A finite algorithm for finding the projection of a point onto the Canonical simplex of Rn
Journal of Optimization Theory and Applications
SIAM Review
Cluster analysis and mathematical programming
Mathematical Programming: Series A and B - Special issue: papers from ismp97, the 16th international symposium on mathematical programming, Lausanne EPFL
Semidefinite programming relaxations for the graph partitioning problem
Discrete Applied Mathematics - Special issue on the satisfiability problem and Boolean functions
SIGIR '02 Proceedings of the 25th annual international ACM SIGIR conference on Research and development in information retrieval
SIAM Journal on Optimization
Solving Large-Scale Sparse Semidefinite Programs for Combinatorial Optimization
SIAM Journal on Optimization
Semidefinite and Lagrangian Relaxations for Hard Combinatorial Problems
Proceedings of the 19th IFIP TC7 Conference on System Modelling and Optimization: Methods, Theory and Applications
Semidefinite programming for discrete optimization and matrix completion problems
Discrete Applied Mathematics
A local search approximation algorithm for k-means clustering
Computational Geometry: Theory and Applications - Special issue on the 18th annual symposium on computational geometrySoCG2002
Approximating K-means-type Clustering via Semidefinite Programming
SIAM Journal on Optimization
Computing the Stability Number of a Graph Via Linear and Semidefinite Programming
SIAM Journal on Optimization
Multidimensional cluster stability analysis from a Brazilian Bradyrhizobium sp. RFLP/PCR data set
Journal of Computational and Applied Mathematics
On optimum choice of k in nearest neighbor classification
Computational Statistics & Data Analysis
Semidefinite programming for graph partitioning with preferences in data distribution
VECPAR'02 Proceedings of the 5th international conference on High performance computing for computational science
Genetic algorithm based k-means fast learning artificial neural network
AI'04 Proceedings of the 17th Australian joint conference on Advances in Artificial Intelligence
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A new matrix-based clustering method is presented that is able to handle medium to large data sets that is related to semi-definite programming techniques. The method proposed involves solving a non-convex optimization problem. The problem of local minima that are far from global minima, however, does not appear to be a great difficulty. The method was applied to a well known biological clustering problem, and appears to produce consistent clusterings that are close to the original claimed clustering.