Behind the Noise: Conformal Quantile Regression Reveals Emergent Representations

Fuente: arXiv
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Autori principali: Zwart, Petrus H., Varga, Tamas, Qafoku, Odeta, Sethian, James A.
Natura: Preprint
Pubblicazione: 2025
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author Zwart, Petrus H.
Varga, Tamas
Qafoku, Odeta
Sethian, James A.
author_facet Zwart, Petrus H.
Varga, Tamas
Qafoku, Odeta
Sethian, James A.
contents Scientific imaging often involves long acquisition times to obtain high-quality data, especially when probing complex, heterogeneous systems. However, reducing acquisition time to increase throughput inevitably introduces significant noise into the measurements. We present a machine learning approach that not only denoises low-quality measurements with calibrated uncertainty bounds, but also reveals emergent structure in the latent space. By using ensembles of lightweight, randomly structured neural networks trained via conformal quantile regression, our method performs reliable denoising while uncovering interpretable spatial and chemical features -- without requiring labels or segmentation. Unlike conventional approaches focused solely on image restoration, our framework leverages the denoising process itself to drive the emergence of meaningful representations. We validate the approach on real-world geobiochemical imaging data, showing how it supports confident interpretation and guides experimental design under resource constraints.
format Preprint
id arxiv_https___arxiv_org_abs_2505_08176
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Behind the Noise: Conformal Quantile Regression Reveals Emergent Representations
Zwart, Petrus H.
Varga, Tamas
Qafoku, Odeta
Sethian, James A.
Artificial Intelligence
Scientific imaging often involves long acquisition times to obtain high-quality data, especially when probing complex, heterogeneous systems. However, reducing acquisition time to increase throughput inevitably introduces significant noise into the measurements. We present a machine learning approach that not only denoises low-quality measurements with calibrated uncertainty bounds, but also reveals emergent structure in the latent space. By using ensembles of lightweight, randomly structured neural networks trained via conformal quantile regression, our method performs reliable denoising while uncovering interpretable spatial and chemical features -- without requiring labels or segmentation. Unlike conventional approaches focused solely on image restoration, our framework leverages the denoising process itself to drive the emergence of meaningful representations. We validate the approach on real-world geobiochemical imaging data, showing how it supports confident interpretation and guides experimental design under resource constraints.
title Behind the Noise: Conformal Quantile Regression Reveals Emergent Representations
topic Artificial Intelligence
url https://arxiv.org/abs/2505.08176