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A ubiquitous problem in pattern recognition is that of matching an observed time-evolving pattern (or signal) to a gold standard in order to recognize or characterize the meaning of a dynamic phenomenon. Examples include matching sequences…

Optimization and Control · Mathematics 2017-05-11 Gregory S Chirikjian

Variational quantum algorithms dominate contemporary gate-based quantum enhanced optimisation, eigenvalue estimation and machine learning. Here we establish the quantum computational universality of variational quantum computation by…

Quantum Physics · Physics 2021-05-25 Jacob Biamonte

Graph Neural Networks (GNNs) have deeply modified the landscape of numerical simulations by demonstrating strong capabilities in approximating solutions of physical systems. However, their ability to extrapolate beyond their training domain…

Machine Learning · Computer Science 2025-08-27 Paul Garnier , Jonathan Viquerat , Elie Hachem

Generative adversarial networks (GANs) form a generative modeling approach known for producing appealing samples, but they are notably difficult to train. One common way to tackle this issue has been to propose new formulations of the GAN…

Machine Learning · Computer Science 2020-09-01 Gauthier Gidel , Hugo Berard , Gaëtan Vignoud , Pascal Vincent , Simon Lacoste-Julien

The Global Vectors for word representation (GloVe), introduced by Jeffrey Pennington et al. is reported to be an efficient and effective method for learning vector representations of words. State-of-the-art performance is also provided by…

Computation and Language · Computer Science 2014-11-27 Tianze Shi , Zhiyuan Liu

Genetic programming (GP) is an evolutionary computation technique to solve problems in an automated, domain-independent way. Rather than identifying the optimum of a function as in more traditional evolutionary optimization, the aim of GP…

Neural and Evolutionary Computing · Computer Science 2019-05-15 Andrei Lissovoi , Pietro S. Oliveto

Optimization problem, which is aimed at finding the global minimal value of a given cost function, is one of the central problem in science and engineering. Various numerical methods have been proposed to solve this problem, among which the…

Optimization and Control · Mathematics 2022-10-07 Shaojun Dong , Fengyu Le , Meng Zhang , Si-Jing Tao , Chao Wang , Yong-Jian Han , Guo-Ping Guo

Graph classification is a challenging problem owing to the difficulty in quantifying the similarity between graphs or representing graphs as vectors, though there have been a few methods using graph kernels or graph neural networks (GNNs).…

Machine Learning · Computer Science 2024-08-22 Zixiao Wang , Jicong Fan

Triangular arbitrage is a profitable trading strategy in financial markets that exploits discrepancies in currency exchange rates. Traditional methods for detecting triangular arbitrage opportunities, such as exhaustive search algorithms…

Trading and Market Microstructure · Quantitative Finance 2025-10-14 Di Zhang

Due to the increasing demand for high performance and cost reduction within the framework of complex system design, numerical optimization of computationally costly problems is an increasingly popular topic in most engineering fields. In…

Optimization and Control · Mathematics 2018-06-12 Julien Pelamatti , Loïc Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

General value functions (GVFs) in the reinforcement learning (RL) literature are long-term predictive summaries of the outcomes of agents following specific policies in the environment. Affordances as perceived action possibilities with…

Artificial Intelligence · Computer Science 2021-05-11 Daniel Graves , Johannes Günther , Jun Luo

Graph neural networks (GNNs) find applications in various domains such as computational biology, natural language processing, and computer security. Owing to their popularity, there is an increasing need to explain GNN predictions since…

Machine Learning · Computer Science 2022-11-14 Mert Kosan , Zexi Huang , Sourav Medya , Sayan Ranu , Ambuj Singh

We present extended Galerkin neural networks (xGNN), a variational framework for approximating general boundary value problems (BVPs) with error control. The main contributions of this work are (1) a rigorous theory guiding the construction…

Numerical Analysis · Mathematics 2024-12-04 Mark Ainsworth , Justin Dong

Missing values widely exist in many real-world datasets, which hinders the performing of advanced data analytics. Properly filling these missing values is crucial but challenging, especially when the missing rate is high. Many approaches…

Machine Learning · Computer Science 2018-08-07 Hongbao Zhang , Pengtao Xie , Eric Xing

Singular value decomposition is central to many problems in engineering and scientific fields. Several quantum algorithms have been proposed to determine the singular values and their associated singular vectors of a given matrix. Although…

Quantum Physics · Physics 2021-06-30 Xin Wang , Zhixin Song , Youle Wang

Given a computable sequence of natural numbers, it is a natural task to find a G\"odel number of a program that generates this sequence. It is easy to see that this problem is neither continuous nor computable. In algorithmic learning…

Logic · Mathematics 2023-02-09 Vasco Brattka

A Variable Parameter (VP) analysis, that we introduce here, aims to give a precise algorithm time complexity expression in which an exponent appears solely in terms of a variable parameter. A variable parameter is the number of objects with…

Data Structures and Algorithms · Computer Science 2025-07-08 Nodari Vakhania

Dynamic environments require adaptive applications. One particular machine learning problem in dynamic environments is open world recognition. It characterizes a continuously changing domain where only some classes are seen in one batch of…

Machine Learning · Computer Science 2022-05-31 Tobias Koch , Felix Liebezeit , Christian Riess , Vincent Christlein , Thomas Köhler

Vision Transformers achieve impressive accuracy across a range of visual recognition tasks. Unfortunately, their accuracy frequently comes with high computational costs. This is a particular issue in video recognition, where models are…

Computer Vision and Pattern Recognition · Computer Science 2023-08-28 Matthew Dutson , Yin Li , Mohit Gupta

Most image instance retrieval pipelines are based on comparison of vectors known as global image descriptors between a query image and the database images. Due to their success in large scale image classification, representations extracted…

Computer Vision and Pattern Recognition · Computer Science 2016-01-14 Olivier Morère , Antoine Veillard , Jie Lin , Julie Petta , Vijay Chandrasekhar , Tomaso Poggio