Index generation functions: Minimization methods

T Sasao - 2017 IEEE 47th International Symposium on Multiple …, 2017 - ieeexplore.ieee.org
Incompletely specified index generation functions can often be represented with fewer
variables than original functions by appropriately assigning values to don't cares. The …

Linear and non-linear decomposition of index generation functions

T Mazurkiewicz, T Łuba - 2019 MIXDES-26th International …, 2019 - ieeexplore.ieee.org
Minimization of index generation functions attracts increasing interest lately. Methods
proposed in the literature focus mainly on linear decomposition using XOR gates. In this …

Non-disjoint functional decomposition of index generation functions

T Mazurkiewicz - 2020 IEEE 50th international symposium on …, 2020 - ieeexplore.ieee.org
Various approaches have been proposed to minimize specific Boolean functions called
index generation functions. However, these techniques do not guarantee optimum …

On optimum linear decomposition of symmetric index generation functions

S Nagayama, T Sasao, JT Butler - 2020 IEEE 50th International …, 2020 - ieeexplore.ieee.org
This paper shows study results on linear decomposition of symmetric index generation
functions. We analyze properties of symmetric index generation functions, and derive a …

An iterative method for linear decomposition of index generating functions

S Hodžić, E Pasalic, A Chattopadhyay - Cryptography and …, 2019 - Springer
Various methods for reducing hardware implementation cost of incompletely specified index
generating functions have been proposed lately. Considering the methods based on linear …

Non-disjoint decomposition using r-admissibility and graph coloring and its application in index generation functions minimization

T Mazurkiewicz, T Łuba - 2019 MIXDES-26th International …, 2019 - ieeexplore.ieee.org
Functional decomposition is a crucial task in logic synthesis. In this paper we present a
theory for finding such decomposition using the notion of r-admissibility and graph coloring …

References on Classification Functions

T Sasao - Classification Functions for Machine Learning and …, 2023 - Springer
References on Classification Functions Page 1 11 References on Classification Functions This
chapter lists papers on classification functions and index generation functions. Some …

Improvement in the quality of solutions of a heuristic linear decomposer for index generation functions

S Nagayama, T Sasao, JT Butler - 2021 IEEE 51st International …, 2021 - ieeexplore.ieee.org
This paper presents a method to improve a heuristic linear decomposer for index generation
functions. Besides being fast and scalable, it also improves the solutions. This is done …

Algebraic and combinatorial methods for reducing the number of variables of partially defined discrete functions

JT Astola, P Astola, RS Stanković… - 2017 IEEE 47th …, 2017 - ieeexplore.ieee.org
Applications of pattern recognition, design of fault tolerant systems and communications
have key problems that are naturally described by partially defined (incompletely defined) …

Metody wyboru dekompozycji dla algorytmu z wykorzystaniem zbiorów niezgodności i ich wpływ na minimalizację generatorów indeksów

T Mazurkiewicz, T Łuba - Przegląd Telekomunikacyjny …, 2018 - repo.bg.wat.edu.pl
Memory minimization seems to be the main problem of effective index generation functions
hardware implementation. A linear decomposition can be used to reduce memory size. In …