Information theory in property testing and monotonicity testing in higher dimension

Information and Computation

Volumn 204, Issue 11, 2006, Pages 1704-1717

  Ailon, Nir ^a,b   Chazelle, Bernard ^a  

^a Princeton University   (United States)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Information theory; Property testing

Indexed keywords

PROBABILITY DISTRIBUTIONS;

HIGHER DIMENSIONS; MONOTONICITY TESTING; ORACLE ACCESS; PROPERTY TESTER; PROPERTY-TESTING; QUERY COMPLEXITY; SHANNON ENTROPY; UNDERLYING DISTRIBUTION;

INFORMATION THEORY;

EID: 84855206859     PISSN: 08905401     EISSN: 10902651     Source Type: Journal    
DOI: 10.1016/j.ic.2006.06.001     Document Type: Article

References (13)

1. Y. Dodis, O. Goldreich, E. Lehman, S. Raskhodnikova, D. Ron, A. Samorodnitsky, Improved testing algorithms for monotonicity, Proc. RANDOM (1999) 97-108.
2. F. Ergun, S. Kannan, S. Ravi Kumar, R. Rubinfeld, M. Viswanathan, Spot-checkers, Proc. STOC (1998) 259-268.
3. E. Fischer, The art of uninformed decisions: A primer to property testing, Bull. EATCS 75(2001) 97-126.
4. E. Fischer, On the strength of comparisons in property testing, Inform. Comput. 189(2004) 107-116.
5. E. Fischer, G. Kindler, D. Ron, S. Safra, A. Samorodnitsky, Testing Juntas, Proc. FOCS (2002) 103-112.
6. E. Fischer, E. Lehman, I. Newman, S. Raskhodnikova, R. Rubinfeld, A. Samorodnitsky, Monotonicity testing over general poset domains, Proc. STOC (2002) 474-483. (Pubitemid 35009408)
7. O. Goldreich, Combinatorial property testing-A survey, in: Randomization Methods in Algorithm Design, 1998, pp. 45-60.
8. O. Goldreich, S. Goldwasser, E. Lehman, D. Ron, A. Samordinsky, Testing monotonicity, Combinatorica 20(2000) 301-337.
9. O. Goldreich, S. Goldwasser, D. Ron, Property testing and its connection to learning and approximation, J. ACM 45(1998) 653-750. (Pubitemid 128488791)
10. S. Halevy, E. Kushilevitz, Distribution-free property testing, Proc. RANDOM (2003) 302-317.
11. S. Halevy, E. Kushilevitz, Testing monotonicity over graph products, ICALP (2004).
12. M. Parnas, D. Ron, R. Rubinfeld, Tolerant property testing and distance approximation, ECCC (2004).
13. D. Ron, Property testing, in: Handbook on Randomization, vol. II, 2001, pp. 597-649.