites →https://doi.org/10.1145/285055.285060openalex-snapshot
Property testing and its connection to learning and approximation
inferredcites →https://doi.org/10.1145/7531.7535openalex-snapshot
Using dual approximation algorithms for scheduling problems theoretical and practical results
inferredcites →https://doi.org/10.1561/9781933019604openalex-snapshot
Data Streams: Algorithms and Applications
inferredcites →https://doi.org/10.4086/toc.2006.v002a009openalex-snapshot

What points at this work

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

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Almost Optimal Adaptive Proper Learning Polynomials
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Testing properties of functions on finite groups
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Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition
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Testing Bipartiteness of Graphs in Sublinear Time
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Testing Bipartiteness in the Dense-Graph Model
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On the Communication Complexity Methodology for Proving Lower Bounds on the Query Complexity of Property Testing
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An Optimal Tester for k-Linear
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Almost Optimal Proper Learning and Testing Polynomials
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On One-Sided Testing Affine Subspaces
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On the Locally Testable Code of Dinur et al. (2021)
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On Testing Group Properties
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Property Testing
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Hierarchy Theorems for Property Testing
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Algorithmic Aspects of Property Testing in the Dense Graphs Model
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Testing Computability by Width Two OBDDs
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Testing Boolean Function Isomorphism
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On Testing Computability by Small Width OBDDs
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A Brief Introduction to Property Testing
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Comparing the Strength of Query Types in Property Testing: The Case of Testing k-Colorability
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Lower Bounds for Testing Computability by Small Width OBDDs
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Untestable Properties in the Kahr-Moore-Wang Class
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On the Average-Case Complexity of Property Testing
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Proximity Oblivious Testing and the Role of Invariances
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Introduction to Testing Graph Properties
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Randomness and Computation
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Contemplations on Testing Graph Properties
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Another Motivation for Reducing the Randomness Complexity of Algorithms
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Proximity Oblivious Testing and the Role of Invariances
inferred← citeshttps://doi.org/10.1007/978-3-642-27848-8_701-1openalex-snapshot
Testing Bipartiteness of Graphs in Sublinear Time
inferred← citeshttps://doi.org/10.1007/978-3-642-27848-8_702-1openalex-snapshot
Testing Bipartiteness in the Dense-Graph Model
inferred← citeshttps://doi.org/10.1007/978-3-642-31155-0_33openalex-snapshot
Testing Formula Satisfaction
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Tight Bounds for Testing k-Linearity
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Two-Sided Error Proximity Oblivious Testing
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Testing Linear-Invariant Function Isomorphism
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Testing Membership in Counter Automaton Languages
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How Robust Is the Core of a Network?
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Sublinear Algorithms for Extreme-Scale Data Analysis
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Big Data on the Rise?
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Fast Distributed Algorithms for Testing Graph Properties
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Hierarchy Theorems for Property Testing
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Property Testing Lower Bounds via Communication Complexity
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Testing list H-homomorphisms
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Non-interactive proofs of proximity
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An adaptivity hierarchy theorem for property testing
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An Exponential Separation Between MA and AM Proofs of Proximity
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Discrimination of Quantum States Under Locality Constraints in the Many-Copy Setting
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Testing Shape Restrictions of Discrete Distributions
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Fast distributed algorithms for testing graph properties
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Exponentially Improved Algorithms and Lower Bounds for Testing Signed Majorities
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Testing Lipschitz Functions on Hypergrid Domains
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The Power and Limitations of Uniform Samples in Testing Properties of Figures
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Testable and untestable classes of first-order formulae
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New techniques and tighter bounds for local computation algorithms
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Sorting and selection on dynamic data
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Testing Eulerianity and connectivity in directed sparse graphs
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Testing the (s,t) -disconnectivity of graphs and digraphs
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Testing piecewise functions
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Property Testing Lower Bounds via Communication Complexity
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Testing List H-homomorphisms
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Lower Bounds for Testing Properties of Functions over Hypergrid Domains
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Testing and Reconstruction of Lipschitz Functions with Applications to Data Privacy
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Partially Symmetric Functions Are Efficiently Isomorphism-Testable
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Testing and Reconstruction of Lipschitz Functions with Applications to Data Privacy
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Every locally characterized affine-invariant property is testable
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Interactive proofs of proximity
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Parameterized testability
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Guest column
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Ultra-efficiency via sublinearity
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A characterization of locally testable affine-invariant properties via decomposition theorems
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Non-Interactive Proofs of Proximity
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Space- and Time-Efficient Algorithm for Maintaining Dense Subgraphs on One-Pass Dynamic Streams
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Testing Cluster Structure of Graphs
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Provable and Practical Approximations for the Degree Distribution using Sublinear Graph Samples
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Distribution-free junta testing
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Distributed Uniformity Testing
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Distribution-free Junta Testing
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Testability of Homomorphism Inadmissibility
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Testing noisy linear functions for sparsity
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Testing vs Estimation for Index-Invariant Properties in the Huge Object Model
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Testing Cluster Structure of Graphs
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Making queries tractable on big data with preprocessing
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Sensitivity of Diffusion Dynamics to Network Uncertainty
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Property testing in gradbeschränkten gerichteten Graphen unter Nichtsichtbarkeit eingehender Kanten
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Final Report: Sublinear Algorithms for In-situ and In-transit Data Analysis at Exascale.
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The Kahr-Moore-Wang Class Contains Untestable Properties
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On Locally Verifiable Proofs of Proximity
inferred← citeshttps://doi.org/10.31237/osf.io/rx6ztopenalex-snapshot
Property Testing and Probability Distributions: New Techniques, New Models, and New Goals
inferred← citeshttps://doi.org/10.31237/osf.io/rx6zt_v1openalex-snapshot
Property Testing and Probability Distributions: New Techniques, New Models, and New Goals
inferred← citeshttps://doi.org/10.3390/bdcc9100257openalex-snapshot
Tester-Guided Graph Learning with End-to-End Detection Certificates for Triangle-Based Anomalies
inferred← citeshttps://doi.org/10.4086/toc.2011.v007a011openalex-snapshot
inferred← citeshttps://doi.org/10.4086/toc.2014.v010a020openalex-snapshot
inferred← citeshttps://doi.org/10.4086/toc.2018.v014a019openalex-snapshot
inferred← citeshttps://doi.org/10.4086/toc.gs.2020.009openalex-snapshot
inferred← citeshttps://doi.org/10.4230/lipics.approx-random.2014.704openalex-snapshot
On Multiple Input Problems in Property Testing
inferred← citeshttps://doi.org/10.4230/lipics.approx/random.2020.5openalex-snapshot
Almost Optimal Testers for Concise Representations
inferred← citeshttps://doi.org/10.4230/lipics.approx/random.2022.48openalex-snapshot
Asymptotically Optimal Bounds for Estimating H-Index in Sublinear Time with Applications to Subgraph Counting
inferred← citeshttps://doi.org/10.4230/lipics.ccc.2019.2openalex-snapshot
Almost Optimal Distribution-Free Junta Testing
inferred← citeshttps://doi.org/10.4230/lipics.itcs.2019.52openalex-snapshot
Lower Bounds for Tolerant Junta and Unateness Testing via Rejection Sampling of Graphs
inferred← citeshttps://doi.org/10.4230/lipics.tqc.2024.8openalex-snapshot
(Quantum) Complexity of Testing Signed Graph Clusterability
inferred← citeshttps://doi.org/10.48550/arxiv.1008.4401openalex-snapshot
Separations of Matroid Freeness Properties
inferred← citeshttps://doi.org/10.48550/arxiv.1106.3126openalex-snapshot
Testing List H-Homomorphisms
inferred← citeshttps://doi.org/10.48550/arxiv.1204.3413openalex-snapshot
Testing Formula Satisfaction
inferred← citeshttps://doi.org/10.48550/arxiv.1302.0914openalex-snapshot
Beyond Worst-Case Analysis for Joins with Minesweeper
inferred← citeshttps://doi.org/10.48550/arxiv.1304.6685openalex-snapshot
Distance-Sensitive Property Testing Lower Bounds
inferred← citeshttps://doi.org/10.48550/arxiv.1306.1360openalex-snapshot
Some properties are not even partially testable
inferred← citeshttps://doi.org/10.48550/arxiv.1404.5398openalex-snapshot
New Techniques and Tighter Bounds for Local Computation Algorithms
inferred← citeshttps://doi.org/10.48550/arxiv.1411.7346openalex-snapshot
A Chasm Between Identity and Equivalence Testing with Conditional Queries
inferred← citeshttps://doi.org/10.48550/arxiv.1501.06783openalex-snapshot
Big Data on the Rise: Testing monotonicity of distributions
inferred← citeshttps://doi.org/10.48550/arxiv.1602.03718openalex-snapshot
Fast Distributed Algorithms for Testing Graph Properties
inferred← citeshttps://doi.org/10.48550/arxiv.1605.00089openalex-snapshot
Dynamic Graph Stream Algorithms in $o(n)$ Space
inferred← citeshttps://doi.org/10.48550/arxiv.1704.06314openalex-snapshot
Settling the query complexity of non-adaptive junta testing
inferred← citeshttps://doi.org/10.48550/arxiv.1705.04033openalex-snapshot
Distributed Property Testing for Subgraph-Freeness Revisited
inferred← citeshttps://doi.org/10.48550/arxiv.1705.08438openalex-snapshot
On The Multiparty Communication Complexity of Testing Triangle-Freeness
inferred← citeshttps://doi.org/10.48550/arxiv.1802.04859openalex-snapshot
Distribution-free Junta Testing
inferred← citeshttps://doi.org/10.48550/arxiv.1812.11564openalex-snapshot
Spectral methods for testing cluster structure of graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1903.01432openalex-snapshot
Data Amplification: Instance-Optimal Property Estimation
inferred← citeshttps://doi.org/10.48550/arxiv.1906.03794openalex-snapshot
The Broad Optimality of Profile Maximum Likelihood
inferred← citeshttps://doi.org/10.48550/arxiv.1911.08320openalex-snapshot
Property Testing of LP-Type Problems
inferred← citeshttps://doi.org/10.48550/arxiv.2010.04527openalex-snapshot
Constant-time connectivity tests
inferred← citeshttps://doi.org/10.5555/2133036.2133166openalex-snapshot
Nearly tight bounds for testing function isomorphism
inferred← citeshttps://doi.org/10.5555/2627817.2627913openalex-snapshot
Exponentially improved algorithms and lower bounds for testing signed majorities
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