👉 Computing based on the basis of "basis" refers to a computational model that leverages a set of fundamental building blocks, often referred to as basis functions, to represent and process data. This approach is commonly used in areas like signal processing, image analysis, and machine learning. In essence, a basis function is a simpler function that can be combined linearly to approximate more complex functions. For instance, in Fourier basis functions, a signal is represented as a sum of sine and cosine waves. Similarly, in wavelet bases, a signal is decomposed into different frequency components at various scales. This method allows for efficient data representation, compression, and analysis by exploiting the redundancy and structure inherent in the data. By using a limited set of basis functions, computations can be performed more efficiently, making it particularly useful for tasks involving large datasets or real-time processing.
