System and method for data storage, transfer, synchronization, and security using automated model monitoring and training with dyadic distribution-based simultaneous compression and encryption

A system for storing, retrieving, transmitting, and simultaneously compressing and encrypting data in a highly compact format, comprising:

• a computing device comprising a processor and a memory;
• a codebook training module comprising a plurality of programming instructions that, when operating on the processor, cause the processor to:
• receive data;
• process the data to generate a test dataset;
• retrieve at least one probability distribution associated with a previous training dataset;
• analyze the test dataset to determine at least one new probability distribution;
• retrain encoding and decoding algorithms using the test dataset;
• apply the retrained algorithms to generate one or more data units from the test dataset;
• associate each of the one or more data units with a corresponding identifier;
• and
• store the one or more data units and their corresponding identifiers in an updated data structure;
• a dyadic distribution subsystem comprising a plurality of programming that, when operating on the processor, cause the processor to:
• analyze an input data stream to determine its properties;
• create a transformation matrix based on the properties of the input data;
• transform the input data into a dyadic distribution;
• generate a main data stream of transformed data and a secondary data stream of transformation information;
• compress the main data stream;
• and
• combine the compressed main data stream and the secondary data stream into an output stream.