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Gaussian processes (GP) are a widely used model for regression problems in supervised machine learning. Implementation of GP regression typically requires $O(n^3)$ logic gates. We show that the quantum linear systems algorithm [Harrow et…

Quantum Physics · Physics 2019-05-29 Zhikuan Zhao , Jack K. Fitzsimons , Joseph F. Fitzsimons

Genome assembly, the process of reconstructing a long genetic sequence by aligning and merging short fragments, or reads, is known to be NP-hard, either as a version of the shortest common superstring problem or in a Hamiltonian-cycle…

Statistical Mechanics · Physics 2024-03-12 L. A. Fernandez , V. Martin-Mayor , D. Yllanes

In this note we consider the iteration complexity of solving strongly convex multi objective optimization. We discuss the precise meaning of this problem, and indicate it is loosely defined, but the most natural notion is to find a set of…

Optimization and Control · Mathematics 2020-04-08 E. Bergou , Y. Diouane , V. Kungurtsev

The NSGA-II is one of the most prominent algorithms to solve multi-objective optimization problems. Despite numerous successful applications, several studies have shown that the NSGA-II is less effective for larger numbers of objectives. In…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Weijie Zheng , Benjamin Doerr

Cartesian Genetic Programming (CGP) has previously shown capabilities in image processing tasks by evolving programs with a function set specialized for computer vision. A similar approach can be applied to Atari playing. Programs are…

Neural and Evolutionary Computing · Computer Science 2018-06-18 Dennis G Wilson , Sylvain Cussat-Blanc , Hervé Luga , Julian F Miller

Complexity theory is a useful tool to study computational issues surrounding the elicitation of preferences, as well as the strategic manipulation of elections aggregating together preferences of multiple agents. We study here the…

Artificial Intelligence · Computer Science 2012-04-18 Toby Walsh

Exploration of task mappings plays a crucial role in achieving high performance in heterogeneous multi-processor system-on-chip (MPSoC) platforms. The problem of optimally mapping a set of tasks onto a set of given heterogeneous processors…

Performance · Computer Science 2014-07-01 Wei Quan , Andy D. Pimentel

Pareto optimization via evolutionary multi-objective algorithms has been shown to efficiently solve constrained monotone submodular functions. Traditionally when solving multiple problems, the algorithm is run for each problem separately.…

Neural and Evolutionary Computing · Computer Science 2026-04-17 Liam Wigney , Frank Neumann

Computational feasibility is a widespread concern that guides the framing and modeling of biological and artificial intelligence. The specification of cognitive system capacities is often shaped by unexamined intuitive assumptions about the…

Artificial Intelligence · Computer Science 2022-05-12 Federico Adolfi , Todd Wareham , Iris van Rooij

In recent years, graph neural networks (GNNs) have gained increasing attention, as they possess the excellent capability of processing graph-related problems. In practice, hyperparameter optimisation (HPO) is critical for GNNs to achieve…

Machine Learning · Computer Science 2021-04-29 Yingfang Yuan , Wenjun Wang , Wei Pang

Modern machine learning models are often constructed taking into account multiple objectives, e.g., minimizing inference time while also maximizing accuracy. Multi-objective hyperparameter optimization (MHPO) algorithms return such…

Machine Learning · Computer Science 2024-02-29 Matthias Feurer , Katharina Eggensperger , Edward Bergman , Florian Pfisterer , Bernd Bischl , Frank Hutter

This work discusses single-objective constrained genetic algorithm with floating-point, integer, binary and permutation representation. Floating-point genetic algorithm tuning with use of test functions is done and leads to a…

Neural and Evolutionary Computing · Computer Science 2022-10-10 Tomasz Tarkowski

Genetic Algorithms have established their capability for solving many complex optimization problems. Even as good solutions are produced, the user's understanding of a problem is not necessarily improved, which can lead to a lack of…

Neural and Evolutionary Computing · Computer Science 2024-07-10 GianCarlo Catalano , Alexander E. I. Brownlee , David Cairns , John McCall , Russell Ainslie

Powerful results from the theory of integer programming have recently led to substantial advances in parameterized complexity. However, our perception is that, except for Lenstra's algorithm for solving integer linear programming in fixed…

Data Structures and Algorithms · Computer Science 2018-10-26 Tomáš Gavenčiak , Dušan Knop , Martin Koutecký

Deep learning models form one of the most powerful machine learning models for the extraction of important features. Most of the designs of deep neural models, i.e., the initialization of parameters, are still manually tuned. Hence,…

Machine Learning · Computer Science 2023-05-18 Mrittika Chakraborty , Wreetbhas Pal , Sanghamitra Bandyopadhyay , Ujjwal Maulik

In the context of evolutionary quantum computing in the literal meaning, a quantum crossover operation has not been introduced so far. Here, we introduce a novel quantum genetic algorithm which has a quantum crossover procedure performing…

Neural and Evolutionary Computing · Computer Science 2014-02-05 Akira SaiToh , Robabeh Rahimi , Mikio Nakahara

Modern population genetics studies typically involve genome-wide genotyping of individuals from a diverse network of ancestries. An important, unsolved problem is how to formulate and estimate probabilistic models of observed genotypes that…

Populations and Evolution · Quantitative Biology 2017-01-10 Wei Hao , Minsun Song , John D. Storey

Industrial robots can solve very complex tasks in controlled environments, but modern applications require robots able to operate in unpredictable surroundings as well. An increasingly popular reactive policy architecture in robotics is…

Robotics · Computer Science 2021-03-17 Jonathan Styrud , Matteo Iovino , Mikael Norrlöf , Mårten Björkman , Christian Smith

We consider a Gaussian process formulation of the multiple kernel learning problem. The goal is to select the convex combination of kernel matrices that best explains the data and by doing so improve the generalisation on unseen data.…

Machine Learning · Statistics 2011-10-25 Cedric Archambeau , Francis Bach

A measure called Physical Complexity is established and calculated for a population of sequences, based on statistical physics, automata theory, and information theory. It is a measure of the quantity of information in an organism's genome.…

Biological Physics · Physics 2011-12-02 Gerard Briscoe , Philippe De Wilde