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Scalable frameworks and algorithms for cluster ensembles and clustering data streams

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Material Information

Title:
Scalable frameworks and algorithms for cluster ensembles and clustering data streams
Physical Description:
Book
Language:
English
Creator:
Hore, Prodip
Publisher:
University of South Florida
Place of Publication:
Tampa, Fla.
Publication Date:

Subjects

Subjects / Keywords:
Partitioning
Hard-c-means
Fuzzy-c-means
Scalability
Merging
Streaming
Dissertations, Academic -- Computer Science and Engineering -- Doctoral -- USF   ( lcsh )
Genre:
bibliography   ( marcgt )
theses   ( marcgt )
non-fiction   ( marcgt )

Notes

Summary:
ABSTRACT: Clustering algorithms are an important tool for data mining and data analysis purposes. Clustering algorithms fall under the category of unsupervised learning algorithms, which can group patterns without an external teacher or labels using some kind of similarity metric. Clustering algorithms are generally iterative in nature and computationally intensive. They will have disk accesses in every iteration for data sets larger than memory, making the algorithms unacceptably slow. Data could be processed in chunks, which fit into memory, to provide a scalable framework. Multiple processors may be used to process chunks in parallel. Clustering solutions from each chunk together form an ensemble and can be merged to provide a global solution. So, merging multiple clustering solutions, an ensemble, is important for providing a scalable framework.Combining multiple clustering solutions or partitions, is also important for obtaining a robust clustering solution, merging distributed clustering solutions, and providing a knowledge reuse and privacy preserving data mining framework. Here we address combining multiple clustering solutions in a scalable framework. We also propose algorithms for incrementally clustering large or very large data sets. We propose an algorithm that can cluster large data sets through a single pass. This algorithm is also extended to handle clustering infinite data streams. These types of incremental/online algorithms can be used for real time processing as they don't revisit data and are capable of processing data streams under the constraint of limited buffer size and computational time. Thus, different frameworks/algorithms have been proposed to address scalability issues in different settings.To our knowledge we are the first to introduce scalable algorithms for merging cluster ensembles, in terms of time and space complexity, on large real world data sets. We are also the first to introduce single pass and streaming variants of the fuzzy c means algorithm. We have evaluated the performance of our proposed frameworks/algorithms both on artificial and large real world data sets. A comparison of our algorithms with other relevant algorithms is discussed. These comparisons show the scalability and effectiveness of the partitions created by these new algorithms.
Thesis:
Dissertation (Ph.D.)--University of South Florida, 2007.
Bibliography:
Includes bibliographical references.
System Details:
System requirements: World Wide Web browser and PDF reader.
System Details:
Mode of access: World Wide Web.
Statement of Responsibility:
by Prodip Hore.
General Note:
Title from PDF of title page.
General Note:
Document formatted into pages; contains 129 pages.
General Note:
Includes vita.

Record Information

Source Institution:
University of South Florida Library
Holding Location:
University of South Florida
Rights Management:
All applicable rights reserved by the source institution and holding location.
Resource Identifier:
aleph - 001921020
oclc - 190844762
usfldc doi - E14-SFE0002135
usfldc handle - e14.2135
System ID:
SFS0026453:00001


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&;Xnn/ ;*+/ jjK87-nZ „n%A') n”F8n / % $I') n-F/ 2Xn„*‹n 7; (n1')&/ $)d7; (% $ #F8Mk'@dn / K'%(ˆ'n@) %(E/nJ#98ˆ; nO%( %$d$M%%('%%(jZ'&%d;B%(9''n / n ')nIF/ \BnG*R%A'n'&% ]1<#nnOn_f')nrBnOn\($%(')7„ q 'nn…'& n&')n %&/ n„*/ ?'n&%$#&$n”YOn8I&$n”'-n'&›/ nD'&) n. ?'%9'D*%(7%A'n67n7?8] S nnOn_Y&7n^*”'&) n n&6'&) n^&;Xnn/ ;%(&&/nJ*+6%(d$nLk'@Q A8") n&n^')n $nr*D*+nZ'&/ &n#7Z8QBnr(%%('na]”7nJ&Q";(n %('% /'nd; ; 9@) n3) Xnn n_D)n&n2/ A'%(; nL; &n&&&\/ (Xn/ &n—%;(nD'M&;Xnn—/ ;*+/ jjK8 nZ MpZ_ 9]—ŠPŸ’sG;(n”On&%š*') n=;'&%(On*+/jj8WYn n/ ?'n&%$ ($&%A') ).XnnQ %/ &na_) n&nZ_ %(Ÿ’pn%n9'O&%F'*‹'&) n39On9'&% W‹nZn1($%(')UR! h ›W § !3;'%AOnH/ $)\*+/jj8\n n (/ '&n% $6$%('&) .#;&;X&na]  ) nnr)GXnn=n&n&@)M=(/ '&n% $^&$n#.On8$nJ'2&nK'Lbrk`_abr™`_abrp`_ 9s_f p`]Rc.%@)"br %”J '@6(/ '&n% $6n'&) 2*+›$nHk'@6&nK']RŠw'”9›') nGnF'&%n 'ˆ%9'&ˆn898/ %( % $"4,H § ,./ ?'n&%$4nZ'&/ &n '&&nn_›) %@)%(\";K' &n; &n&nF''%(*”') nq'Q/ &%( $') nZO% (nLn8]  ) n'&) n^n*„n9'%nr*„')n ,Hš'&&nnL"XnI/'n&n"'; /n2q;?'%A'%a]”!>)%n&&@)%Z‹/'n&%( $d$%('&) .H/ nQ%') n%„;;Xn]1Šw'H; UO%( n.;'&% f/'n.nC %( $\?'n;Q%7)%@)QEF/(%('P8 Z^BnH*+/ ?') n›%; UOn^98^ %('&% ; &n”nOn›'&) nG'&nK'Z]R<#n.nKOn_F') n/ &8 *1 '@d/ d%j'%(Q n;Xn 6"'&) n^ZO% (n67n7?8]Šw'3.#;B%(9'nˆ/'#%Ÿr™ ') '\n;Xn %( $ˆ'&) nd%jn*') n'_mn?8/ $nd—%( nZn7%$ %ACZF'&(8 ')nL%(7; (nn9'@k'%*1c%&@)M)'&%M*1ˆ(Z'&nQn8 / Bn]ŠPŸr™_f &%( $(n3;G)Q67n H/ ?'n% $q$%('&) HG; &;XnQ/ nH')nr&/ 7;'%* %(7%A'n"n8" / Bn]  )n84/&nO&%(/ #'@; &n&&%(4'n@) %(E/n6'Q'@%( q;K'#n; nn9'@'&%"*› '@]„ŠPŸrp_f ') n#% $(n6;#Z nr)&MLnZ ($&%A') H\; ;B&n]  ) %I%I"%; n6%; n7n9'@'&%*Hc. nK8BŸI&%$nq; ($&%A') Ÿr™_ ) nnL '; &n&&%(='n@) %EF/ n3)ZOnIXnn"/ &na]  )n8M&) nn rr

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') 'r; (%Zk'n '@Q7; n&%'&n@) %EF/ nI M 'r%(7; nOn^(/ '&nrEF/(%('P8"2/ @) ) %(nL'&) n2nOn&) n Xvwnn; %$Q*”'; &n&%4'&n@) %(EF/ nr&(n>'&) n^($v &%A') U]3c.& (n8Xb3$&%A') ‘; &n&n6'7/ % $d7; %78; &n&% &n8q; &n&&%(q($&%A') M]YŠPq; &%(d?8\; &n&&%(a_9k'@6;B%9'R)%@)7&nG/ v %(n(86'#@) $nH7n2Xn&) %;I.n&nH;/'›%(F'&J3%&&n2n'Z]  ) nH&nd% %( $;B%(9'mnn ')ndnOn„/'n&n7%('&)d6&$nGF/ \Bn*(/ '&n&”7; &n'&I'&) n3'/ F/ 2Xn”* (/ '&n]  ) %J;)&n^%(3F nJ&n84; &n&% %('#Tn'%AOn^%(3'&ZOn &n / Bn&;n398&n; &n&nF'&% $\&nA8^;@nQ;X%9'&98q') n%”(/ '&n]1!¢'%$)F'& n %('&n&%(HL/ &n—'" n'&nK'^(/ '&n&I) %@)—ZBn/ &n'"&n;&nn9'^;X%9'&]  ) n&n &/vP/ ?'n2.n&n*+/ ?') n-T%( n98—$$n&'%AOnq(/ '&n&%( $($%('); &nO%n *'&n”7n&$%( $J')n8n-?'%('&%$)9'&(82; @na] _9%&/7782c. nK8BŸ”%; n7n9'@'&% )O&%(/ -'7;&n&%(ˆ@) nn3)%@)4%(FO(OnLnOn&)nZˆXvwnn; %$d;v n&'%( ]›f&'&Mb›% $n.; &-Ÿrpf$%('&) %› &%(Z((8LJ&;Xn%Zn-*c (n8XŸ ) n&n2k*'n-(/ '&n% $ _X(a'7%("n8%-; /'#%9'77 %(&&"&n']G!%&&"&nK'3%( &%k'n%('&)nOn8(/ '&n_m %A'r9'% 6'&) nq&/%(n9'L'@k'%?'%(r*'@Q;X%9'& %Q%A'Z]  ) n6%&&nM&n'-%(.') nM'&&n'n"^n%($)9'n";X%9'G%(Q&/ &nEF/ n9'J(/ '&n% $ ] [3') nH&nnKOF'H&%$n#;&H$&%('&) ”*+.') n3&%(&;Q&n6QBn#*+/ Q%( 9rka Ž`] ,.; &n&% $2 '@rHHL?'/ %(n%(Ÿ’rk_)n&n#') n#/2Bn.*‹'&n; k'n„ nn nQF8 ')n3; (%'&% n/ X nK'P. §i: Œ#Œ H.&n/ nM987; n&%$\'&% %( $InK; n %('&)7nn; ]  ) %(„.„ n-987n'&%7'%( $J') n#; & %(%('P8L n &%A'P8*+/ '&% 1*+”')n : Œ3Œ%('&)"eI/&&%=7 n] h nnF'&(87%4 `_\7; (% $Inn'&) )BnnQ; ;B&n7*+n'n % $2*+/jj8 ; %%('&%\/ ?'n&%$'=$n2JOn?8$n2k'@Q&nK']  ) n;; &9@)%(6n ; $&n&%(On7; (% $ %rn'&n %*nZ›D, S br›'=$n›D, S _a) %(@) ) n vw%7$n2 '@]<#n.nKOn_›')n'&n&% '%(&%A'n&%*+r; $n&%(Ond7; (% $ / XnQ; %(Z'&nq%A'^ n;Xn 7/;B'&) nQ*+nZ'&/ &n*#'&) n='@n'Z]  )n8/ n rŽ

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 nŽ]ŽšJ/(%('P8_-7; /'n¢%(¨EF/&nvPn& § 0 %('n&%(a_-*^e63/ ?'n&%$ § eI, _›nOn&$nM&n=/ ?'n% $/'&% § cG, _” % $n;&q)vPvPnZ § :„ ] eI, McG,œ*+&nQ*+)&vw9vw7n ] Y +7 &3 2* n n' &3 2* n ! "$#&%(') *'n nn>> nn>n++ /! "#&%('1&* *'n n'+'nn' nZ 7A#9;:<|$%0&= nn>n nnnn+>n **n'n 7A#9B:¨$<|$%0&C&* nn>n nn'n'n'+@'n' nn'n+&* DE:F:[8 nn'nnn'@ nnnnnZ n+n> 7\" 9J%! 9KC *nnn>nn2n n&*+2 *n'n'+ L NM(O>* *'nn*n+n *'> *'*n>n'n>+& L NMQ>O>* >nn*nn+n >nnn+'+n+ >nn*nn>*  nŽ]ŸJ5J%A n&nn.%(LEF/%('P8r*fc S S4S S ,HWY!;nI'6eI, § *+&nr*+& )ˆI7n ]G!3(aO/ n#n; &n&&n%M;Bn&n9'@$n]Šw'@(%%(jnM%( %(Z'&n-4$%('&) Xn'&'&nG') 4eI,œˆMn;Bn&%n9'] :]S ' Y T :]S ^ Y T :ES ^' Y T H&3 Ur*.-rn* Ur*-r46r&,)n? U!rrW-,=55? H&3 Ur-n5,,=rr? UrHn*rr U!rW-n??&,)r ! "$#&%('P +> +2n*n' U!-nW-*,)! "$#&%('1&* nn'nn U0-n.rn)4 U!-n340,14@r 7A#9B:¨$<|$%0&= nnn> >nn3 nnn'n>n 7A#9B:¨$<|%0&C&* 2*'n +nn'6 +n DE:F:G1 >6*>n> >n>nnn 2>n'n'n 7I" 93J%! 9KC *>nn n >'+@ LQM(P>* +'6n U0-nHr*-n5r34 U!-n.r5*n346 LQMQ>P>* >+> nnn> >'nnn @X # +nn ’p

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 n7Ž]’=) nL')nd %A n&nn%E/ %A'P8*Gc : S4S _Y S ,HW‹!;&n'& ')nZOn$n7EF/%A'P8*G&nd/ ?'n&%$ˆ&/'&% I%')ndn&n\ n § cG, ]›J/(%('P8* nL/ ?'n&%$/'%M%(; /'&nMUOn#B') nInK; n_ '&)'-%_$ a']  ) n %A n&nn6%dE/ %A'P8_ HBnK*+&n_ %.nK; &n&n4G2;Bn&n9'@$nr Q%. nCn".*+(nV , 1 ¤ § 1 n pnss § Ž]Apns , & ¤ § & n pnss § Ž]App , ' ¤ § ' n pnss § Ž]ApUr ) nnc S SˆS _R S ,HWY!&nq')n7EF/(%('P84O(/ nr%('&) n7/7 r*  nŽ]Ap "cG,¢%H')nIEF/%('P87O/ n6*m'&) nr&n "(/ 7Q%(  nrŽ]bŽ] ! n$9'%AOn4O(/ n § %('@%%jnš%  (nŽ]’ % %'n7') '')n$&%A') '%(')k' / –%dBnK'&'n7;&n–'&cG,3][J/'Q*qpns&nK'Q*InK;Xn%n9'_#X') SˆS S ,HW‹!>&n6Xn''n-;&nQ'cG,™2'&%n_) %(nrc S %HXn''n#’\'%(7n]„[JMZOn&$n_ 7;&n'&^cG,3_ S ,HWY!%Jp]ŸF’2‡Xn'&'&n_ S4S p]r™^‡BnK'&'n_ =c S p]bs9rXn'&'&n]  )F/ _G'&) nˆ %A n&n n4%(;Xn?*+&7 n"* S ,HW‹!%('&) S4S %(ˆp]ŸF’Uvp]r™9¤6s]Apn p]ŸF’Uvp]sr¤6s]bŽr%A')7c S _9) %(@)%”EF/ %('&n#n]›Šw'„.H(&I&n;B?'nd%ˆ Žf')'„ n *X') n#’J2/ A'%(; n;'&%('&% %( $6($%(')7_9 ,H0„,3_,G : !_ S ,HW‹!_ S Š._F S4S 0„,3_ .=(.Z8QBnK'&'nd) n¨;&n–'cG,3]Šw'Q&)/ œXn4 'nœ'&)'Q$nK'&'&% $Xn''n &n&/ A'_›;n—'&eI,\cH,3_m*+Lˆ2/ A'%(; n^;'%A'%(2 %( %$ˆ($%(')dZ8 n;Bn =') n6n &n2 (nJ&%(jn6M)U¢'&) n6n n2n3.GnZ'&na]”ŠP Ž`_') n3n n2 (n &%(jn3.G2/@)M%$$n'&)Q.n6/&n]”•nJ&nZk'nM=n &n2 n#*+&£ %T%9'.&/ n'&'& ; /'3q&n?'%'&%MM') nI&%(jnI*R'&) nLn &n2 (n2 M; UO%( n\&n6*+nX]G[6n ’r

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7n8%&n&n7') nQn &n2 nd&%jn_”/ % $nOn&; ;Xn;?'%A'% \I') n*+/„'@4n'^ 987') nH&nnKOF'H7nK') a_B'&)d*+Hn9'%d&nM QBnX &n"; ; &@) n][6/ 7%; / ;Bn) n&nd.L'&4&)U'&)'2/&%$ˆ%n9'%(Z„n n2n_› nd&n;&nn9'nF8 n9'&% 7 n-&n;&nn9'nQ987Xn On'&&_')n#n9'%7&n;; &9@);Bn*+7 7; A8q'^2BnXOnK'G&nM;; &9@)a_) %(n3;&nO% %( $2&/;Bn&%&%('P8%('n7* '%(7n7 —&;nQ; (nK%('P8_m) %(@).nd%(” %(&/&^k'n]ˆcnZ/ &nnQn %/ &%( $ 2 %% $&$n”YOn8I$n”'#&nK'_%r') %(Drn.&n'n2n n2nm%L#Z n *+7nK.f_ ')'%(_*+… %(+T%(9'G&/ &n'&] 3')n% $n\; &r)^7n 6nK;Xn%n9' § :„ _anZ@)'%(7nI') n^F/ \Bn6*.nFv ; n9n=%nEF/Y'&'&) nI/2Bn#*›nK; (n; &n&nF'3%"/ n'Z]Gn7;n_ *+„ŠP&%(HŽ9B_F) %(@)Q7n .%A'”H. %(O%n%(F'&2Ž\/ n'_f : %(X(9nKK'(8"pUŽI*‹')n nK; (nI%9'=n8k'\='%(7n]  (n7Ž]™=&) nI') n %( Bnn nd%(EF/%('P84*Gc S S4S _Y S ,HW‹!;n'Q')n7ZOn$nqE/ %A'P84*„') nq% $(n2;r)&vPvPnZ ($&%A') § :„ ]  ) nI %( Bnn nI%(=E/ %A'P8%=;Xnn9'$nr%G nKC n4G*+(nV , 1 _^¤ § 1 n _^ _^ pnss § Ž]ApnŽ ,^ & _^¤ § & n _^ _^ pnss § Ž]ApZ , ' _^¤ § ' n _^ `^ pnss § Ž]ApU’ ) nndc S S4S _Y S ,HWY!£n2') n70¨O/ n6%4')n/7 3*  (nqŽ]Ap7 : %„') n#EF/%A'P8^O/ n#*a'&) n#'&) %(/ 7%(  n#Ž]bŽ]›!n$9'&%(On#O/n § %A'@(%%jn %  (nqŽ]™=% %'nJ')'6'&) n7$&%('&) %') 'I(/ 7%(6BnK'&'&nI;n'" : ] ’Ž

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[J/'r*-pnsn;Xn%n9'_ S4S %rt7'&%nJXn''nJ'&) : *+(UnˆF8 S ,HW‹!\_‹™'%(7n_ c S _aQ'%n]  )F/ rn &n2 nq&n;; &9@) nL&n\ 'IAHZ86BnK'&'&nJ') : 4 nKOn?') nn&_B&n&/ A'% %Zk'n6')k'3a2/('%(; n#(/ '&n&%( $7$&%('&) _ˆZOn$nLnOn (R'Mn'&L n;Bn&%n9'&_m&n^Xn''nr7; &n'&4 : ]‹!#On&$nq%; &nOnn9'r* S ,HW‹!\_9;&n2'I : _9%”r]9’Q_ S4S %(”r]b™9t_9q*+1c S %”r]b9sQ]  ) nG %( Bnn n %L;Bn*+d n„BnK'P.nn S ,HW‹! S4S %mr]b9’Uv?r]™9t¤rs](pn- LBnK'P.nn S ,HW‹!– c S r]b9’Uv?r]b9s¤rs]bF’\Q_ )%@)M&) n') nK8M&n67; n]  n.Ž]’#5J%( Bnn n.%(\EF/(%('P8I*fc S S4S S ,HW‹!–;n\'&6cG, § *+&nI*+& )ˆI7n ]G!3(aO/ n#n; &n&&n%M;Bn&n9'@$n]Šw'@(%%(jnM%( %(Z'&n-4$%('&) Xn'&'&nG') ˆcH,¨MMnK;Xn&%(7n9'Z] :ES ' T :ES m ' T :]S T H&3 U0nN4-n5*-,3 U*Wn??n*?n UW,=.?54@?46r H&3 U!r*-nZ,=5n* UrH*5n55 Urr*.nr*?4 /! "#&%(') U0-n,=*?n-n? U0-nH=4,14 U0-nQ4@?446 ! "$#&%('1&* U0-nr*5n*555 U!rnr34 U/W-+4&* 7A#9B:¨$<|$%0&= 2* +'n'n' n'' 7A#9V:¨$<|%0&C&* nn>nn' U*H*34,)r U!rW+434* DE:F:G1 'n>n' >'n> '*>n>n 7I" 93J%! 9KC 2*n'+n + >>nn>n'+ LQM()>* U0-nr-n?&, U0-nZ,3-? U0-nZ,)nr LQMQ>)>* >'nn '+nnn >>n @X # +@6*' M(>n'nn' M(2*n'n' ŠP  nˆŽ]t') nZOn$n4&;Xnn¢/ ;œ*r/ 7nF'&&%(–n¢n&n\ n$%('&) 7_ c S SˆS _a7;&n4'&') n^XnmOnK'6&n($%(')"_ S ,HW‹!\_‹%(3) na]\•n nK/ nŠP%^^%('^%(\'&7„'Xn nKC 'Z]  ) n=&n/ ('&^%  (n=Ž]tˆ) n'&)'^')n &;XnnvP/;—*+&c S S4S .LOn8&$nq7n %/ L&$n '@M&n'&]"[J—')n Sˆh Š`v?r# '@3n'_) %@)^9'@%( 1X/'RJ%(%3nK; n_9c S .›n') 2&%2)F/ v nˆ'&) / & 4'%(7nG*i'&n#'&) S ,HWY!L_X)%n S4S .3nOn3'P)F/ n4'&) / & ’

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 nHŽ]™65J%A n&n nH%(^EF/%A'P8I*Bc S S4S _9 S ,HW‹!œ7;&n2'&I :–§ *+&nL*+& )ˆI7n ]G!3(aO/ n#n; &n&&n%M;Bn&n9'@$n]Šw'@(%%(jnM%( %(Z'&n-4$%('&) Xn'&'&nG') 4 : MMnK;Bn&%(7nF'] :ES +7 T :ES m 7 T :ES +7 T &3 Ur34@,=*55*Ur&,)N45r?4 U!r?W@,)5*&3 Ur,=)40,)-+46Ur*.-=46r U!r?,3nr /0 "$#&%(') U0-nZ,,=?5* U0-nH*34*? U!-N464&* ! "$#&%('8&* +n U!r*r?*-? Ur*??-+46-n? 7A#9B:¨$<|%0&= +n'nn>n'n U0-nZ,)-+4&-n ++'n>n' 78#9;:¨$<|$%0&C&* n* U*Hr??r, Ur*.n?*r*Da:b:G1 Z3n >Zn'nnn 7\" 9J%! 9KC >>&* 33> >>n LQM(P>* U0-n.rn*r*-*-n5 U0-n.?*-n=46? U!-,=5,=46 LQMQ>P>* >n>n*>n n'n'nnn> >nn @X # 2n* MQ>'* MQ>nn3 '%(7nG*i'&n]Šw'3nn7*+&‘') nI&n&/ A'')'3c S S4S )ZOn2(7?''@F'-'%(7n 7; (nK%('P8_') '›%(_%( n;Xn n9'”*X'3&nK'”&%(jn_)%n„%('&) S ,HW‹!œ%('R$&n›%('&)2' &%(jn]  ) nn'&%Z'%(7n-; (nK%('P8dA8&%„%(BXnJ %(&/&&n"'n]›Šw'H&) /QXn6 'n ') 'H*+ S"h Š`vgr_'&) n6$n?'G'2&nK'Z_ S ,HW‹!MZOn$nJ'dB/'Ž]b^) / _)%n c S SˆS 'Q A8=s]bs9r7 4s]bs™q&n J&n&;Xn'&%(On(8]W‹F%( $dk'#'&) nL9'&'_ %('›&nn7 S ,HW‹!¨ q'&) n1%%YXnOnK'”&n2/ A'%(; n;'&%('&% %( $J$%('&) 7_ )ZO% $6%%‹'%n.; n%A'P8_%$)F'm '›BnGZ n„*+›&$nROn82$n.k'@J&nK'] a<‹( †D z6mmiMzC@‹1Fki—BU ŠP') %(7n'&%')n"&nM;'&%('&% _„'&) nMn n2 (n_„.n&nˆ$n n'&n/&%$')n *+/ jj89vPvPnZ Q($&%A') M]•nˆ / K'n¨;&%(&nK;Xn&%(7n9'd%%2'') n %('&)')nˆ)–n&n\ n]  )k'%_H') nˆŽ—2/ A'%(; n=;?'%A'%š2 %( %$($&%A') %(Xn7; &n7$ˆ') n7nAOnq %(')eL, cG,(& ]  ) nQ %A n&n nQ%( ’’

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 nJŽ]t  %n37; /'n=%(&n ].;Bnn=/ ;Q*Dc S S4S ;nd'& S ,HW‹! § *+&n*+ )dnZ ]4 N vgc S _› N v S4S nZ')nd&;Xnn/ ;/ % $4c.%;'%A'n n&$nG S4S &n&;Xn'&%(On(8] ^' m +c`M ' +cdM m /! "#&%('P +n> +n'n> +n'n> n + ! "$#&%('1&* n>nn> +* +>n n2 &+'n 7A#9B:¨$<|$%0= +' +nn> +n +2*' 7A#9;:<|$%0&C&* >n'n' +nn' +>nn +nn n' DE:F:G1 >n>n'n +3& +*n *n >n>n 7I" 9J%! 9CC *>n +> +*' 63 LQM()>* 6*n +>+ +'n>n' @'n nnn>n LQMQ>)>* n+>n +>n>n> +'n 'n>n*'n >+nn+2 EF/(%('P8 § 5r *#'&) nM*+/jj8n/ ('&7%(^nO/ 'n/ % $')nM&n=*+&2/ qq/ n–%( ')n) &vwn n2n^nK;Xn%n9'_mnE/ '%( § Ž]’ '& § Ž]ApUr ]  ) nq (8ˆ %( Bnn n^*+& ')nd)—n &n2 n7nK;Xn&%(7n9'\%(6')'In ˆ'\;&nq')ndŽM2/ ('&%; (n^;?'%('&% 2 %% $\$&%('&) _c S S4S S ,HW‹!\_%A')M : XnZ/ &nI : %HLO&%9'H*Y')n )vPvw7n -$&%A') M]” _nLXn(%nKOn_f7; &%( $2*+/ jjK8Mn n2 (nLn/ ('&%A')M%('%( '-; ; &; &%'n] !3 S ,HW‹!Zd A8q7n&$n-;?'%A'% 1%q') n-*+&‡*aBnfOnK'_ I%&;7;?'%('&% *B') n*+/ jjK8n9'&&%( %('&) n-n n2 (n-.'@% nd*'&n„&%$ % $LnK; nG'&L')n n&n'n9'&%a]„Hc S S4S _'&) nJ*+/ jjK8Qn9'&% G%(d') n6n &n2 (nJ.n&nr7n&$n ''@%(š$ n9'%]!…&%(&;;?'%('&%H2'&) nš'%n98&%$ % $4 nK; (n"'') n" nZn?'=n9'&&%(a]  ) nˆE/ %A'P8* S ,HW‹!\_Hc S _H S4S .d')n nO(/'&n=/ &%( $q') nL0n'&&%(]  ndŽ]"&) n\'&) nEF/(%('P8%07nK'&%(7*H') nŽ"2/ A'%(; nq;?'%A'%2 %( % $ ($&%A') _Xc S S4S _‹ S ,HW‹!\]Y[J/'J*-pnsd&nK'r*”n;Xn%n9'6nOnr(mk'@&nK'_ X') S4S S ,HW‹!œ.n&n-Bn'„6'%(7n1 7c S r3'%n49%('”nn1*+›*+/ jj8^n &n2 n ’™

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X') S4S S ,HW‹!–;Bn*+7n^BnK'&'&n›7; &n2'rc S ]  ) nGXn'0O/n § nn' nH%('%(%jnL%\'&) n.'@ n]RŠP  n.Ž]_') nG%( Bn&n n1%^EF/(%('P8I*Bc S S4S *+& S ,HW‹!.n&nI; /'&na]  nrŽ]b) n#'&)'-/'-*D') npns^&nK'#*Rn;Bn&%n9'&_ S4S .\Xn''n\’='&%nI c S (8ŽM'&%n]d•¢) nc S S4S .LBnK'&'nL;&n S ,HW‹!%M') n\' (n_f') n\O(/ n3&nL%('%(%jna]GŠw'J%-%9'n&n?'%( $d'd 'nI')k'J/ (%n ')n) &vwn n2n^Z&n_ S4S ZOn$n_mnOnIm'M nK;Bn&%(7nF'&_‹.LXn''n 7;&n4'& S ,HW‹!\_a98s]rsQ_a)%n S ,HW‹!%3%($)9'(8MXn''nJ'&)c S 98s]b94 ) nnOn_f') nrEF/(%('P8d %( Bnn nL7$q'&) n/ &%( $^*+/ jjK8=n n2 (nG.3&qd(`]  nŽ]b6/ %A'P8_3; /'n%(¨EF/&nvPn& § 0 &%A'n%_J*\c.%;'%A'n S n&$n § c S4 S n'&% S n$n §`S4Sˆ S n'@\,./ ?'n&%$2($&%A') § :„ ; /'&n/&%$L')n 07nK'%]mcHnH(/ '&n% $3*+&n\*+*+/ jjK8FvwvPnZ ]›Šw'@%%jn\%( %(Z'&nm'&) nH(Un?' 0O(/ n6%M=n;Xn%n9'Z] ' m ^ &3 -n,= +' +n> &3 2n 'n 4@5 ! "$#&%(') nn* nn+@Z --+46.nr ! "$#&%('1&* n' n'nn' *?5*-r*7A#9V:¨$<|$%0= +nn'n>n'n r&,=5*&,)-n.5n +@n' 7A#9V:¨$<|$%0C&* nn>>n'nn r&,C4@5346,=5.5? **n DE:F:G1 *nZ *nn>+ ,)-,)-rW 7\" 9J%! 9KC n'nnn ,,=r*rr5.rn n'nn>n+'n LQM()>* +nn'nnn ?*-r46--5N46? +n'*'n' LQMQ>)>* 5*n?n*-n*H*? >nn'n'nnnn>nn' >nn'n'n'>n'n>n  nˆŽ](pZs—&) n'&) n4ZOn$n4EF/%A'P8š*LeL,… œcG,…nK;Xn%n9']  nˆŽ](pp &)U') nJEF/%('P8q%( Bn&n n#%;XnnF'$nJ*Yc S S4S S ,HW‹!;&n7'&qeL,3]  ) nZnr) nc S SˆS S ,HW‹!.n&nBnK'&'&n § n$9'%AOnqF/ 2Xn ;&n'& eI,3_1&nQ%A'@(%%jna]f'&) nQ&n&/ A'_HeI,‡.qXn'&'&nq7;&n'&'&) nQ2/ A'%(; n ;?'%A'%\ % %( $($%(')7_1c S S4S _1 S ,HW‹!\_›*+\7?'qZn]š[6/'q*Ipns ’t

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Z&n_ SˆS .rBnK'&'&nJ') eI,%rZnI A8_ S ,HW‹!%pqZ&n_Dc S %( n]  ) n^ZOn$n^&n&/ A'3nOnr(D '@dn'&6 n;Xn%n9'J&nL&) n%  n2Ž](pp2 &n[nK'.'&)'Z_eI,šH.Xn'&'&n”') S4S 987s]b™F_ S ,HW‹!987s]b9’_ c S 98"p]Žs4 ) nnOn_Y $q')n\') nn S4S H3') nLBn'_(&n'#'=eI,3_X*+nnM98 S ,HW‹!‡ c S ]m_m$(m*+/ jjK8/ ?'n&%$"nnr'ˆXnqEF/ %('&n7 / ?'L) n7;&n'M$( )"/ ?'n&%$ ]  nŽ]5J%A n&nnQ%EF/%('P8*#c S S4S 7;&n'& S ,HW‹! § *+7n*+& *+/ jj8Q6nZ ]1!#O(/ n.nK; &n&n4%(Q;Bn&n9'@$n]Šw'%(%(jnd% %(Z'&nG"$%('&) Xn'&'&nG') S ,HWY!MMnK;Xn%n9'Z] :ES ' T :ES m ^ T U!-.-,)5*+44 +n'n>nn +*nnn' ++*3 ! "$#&%('P +23nn'n> +nnn ! "$#&%('8&* +>n'nn +>*> 7A#9;:<|$%0&= +*n>nn U0-nH@,=?55n 7A#9;:<|$%0&C&* 2*+&n U0-n.-&,3*54 Da:b:G1 +*>+> +>+nn> 7\" 9J%! 9KC +>+&'n>n> U/,*,C46+4 LQM(P>* U!-.-n?,C4*r U0-n.?rn- LQMQ>P>* U!-.--*,, U0-n.-*-*,, @X # n'n>n •¢) n7;&n4'&McG,%(  n^Ž](pUr_‹%('3.r n?On')k'6/'r*-pns&nrB'&) S4S S ,HW‹!n&nIXn'&'&n')ˆcG,¨%"™&n_B "c S Xn''n') ˆcH,%"Ž&n A8][J–ZOn$n_HnOnd(G'n'7 nK;Xn&%(7n9'_H.'&) &nn"\/ ('&%; (n;?'%('&% ($&%A') rndXn'&'&n\'&)cH,3]  ) ndBn'^%( S4S *+nnF8 S ,HW‹!c S ]  ) n %A n&nnr%=;Xn*+&7 nr7$q'&) n6') nn_;nQ'7cG,3_ .&7] •—nI(&2n7;%&%(Z((8qnKO/'&nQ')nrnOn&$nr&;Xnn"/ ;Q*+c S SˆS ;&n S ,HW‹!\]%(7%(„'q') nI)ˆn&n\ nInK;Xn&%(7n9'_f')nLn&/('-%  nIŽ]ApnŽq&) n ’

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') 'I&;XnnvP/ ;*+Ic S SˆS .IOn?8$n_‹') 'I%_Y*„')n7 nr*)F/ n L* ')/ '%n]  nŽ]ApUr=5J%( Bnn n%(EF/%('P8ˆ*Gc S S4S _D S ,HW‹!‘7; &n'&ˆcG, § *+7n *+& *+/ jj8œˆ7n ]!#-O/ nnK; n&n%(–;Xn&n9'@$n]Šw'@(%%(jn–% %Zk'n ($&%A') Xn''nG'&)"cG,¨MMnK;Xn%n9'Z] :]S ' T :ES m ' T :ES T Ur.5rn@,)+4 U!rW*r5*-r U!r,C46r4 U/*W-n??*??* U4@*?*,= U*.r?*-*-! "$#&%('P ++ +Znnn> U0-nH?5?*rn ! "$#&%('8&* +>nnn +n+*' U0-nW--*r*r*7A#9;:<|$%0&= +'n*n U0-nnr*+2*nn6 7A#9;:<|$%0&C&* >n>n U/H54 U/.r4@?*-?5 Da:b:G1 n 2**' >nn'*n 7\" 9J%! 9KC 2*nn>n>+ U!r.r54@r&,)? >n+nn LQM(P>* 2'n'n>n +n> nn>+n LQMQ>P>* U!-nW--+nr U0-nW--nrn U0-nW---+ @X # n MN+Znnn>+ ŠP&/ d8_rnš;&n') n'&) &nn2/ A'%;n;'&%('&%2% %( $œ($&%A') $q') n7nAOn3 M%(')ˆeI,3_BcH,3_B :>§ *+)&"n n2nInK;Bn&%(7nF'&# (8 ] r)—n&n\ n7nK;Bn&%(7nF'&_R7 $ˆc S SˆS _R S ,HW‹!L_ S ,HW‹!£HL&(%$)9'A8 Xn'&'&n.'&) S4S S4S %$)F'&(8qXn''nH'&)=c S ] .*+/ jj8dn n2 (nJnK;Xn%n9'_ $c S S4S _1 S ,HW‹!\_ S4S .^&(%$)9'A8BnK'&'n^') S ,HWY!L_” S4S &(%$)9'&(8Xn''nI')c S ]mIB'&)—)&—n &n2 (n *+/ jjK8n &n2 (ndnK;Xn%n9'_ 7;&n'&ˆeI,3_‹cG,3_Y :‡§ *+J)n &n2 (nI (8 _anF'&&%( &n2 %( % $ ($&%A') H "XnBOnK'-n"$&%('&) n&nI7; (n] W‹F%( $3k'D'&) n'&%n›'@n^ \;Bnn2/ ;I*+&/&%$-'&) nn9'%Rn^$%('&) 7_ c S S4S _R%A'2nn2') '\*+IOn8&$n2n'&n7nd'@"&n'&^Xn”On'&^n ; ;&9@)nqdZ8— 'qXnQ&Z (n]Šw'q%2'/ n') 'q%798Z&nq&n=(/ '&n&%( $^%( ™s

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 nŽ](pnŽ  %(7nH; /'n7%(^&n ];Xnn/ ;*c S S4S ;&n^' S ,HW‹! § *+/jj82n n2 (n ]” N vPc S _F N v SˆS nZ2'&) nG&;Xnn7/;7/ % $rc%;?'%A'n.n$n1 S4S &n&;XnK'%(OnA8] ^ ' ^ +cdM ' +c`M ^ /! "#&%(') +n'+> +n +n'n' &n> + /! "#&%('1&* n>n +n +> n> &+2* 78#9;:¨$<|$%0&= +' +nn' +*> >+n> 78#9;:¨$<|$%0&C&* >n'n +n'n + *>+n >n DE:F:[8 >n>n2* +*> +*'n> nn>+ >nnn>n 7I" 9J%! 9KC *>n ++& +*n' *nn'n>>n @nn L NM()>* 63Z + +'nn> n>n>n nn> L NMQ>)>* n& +>+> +'* 'nn+'n >+n'nn+ ')n7*+*ˆn9'&%—On'&27Z8'\n%' § % ›*+nZ'&/ &n 4„)UnOn_”'&) nnQn 798q 7% ”*+”) %@) *+n'/ n.&n#/7n&%]1„nK; n_Xn% n.798$n n&%( 'J&nK'_9%(d$n;&n&%( $r ^798\') n›2/ A'%;Bn'&%7$%( $#d% _%/ % $ S $ n'&%r&n& n\ ˆ&'n(%('n6%(d$% $2'-(.n8-)ZOnL (8/7n&%6*+n'/ n] •nqQ;n4')n^E/ %A'P8ˆ*„2/('%(; nI;?'%A'% % $2 %% $Q$%('&) 7%('&) &%( $(n„; &1$%('&) § :„ '#'&/ 8I') n; &R L m*X')L*+n&F]  ) nHn/ ('& % %'n\'&)'rn &n2 n^ &n—($%(')7_ac S S4S S ,HW‹!\_‹ZOn$nqnOnI '\&nK'G nK;Xn%n9'.nnJXn'&'&n„')d&%$n-;H)vPvPnZ ]  )nJ %( Bnn n %ˆE/ %A'P8Q%(')ˆ&%$nL;&#H3 'JOn8ˆ2/ @)a_B% %Zk'%$d&%( $(nL;&6($%(')7-n 4;X'nF'&%((8$Z % 'nd*+\&%( $ˆ'&$n7 '@4n'] _›.nQn7%( n—B'&) & %(%('P8Q 4EF/(%('P8=%&/ nJ*1\/ ('&%; (n6;'&%('&%M\ % %( $7$&%('&) H*+#&$nI On8M&$nr'n'&398MnK;Bn&%(7nF'&% $4t&n‹'7n'-*+&‘O&%/ #d% ]•n )ZOn„&)UL')'D/Dn9'%InLn n2 (nn$%$$&%('&) anXn''nYDY$ ^BnBOn'&&n"n &n2 (n67n&$%( $^($&%A') M_ S ,HW‹!\_ ) %(nJXn%( $q&n]RŠw' &)U”BnOnK'_9) %@)nGJ) %($)2&n&(/'%(2n; n&n9'@'&%q*BJ(/ '&n% $J/'% ™p

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F'%% $q^BnB*+HnKOn8=nK; (n6%=^'qn'_ q ')ZOnr2/@)ˆOF'$n6nOn \n9'% &nMn; nn9'@'&%]1!n9'&%QnQn; n&n9'@'&%Q%(.%(n(8^'\Bn3\n &n&(/'%(dn; nn9'@'&%MF/ 2XnH*Y/ ?'n&G%„'P8; %A8q2/ @)Qn&.'&)F/ \BnH* nK; (n%Q&$n6HOn?8=$n6'^&n'&] ae JF|wfk—D"=DDF8wf|LBnUXD\DUD=zGf”\H†GnFkY ŠPš(.nK;Xn%n9'_n"&&/7nš'&) nQ'nn"& 7A8— %AO% nš%(9'nEF/ &%(jnJ/ n'G%]bn]›nZ@)M/ n'F'%H\/ %(*+n(82@) $%( $2 %('&&%/'%(7*+£ &n]”c./'”%('›7%($)9'› '„(.n8”XnH'&/n_Fn;Bn%(8I) n7k'@6%1&n8\/'n&na]1ŠP ')%”Zn#n3)ZOn-'&\; UO%( n3rF nn $n3n/ n#*+&7nK.&f]”nnQ %('% /'% 1dZ8 (&6nK%('„%^; )98&%(Z((8\ %?'&%( /'&nq'_F ^')n&n7Z82Xn-I@) n*B) $n %j% $ ')nd %('% /'n&%A'nL / n'ˆ;&%(OK8; &n&nO% $ˆ%&/ nQbr_ŽŽ_Ž`] S &nnOn_R%—n Z&nI nq6n^/'n&%( $=&(/'%( J%('&) nqn n2nqdZ8ˆBnq %(8]2•—nqnZ'&n 'P8;Bn*B/ F n %?'&%( /'&%2/&%$r'&) nŽ6&7'rn'&„ŠP%_ : nd5J%$%A'_ qŠPnK' &) nQ%  n3pZ\'&dpn™L&n;Bn'&%(On(8]›•—nJ@)&n3'&) nnJ'Ln'GXn/ n3') nK87nn &7(‹ ") n n\n8='7(8jnr; (/ -'&) n8=) nOnL'&&/ nIXn(]„!3(a') nn\ '@q&nK'#nn %AO%( nš%9'&; ;&Z%7'n(8nEF/-&%jn&/ n'&-4J¤I’4*+ŠP&%(_.¤2pns*+ : nœ5J%($%('&_ ¤^pZsd*+JŠP&n'™]LfJ(m')n^'@n'&_Ds9*”') n^/ n'_mQ/ n'r*+JŠP%_‹ *+ : n5J%$%('r —%(&(n'@™_D) nOndn 7; (nr*+&'\(nZ?'I n&I7%(&&%( $" —) nOn š/ F n %('&&%/'%(*Jn7;n_HF% *#&nK.nœ %?'% /'&%]  )n&n"n O&%(/ 3.Z8I*.&nZk'%$=/ F n%'&&%( /'%(a]6•nq& %A'&&%((8=nZ'&n n2*+ nZ@)M '@\n']  )n6; / &;Xn6%'&2; UO%( nr/ n'@ %$*‹') n6;Xn?*+&7 n3*Y')n ($&%A') 3%( n^'P8;Bnq*„ %84&n''%( $ § 7(*+7nˆn9'% ]qR%($/ n6Q'M™Q&) n ')n2ZOn$n\&n/ ('&#*+’s7& n;Xn%n9'34ŠP&%(_ : n5J%$%A'_f ˆ')n\ŠP&n'™ '4&nK'^&n&;XnK'%(OnA8]0R;Xn&%(7n9'@&n/ ('&^n&n\ nq*+&n—*+X'&))&v vPnZL *+/jj89vw9vw7n L&nq; nO%( n]dŠP') nqC$/ n_Rc SM nZ 6'&) nqn n2 (n ™9r

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Hore, Prodip.
0 245
Scalable frameworks and algorithms for cluster ensembles and clustering data streams
h [electronic resource] /
by Prodip Hore.
260
[Tampa, Fla.] :
b University of South Florida,
2007.
520
ABSTRACT: Clustering algorithms are an important tool for data mining and data analysis purposes. Clustering algorithms fall under the category of unsupervised learning algorithms, which can group patterns without an external teacher or labels using some kind of similarity metric. Clustering algorithms are generally iterative in nature and computationally intensive. They will have disk accesses in every iteration for data sets larger than memory, making the algorithms unacceptably slow. Data could be processed in chunks, which fit into memory, to provide a scalable framework. Multiple processors may be used to process chunks in parallel. Clustering solutions from each chunk together form an ensemble and can be merged to provide a global solution. So, merging multiple clustering solutions, an ensemble, is important for providing a scalable framework.Combining multiple clustering solutions or partitions, is also important for obtaining a robust clustering solution, merging distributed clustering solutions, and providing a knowledge reuse and privacy preserving data mining framework. Here we address combining multiple clustering solutions in a scalable framework. We also propose algorithms for incrementally clustering large or very large data sets. We propose an algorithm that can cluster large data sets through a single pass. This algorithm is also extended to handle clustering infinite data streams. These types of incremental/online algorithms can be used for real time processing as they don't revisit data and are capable of processing data streams under the constraint of limited buffer size and computational time. Thus, different frameworks/algorithms have been proposed to address scalability issues in different settings.To our knowledge we are the first to introduce scalable algorithms for merging cluster ensembles, in terms of time and space complexity, on large real world data sets. We are also the first to introduce single pass and streaming variants of the fuzzy c means algorithm. We have evaluated the performance of our proposed frameworks/algorithms both on artificial and large real world data sets. A comparison of our algorithms with other relevant algorithms is discussed. These comparisons show the scalability and effectiveness of the partitions created by these new algorithms.
502
Dissertation (Ph.D.)--University of South Florida, 2007.
504
Includes bibliographical references.
516
Text (Electronic dissertation) in PDF format.
538
System requirements: World Wide Web browser and PDF reader.
Mode of access: World Wide Web.
500
Title from PDF of title page.
Document formatted into pages; contains 129 pages.
Includes vita.
590
Advisor: Lawrence O. Hall, Ph.D.
653
Partitioning.
Hard-c-means.
Fuzzy-c-means.
Scalability.
Merging.
Streaming.
690
Dissertations, Academic
z USF
x Computer Science and Engineering
Doctoral.
773
t USF Electronic Theses and Dissertations.
4 856
u http://digital.lib.usf.edu/?e14.2135