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Julián Tachella

15 accepted papers

2026

Equivariant Deep Equilibrium Models for Imaging Inverse Problems

ICASSP 2026oral

Equivariant imaging (EI) enables training signal reconstruction models without requiring ground truth data by leveraging signal symmetries. Deep equilibrium models (DEQs) are a powerful class of neural networks where the output is a fixed point of a learned operator. However, training DEQs with comp…

Cited by 0SourcePDFScholar
2026

Equivariant Splitting: Self-supervised learning from incomplete data

ICLR 2026poster

Self-supervised learning for inverse problems allows to train a reconstruction network from noise and/or incomplete data alone. These methods have the potential of enabling learning-based solutions when obtaining ground-truth references for training is expensive or even impossible. In this paper, we…

Cited by 0SourceScholar
2026

Normalization-equivariant Diffusion Models: Learning Posterior Samplers From Noisy And Partial Measurements

ICML 2026poster

Diffusion models (DMs) are a powerful framework for image generation and restoration. However, existing DMs are primarily trained in a supervised manner by using a large corpus of clean images. This poses fundamental challenges in many real-world scenarios, where acquiring noise-free data is hard or…

Cited by 0SourceScholar
2026

Reconstruct Anything Model a lightweight foundation model for computational imaging

ICLR 2026poster

Most existing learning-based methods for solving imaging inverse problems can be roughly divided into two classes: iterative algorithms, such as plug-and-play and diffusion methods leveraging pretrained denoisers, and unrolled architectures that are trained end-to-end for specific imaging problems.…

Cited by 0SourcecodeScholar
2025

Generalized Recorrupted-to-Recorrupted: Self-Supervised Learning Beyond Gaussian Noise

CVPR 2025poster

Recorrupted-to-Recorrupted (R2R) has emerged as a methodology for training deep networks for image restoration in a self-supervised manner from noisy measurement data alone, demonstrating equivalence in expectation to the supervised squared loss in the case of Gaussian noise. However, its effectiven…

2025

Structured Random Model for Fast and Robust Phase Retrieval

ICASSP 2025accepted

Phase retrieval, a nonlinear problem prevalent in imaging applications, has been extensively studied using random models, some of which with i.i.d. sensing matrix components. While these models offer robust reconstruction guarantees, they are computationally expensive and impractical for real-world…

Cited by 0SourceScholar
2025

UNSURE: self-supervised learning with Unknown Noise level and Stein's Unbiased Risk Estimate

ICLR 2025poster

Recently, many self-supervised learning methods for image reconstruction have been proposed that can learn from noisy data alone, bypassing the need for ground-truth references. Most existing methods cluster around two classes: i) Stein's Unbiased Risk Estimate (SURE) and similar approaches that as…

2024

Equivariant bootstrapping for uncertainty quantification in imaging inverse problems

AISTATS 2024poster

Scientific imaging problems are often severely ill-posed and hence have significant intrinsic uncertainty. Accurately quantifying the uncertainty in the solutions to such problems is therefore critical for the rigorous interpretation of experimental results as well as for reliably using the reconstr…

2022

Robust Equivariant Imaging: A Fully Unsupervised Framework for Learning To Image From Noisy and Partial Measurements

CVPR 2022oral

Deep networks provide state-of-the-art performance in multiple imaging inverse problems ranging from medical imaging to computational photography. However, most existing networks are trained with clean signals which are often hard or impossible to obtain. Equivariant imaging (EI) is a recent self-su…

Cited by 75PDFcodeScholar
2022

Sketched RT3D: How to Reconstruct Billions of Photons Per Second

ICASSP 2022accepted

Single-photon light detection and ranging (lidar) captures depth and intensity information of a 3D scene. Reconstructing a scene from observed photons is a challenging task due to spurious detections associated with background illumination sources. To tackle this problem, there is a plethora of 3D r…

Cited by 0SourceScholar
2022

Unsupervised Learning From Incomplete Measurements for Inverse Problems

NeurIPS 2022accept

In many real-world inverse problems, only incomplete measurement data are available for training which can pose a problem for learning a reconstruction function. Indeed, unsupervised learning using a fixed incomplete measurement process is impossible in general, as there is no information in the nul…

2019

3D Reconstruction Using Single-photon Lidar Data Exploiting the Widths of the Returns

ICASSP 2019accepted

Single-photon light detection and ranging (Lidar) data can be used to capture depth and intensity profiles of a 3D scene. In a general setting, the scenes can have an unknown number of surfaces per pixel (semi-transparent surfaces or outdoor measurements), high background noise (strong ambient illum…

Cited by 0SourceScholar