We introduce and formalize the multilevel classification problem, in which each category can be subdivided into different levels. We analyze the framework in a Bayesian setting using Normal class conditional densities. Within this framework, a natural monotonicity hint converts the problem into a nonlinear programming task, with non-linear constraints. We present Monte Carlo and gradient based techniques for addressing this task, and show the results of simulations. Incorporation of monotonicity yields a systematic improvement in performance.
CITATION STYLE
Magdon-Ismail, M., Chen, H. C. J., & Abu-Mostafa, Y. S. (2002). The multilevel classification problem and a monotonicity hint. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2412, pp. 410–415). Springer Verlag. https://doi.org/10.1007/3-540-45675-9_61
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