Lossy Compression: Difference between revisions

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[[File:Data Compression - Lossy Compression - Space.png|1000px]]
[[File:Data Compression - Lossy Compression - Space.png|1000px]]


== Space-Time Tradeoff Improvements ==  
== Time-Space Tradeoff ==  


[[File:Data Compression - Lossy Compression - Pareto Frontier.png|1000px]]
[[File:Data Compression - Lossy Compression - Pareto Frontier.png|1000px]]

Revision as of 14:46, 15 February 2023

Description

The reduction or ideally elimination of redundancies in the original data to result in smaller required storage space is the goal of every compression scheme. There are two categories of data compression: lossy and lossless.

Lossy compression is achieved by only discarding the redundancies and out of human perception information and getting rid of those extra bits.

Related Problems

Related: Lossless Compression

Parameters

No parameters found.

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Gupta; Verdu 2009 $O(n^{2} log^{3} n)$ $O(n)$ Exact Deterministic Time
Discrete Cosine Transform 1974 $O(n^{2})$ $O(n)$ Exact Deterministic Time
Maneva and M. J. Wainwright 2005 $O(n^{2})$ $O(n^{2})$ Exact Deterministic Time
Ciliberti; Mézard 2005 $O(n^{2})$ Exact Deterministic Time
Brute force 1940 $O(n*{2}^n)$ Exact Deterministic
Matsunaga; Yamamoto 2003 $O(n*{2}^n)$ exp(n) Exact Deterministic Time & Space
Sun; M. Shao; J. Chen; K. Wong; and X. Wu 2010 $O(n*{2}^n)$ Exact Deterministic Time
Miyake 2006 $O(n*{2}^n)$ Exact Deterministic Time
Martinian and M. J. Wainwright 2006 $O(n*{2}^n)$ Exact Deterministic Time
Jalali and T. Weissman 2008 $O(n)$ $O(n)$? Exact Deterministic Time
Jalali; A. Montanari; and T. Weissman 2010 $O(n)$ Exact Deterministic Time
Korada and R. Urbanke; 2010 $O(n*{2}^n)$ $O(N)$ Exact Deterministic Time

Time Complexity Graph

Data Compression - Lossy Compression - Time.png

Space Complexity Graph

Data Compression - Lossy Compression - Space.png

Time-Space Tradeoff

Data Compression - Lossy Compression - Pareto Frontier.png