Image recognition and reconstruction are common problems in many image processing systems. These problems can be formulated as a solution to the linear inverse problem. This article presents a machine learning system model that can be used in the reconstruction and recognition of vectorized images. The analyzed inverse problem is given by the equations πΉ(π π ) = π π and π π = πΉ β1 (π π ), π = 1, β¦ , π, where πΉ(β’) is a linear mapping for π π β π β π
π , π π β π β π
π . Thus, π π can be seen as a projection of image π π , and π π should be reconstructed as a solution to the inverse problem. We consider image reconstruction as an inverse problem using two different schemes. The first one, when π π = πΉ β1 (π π ), can be seen as an operation with associative memory, and the second one, when π π = πΉ β1 (π π ), can be implemented by creating random vectors for training sets. Moreover, we point out that the solution to the inverse problem can be generalized to complex-valued images π π and π π . In this paper, we propose a machine learning model based on a spectral processor as an alternative solution to deep learning based on optimization procedures.INDEX TERMS Machine learning systems, image reconstruction and recognition, inverse problem.