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The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produce arbitrarily-detailed information about the underlying…

Machine Learning · Computer Science 2023-01-31 William Gilpin

Gravitation as a fundamental interaction that governs all phenomena at large and very small scales, but still not well understood at a quantum level, is a cardinal missing link in unification of all physical interactions. Discovery of the…

General Relativity and Quantum Cosmology · Physics 2009-11-30 V. N. Melnikov

In this paper, we explore the application of variational quantum algorithms designed for classical optimization to the problem of matched filtering in the detection of gravitational waves. Matched filtering for detecting gravitational wave…

Quantum Physics · Physics 2024-08-26 Jason Pye , Edric Matwiejew , Aidan Smith , Manoj Kovalam , Jingbo B. Wang , Linqing Wen

We consider the problem of maximizing the variance explained from a data matrix using orthogonal sparse principal components that have a support of fixed cardinality. While most existing methods focus on building principal components (PCs)…

Optimization and Control · Mathematics 2022-10-14 Dimitris Bertsimas , Driss Lahlou Kitane

Gravitational-wave detection strategies are based on a signal analysis technique known as matched filtering. Despite the success of matched filtering, due to its computational cost, there has been recent interest in developing deep…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Dwyer S. Deighan , Scott E. Field , Collin D. Capano , Gaurav Khanna

Main approaches for learning Bayesian networks can be classified as constraint-based, score-based or hybrid methods. Although high-dimensional consistency results are available for constraint-based methods like the PC algorithm, such…

Statistics Theory · Mathematics 2018-02-06 Preetam Nandy , Alain Hauser , Marloes H. Maathuis

Contrastive learning has gained widespread adoption for retrieval tasks due to its minimal requirement for manual annotations. However, popular training frameworks typically learn from binary (positive/negative) relevance, making them…

Information Retrieval · Computer Science 2025-04-29 Tianyu Zhu , Myong Chol Jung , Jesse Clark

Polynomial chaos expansions (PCE) are widely used for uncertainty quantification (UQ) tasks, particularly in the applied mathematics community. However, PCE has received comparatively less attention in the statistics literature, and fully…

Methodology · Statistics 2025-10-30 Kellin N. Rumsey , Devin Francom , Graham C. Gibson , J. Derek Tucker , Gabriel Huerta

We introduce an order-invariant reinforcement learning framework for black-box combinatorial optimization. Classical estimation-of-distribution algorithms (EDAs) often rely on learning explicit variable dependency graphs, which can be…

Machine Learning · Computer Science 2026-01-30 Olivier Goudet , Quentin Suire , Adrien Goëffon , Frédéric Saubion , Sylvain Lamprier

We present an improved subdominant-mode amplitude (SMA) test of general relativity (GR), which probes amplitude-level deviations in the higher-order modes of gravitational-wave (GW) signals from binary black hole mergers while keeping the…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Ish Gupta , Purnima Narayan , Lionel London , Shubhanshu Tiwari , Bangalore Sathyaprakash

Neural Architecture Search (NAS) has emerged as one of the effective methods to design the optimal neural network architecture automatically. Although neural architectures have achieved human-level performances in several tasks, few of them…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Caiyang Yu , Xianggen Liu , Yifan Wang , Yun Liu , Wentao Feng , Deng Xiong , Chenwei Tang , Jiancheng Lv

Water distribution system design is a challenging optimisation problem with a high number of search dimensions and constraints. In this way, Evolutionary Algorithms (EAs) have been widely applied to optimise WDS to minimise cost subject…

Neural and Evolutionary Computing · Computer Science 2019-09-12 Mehdi Neshat , Bradley Alexander , Angus Simpson

Classification accuracy provided by a machine learning model depends a lot on the feature set used in the learning process. Feature Selection (FS) is an important and challenging pre-processing technique which helps to identify only the…

Machine Learning · Computer Science 2020-09-01 Ritam Guha , Manosij Ghosh , Shyok Mutsuddi , Ram Sarkar , Seyedali Mirjalili

Neural Architecture Search (NAS) methods have been successfully applied to image tasks with excellent results. However, NAS methods are often complex and tend to converge to local minima as soon as generated architectures seem to yield good…

Machine Learning · Computer Science 2021-10-29 Vasco Lopes , Miguel Santos , Bruno Degardin , Luís A. Alexandre

We propose a new variational inference algorithm for learning in Gaussian Process State-Space Models (GPSSMs). Our algorithm enables learning of unstable and partially observable systems, where previous algorithms fail. Our main algorithmic…

Machine Learning · Computer Science 2020-06-11 Silvan Melchior , Sebastian Curi , Felix Berkenkamp , Andreas Krause

Genetic Algorithms (GAs) are known for their efficiency in solving combinatorial optimization problems, thanks to their ability to explore diverse solution spaces, handle various representations, exploit parallelism, preserve good…

Neural and Evolutionary Computing · Computer Science 2023-09-29 Majid Sohrabi , Amir M. Fathollahi-Fard , Vasilii A. Gromov

This paper presents a novel approach to Grover adaptive search (GAS) for a combinatorial optimization problem whose objective function involves spin variables. While the GAS algorithm with a conventional design of a quantum dictionary…

Quantum Physics · Physics 2025-09-10 Shintaro Fujiwara , Naoki Ishikawa

In this paper, we propose the Generalized Parametric Contrastive Learning (GPaCo/PaCo) which works well on both imbalanced and balanced data. Based on theoretical analysis, we observe that supervised contrastive loss tends to bias…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Jiequan Cui , Zhisheng Zhong , Zhuotao Tian , Shu Liu , Bei Yu , Jiaya Jia

We use a Bayesian approach to optimally solve problems in noisy binary search. We deal with two variants: 1. Each comparison can be erroneous with some probability $1 - p$. 2. At each stage $k$ comparisons can be performed in parallel and a…

Quantum Physics · Physics 2011-11-09 M. Ben-Or , Avinatan Hassidim

In recent past, a number of researchers have proposed genetic algorithm (GA) based strategies for finding optimal test order while minimizing the stub complexity during integration testing. Even though, metaheuristic algorithms have a wide…

Software Engineering · Computer Science 2014-10-20 Chayanika Sharma , Ritu Sibal