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The thesis deals with Quantum Algorithms for solving Hard Constrained Optimization Problems. It shows how quantum computers can solve difficult everyday problems such as finding the best schedule for social workers or the path of a robot…

Quantum Physics · Physics 2022-03-01 Parfait Atchade-Adelomou

Sparse, irregular graphs show up in various applications like linear algebra, machine learning, engineering simulations, robotic control, etc. These graphs have a high degree of parallelism, but their execution on parallel threads of modern…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-17 Nimish Shah , Wannes Meert , Marian Verhelst

In this tutorial-style review we discuss basic concepts of coupled cluster theory and recent developments that increase its computational efficiency for calculations of molecules, solids and materials in general. We will touch upon the…

Materials Science · Physics 2020-04-15 Igor Ying Zhang , Andreas Grüneis

Binary optimisation tasks are ubiquitous in areas ranging from logistics to cryptography. The exponential complexity of such problems means that the performance of traditional computational methods decreases rapidly with increasing problem…

We present a systematic, algebraically based, design methodology for efficient implementation of computer programs optimized over multiple levels of the processor/memory and network hierarchy. Using a common formalism to describe the…

Mathematical Software · Computer Science 2008-03-18 Lenore R. Mullin , James E. Raynolds

Quantum computing (QC) has gained popularity due to its unique capabilities that are quite different from that of classical computers in terms of speed and methods of operations. This paper proposes hybrid models and methods that…

Quantum Physics · Physics 2019-11-12 Akshay Ajagekar , Travis Humble , Fengqi You

Using prototype methods to reduce the size of training datasets can drastically reduce the computational cost of classification with instance-based learning algorithms like the k-Nearest Neighbour classifier. The number and distribution of…

Machine Learning · Computer Science 2021-04-13 Ilia Sucholutsky , Matthias Schonlau

Convolutional Neural Networks (CNNs) are state-of-the-art in numerous computer vision tasks such as object classification and detection. However, the large amount of parameters they contain leads to a high computational complexity and…

Machine Learning · Computer Science 2019-01-01 Ghouthi Boukli Hacene , Vincent Gripon , Matthieu Arzel , Nicolas Farrugia , Yoshua Bengio

Efficient and real time segmentation of color images has a variety of importance in many fields of computer vision such as image compression, medical imaging, mapping and autonomous navigation. Being one of the most computationally…

Computer Vision and Pattern Recognition · Computer Science 2017-10-09 Roopal Nahar , Akanksha Baranwal , K. Madhava Krishna

We present a probabilistic graphical model formulation for the graph clustering problem. This enables to locally represent uncertainty of image partitions by approximate marginal distributions in a mathematically substantiated way, and to…

Computer Vision and Pattern Recognition · Computer Science 2016-01-12 Jörg Hendrik Kappes , Paul Swoboda , Bogdan Savchynskyy , Tamir Hazan , Christoph Schnörr

The problem of object restoration in the case of spatially incoherent illumination is considered. A regularized solution to the inverse problem is obtained through a probabilistic approach, and a numerical algorithm based on the statistical…

Optics · Physics 2009-11-13 Enrico De Micheli , Giovanni Alberto Viano

In this paper, we discuss software design issues related to the development of parallel computational intelligence algorithms on multi-core CPUs, using the new Java 8 functional programming features. In particular, we focus on probabilistic…

Artificial Intelligence · Computer Science 2017-07-10 Andres R. Masegosa , Ana M. Martinez , Hanen Borchani

Gate model quantum computers with too many qubits to be simulated by available classical computers are about to arrive. We present a strategy for programming these devices without error correction or compilation. This means that the number…

Quantum Physics · Physics 2017-03-21 E. Farhi , J. Goldstone , S. Gutmann , H. Neven

Ising machines -- special-purpose hardware for heuristically solving Ising optimization problems -- based on probabilistic bits (p-bits) have been established as a promising alternative to heuristic optimization algorithms run on…

Factorizing low-rank matrices is a problem with many applications in machine learning and statistics, ranging from sparse PCA to community detection and sub-matrix localization. For probabilistic models in the Bayes optimal setting, general…

Information Theory · Computer Science 2018-12-07 Jean Barbier , Mohamad Dia , Nicolas Macris , Florent Krzakala , Lenka Zdeborová

Virtualization technology allows currently any application run any application complex and expensive computational (the scientific applications are a good example) on heterogeneous distributed systems, which make regular use of Grid and…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-03 Tomas Ramirez Picarzo , Francisco Fernandez de Vega , Daniel Lombrana Gonzalez

Modern computer architectures support low-precision arithmetic, which present opportunities for the adoption of mixed-precision algorithms to achieve high computational throughput and reduce energy consumption. As a growing number of…

Computation · Statistics 2024-12-02 Sahil Bhola , Karthik Duraisamy

Many hard combinatorial problems can be mapped onto Ising models, which replicate the behavior of classical spins. Recent advances in probabilistic computers are characterized by parallelization and the introduction of novel hardware…

Computational Physics · Physics 2025-11-10 Andrew Rockovich , Gregory Lafyatis , Daniel J. Gauthier

Ising Machines are emerging hardware architectures that efficiently solve NP-Hard combinatorial optimization problems. Generally, combinatorial problems are transformed into quadratic unconstrained binary optimization (QUBO) form, but this…

Hardware Architecture · Computer Science 2025-09-12 Chirag Garg , Sayeef Salahuddin

Efficient optimisation algorithms have become important tools for finding high-quality solutions to hard, real-world problems such as production scheduling, timetabling, or vehicle routing. These algorithms are typically "black boxes" that…

Human-Computer Interaction · Computer Science 2020-09-08 Jie Liu , Tim Dwyer , Guido Tack , Samuel Gratzl , Kim Marriott
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