ABSTRACT LEARNING SIMILARITY MEASURES IN NON-ORTHOGONAL SPACES (2008)
Ning Liu, Benyu Zhang, Jun Yan, Qiang Yang, Shuicheng Yan, Zheng Chen, ...
Many machine learning and data mining algorithms crucially rely on the similarity metrics. The Cosine similarity, which calculates the inner product of two normalized feature vectors, is one of the...
A Similarity Reinforcement Algorithm for Heterogeneous Web Pages (2008)
Ning Liu, Jun Yan, Fengshan Bai, Benyu Zhang, Wensi Xi, Weiguo Fan, ...
Abstract. Many machine learning and data mining algorithms crucially rely on the similarity metrics. However, most early research works such as Vector Space Model or Latent Semantic Index only used...
The Multi-dimensional Stable Marriage Problem and its Application in Chemistry (2008)
Hui Tong, Heng Liang, Fengshan Bai
Abstract- The stable marriage problem (SM) and its many variants are extensively-studied combinatorial problems with many practical applications. The n-dimensional stable marriage model is proposed,...
OPTIMIZATION PROBLEM IN MULTI-HOMOGENEOUS HOMOTOPY METHOD (2008)
Heng Liang, Xiaoyan Liu, Fengshan Bai
Multi-homogeneous homotopy continuation method is one of the most efficient approaches in solving all isolated solutions of a polynomial system of equations. Finding the optimal partition of...
School of Mathematical Sciences, (2007)
Fengshan Bai, A. R. Champneys, Bath Ba Ay
An extension of an existing truncated boundary-value method for the numerical continuation of connecting orbits is proposed to deal with homoclinic orbits to a saddle-node equilibrium. In contrast to...
Learning similarity measures in non-orthogonal space (2004)
Ning Liu, Benyu Zhang, Jun Yan, Qiang Yang, Shuicheng Yan, Zheng Chen, ...
Many machine learning and data mining algorithms crucially rely on the similarity metrics. The Cosine similarity, which calculates the inner product of two normalized feature vectors, is one of the...
Minimizing multi-homogeneous Bézout number by a local search method (2000)
Abstract. Consider the multi-homogeneous homotopy continuation method for solving a system of polynomial equations. For any partition of variables, the multi-homogeneous Bézout number bounds the...
. Time dependent solutions of the Cahn--Hilliard equation are studied numerically. In particular heteroclinic orbits, which connect different equilibrium solutions at t = \Gamma1 and t = +1, are...