# On Projection Based Operators in Lp space for Exact Similarity Search

arXiv: https://arxiv.org/abs/1502.04032 · HTML: https://mlsanity.com/paper/1502.04032/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 12 Feb 2015.

## Built on by (most cited first, 1 of 1)

- [Multi-level Data Representation For Training Deep Helmholtz Machines](https://mlsanity.com/paper/2210.14855/) (2022)

## Abstract (arXiv)

We investigate exact indexing for high dimensional Lp norms based on the 1-Lipschitz property and projection operators. The orthogonal projection that satisfies the 1-Lipschitz property for the Lp norm is described. The adaptive projection defined by the first principal component is introduced.