Arbitrarily Substantial Number Representation for Complex Number
This work addresses the problem of representing complex numbers in real-valued machine learning algorithms, offering a lossless representation method for researchers in fields that use complex numbers.
The paper proposes a new method and four techniques to represent complex numbers as real numbers without information loss, enabling retrieval of the original complex number with minimal loss. The techniques show promising applicability for machine learning tasks involving complex numbers.
Researchers are often perplexed when their machine learning algorithms are required to deal with complex number. Various strategies are commonly employed to project complex number into real number, although it is frequently sacrificing the information contained in the complex number. This paper proposes a new method and four techniques to represent complex number as real number, without having to sacrifice the information contained. The proposed techniques are also capable of retrieving the original complex number from the representing real number, with little to none of information loss. The promising applicability of the proposed techniques has been demonstrated and worth to receive further exploration in representing the complex number.