6 papers
Reliable one-bit quantization of bandlimited graph data via single-shot noise shaping
Johannes Maly, Anna Veselovska
Graph data are ubiquitous in natural sciences and machine learning. In this paper, we consider the problem of quantizing graph structured, bandlimited data to few bits per entry wh…
Low-Bit Quantization of Bandlimited Graph Signals via Iterative Methods
Felix Krahmer, He Lyu, Rayan Saab +3
We study the quantization of real-valued bandlimited signals on graphs, focusing on low-bit representations. We propose iterative noise-shaping algorithms for quantization, includi…
Implicit Regularization for Tubal Tensor Factorizations via Gradient Descent
Santhosh Karnik, Anna Veselovska, Mark Iwen +1
We provide a rigorous analysis of implicit regularization in an overparametrized tensor factorization problem beyond the lazy training regime. For matrix factorization problems, th…
The Mathematics of Dots and Pixels: On the Theoretical Foundations of Image Halftoning
Felix Krahmer, Anna Veselovska
The evolution of image halftoning, from its analog roots to contemporary digital methodologies, encapsulates a fascinating journey marked by technological advancements and creative…
Non-intrusive surrogate modelling using sparse random features with applications in crashworthiness analysis
Maternus Herold, Anna Veselovska, Jonas Jehle +1
Efficient surrogate modelling is a key requirement for uncertainty quantification in data-driven scenarios. In this work, a novel approach of using Sparse Random Features for surro…
Enhanced Digital Halftoning via Weighted Sigma-Delta Modulation
Felix Krahmer, Anna Veselovska
In this paper, we study error diffusion techniques for digital halftoning from the perspective of 1-bit Sigma-Delta quantization. We introduce a method to generate Sigma-Delta sche…