학술논문

Error probability and computational complexity of classifying objects in a space of multilevel representations
Document Type
Conference
Source
2022 VIII International Conference on Information Technology and Nanotechnology (ITNT) Information Technology and Nanotechnology (ITNT), 2022 VIII International Conference on. :1-6 May, 2022
Subject
Communication, Networking and Broadcast Technologies
Computing and Processing
Fields, Waves and Electromagnetics
Photonics and Electrooptics
Signal Processing and Analysis
Support vector machines
Error probability
Soft sensors
Redundancy
Search problems
Classification algorithms
Computational complexity
classification
error probability
mutual information
discriminant function
redundancy
image
guided search
computational complexity
Language
Abstract
In a space of the tree-structured object representations, we study a classification fidelity in terms of an error probability depending on a processed information amount. Using an information-theoretic model, a lower bound to the average error probability as a function of the average mutual information between the objects and their class-label decisions is given. For any collection of the discriminant functions defined at the successive representation levels, an algorithm of a guided search for the decision on a submitted object is proposed. Also, a redundancy of the average error probability relative to the lower bound is defined. Given datasets of face and signature images, the evaluations of the above characteristics show a possibility of a trade-off between the average error probability and a computational complexity of the decision algorithm.