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¡¾Ô´´¡¿·ÖÏíÒ»¸ömatlab±àдµÄÄ£ºýKNNµÄÀý×Ó£¬¾¹ýÑé֤Ч¹û²»´í¡£ ÒÑÓÐ12È˲ÎÓë
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·ÖÏíÒ»¸öÄ£ºýKNNµÄÀý×Ó£¬¾¹ý²âÊÔЧ¹û²»´í¡£ ½¨Òé´ó¼ÒÔÚʹÓõÄʱºò£¬ÒýÓÃÒ»ÏÂ×÷ÕßµÄÎÄÕ¡£ function [predicted,memberships, numhits] = fknn(data, labels, test, ... testlabels, k_values, info, fuzzy) % FKNN Fuzzy k-nearest neighbor classification algorithm. % Y = FKNN(DATA, LABELS, TEST, TESTLABELS, K, INFO) Runs fuzzy % k-nearest neighbors on the given data. DATA is a N-by-D data matrix % consisting of N patterns each of which is D-dimensional. LABELS is a % N-vector containing the class labels (1,2,...,C) for each pattern. % TEST is a M-by-D matrix consisting of M test patterns. TESTLABELS % is an optional M-vector for the true class labels of the given test % data. If you don't have true labels, just give an empty matrix for this % TESTLABELS. % K is the number of nearest neighbors to look at. % The algorithm will print an information line at every INFO test % patterns, if INFO>0. If INFO is zero, nothing will be printed. % Y is a M-vector containing the predicted class labels for the given test % patterns. % % [Y,MEMS,HITS] = FKNN(DATA, LABELS, TEST, TESTLABELS, K, INFO) returns % the fuzzy class-memberships values in MEMS, for each test pattern. It is % a M-by-C matrix, C being the number of classes. % HITS is the number of correctly predicted test patterns. Note that HITS % is meaningless if TESTLABELS is not provided. % % [Y,MEMS,HITS] = FKNN(DATA, LABELS, TEST, TESTLABELS, K, INFO, FUZZY) If % you don't want to do "fuzzy" k-nn, then give FUZZY as 'false'. % % This m-file is capable of testing several k-values simultaneously. If % you pass a vector of k-values, rather than a single scalar, in K, then % each output variable is populated accordingly. So, if you give K as % [5 10 15], then Y becomes M-by-3, MEMS M-by-C-by-3 and HITS 3-by-1. % % References: % J. M. Keller, M. R. Gray, and J. A. Givens, Jr., % "A Fuzzy K-Nearest Neighbor Algorithm", % IEEE Transactions on Systems, Man, and Cybernetics, % Vol. 15, No. 4, pp. 580-585. % % TODO: Generalize this m-file to Lp norm % % Emre Akbas [eakbas2 @ uiuc.edu] Dec 2006. % if nargin<7 fuzzy = true; end num_train = size(data,1); num_test = size(test,1); % scaling factor for fuzzy weights. see [1] for details m = 2; % convert class labels to unary membership vectors (of 1s and 0s) max_class = max(labels); temp = zeros(length(labels),max_class); for i=1:num_train temp(i, = [zeros(1, labels(i)-1) 1 zeros(1,max_class - labels(i))];end labels = temp; clear temp; % allocate space for storing predicted labels predicted = zeros(num_test, length(k_values)); % allocate space for 'numhits'. This will only be used if 'testlabels' is % provided numhits = zeros(length(k_values),1); % will the memberships be stored? if yes, allocate space store_memberships = false; if nargout > 1, store_memberships=true; memberships = zeros(num_test, max_class, length(k_values)); end %% BEGIN kNN % for each test point, do: t0=clock; tstart = t0; for i=1:num_test distances = (repmat(test(i, , num_train,1) - data).^2;% for efficiency, no need to take sqrt since it is a non-decreasing function distances = sum(distances,2)'; % sort the distances [junk, indeces] = sort(distances); for k=1:length(k_values) neighbor_index = indeces(1:k_values(k)); weight = ones(1,length(neighbor_index)); if fuzzy, % originally, this weight calculation should be: % weight = distances(neighbor_index).^(-2/(m-1)); % but since we didn't take sqrt above and the inverse 2th power % the weights are: % weight = sqrt(distances(neighbor_index)).^(-2/(m-1)); % which is equaliavent to: weight = distances(neighbor_index).^(-1/(m-1)); % set the Inf (infite) weights, if there are any, to 1. if max(isinf(weight)) warning(['Some of the weights are Inf for sample: ' ... num2str(i) '. These weights are set to 1.']); weight(isinf(weight))=1; end end test_out = weight*labels(neighbor_index, /(sum(weight));if store_memberships, memberships(i,:,k) = test_out; end; % find predicted class (the one with the max. fuzzy vote) [junk, index_of_max] = max(test_out'); predicted(i,k) = index_of_max; % compute current hit rate, if test labels are given if ~isempty(testlabels) && predicted(i,k)==testlabels(i) numhits(k) = numhits(k)+1; end end % print info if mod(i,info)==0 elapsed = etime(clock, t0); fprintf(1,['%dth sample done. Elapsed (from previous info): %.2f' ... ' sn. Estimated left: %.2f sn.\n\tHit rate(s) so far: '], ... i, elapsed, etime(clock, tstart)*((num_test-i)/i) ); for k=1:length(k_values) fprintf(1,'%3d: %.3f\t',k_values(k), 100*numhits(k)/i); end fprintf(1,'\n'); t0=clock; % start timer again end end |
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= [zeros(1, labels(i)-1) 1 zeros(1,max_class - labels(i))];
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