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What are the common mathematical methods of compression coding?
RLE (Run-length coding) compression algorithm, also known as run-length coding.

Huffman encoding.

LZW compression algorithm.

Discrete Cosine Transform (DCT) belongs to transform coding.

Fractal.

Wavelet transform.

Artificial neural network.

5, 6 and 7 are relatively new methods, and these algorithms can be seen in detail in related literature!