arXiv:2602.11141cs.HCcs.LG2026-02

提出可用户控制的图像逆投影方法,实现更丰富的高维数据生成。

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

  • 通过用户参数控制,动态扫过数据空间生成新样本
  • 突破传统方法仅能生成固定曲面的限制,覆盖更广数据分布
  • 适用于任意降维方法和数据集,尤其适合图像风格迁移

投影方法 $P$ 将高维数据映射到二维散点图以支持可视化探索。逆投影方法 $P^{-1}$ 则将二维空间映射回数据空间,用于数据增强、分类器分析和数据补全等任务。现有 $P^{-1}$ 方法存在根本局限:只能在数据空间中生成固定的表面结构,难以覆盖空间的丰富性。本文提出一种新方法,可在用户控制下‘扫过’数据空间。该方法对任意 $P$ 技术和数据集均适用,仅需两个直观的用户设定参数,实现简单。我们通过图像风格迁移的广泛应用展示了其效果。

原文摘要 · Abstract (English)

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 this by a new method that can `sweep' the data space under user control. Our method works generically for any $P$ 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.

逆投影图像生成数据可视化

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