Neuralink Compression Challenge

by nikolay.dubina.pub@gmail.com on 2024-05-24

Compression Ratio 2.09

65% of input samples have 2.2 or better compression ratio (encode size 22KB, decode size 22KB, 600 lines-of-code in C without 3rd party packages)

Algorithm

• cache 1024 most frequently observed samples so far, update cache after processing raw sample
• find how many most frequent samples can be used such that their binary encoding fit into uint4, uint6 and uint7 and select most optimal one
• produce marker of uint16 length that contains how many next samples are encoded or not encoded and with which notation

Properties

• Does not use information within single sample, only sample equality among other samples and their chronology is used
• Adaptive Dictionary
• Fixed-Length Coding
• Byte-Aligned Coding
• Turn Off/On Switch
• No External Libraries

Example

<encoded bytes>: description

1111111111111000: marker next 8 samples encoded=false
1111110111011111 -> 1111110111011111
1111110100011111 -> 1111110100011111
1111101101011111 -> 1111101101011111
1111110000011111 -> 1111110000011111
1111101011011111 -> 1111101011011111
1111010011011101 -> 1111010011011101
1110111101011100 -> 1110111101011100
1111010001011101 -> 1111010001011101
0000000100100000: marker next 288 samples encoded=true
1111101011011111 -> N/A (most significant bits in next 7 bytes)
1111110010011111 -> 10110100: only least-significant 7 bits
1111111100100000 -> 00101110: only least-significant 7 bits
1111111001100000 -> 00111101: only least-significant 7 bits
1111111011100000 -> 00001101: only least-significant 7 bits
1111110100011111 -> 00111001: only least-significant 7 bits
1111101111011111 -> 00111110: only least-significant 7 bits
1111101101011111 -> 01001011: only least-significant 7 bits
1111101111011111 -> N/A (most significant bits in next 7 bytes)
1111100111011110 -> 01001101: only least-significant 7 bits
1111100001011110 -> 11101000: only least-significant 7 bits
1111101010011111 -> 11001010: only least-significant 7 bits
1111101100011111 -> 11001110: only least-significant 7 bits
1111110100011111 -> 10111001: only least-significant 7 bits
1111110100011111 -> 10111001: only least-significant 7 bits
1111110111011111 -> 00011000: only least-significant 7 bits
1111111000100000 -> N/A (most significant bits in next 7 bytes)
...

Other Materials

• /go-encoder - Go version (2.5 MB binary, 800 lines-of-code)
• /research - research code and Python version

Tested

22KB encode, 22KB decode

No LSB modules are available.
Distributor ID: Ubuntu
Description:    Ubuntu 22.04.1 LTS
Release:        22.04
Codename:       jammy

References

• http://tiny.systems/software/soundProgrammer/WavFormatDocs.pdf
• https://iopscience.iop.org/article/10.1088/1741-2552/acf5a4
• https://docs.scipy.org/doc/scipy/reference/generated/scipy.io.wavfile.read.html
• https://docs.python.org/3/library/wave.html
• https://en.wikipedia.org/wiki/Variable-length_code
• https://en.wikipedia.org/wiki/Prefix_code
• https://rosettacode.org/wiki/Huffman_coding#Python
• https://golang.google.cn/src/compress/bzip2/huffman.go
• https://github.com/go-audio/wav
• https://github.com/bearmini/bitstream-go
• https://github.com/icza/bitio
• https://github.com/icza/huffman
• https://github.com/studiawan/data-compression
• https://en.wikipedia.org/wiki/Adaptive_Huffman_coding
• https://github.com/kei-g/vitter
• https://en.wikipedia.org/wiki/Deflate

Appendix: Zip

Compression Ratio 2.29

65% of input samples have 2.2 or better compression ratio (429 KB binary)

Appendix: Release Policy

• challenge does not define policy to release code
• emails are ignored
• thus, after one week after submission, solution is released to public