# Improved Wavelets for Image Compression from Unitary Circuits

arXiv: https://arxiv.org/abs/2203.02556 · HTML: https://mlsanity.com/paper/2203.02556/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 4 Mar 2022.

## Built on by (most cited first, 2 of 2)

- [Tensor networks for quantum machine learning](https://mlsanity.com/paper/2303.11735/) (2023)
- [Fast Trainable Multilinear Bases for Image Compression](https://mlsanity.com/paper/2608.00053/) (2026)

## Abstract (arXiv)

We benchmark the efficacy of several novel orthogonal, symmetric, dilation-3 wavelets, derived from a unitary circuit based construction, towards image compression. The performance of these wavelets is compared across several photo databases against the CDF-9/7 wavelets in terms of the minimum number of non-zero wavelet coefficients needed to obtain a specified image quality, as measured by the multi-scale structural similarity index (MS-SSIM). The new wavelets are found to consistently offer better compression efficiency than the CDF-9/7 wavelets across a broad range of image resolutions and quality requirements, averaging 7-8% improved compression efficiency on high-resolution photo images when high-quality (MS-SSIM = 0.99) is required.