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2 results about "Complete sequence" patented technology

In mathematics, a sequence of natural numbers is called a complete sequence if every positive integer can be expressed as a sum of values in the sequence, using each value at most once. For example, the sequence of powers of two {1, 2, 4, 8, ...}, the basis of the binary numeral system, is a complete sequence; given any natural number, we can choose the values corresponding to the 1 bits in its binary representation and sum them to obtain that number (e.g. 37 = 100101₂ = 1 + 4 + 32). This sequence is minimal, since no value can be removed from it without making some natural numbers impossible to represent. Simple examples of sequences that are not complete include the even numbers, since adding even numbers produces only even numbers—no odd number can be formed.

A non-causal magnetic field strength calculation method and system based on an analytical model and a neural network

This invention discloses a method and system for calculating non-causal magnetic field strength based on an analytical model and a neural network. The method first obtains a fixed parameter set by fitting the equivalent permeability polynomial parameters of the analytical model based on training samples. Then, it calculates the analytical baseline sequence Ha(t) based on the input magnetic flux density sequence B(t) and the fixed parameters. B(t) and Ha(t) are then constructed as feature sequences containing the original sequence, first-order difference, second-order difference, first-order cumulative sum, and inflection point indicators, respectively. These are concatenated with temperature features copied to the sequence length and input into a trained non-causal sequence neural network model, outputting a residual sequence ΔH(t). The final predicted magnetic field strength value is H(t) = Ha(t) + ΔH(t). This invention performs learning in the residual domain, reducing the difficulty of network modeling, and utilizes a bidirectional long short-term memory network to achieve non-causal inference in offline scenarios with known complete sequences, significantly improving prediction accuracy and generalization ability.
Owner:SOUTHEAST UNIV

A method of augmenting a sequence dataset

The disclosure discloses a method for expanding a sequence data set, comprising: obtaining a distance matrix of two-by-two sequences in an original sequence data set; obtaining an initial average sequence and an initialized weight array based on the original sequence data set and the distance matrix; obtaining a generated sequence based on the initial average sequence and the initialized weight array; constructing a sequence observation value generation model, and taking the generated sequence as an input of the model, and outputting an observation value corresponding to the generated sequence, so that the generated sequence and the observation value corresponding thereto form a complete sequence data set; and combining the complete sequence data set with the original sequence data set, and performing deduplication to complete expansion of the sequence data set.
Owner:XI AN JIAOTONG UNIV