Fast & Efficient Normalizing Flows and Applications of Image Generative Models
Sandeep Nagar

TL;DR
This thesis advances normalizing flow architectures for image generation efficiency and demonstrates diverse applications in computer vision, including super-resolution, agricultural quality assessment, geological mapping, privacy preservation, and art restoration.
Contribution
It introduces six key innovations in normalizing flows, including invertible convolution layers and efficient algorithms, and applies generative models to solve real-world vision challenges.
Findings
Improved invertible convolution layers with proven conditions
Efficient parallel inversion algorithm for convolutional layers
Effective applications in image super-resolution, agriculture, geology, privacy, and art restoration
Abstract
This thesis presents novel contributions in two primary areas: advancing the efficiency of generative models, particularly normalizing flows, and applying generative models to solve real-world computer vision challenges. The first part introduce significant improvements to normalizing flow architectures through six key innovations: 1) Development of invertible 3x3 Convolution layers with mathematically proven necessary and sufficient conditions for invertibility, (2) introduction of a more efficient Quad-coupling layer, 3) Design of a fast and efficient parallel inversion algorithm for kxk convolutional layers, 4) Fast & efficient backpropagation algorithm for inverse of convolution, 5) Using inverse of convolution, in Inverse-Flow, for the forward pass and training it using proposed backpropagation algorithm, and 6) Affine-StableSR, a compact and efficient super-resolution model that…
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Taxonomy
TopicsGenerative Adversarial Networks and Image Synthesis · Image Processing and 3D Reconstruction · Advanced Neural Network Applications
