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Volumn , Issue , 2009, Pages 137-148

An almost optimal rank bound for Depth-3 identities

Author keywords

Depth 3 circuits; Derandomization; Identity testing

Indexed keywords

BLACK BOXES; DEPTH-3 CIRCUITS; DERANDOMIZATION; IDENTITY TESTING; MATCHINGS; POLYNOMIAL-TIME;

EID: 70350646985     PISSN: 10930159     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCC.2009.20     Document Type: Conference Paper
Times cited : (16)

References (14)
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  • 3
    • 84976779342 scopus 로고
    • Fast probabilistic algorithms for verification of polynomial identities
    • J. T. Schwartz, "Fast probabilistic algorithms for verification of polynomial identities, " JACM, vol. 27, no. 4, pp. 701-717, 1980.
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  • 4
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    • Probabilistic algorithms for sparse polynomials
    • R. Zippel, "Probabilistic algorithms for sparse polynomials, " Symbolic and algebraic computation, pp. 216-226, 1979.
    • (1979) Symbolic and Algebraic Computation , pp. 216-226
    • Zippel, R.1
  • 5
    • 0033701650 scopus 로고    scopus 로고
    • Reducing randomness via irrational numbers
    • Z. Chen and M. Kao, "Reducing randomness via irrational numbers, " SIAM J. on Computing, vol. 29, no. 4, pp. 1247- 1256, 2000.
    • (2000) SIAM J. on Computing , vol.29 , Issue.4 , pp. 1247-1256
    • Chen, Z.1    Kao, M.2
  • 7
    • 15944413051 scopus 로고    scopus 로고
    • Primality and identity testing via Chinese remaindering
    • M. Agrawal and S. Biswas, "Primality and identity testing via Chinese remaindering, " JACM, vol. 50, no. 4, pp. 429- 443, 2003.
    • (2003) JACM , vol.50 , Issue.4 , pp. 429-443
    • Agrawal, M.1    Biswas, S.2
  • 9
    • 35448994446 scopus 로고    scopus 로고
    • Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
    • Z. Dvir and A. Shpilka, "Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits, " SIAM J. on Computing, vol. 36, no. 5, pp. 1404-1434, 2006.
    • (2006) SIAM J. on Computing , vol.36 , Issue.5 , pp. 1404-1434
    • Dvir, Z.1    Shpilka, A.2
  • 10
    • 34249038395 scopus 로고    scopus 로고
    • Polynomial identity testing for depth 3 circuits
    • N. Kayal and N. Saxena, "Polynomial identity testing for depth 3 circuits, " Computational Complexity, vol. 16, no. 2, pp. 115-138, 2007.
    • (2007) Computational Complexity , vol.16 , Issue.2 , pp. 115-138
    • Kayal, N.1    Saxena, N.2
  • 12
    • 58049118510 scopus 로고    scopus 로고
    • Arithmetic circuits: A chasm at depth four
    • M. Agrawal and V. Vinay, "Arithmetic circuits: A chasm at depth four, " in FOCS, 2008, pp. 67-75.
    • (2008) FOCS , pp. 67-75
    • Agrawal, M.1    Vinay, V.2
  • 14
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    • Blackbox polynomial identity testing for depth 3 circuits
    • N. Kayal and S. Saraf, "Blackbox polynomial identity testing for depth 3 circuits, " ECCC, Tech. Rep. TR09-032, 2009.
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    • Kayal, N.1    Saraf, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.