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Research PaperResearchia:202602.13045

LCIP: Loss-Controlled Inverse Projection of High-Dimensional Image Data

Yu Wang

Abstract

Projections (or dimensionality reduction) methods $P$ aim to map high-dimensional data to typically 2D scatterplots for visual exploration. Inverse projection methods $P^{-1}$ aim to map this 2D space to the data space to support tasks such as data augmentation, classifier analysis, and data imputation. Current $P^{-1}$ methods suffer from a fundamental limitation -- they can only generate a fixed surface-like structure in data space, which poorly covers the richness of this space. We address th...

Submitted: February 13, 2026Subjects: Machine Learning; Data Science

Description / Details

Projections (or dimensionality reduction) methods PP aim to map high-dimensional data to typically 2D scatterplots for visual exploration. Inverse projection methods Pβˆ’1P^{-1} aim to map this 2D space to the data space to support tasks such as data augmentation, classifier analysis, and data imputation. Current Pβˆ’1P^{-1} methods suffer from a fundamental limitation -- they can only generate a fixed surface-like structure in data space, which poorly covers the richness of this space. We address this by a new method that can `sweep' the data space under user control. Our method works generically for any PP technique and dataset, is controlled by two intuitive user-set parameters, and is simple to implement. We demonstrate it by an extensive application involving image manipulation for style transfer.


Source: arXiv:2602.11141v1 - http://arxiv.org/abs/2602.11141v1 PDF: https://arxiv.org/pdf/2602.11141v1 Original Link: http://arxiv.org/abs/2602.11141v1

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Submission Info
Date:
Feb 13, 2026
Topic:
Data Science
Area:
Machine Learning
Comments:
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