arXiv Computer Vision

Amortized Set Prediction for Inverse IFS Reconstruction from Density Maps

The paper introduces an amortized estimator that predicts the set of affine maps defining an Iterated Function System (IFS) directly from a visit‑frequency density map, eliminating the need for per‑image optimization. By training on synthetic pairs generated from the known forward model and evaluating reconstructions via Hungarian matching, the method achieves faster and higher‑quality IFS reconstructions on both synthetic and real datasets. Experiments show that a single forward pass followed by a few refinement steps outperforms random‑initialized per‑image optimization in both speed and reconstruction quality.

arXiv Machine Learning
Sep 24

Inverse Problems Conditioned on Observation Ensembles: Applications and Methods

The paper introduces the Ensemble-conditioned Inverse Problem (EIP), a multivariate statistical framework for inferring an ensemble that follows the pushforward of a prior through a forward process. It applies to fields such as high‑energy physics, full waveform inversion, and inverse imaging, and proposes non‑iterative inference‑time methods using ensemble inverse generative models that avoid explicit forward model use during inference. The authors demonstrate the approach on synthetic and real datasets and provide code for replication.

By Zhengyan Huan, Camila Pazos, Martin Klassen, Vincent Croft, Pierre-Hugues Beauchemin, Shuchin Aeron