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We devise greedy heuristics tailored for synthesizing quantum circuits that implement a specified set of Pauli rotations. Our heuristics are designed to minimize either the count of entangling gates or the depth of entangling gates, and…

Quantum Physics · Physics 2024-04-05 Timothée Goubault de Brugière , Simon Martiel

Making AI safe and dependable requires the generation of dependable models and dependable execution of those models. We propose redundant execution as a well-known technique that can be used to ensure reliable execution of the AI model.…

Artificial Intelligence · Computer Science 2024-05-10 Hans Dermot Doran , Suzana Veljanovska

It is common to encounter situations where one must solve a sequence of similar computational problems. Running a standard algorithm with worst-case runtime guarantees on each instance will fail to take advantage of valuable structure…

Machine Learning · Computer Science 2019-04-29 Daniel Alabi , Adam Tauman Kalai , Katrina Ligett , Cameron Musco , Christos Tzamos , Ellen Vitercik

The geometric high-order regularization methods such as mean curvature and Gaussian curvature, have been intensively studied during the last decades due to their abilities in preserving geometric properties including image edges, corners,…

Image and Video Processing · Electrical Eng. & Systems 2023-03-22 Zhenwei Zhang , Ke Chen , Ke Tang , Yuping Duan

We present a fast randomized algorithm that computes a low rank LU decomposition. Our algorithm uses random projections type techniques to efficiently compute a low rank approximation of large matrices. The randomized LU algorithm can be…

Numerical Analysis · Mathematics 2016-02-02 Gil Shabat , Yaniv Shmueli , Yariv Aizenbud , Amir Averbuch

We investigate the Robust Multiperiod Network Design Problem, a generalization of the Capacitated Network Design Problem (CNDP) that, besides establishing flow routing and network capacity installation as in a canonical CNDP, also considers…

Optimization and Control · Mathematics 2017-05-01 Fabio D'Andreagiovanni , Jonatan Krolikowski , Jonad Pulaj

We introduce the lcm-filtration and stepwise filtration, comparing their performance across various scenarios in terms of computational complexity, efficiency, and redundancy. The lcm-filtration often involves identical steps or ideals,…

Discrete Mathematics · Computer Science 2025-05-07 Fatemeh Mohammadi , Eduardo Sáenz-de-Cabezón , Henry Wynn

We present a new heuristic algorithm finding reset words. The algorithm called CutOff-IBFS is based on a simple idea of inverse breadth-first-search in the power automaton. We perform an experimental investigation of effectiveness compared…

Formal Languages and Automata Theory · Computer Science 2013-08-12 Jakub Kowalski , Marek Szykuła

Redundancy-aware extractive summarization systems score the redundancy of the sentences to be included in a summary either jointly with their salience information or separately as an additional sentence scoring step. Previous work shows the…

Computation and Language · Computer Science 2021-04-06 Keping Bi , Rahul Jha , W. Bruce Croft , Asli Celikyilmaz

The aim of the paper is to introduce general techniques in order to optimize the parallel execution time of sorting on a distributed architectures with processors of various speeds. Such an application requires a partitioning step. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Christophe Cérin , Jean-Christophe Dubacq , Jean-Louis Roch , the SafeScale Collaboration

Quantum computer algorithms can exploit the structure of random satisfiability problems. This paper extends a previous empirical evaluation of such an algorithm and gives an approximate asymptotic analysis accounting for both the average…

Quantum Physics · Physics 2007-05-23 Tad Hogg

In this paper, we describe the hyper-parameter search problem in the field of machine learning and present a heuristic approach in an attempt to tackle it. In most learning algorithms, a set of hyper-parameters must be determined before…

Machine Learning · Computer Science 2020-01-14 Wei Hao Khoong

Enumeration algorithms have been one of recent hot topics in theoretical computer science. Different from other problems, enumeration has many interesting aspects, such as the computation time can be shorter than the total output size, by…

Data Structures and Algorithms · Computer Science 2014-07-16 Takeaki Uno

The idea of computational error correction has been around for over half a century. The motivation has largely been to mitigate unreliable devices, manufacturing defects or harsh environments, primarily as a mandatory measure to preserve…

Other Computer Science · Computer Science 2016-11-11 Sriseshan Srikanth , Bobin Deng , Thomas M. Conte

Max Restricted Path Consistency (maxRPC) is a local consistency for binary constraints that can achieve considerably stronger pruning than arc consistency. However, existing maxRRC algorithms suffer from overheads and redundancies as they…

Artificial Intelligence · Computer Science 2010-09-01 Thanasis Balafoutis , Anastasia Paparrizou , Kostas Stergiou , Toby Walsh

This article investigates a bi-objective redundancy allocation problem (RAP) for repairable systems, defined as cost minimization and availability maximization. Binary decisions jointly select the number of components and the standby…

Neural and Evolutionary Computing · Computer Science 2025-12-23 Mateusz Oszczypała , David Ibehej , Jakub Kudela

Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where traditional sparse numerical linear algebra…

Computational Engineering, Finance, and Science · Computer Science 2024-01-26 Kasia Świrydowicz , Nicholson Koukpaizan , Maksudul Alam , Shaked Regev , Michael Saunders , Slaven Peleš

A set of solver-free heuristics for the offshore wind collection system problem are presented. Currently, methods of this type are not able to cope with typical constraints, and most of their variations minimize only for accumulated cable…

Systems and Control · Electrical Eng. & Systems 2021-09-01 Juan-Andrés Pérez-Rúa

Traditional source separation approaches train deep neural network models end-to-end with all the data available at once by minimizing the empirical risk on the whole training set. On the inference side, after training the model, the user…

Modern safety-critical systems are heterogeneous, complex, and highly dynamic. They require reliability evaluation methods that go beyond the classical static methods such as fault trees, event trees, or reliability block diagrams.…

Logic in Computer Science · Computer Science 2020-04-15 Clemens Dubslaff , Andrey Morozov , Christel Baier , Klaus Janschek