title: AVNM: A Voting based Novel Mathematical Rule for Image Classification.
abstract: OBJECTIVE
  In machine learning, the accuracy of the system depends upon classification result. Classification accuracy plays an imperative role in various domains. Non-parametric classifier like K-Nearest Neighbor (KNN) is the most widely used classifier for pattern analysis. Besides its easiness, simplicity and effectiveness characteristics, the main problem associated with KNN classifier is the selection of a number of nearest neighbors i.e. "k" for computation. At present, it is hard to find the optimal value of "k" using any statistical algorithm, which gives perfect accuracy in terms of low misclassification error rate.
  
  
  METHODS
  Motivated by the prescribed problem, a new sample space reduction weighted voting mathematical rule (AVNM) is proposed for classification in machine learning. The proposed AVNM rule is also non-parametric in nature like KNN. AVNM uses the weighted voting mechanism with sample space reduction to learn and examine the predicted class label for unidentified sample. AVNM is free from any initial selection of predefined variable and neighbor selection as found in KNN algorithm. The proposed classifier also reduces the effect of outliers.
  
  
  RESULTS
  To verify the performance of the proposed AVNM classifier, experiments are made on 10 standard datasets taken from UCI database and one manually created dataset. The experimental result shows that the proposed AVNM rule outperforms the KNN classifier and its variants. Experimentation results based on confusion matrix accuracy parameter proves higher accuracy value with AVNM rule.
  
  
  CONCLUSIONS
  The proposed AVNM rule is based on sample space reduction mechanism for identification of an optimal number of nearest neighbor selections. AVNM results in better classification accuracy and minimum error rate as compared with the state-of-art algorithm, KNN, and its variants. The proposed rule automates the selection of nearest neighbor selection and improves classification rate for UCI dataset and manually created dataset.
authors.affiliation: Department of Computer science and Engineering, Malaviya National Institute of Technology Jaipur, Rajasthan 302017, India. Electronic address: 2012rcp9514@mnit.ac.in.
authors.forename: Ankit
authors.initials: A
authors.lastname: Vidyarthi
authors.affiliation: Department of Computer science and Engineering, Malaviya National Institute of Technology Jaipur, Rajasthan 302017, India. Electronic address: nmittal.cse@mnit.ac.in.
authors.forename: Namita
authors.initials: N
authors.lastname: Mittal
mesh_terms: D000465:Algorithms; D000069550:Machine Learning; D008433:Mathematics; D008962:Models, Theoretical
keywords: Classification; K-Nearest Neighbor; Machine learning