Özellik Seçimi Temelli Yaklaşımların Çok Değişkenli Regresyon Modellerine Etkisi

Öz

Bu çalışmada yüksek boyutlu veri setlerinde boyut indirgemeyi ve indirgenen modellerin tahmin performansını artırmayı hedefleyen K-Ortalamalar kümeleme temelli bir özellik seçimi yöntemi önerilmektedir. Önerilen yöntemde her bir bağımsız değişken özellik olarak tanımlanmaktadır. Tanımlanan bu özellikler K-Ortalamalar kümeleme algoritmasıyla kümelenir, her kümeden kümeyi temsil düzeyi en yüksek olan özellik seçilerek hafızaya alınır. Sonraki adımda hafızaya alınan yani kümeleri temsil eden bu özellikler ile çok değişkenli doğrusal regresyon, Ridge regresyon ve LASSO regresyon yöntemleri kullanılarak regresyon modelleri oluşturulur. Gerçekleştirilen boyut indirgeme işlemi çoklu bağlantı sorununu azaltmaktadır. Ayrıca önerilen indirgenmiş çok değişkenli doğrusal regresyon modeli, indirgenmiş Ridge regresyon modeli ve indirgenmiş LASSO regresyon modeli, çok değişkenli regresyon yöntemiyle karşılaştırılmıştır. c Elde edilen bulgular, önerilen boyut indirgeme modellerinin yüksek boyutlu veri ortamlarında hem etkinlik hem de verimlilik açısından kayda değer performans sergilediğini kanıtlamaktadır.

Anahtar Kelimeler

• K-Ortalamalar kümeleme
• Özellik seçimi
• Makine Öğrenmesi
• Çok değişkenli regresyon

The Effect of Feature Selection Based Approaches on Multivariate Regression Models

Öz

This study proposes a K-Means Cluster based feature selection method that aims to reduce the dimensionality of high-dimensional data sets and improve the prediction performance of the reduced models. In the proposed method, each independent variable is defined as a feature. These defined features are clustered using the K-Means algorithm, and the feature with the highest cluster representation level is selected from each cluster and stored in memory. In the next step, regression models are created using multivariate linear regression, Ridge regression, and LASSO regression methods with these features stored in memory, which represent the clusters. The dimension reduction process reduces the multicollinearity problem. Additionally, the proposed reduced multivariate linear regression model, reduced Ridge regression model, and reduced LASSO regression model were compared with the multivariate regression method. In comparison based on actual data, the reduced models showed an improvement of 10% to 38% over the unreduced model according to the OMYH criterion and an improvement of 8% to 50% according to the HKOK criterion. The findings demonstrate that the proposed dimension reduction models exhibit remarkable performance in terms of both effectiveness and efficiency in high-dimensional data environments.

Anahtar Kelimeler

• K-Means clustering
• Feature selection
• Dimension reduction
• Machine learning
• Multivarite regression

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