TRIDENT: The Nonlinear Trilogy for Implicit Neural Representations

TMLR Paper2159 Authors

08 Feb 2024 (modified: 31 May 2024)Rejected by TMLREveryoneRevisionsBibTeX
Abstract: Implicit neural representations (INRs) have garnered significant interest recently for their ability to model complex, high-dimensional data without explicit parameterisation. In this work, we introduce TRIDENT, a novel function for implicit neural representations characterised by a trilogy of nonlinearities. Firstly, it is designed to represent high-order features through order compactness. Secondly, TRIDENT efficiently captures frequency information, a feature called frequency compactness. Thirdly, it has the capability to represent signals or images such that most of its energy is concentrated in a limited spatial region, denoting spatial compactness. We demonstrated through extensive experiments on various inverse problems that our proposed function outperforms existing implicit neural representation functions.
Submission Length: Regular submission (no more than 12 pages of main content)
Assigned Action Editor: ~Lechao_Xiao2
Submission Number: 2159
Loading