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We consider the path approximation of Bessel processes and develop a new and efficient algorithm. This study is based on a recent work by the authors, on the path approximation of the Brownian motion, and on the construction of specific own…

Probability · Mathematics 2021-06-02 Madalina Deaconu , Samuel Herrmann

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

This thesis develops signal-processing algorithms and implementation schemes under constraints of minimal parallelism and memory space, with the goal of improving energy efficiency of low-power computing hardware. We propose (i) a…

Signal Processing · Electrical Eng. & Systems 2025-12-30 Sergey Salishev

We present QEst, a procedure to systematically generate approximations for quantum circuits to reduce their CNOT gate count. Our approach employs circuit partitioning for scalability with procedures to 1) reduce circuit length using…

Quantum Physics · Physics 2021-08-31 Tirthak Patel , Ed Younis , Costin Iancu , Wibe de Jong , Devesh Tiwari

Flow matching is a powerful framework for generating high-quality samples in various applications, especially image synthesis. However, the intensive computational demands of these models, especially during the finetuning process and…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 Bao Nguyen , Binh Nguyen , Viet Anh Nguyen

We consider the task of performing probabilistic inference with probabilistic logical models. Many algorithms for approximate inference with such models are based on sampling. From a logic programming perspective, sampling boils down to…

Artificial Intelligence · Computer Science 2015-03-19 Daan Fierens

Approximate Bayesian Computation (ABC) can be viewed as an analytic approximation of an intractable likelihood coupled with an elementary simulation step. Such a view, combined with a suitable instrumental prior distribution permits…

Methodology · Statistics 2013-01-04 F. J. Rubio , Adam M. Johansen

Approximate Graph Pattern Mining (AGPM) is essential for analyzing large-scale graphs where exact counting is computationally prohibitive. While there exist numerous sampling-based AGPM systems, they all rely on uniform sampling and…

Data Structures and Algorithms · Computer Science 2026-01-06 Seoyong Lee , Jinho Lee

Logic synthesis is a crucial phase in the circuit design process, responsible for transforming hardware description language (HDL) designs into optimized netlists. However, traditional logic synthesis methods are computationally intensive,…

While a couple of impressive quantum technologies have been proposed, they have several intrinsic limitations which must be considered by circuit designers to produce realizable circuits. Limited interaction distance between gate qubits is…

Quantum Physics · Physics 2012-09-06 Mehdi Saeedi , Robert Wille , Rolf Drechsler

In this study, we propose a novel computing paradigm "Bit Stream Computing" that is constructed on the logic used in stochastic computing, but does not necessarily employ randomly or Binomially distributed bit streams as stochastic…

Emerging Technologies · Computer Science 2019-04-30 Ensar Vahapoglu , Mustafa Altun

Block-encodings of matrices have become an essential element of quantum algorithms derived from the quantum singular value transformation. This includes a variety of algorithms ranging from the quantum linear systems problem to quantum…

Quantum Physics · Physics 2023-06-13 Daan Camps , Roel Van Beeumen

Triple Modular Redundancy (TMR) has been traditionally used to ensure complete tolerance to a single fault or a faulty processing unit, where the processing unit may be a circuit or a system. However, TMR incurs more than 200% overhead in…

Hardware Architecture · Computer Science 2023-11-02 P Balasubramanian , D L Maskell

A large semantic gap between the high-level synthesis (HLS) design and the low-level (on-board or RTL) simulation environment often creates a barrier for those who are not FPGA experts. Moreover, such low-level simulation takes a long time…

Hardware Architecture · Computer Science 2018-12-27 Yuze Chi , Young-kyu Choi , Jason Cong , Jie Wang

Multipliers are widely-used arithmetic operators in digital signal processing and machine learning circuits. Due to their relatively high complexity, they can have high latency and be a significant source of power consumption. One strategy…

Hardware Architecture · Computer Science 2023-10-17 Shervin Vakili , Mobin Vaziri , Amirhossein Zarei , J. M. Pierre Langlois

When approaching to problems in computer science, we often encounter situations where a subset of a finite set maximizing some utility function needs to be selected. Some of such utility functions are known to be approximately submodular.…

Data Structures and Algorithms · Computer Science 2019-04-30 Naoya Uematsu , Shunji Umetani , Yoshinobu Kawahara

In this paper a low power multiplier is proposed. The proposed multiplier utilizes Broken-Array Multiplier approximation method on the conventional modified Booth multiplier. This method reduces the total power consumption of multiplier up…

Hardware Architecture · Computer Science 2020-03-17 Farzad Farshchi , Muhammad Saeed Abrishami , Sied Mehdi Fakhraie

An important issue with oversampled FIR analysis filter banks (FBs) is to determine inverse synthesis FBs, when they exist. Given any complex oversampled FIR analysis FB, we first provide an algorithm to determine whether there exists an…

Information Theory · Computer Science 2023-01-19 Jerome Gauthier , Laurent Duval , Jean-Christophe Pesquet

Automatic synthesis of hardware components from declarative specifications is an ambitious endeavor in computer aided design. Existing synthesis algorithms are often implemented with Binary Decision Diagrams (BDDs), inheriting their…

Logic in Computer Science · Computer Science 2013-11-15 Roderick Bloem , Robert Koenighofer , Martina Seidl

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