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Main Authors: Seailles, Romain, Masson, Jean-Baptiste, Ponce, Jean, Mairal, Julien
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.10683
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author Seailles, Romain
Masson, Jean-Baptiste
Ponce, Jean
Mairal, Julien
author_facet Seailles, Romain
Masson, Jean-Baptiste
Ponce, Jean
Mairal, Julien
contents Single-molecule localization microscopy (SMLM) allows reconstructing biology-relevant structures beyond the diffraction limit by detecting and localizing individual fluorophores -- fluorescent molecules stained onto the observed specimen -- over time to reconstruct super-resolved images. Currently, efficient SMLM requires non-overlapping emitting fluorophores, leading to long acquisition times that hinders live-cell imaging. Recent deep-learning approaches can handle denser emissions, but they rely on variants of non-maximum suppression (NMS) layers, which are unfortunately non-differentiable and may discard true positives with their local fusion strategy. In this presentation, we reformulate the SMLM training objective as a set-matching problem, deriving an optimal-transport loss that eliminates the need for NMS during inference and enables end-to-end training. Additionally, we propose an iterative neural network that integrates knowledge of the microscope's optical system inside our model. Experiments on synthetic benchmarks and real biological data show that both our new loss function and architecture surpass the state of the art at moderate and high emitter densities. Code is available at https://github.com/RSLLES/SHOT.
format Preprint
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institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal transport unlocks end-to-end learning for single-molecule localization
Seailles, Romain
Masson, Jean-Baptiste
Ponce, Jean
Mairal, Julien
Computer Vision and Pattern Recognition
Machine Learning
Single-molecule localization microscopy (SMLM) allows reconstructing biology-relevant structures beyond the diffraction limit by detecting and localizing individual fluorophores -- fluorescent molecules stained onto the observed specimen -- over time to reconstruct super-resolved images. Currently, efficient SMLM requires non-overlapping emitting fluorophores, leading to long acquisition times that hinders live-cell imaging. Recent deep-learning approaches can handle denser emissions, but they rely on variants of non-maximum suppression (NMS) layers, which are unfortunately non-differentiable and may discard true positives with their local fusion strategy. In this presentation, we reformulate the SMLM training objective as a set-matching problem, deriving an optimal-transport loss that eliminates the need for NMS during inference and enables end-to-end training. Additionally, we propose an iterative neural network that integrates knowledge of the microscope's optical system inside our model. Experiments on synthetic benchmarks and real biological data show that both our new loss function and architecture surpass the state of the art at moderate and high emitter densities. Code is available at https://github.com/RSLLES/SHOT.
title Optimal transport unlocks end-to-end learning for single-molecule localization
topic Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2512.10683