8 citations · 11 across the 9 of their papers we have counts for
9 papers
Fully tensorial approach to hypercomplex-valued neural networks
Agnieszka Niemczynowicz, Radosław Antoni Kycia
A fully tensorial theoretical framework for hypercomplex-valued neural networks is presented. The proposed approach enables neural network architectures to operate on data defined…
KHNNs: hypercomplex neural networks computations via Keras using TensorFlow and PyTorch
Agnieszka Niemczynowicz, Radosław Antoni Kycia
Neural networks used in computations with more advanced algebras than real numbers perform better in some applications. However, there is no general framework for constructing hype…
Hypercomplex neural network in time series forecasting of stock data
Radosław Kycia, Agnieszka Niemczynowicz
The goal of this paper is to test three classes of neural network (NN) architectures based on four-dimensional (4D) hypercomplex algebras for time series prediction. We evaluate di…
Selected aspects of complex, hypercomplex and fuzzy neural networks
Agnieszka Niemczynowicz, Radosław A. Kycia, Maciej Jaworski +8
This short report reviews the current state of the research and methodology on theoretical and practical aspects of Artificial Neural Networks (ANN). It was prepared to gather stat…
Towards the global vision of engagement of Generation Z at the workplace: Mathematical modeling
Radosław A. Kycia, Agnieszka Niemczynowicz, Joanna Nieżurawska-Zając
Correlation and cluster analyses (k-Means, Gaussian Mixture Models) were performed on Generation Z engagement surveys at the workplace. The clustering indicates relations between v…
TreeGen -- a Monte Carlo generator for data frames
Agnieszka Niemczynowicz, Gabriela Białoskórska, Joanna Nieżurawska-Zając +1
The typical problem in Data Science is creating a structure that encodes the occurrence frequency of unique elements in rows and relations between different rows of a data frame. W…
Simple explanation of Landauer's bound and its ineffectiveness for multivalued logic
Radosław A. Kycia, Agnieszka Niemczynowcz
We discuss, using recent results on the Landauer's bound in multivalued logic, the difficulties and pitfalls of how to apply this principle. The presentation is based on Szilard's…
Entropy in Themodynamics: from Foliation to Categorization
Radosław A. Kycia
We overview the notion of entropy in thermodynamics. We start from the smooth case using differential forms on the manifold, which is the natural language for thermodynamics. Then…
Landauer's principle as a special case of Galois connection
Radosław A. Kycia
It is demonstrated how to construct a Galois connection between two related systems with entropy. The construction, called the Landauer's connection, describes coupling between two…