Efficient Extraction of Patterns in High-Dimensional Data through Tensor Decomposition Techniques

Analyzing big data sets can be difficult due to their intricate patterns and concealed connections.to decrease complexity while retaining essential details necessary for identifying significant trends from this data type. The precision for pattern identification and classification in data with many dimensions, the current study aims to establish a Tensor-Based Pattern Extraction Framework (TPEF). The suggested system employs an organized preparation method to deal with missing values, remove duplication, and standardize the data representation for uniformity. A multi-way tensor can represent the connections among objects. To enable the recognition of noteworthy structures, tensor factorization procedures are used to break down the tensor into lower-dimensional elements. Grouping elements with identical features through methods of clustering improves their comprehension. More exact grouping and data representations are made possible by the test results showing that TPEF increases the effectiveness of sequence extraction. The findings demonstrate that data can be better organized using tensor breakdown, which improves computational effectiveness without losing essential information connections. As an adaptable option for different analytical tasks, the present research shows that tensor-based techniques effectively discover undetected patterns in high-dimensional information.

Keywords :

Tensor Decomposition, Pattern Extraction, High-Dimensional Data, Clustering, Data Analysis.