Abstract

The study on Transductive Support Vector Machine (TSVM) has made little progress since Vapnik has put forth the concept in the late 1990s, as the algorithm for TSVM optimization model cannot be easily found. Here we try to transform the problem of TSVM optimization into an unconstrained one and then to construct the smooth unconstrained optimization with a kernel. Based on this optimization, a TSVM of which optimization problem is easier to solve is devised to break through the bottleneck of deepening the research on TSVM. Furthermore, this TSVM is applied to the environmental monitoring of greenhouse plant growth as a new method.

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