Interpolated search is provided for navigating a compressed file to identify a desired offset in an uncompressed version of the file by: determining a low point and a high point in an uncompressed version of a stream corresponding to a compressed version of the stream that is divided into a plurality of chunks; calculating an average compression ratio between the low point and the high point; interpolating a position in the compressed version of a desired offset in the uncompressed version to identify a bifurcation chunk of the plurality of chunks that includes the interpolated position; reading an offset of the bifurcation chunk; and in response to determining that the desired offset is within a threshold distance of the offset of the bifurcation chunk, decompressing the compressed version from the bifurcation chunk until the desired offset is output.

We provide a method of compressing a data stream for transmission, including: generating a data sequence representing a received data stream, generating a plurality of data substreams, each comprising a portion of the data sequence, identifying a formal concept defining a dependency between a first one of the data substreams and one or more further ones of the data substreams that are dependent on the first data substream, removing those dependent data substreams from the plurality of data substreams, and transmitting the remaining data substreams, and a method of reconstructing a data stream at a receiver, including: receiving a received data sequence representing a received data stream, identifying that a substream has been removed from the data stream prior to transmission, identifying a formal concept definition for regenerating the removed substream based on an identified substream of the received data sequence, regenerating a data substream using the formal concept definition and the identified substream of the received data sequence, and adding the regenerated data substream to the received data sequence.

Decomposing a value range of the respective syntax elements into a sequence of n partitions with coding the components of z laying within the respective partitions separately with at least one by VLC coding and with at least one by PIPE or entropy coding is used to greatly increase the compression efficiency at a moderate coding overhead since the coding scheme used may be better adapted to the syntax element statistics. Accordingly, syntax elements are decomposed into a respective number n of source symbols s.sub.i with i=1 . . . n, the respective number n of source symbols depending on as to which of a sequence of n partitions into which a value range of the respective syntax elements is sub-divided, a value z of the respective syntax elements falls into, so that a sum of values of the respective number of source symbols s.sub.i yields z, and, if n>1, for all i=1 . . . n1, the value of s.sub.i corresponds to a range of the i.sup.th partition.

One example method includes receiving a mixed data stream that was created using a first data stream and a second data stream, the mixed data stream having a compressibility of N, where N is a compressibility merging parameter, and the mixed data stream has a compressibility that is between a compressibility of the first data stream and a compressibility of the second data stream, providing the mixed data stream to an application and/or hardware, observing and recording a response of the application and/or hardware to the mixed data stream, and analyzing the response of the response of the application and/or hardware to the mixed data stream.

A tensor decomposition method, system, and computer program product include compressing multi-dimensional data by truncated tensor-tensor decompositions.

A tensor decomposition method, system, and computer program product include compressing multi-dimensional data by truncated tensor-tensor decompositions.

Decomposing a value range of the respective syntax elements into a sequence of n partitions with coding the components of z laying within the respective partitions separately with at least one by VLC coding and with at least one by PIPE or entropy coding is used to greatly increase the compression efficiency at a moderate coding overhead since the coding scheme used may be better adapted to the syntax element statistics. Accordingly, syntax elements are decomposed into a respective number n of source symbols s.sub.i with i=1 . . . n, the respective number n of source symbols depending on as to which of a sequence of n partitions into which a value range of the respective syntax elements is sub-divided, a value z of the respective syntax elements falls into, so that a sum of values of the respective number of source symbols s.sub.i yields z, and, if n>1, for all i=1 . . . n1, the value of s.sub.i corresponds to a range of the i.sup.th partition.

A system transmits a target data file as a set of mathematical functions and data values representative of the target data file to a receiver, the system comprising at least one hardware processor and memory storing computer instructions, the computer instructions when executed by the at least one hardware processor configured to cause the system to identify a target bit pattern of a target data file; generate a set of mathematical functions and data values operative to generate the target bit pattern; and transmit the set of mathematical functions and data values to a receiver, which can use the set of mathematical functions and data values to generate the target data file.

Decomposing a value range of the respective syntax elements into a sequence of n partitions with coding the components of z laying within the respective partitions separately with at least one by VLC coding and with at least one by PIPE or entropy coding is used to greatly increase the compression efficiency at a moderate coding overhead since the coding scheme used may be better adapted to the syntax element statistics. Accordingly, syntax elements are decomposed into a respective number n of source symbols s.sub.i with i=1 . . . n, the respective number n of source symbols depending on as to which of a sequence of n partitions into which a value range of the respective syntax elements is sub-divided, a value z of the respective syntax elements falls into, so that a sum of values of the respective number of source symbols s.sub.i yields z, and, if n>1, for all i=1 . . . n1, the value of s.sub.i corresponds to a range of the i.sup.th partition.

A method, and the associated design, schema and techniques for processing digital data, whether random or not, through encoding and decoding losslessly and correctly for purposes of encryption/decryption or compression/decompression or both, including the use of Digital Lensing, Unlimited Code System, and other associated techniques. There is no assumption of or requirement for the digital information to be processed before processing.