Cost functions for pairwise data clustering

被引:4
作者
Angelini, L
Nitti, L
Pellicoro, M
Stramaglia, S
机构
[1] Univ Bari, Dipartimento Fis, I-70126 Bari, Italy
[2] Univ Bari, DETO Sez Fis Med, I-70124 Bari, Italy
[3] Ist Nazl Fis Nucl, Sez Bari, I-70126 Bari, Italy
关键词
Learning systems - Ground state - Clustering algorithms;
D O I
10.1016/S0375-9601(01)00373-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Cost functions for nun-hierarchical pairwise clustering are introduced, in the probabilistic autoencoder framework, by the request of maximal average similarity between input and the output of the autoencoder. Clustering is thus formulated as the problem of finding the ground state of Potts spins Hamiltonians. The partition, provided by this procedure, identifies clusters with dl:nse connected regions in the data space. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:279 / 285
页数:7
相关论文
共 21 条
[1]   Broad patterns of gene expression revealed by clustering analysis of tumor and normal colon tissues probed by oligonucleotide arrays [J].
Alon, U ;
Barkai, N ;
Notterman, DA ;
Gish, K ;
Ybarra, S ;
Mack, D ;
Levine, AJ .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1999, 96 (12) :6745-6750
[2]  
Anderson E., 1935, Bulletin of the American IRIS Society, V59, P2
[3]   Clustering data by inhomogeneous chaotic map lattices [J].
Angelini, L ;
De Carlo, F ;
Marangi, C ;
Pellicoro, M ;
Stramaglia, S .
PHYSICAL REVIEW LETTERS, 2000, 85 (03) :554-557
[4]  
[Anonymous], 1973, PATTERN RECOGNITION
[5]  
Bishop C. M., 1995, NEURAL NETWORKS PATT
[6]   GTM: The generative topographic mapping [J].
Bishop, CM ;
Svensen, M ;
Williams, CKI .
NEURAL COMPUTATION, 1998, 10 (01) :215-234
[7]   Superparamagnetic clustering of data [J].
Blatt, M ;
Wiseman, S ;
Domany, E .
PHYSICAL REVIEW LETTERS, 1996, 76 (18) :3251-3254
[8]   ON PERCOLATION AS A COSMOLOGICAL TEST [J].
DEKEL, A ;
WEST, MJ .
ASTROPHYSICAL JOURNAL, 1985, 288 (02) :411-417
[9]   MAXIMUM LIKELIHOOD FROM INCOMPLETE DATA VIA EM ALGORITHM [J].
DEMPSTER, AP ;
LAIRD, NM ;
RUBIN, DB .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1977, 39 (01) :1-38
[10]  
GIADA L, CONDMAT0101237