arXiv:2411.03688cs.CV2024-11综述被引 63

系统梳理隐式神经表示最新进展,揭示其优势与瓶颈。

Where Do We Stand with Implicit Neural Representations? A Technical and Performance Survey

  • 按激活函数、位置编码等四类构建清晰分类体系
  • 实验证明不同方法在分辨率适应性上存在显著差异
  • 适合研究者探索高维数据建模与模型优化方向

隐式神经表示(INRs)作为一种新兴的知识表征范式,在多种应用中展现出卓越的灵活性与性能。它们利用多层感知机(MLPs)将数据建模为连续隐函数,具备分辨率无关、内存高效及超越离散数据结构的泛化能力。在音频重建、图像表示、3D物体重建和高维数据合成等复杂逆问题中表现优异。本综述系统回顾了最新的INR方法,提出四类核心分类:激活函数、位置编码、组合策略与网络结构优化。严谨分析其可微性、平滑性、紧凑性及多分辨率适应性,同时探讨局部偏差与细节捕捉的局限。实验对比揭示各方法间的权衡关系,展现当前技术在不同任务中的能力与挑战。文中指出现有方法在激活函数表达力、位置编码机制与高维数据可扩展性方面的改进空间,为研究者提供实用路线图,推动该领域新方法的发展。

原文摘要 · Abstract (English)

Implicit Neural Representations (INRs) have emerged as a paradigm in knowledge representation, offering exceptional flexibility and performance across a diverse range of applications. INRs leverage multilayer perceptrons (MLPs) to model data as continuous implicit functions, providing critical advantages such as resolution independence, memory efficiency, and generalisation beyond discretised data structures. Their ability to solve complex inverse problems makes them particularly effective for tasks including audio reconstruction, image representation, 3D object reconstruction, and high-dimensional data synthesis. This survey provides a comprehensive review of state-of-the-art INR methods, introducing a clear taxonomy that categorises them into four key areas: activation functions, position encoding, combined strategies, and network structure optimisation. We rigorously analyse their critical properties, such as full differentiability, smoothness, compactness, and adaptability to varying resolutions while also examining their strengths and limitations in addressing locality biases and capturing fine details. Our experimental comparison offers new insights into the trade-offs between different approaches, showcasing the capabilities and challenges of the latest INR techniques across various tasks. In addition to identifying areas where current methods excel, we highlight key limitations and potential avenues for improvement, such as developing more expressive activation functions, enhancing positional encoding mechanisms, and improving scalability for complex, high-dimensional data. This survey serves as a roadmap for researchers, offering practical guidance for future exploration in the field of INRs. We aim to foster new methodologies by outlining promising research directions for INRs and applications.

隐式表示神经网络综述高维建模

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