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Related papers: BLASYS: Approximate Logic Synthesis Using Boolean …

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Approximate computing is an emerging paradigm where design accuracy can be traded for improvements in design metrics such as design area and power consumption. In this work, we overview our open-source tool, BLASYS, for synthesis of…

Hardware Architecture · Computer Science 2025-07-01 Jingxiao Ma , Soheil Hashemi , Sherief Reda

Addressing the interpretability problem of NMF on Boolean data, Boolean Matrix Factorization (BMF) uses Boolean algebra to decompose the input into low-rank Boolean factor matrices. These matrices are highly interpretable and very useful in…

Machine Learning · Computer Science 2023-07-18 Sebastian Dalleiger , Jilles Vreeken

Boolean Matrix Factorization (BMF) aims to find an approximation of a given binary matrix as the Boolean product of two low-rank binary matrices. Binary data is ubiquitous in many fields, and representing data by binary matrices is common…

Machine Learning · Computer Science 2022-07-26 Fedor Fomin , Fahad Panolan , Anurag Patil , Adil Tanveer

Boolean matrix factorization (BMF) approximates a given binary input matrix as the product of two smaller binary factors. Unlike binary matrix factorization based on standard arithmetic, BMF employs the Boolean OR and AND operations for the…

Information Retrieval · Computer Science 2025-12-05 Christos Kolomvakis , Thomas Bobille , Arnaud Vandaele , Nicolas Gillis

The goal of Boolean Matrix Factorization (BMF) is to approximate a given binary matrix as the product of two low-rank binary factor matrices, where the product of the factor matrices is computed under the Boolean algebra. While the problem…

Machine Learning · Computer Science 2020-12-08 Pauli Miettinen , Stefan Neumann

Identifying informative components in binary data is an essential task in many research areas, including life sciences, social sciences, and recommendation systems. Boolean matrix factorization (BMF) is a family of methods that performs…

Machine Learning · Computer Science 2024-07-03 Sebastian Dalleiger , Jilles Vreeken , Michael Kamp

In order to solve large matrix completion problems with practical computational cost, an approximate approach based on matrix factorization has been widely used. Alternating least squares (ALS) and stochastic gradient descent (SGD) are two…

Numerical Analysis · Mathematics 2020-01-08 Chihiro Noguchi , Yoshiyuki Kabashima

Approximate computing is an effective computing paradigm for improving the energy efficiency of error-tolerant applications. Approximate logic synthesis (ALS) is an automatic process to generate approximate circuits with reduced area,…

Emerging Technologies · Computer Science 2026-01-22 Chang Meng , Weikang Qian , Giovanni De Micheli

The automated synthesis of correct-by-construction Boolean functions from logical specifications is known as the Boolean Functional Synthesis (BFS) problem. BFS has many application areas that range from software engineering to circuit…

Artificial Intelligence · Computer Science 2022-12-19 Ravi Raja , Stanly Samuel , Chiranjib Bhattacharyya , Deepak D'Souza , Aditya Kanade

A novel approach to Boolean matrix factorization (BMF) is presented. Instead of solving the BMF problem directly, this approach solves a nonnegative optimization problem with the constraint over an auxiliary matrix whose Boolean structure…

Data Structures and Algorithms · Computer Science 2021-08-27 Duc P. Truong , Erik Skau , Derek Desantis , Boian Alexandrov

We present new results on Boolean matrix factorization and a new algorithm based on these results. The results emphasize the significance of factorizations that provide from-below approximations of the input matrix. While the previously…

Numerical Analysis · Computer Science 2015-06-26 Radim Belohlavek , Martin Trnecka

Boolean matrix factorization (BMF) approximates a given binary input matrix as the product of two smaller binary factors. As opposed to binary matrix factorization which uses standard arithmetic, BMF uses the Boolean OR and Boolean AND…

Optimization and Control · Mathematics 2023-05-18 Christos Kolomvakis , Arnaud Vandaele , Nicolas Gillis

During the past few years Boolean matrix factorization (BMF) has become an important direction in data analysis. The minimum description length principle (MDL) was successfully adapted in BMF for the model order selection. Nevertheless, a…

Machine Learning · Computer Science 2019-01-29 Tatiana Makhalova , Martin Trnecka

With larger data at their disposal, scientists are emboldened to tackle complex questions that require sophisticated statistical models. It is not unusual for the latter to have likelihood functions that elude analytical formulations. Even…

Computation · Statistics 2019-05-17 Evgeny Levi , Radu V. Craiu

The Boolean matrix factorization problem consists in approximating a matrix by the Boolean product of two smaller Boolean matrices. To obtain optimal solutions when the matrices to be factorized are small, we propose SAT and MaxSAT…

Machine Learning · Computer Science 2021-06-21 Florent Avellaneda , Roger Villemaire

Approximate Logic Synthesis (ALS) is the process of synthesizing and mapping a given Boolean network to a library of logic cells so that the magnitude/rate of error between outputs of the approximate and initial (exact) Boolean netlists is…

Hardware Architecture · Computer Science 2019-02-04 Ghasem Pasandi , Shahin Nazarian , Massoud Pedram

With reference to a baseline parametrization, we explore highly efficient fractional factorial designs for inference on the main effects and, perhaps, some interactions. Our tools include approximate theory together with certain carefully…

Statistics Theory · Mathematics 2014-05-14 Rahul Mukerjee , S. Huda

Approximate multipliers are widely being advocated for energy-efficient computing in applications that exhibit an inherent tolerance to inaccuracy. However, the inclusion of accuracy as a key design parameter, besides the performance, area…

Emerging Technologies · Computer Science 2018-03-20 Mahmoud Masadeh , Osman Hasan , Sofiene Tahar

Matrix Factorization (MF) on large scale matrices is computationally as well as memory intensive task. Alternative convergence techniques are needed when the size of the input matrix is higher than the available memory on a Central…

Machine Learning · Computer Science 2019-01-21 Prasad G Bhavana , Vineet C Nair

The increasing demand for energy-efficient solutions has led to the emergence of an approximate computing paradigm that enables power-efficient implementations in various application areas such as image and data processing. The median…

Hardware Architecture · Computer Science 2025-10-23 Vojtech Mrazek , Zdenek Vasicek
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