Building a Kolmogorov-Arnold Neural Network in C

Introduction

Welcome to this in-depth guide on building a Kolmogorov-Arnold neural network in C. In this tutorial, we will walk you through the process of creating and training a neural network from scratch using C, a powerful and efficient programming language. By the end of this guide, you’ll have a solid understanding of the key components involved in building and training a neural network and how to implement these in C. Let’s get started!

Defining Data Structures

Before we dive into the implementation, let’s define the data structures that will represent our neural network. These include structures for neurons, layers, and the overall Kolmogorov-Arnold neural network.

typedef struct {
    double *weights;
    double bias;
} Neuron;

typedef struct {
    Neuron *neurons;
    int num_neurons;
} Layer;

typedef struct {
    Layer *univariate_layers;
    Neuron *output_neuron;
    int input_size;
    int hidden_size;
} KolmogorovArnoldNN

• Neuron: Represents a single neuron with weights and a bias.
• Layer: Consists of multiple neurons.
• KolmogorovArnoldNN: Represents the entire neural network with multiple univariate layers and a single output neuron.