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Volumn 5687 LNCS, Issue , 2009, Pages 420-433

Sampling s-concave functions: The limit of convexity based isoperimetry

Author keywords

[No Author keywords available]

Indexed keywords

CAUCHY DENSITY; CONCAVE FUNCTION; EFFICIENT SAMPLING; HEAVY-TAILED; LOG-CONCAVE DENSITIES; LOGCONCAVE FUNCTIONS; MIXING TIME; OPTIMIZATION ALGORITHMS; PROBABILITY DENSITIES; RANDOM WALK;

EID: 70350600103     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-03685-9_32     Document Type: Conference Paper
Times cited : (13)

References (19)
  • 2
    • 34548297030 scopus 로고    scopus 로고
    • Large deviations and isoperimetry over convex probability measures with heavy tails
    • Bob07
    • [Bob07] Bobkov, S.G.: Large deviations and isoperimetry over convex probability measures with heavy tails. Electronic Journal of Probability 12, 1072-1100 (2007)
    • (2007) Electronic Journal of Probability , vol.12 , pp. 1072-1100
    • Bobkov, S.G.1
  • 3
    • 34250424671 scopus 로고
    • Convex measures on locally convex spaces
    • Bor74
    • [Bor74] Borell, C.: Convex measures on locally convex spaces. Ark. Math. 12, 239-252 (1974)
    • (1974) Ark. Math , vol.12 , pp. 239-252
    • Borell, C.1
  • 4
    • 0000130180 scopus 로고
    • Convex set functions in d-space
    • Bor75
    • [Bor75] Borell, C.: Convex set functions in d-space. Periodica Mathematica Hungarica 6, 111-136 (1975)
    • (1975) Periodica Mathematica Hungarica , vol.6 , pp. 111-136
    • Borell, C.1
  • 5
    • 4243173687 scopus 로고    scopus 로고
    • Solving convex programs by random walks
    • BV04
    • [BV04] Bertsimas, D., Vempala, S.: Solving convex programs by random walks. J. ACM 51(4), 540-556 (2004)
    • (2004) J. ACM , vol.51 , Issue.4 , pp. 540-556
    • Bertsimas, D.1    Vempala, S.2
  • 7
    • 0025720957 scopus 로고
    • A random polynomial-time algorithm for approximating the volume of convex bodies
    • DFK91
    • [DFK91] Dyer, M.E., Frieze, A.M., Kannan, R.: A random polynomial-time algorithm for approximating the volume of convex bodies. J. ACM 38(1), 1-17 (1991)
    • (1991) J. ACM , vol.38 , Issue.1 , pp. 1-17
    • Dyer, M.E.1    Frieze, A.M.2    Kannan, R.3
  • 10
    • 51249166102 scopus 로고
    • Isoperimetric problems for convex bodies and a localization lemma
    • KLS95
    • [KLS95] Kannan, R., Lovász, L., Simonovits, M.: Isoperimetric problems for convex bodies and a localization lemma. J. Discr. Comput. Geom. 13, 541-559 (1995)
    • (1995) J. Discr. Comput. Geom , vol.13 , pp. 541-559
    • Kannan, R.1    Lovász, L.2    Simonovits, M.3
  • 12
    • 33748430373 scopus 로고    scopus 로고
    • Simulated annealing for convex optimization
    • KV06
    • [KV06] Kalai, A., Vempala, S.: Simulated annealing for convex optimization. Math. Oper. Res. 31(2), 253-266 (2006)
    • (2006) Math. Oper. Res , vol.31 , Issue.2 , pp. 253-266
    • Kalai, A.1    Vempala, S.2
  • 13
    • 84869652253 scopus 로고    scopus 로고
    • [Lov90] Lovász, L.: How to compute the Jber. d. Dt. Math.-Verein, Jubiläumstagung 1990, 138-151 (1990)
    • [Lov90] Lovász, L.: How to compute the volume? Jber. d. Dt. Math.-Verein, Jubiläumstagung 1990, 138-151 (1990)
  • 15
    • 84990634606 scopus 로고
    • Random walks in a convex body and an improved volume algorithm
    • LS93
    • [LS93] Lovász, L., Simonovits, M.: Random walks in a convex body and an improved volume algorithm. Random Structures and Alg 4, 359-412 (1993)
    • (1993) Random Structures and Alg , vol.4 , pp. 359-412
    • Lovász, L.1    Simonovits, M.2
  • 16
    • 37249086892 scopus 로고    scopus 로고
    • Fast algorithms for logconcave functions: Sampling, rounding, integration and optimization
    • LV06a, Washington, DC, USA, pp, IEEE Computer Society Press, Los Alamitos
    • [LV06a] Lovász, L., Vempala, S.: Fast algorithms for logconcave functions: Sampling, rounding, integration and optimization. In: FOCS 2006: Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science, Washington, DC, USA, pp. 57-68. IEEE Computer Society Press, Los Alamitos (2006)
    • (2006) FOCS 2006: Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science , pp. 57-68
    • Lovász, L.1    Vempala, S.2
  • 17
    • 33746338452 scopus 로고    scopus 로고
    • Hit-and-run from acorner. SIAMJ
    • LV06b
    • [LV06b] Lovász, L., Vempala, S.:Hit-and-run from acorner. SIAMJ. Computing 35, 985-1005 (2006)
    • (2006) Computing , vol.35 , pp. 985-1005
    • Lovász, L.1    Vempala, S.2
  • 19
    • 34247517393 scopus 로고    scopus 로고
    • The geometry of logconcave functions and sampling algorithms
    • LV07
    • [LV07] Lovász, L., Vempala, S.: The geometry of logconcave functions and sampling algorithms. Random Struct. Algorithms 30(3), 307-358 (2007)
    • (2007) Random Struct. Algorithms , vol.30 , Issue.3 , pp. 307-358
    • Lovász, L.1    Vempala, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.