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Fourier pricing methods such as the Carr-Madan formula or the COS method are classic tools for pricing European options for advanced models such as the Heston model. These methods require tuning parameters such as a damping factor, a…

Mathematical Finance · Quantitative Finance 2024-12-09 Gero Junike , Hauke Stier

Understanding the theoretical capabilities and limitations of quantum machine learning (QML) models to solve machine learning tasks is crucial to advancing both quantum software and hardware developments. Similarly to the classical setting,…

Quantum Physics · Physics 2026-03-31 Qiuhao Chen , Yuling Jiao , Yinan Li , Xiliang Lu , Jerry Zhijian Yang

Selecting the optimal combination of a machine learning (ML) algorithm and its hyper-parameters is crucial for the development of high-performance ML systems. However, since the combination of ML algorithms and hyper-parameters is enormous,…

Machine Learning · Computer Science 2025-02-14 Kazuki Ishikawa , Ryota Ozaki , Yohei Kanzaki , Ichiro Takeuchi , Masayuki Karasuyama

The reconstruction of charged particles will be a key computing challenge for the high-luminosity Large Hadron Collider (HL-LHC) where increased data rates lead to large increases in running time for current pattern recognition algorithms.…

Quantum Physics · Physics 2019-02-25 Frederic Bapst , Wahid Bhimji , Paolo Calafiura , Heather Gray , Wim Lavrijsen , Lucy Linder

The hyperparameter optimization of neural network can be expressed as a bilevel optimization problem. The bilevel optimization is used to automatically update the hyperparameter, and the gradient of the hyperparameter is the approximate…

Machine Learning · Computer Science 2022-12-14 Shuo Yang , Yang Jiao , Shaoyu Dou , Mana Zheng , Chen Zhu

The quantum approximate optimization algorithm (QAOA) is known for its capability and universality in solving combinatorial optimization problems on near-term quantum devices. The results yielded by QAOA depend strongly on its initial…

Quantum Physics · Physics 2022-09-29 Xinwei Lee , Ningyi Xie , Yoshiyuki Saito , Dongsheng Cai , Nobuyoshi Asai

In this submission we solve the Aircraft Loading Optimization problem of the Airbus Quantum Computing Challenge. Finding the optimal loading for a plane is a challenging task for classical algorithms, especially because the solution must…

Quantum Physics · Physics 2021-02-23 Giovanni Pilon , Nicola Gugole , Nicola Massarenti

We demonstrate how quantum computation can provide non-trivial improvements in the computational and statistical complexity of the perceptron model. We develop two quantum algorithms for perceptron learning. The first algorithm exploits…

Quantum Physics · Physics 2016-02-20 Nathan Wiebe , Ashish Kapoor , Krysta M Svore

Hyperparameters play a critical role in the performances of many machine learning methods. Determining their best settings or Hyperparameter Optimization (HPO) faces difficulties presented by the large number of hyperparameters as well as…

Machine Learning · Statistics 2020-07-21 Yang Yang , Ke Deng , Michael Zhu

Hyperparameter optimization (HPO) plays a central role in the performance of deep learning models, yet remains computationally expensive and difficult to interpret, particularly for time-series forecasting. While Bayesian Optimization (BO)…

Machine Learning · Computer Science 2026-02-17 Ons Saadallah , Mátyás andó , Tamás Gábor Orosz

Finding a Hadamard matrix of a specific order using a quantum computer can lead to a demonstration of practical quantum advantage. Earlier efforts using a quantum annealer were impeded by the limitations of the present quantum resource and…

Quantum Physics · Physics 2024-10-15 Andriyan Bayu Suksmono

A specialized algorithm for quadratic optimization (QO, or, formerly, QP) with disjoint linear constraints is presented. In the considered class of problems, a subset of variables are subject to linear equality constraints, while variables…

Optimization and Control · Mathematics 2019-09-12 Tijana Janjic , Yvonne Ruckstuhl , Philippe L. Toint

With the growing interest in quantum machine learning, the perceptron -- a fundamental building block in traditional machine learning -- has emerged as a valuable model for exploring quantum advantages. Two quantum perceptron algorithms…

Quantum Physics · Physics 2025-03-24 Xiaoyu Sun , Mathieu Roget , Giuseppe Di Molfetta , Hachem Kadri

When applying Machine Learning techniques to problems, one must select model parameters to ensure that the system converges but also does not become stuck at the objective function's local minimum. Tuning these parameters becomes a…

Machine Learning · Statistics 2017-11-16 Lawrence Stewart , Mark Stalzer

Classical optimization algorithms in machine learning often take a long time to compute when applied to a multi-dimensional problem and require a huge amount of CPU and GPU resource. Quantum parallelism has a potential to speed up machine…

Quantum Physics · Physics 2019-11-21 Venkat R. Dasari , Mee Seong Im , Lubjana Beshaj

Forecasting demand for assets and services can be addressed in various markets, providing a competitive advantage when the predictive models used demonstrate high accuracy. However, the training of machine learning models incurs high…

Optimization problems become fundamentally challenging as the number of variables increases. Because the volume of the search space grows exponentially, classical algorithms frequently fail to locate the global minimum of non-convex…

Quantum Physics · Physics 2026-04-23 Dominik Soós , Marc Paterno , John Stenger , Nikos Chrisochoides

Assessing whether a noisy quantum device can potentially exhibit quantum advantage is essential for selecting practical quantum utility tasks that are not efficiently verifiable by classical means. For optimization, a prominent candidate…

Quantum Physics · Physics 2026-01-27 Marine Demarty , Bo Yang , Kenza Hammam , Pauline Besserve

Quantum Machine Learning (QML) presents as a revolutionary approach to weather forecasting by using quantum computing to improve predictive modeling capabilities. In this study, we apply QML models, including Quantum Gated Recurrent Units…

Quantum Physics · Physics 2025-09-15 Saiyam Sakhuja , Shivanshu Siyanwal , Abhishek Tiwari , Britant , Savita Kashyap

Automated hyperparameter search in machine learning, especially for deep learning models, is typically formulated as a bilevel optimization problem, with hyperparameter values determined by the upper level and the model learning achieved by…

Machine Learning · Computer Science 2024-12-06 Meltem Apaydin Ustun , Liang Xu , Bo Zeng , Xiaoning Qian