3 papers
cs.LG2026
A Theory of Speciation in Generative Diffusion Models on Compact Riemannian Manifolds
Alessio Marta, Paola Causin
Speciation in generative diffusion models denotes the emergence of distinct stable branches during denoising, through which initially undifferentiated trajectories progressively co…
math.NA2025
Optimization of gridding algorithms for FFT by vector optimization
Federico Achini, Paola Causin, Sara Vanini +2
The Fast Fourier Transform (FFT) is widely used in applications such as MRI, CT, and interferometry; however, because of its dependence on uniformly sampled data, it requires the u…
cs.LG2025
Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems
Paola Causin, Alessio Marta
High-dimensional datasets often exhibit low-dimensional geometric structures, as suggested by the manifold hypothesis, which implies that data lie on a smooth manifold embedded in…