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Quantum classification and hypothesis testing are two tightly related subjects, the main difference being that the former is data driven: how to assign to quantum states $\rho(x)$ the corresponding class $c$ (or hypothesis) is learnt from…

Quantum Physics · Physics 2021-11-30 Leonardo Banchi , Jason Pereira , Stefano Pirandola

The basic idea of quantum computing is surprisingly similar to that of kernel methods in machine learning, namely to efficiently perform computations in an intractably large Hilbert space. In this paper we explore some theoretical…

Quantum Physics · Physics 2019-02-06 Maria Schuld , Nathan Killoran

Quantum computing promises a disruptive impact on machine learning algorithms, taking advantage of the exponentially large Hilbert space available. However, it is not clear how to scale quantum machine learning (QML) to industrial-level…

Understanding generalization in deep neural networks is an active area of research. A promising avenue of exploration has been that of margin measurements: the shortest distance to the decision boundary for a given sample or its…

Machine Learning · Computer Science 2023-08-30 Coenraad Mouton , Marthinus W. Theunissen , Marelie H. Davel

Data imputation, the process of filling in missing feature elements for incomplete data sets, plays a crucial role in data-driven learning. A fundamental belief is that data imputation is helpful for learning performance, and it follows…

Machine Learning · Computer Science 2025-09-30 Ruikai Yang , Fan He , Mingzhen He , Kaijie Wang , Xiaolin Huang

Characterizing the ground state properties of quantum systems is fundamental to capturing their behavior but computationally challenging. Recent advances in AI have introduced novel approaches, with diverse machine learning (ML) and deep…

Machine Learning · Computer Science 2025-05-21 Yusheng Zhao , Chi Zhang , Yuxuan Du

We propose a quantum feature mapping technique that leverages the quench dynamics of a quantum spin glass to extract complex data patterns at the quantum-advantage level for academic and industrial applications. We demonstrate that encoding…

Quantum machine learning (QML) requires significant quantum resources to address practical real-world problems. When the underlying quantum information exhibits hierarchical structures in the data, limitations persist in training complexity…

Quantum Physics · Physics 2026-03-24 Quoc Hoan Tran , Yasuhiro Endo , Hirotaka Oshima

Leveraging the intrinsic probabilistic nature of quantum systems, generative quantum machine learning (QML) offers the potential to outperform classical learning models. Current generative QML algorithms mostly rely on general-purpose…

Quantum Physics · Physics 2025-05-06 Bence Bakó , Dániel T. R. Nagy , Péter Hága , Zsófia Kallus , Zoltán Zimborás

In recent years, quantum machine learning (QML) has been actively used for various tasks, e.g., classification, reinforcement learning, and adversarial learning. However, these QML studies are unable to carry out complex tasks due to…

Quantum Physics · Physics 2022-11-15 Won Joon Yun , Hankyul Baek , Joongheon Kim

Representation learning has been widely studied in the context of meta-learning, enabling rapid learning of new tasks through shared representations. Recent works such as MAML have explored using fine-tuning-based metrics, which measure the…

Machine Learning · Computer Science 2021-05-06 Kurtland Chua , Qi Lei , Jason D. Lee

Deep learning has seen substantial achievements, with numerical and theoretical evidence suggesting that singularities of statistical models are considered a contributing factor to its performance. From this remarkable success of classical…

Quantum Physics · Physics 2024-11-26 Hiroshi Yano , Yota Maeda , Naoki Yamamoto

Quantum machine learning witnesses an increasing amount of quantum algorithms for data-driven decision making, a problem with potential applications ranging from automated image recognition to medical diagnosis. Many of those algorithms are…

Quantum Physics · Physics 2017-04-10 Maria Schuld , Francesco Petruccione

Quantum Machine Learning (QML) has come into the limelight due to the exceptional computational abilities of quantum computers. With the promises of near error-free quantum computers in the not-so-distant future, it is important that the…

Quantum Physics · Physics 2024-02-26 Jishnu Mahmud , Raisa Mashtura , Shaikh Anowarul Fattah , Mohammad Saquib

Deep learning has enjoyed tremendous success in a variety of applications but its application to quantile regressions remains scarce. A major advantage of the deep learning approach is its flexibility to model complex data in a more…

Statistics Theory · Mathematics 2021-06-14 Qixian Zhong , Jane-Ling Wang

Many of the tools available for robot learning were designed for Euclidean data. However, many applications in robotics involve manifold-valued data. A common example is orientation; this can be represented as a 3-by-3 rotation matrix or a…

Robotics · Computer Science 2024-05-15 P. C. Lopez-Custodio , K. Bharath , A. Kucukyilmaz , S. P. Preston

In this paper we investigate the connection between quantum information theory and machine learning. In particular, we show how quantum state discrimination can represent a useful tool to address the standard classification problem in…

Machine learning (ML) may improve and automate quality control (QC) in injection moulding manufacturing. As the labelling of extensive, real-world process data is costly, however, the use of simulated process data may offer a first step…

Machine Learning · Computer Science 2022-07-01 Steven Michiels , Cédric De Schryver , Lynn Houthuys , Frederik Vogeler , Frederik Desplentere

Quantum information technologies, and intelligent learning systems, are both emergent technologies that will likely have a transforming impact on our society. The respective underlying fields of research -- quantum information (QI) versus…

Quantum Physics · Physics 2017-09-11 Vedran Dunjko , Hans J. Briegel

Quantum Machine Learning (QML) aims to leverage the principles of quantum mechanics to speed up the process of solving machine learning problems or improve the quality of solutions. Among these principles, entanglement with an auxiliary…

Quantum Physics · Physics 2025-09-15 Alexander Mandl , Johanna Barzen , Marvin Bechtold , Frank Leymann , Lavinia Stiliadou