Self-testing/correcting with applications to numerical problems
Journal of Computer and System Sciences - Special issue: papers from the 22nd ACM symposium on the theory of computing, May 14–16, 1990
Property testing and its connection to learning and approximation
Journal of the ACM (JACM)
Robust Characterizations of Polynomials withApplications to Program Testing
SIAM Journal on Computing
Testing Basic Boolean Formulae
SIAM Journal on Discrete Mathematics
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Testing subgraphs in large graphs
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Three theorems regarding testing graph properties
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A combinatorial characterization of the testable graph properties: it's all about regularity
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Every minor-closed property of sparse graphs is testable
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Algebraic property testing: the role of invariance
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Linearity testing in characteristic two
IEEE Transactions on Information Theory - Part 1
Algorithmic Aspects of Property Testing in the Dense Graphs Model
APPROX '09 / RANDOM '09 Proceedings of the 12th International Workshop and 13th International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
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Guest column: testing linear properties: some general theme
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Introduction to testing graph properties
Property testing
Invariance in property testing
Property testing
Testing linear-invariant non-linear properties: a short report
Property testing
Algorithmic aspects of property testing in the dense graphs model
Property testing
Short locally testable codes and proofs: a survey in two parts
Property testing
Introduction to testing graph properties
Property testing
Invariance in property testing
Property testing
Testing linear-invariant non-linear properties: a short report
Property testing
Algorithmic aspects of property testing in the dense graphs model
Property testing
Correlation testing for affine invariant properties on Fpn in the high error regime
Proceedings of the forty-third annual ACM symposium on Theory of computing
Studies in complexity and cryptography
Proximity oblivious testing and the role of invariances
Studies in complexity and cryptography
Short locally testable codes and proofs
Studies in complexity and cryptography
Introduction to testing graph properties
Studies in complexity and cryptography
APPROX'11/RANDOM'11 Proceedings of the 14th international workshop and 15th international conference on Approximation, randomization, and combinatorial optimization: algorithms and techniques
Proximity oblivious testing and the role of invariances
APPROX'11/RANDOM'11 Proceedings of the 14th international workshop and 15th international conference on Approximation, randomization, and combinatorial optimization: algorithms and techniques
Algorithmic Aspects of Property Testing in the Dense Graphs Model
SIAM Journal on Computing
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We initiate a systematic study of a special type of property testers. These testers consist of repeating a basic test for a number of times that depends on the proximity parameter, whereas the basic test is oblivious of the proximity parameter. We refer to such basic tests by the term Proximity-Oblivious Testers. While proximity-oblivious testers were studied before - most notably in the algebraic setting - the current study seems to be the first one to focus on graph properties. We provide a mix of positive and negative results, and in particular characterizations of the graph properties that have constant-query proximity-oblivious testers in the two standard models (i.e., the adjacency matrix and the bounded-degree models). Furthermore, we show that constant-query proximity-oblivious testers do not exist for many easily testable properties, and that even when proximity-oblivious testers exist, repeating them does not necessarily yield the best standard testers for the corresponding property.