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Pricing a multi-asset derivative is an important problem in financial engineering, both theoretically and practically. Although it is suitable to numerically solve partial differential equations to calculate the prices of certain types of…

Quantum Physics · Physics 2022-07-05 Kenji Kubo , Koichi Miyamoto , Kosuke Mitarai , Keisuke Fujii

No matter the nature of the response and/or explanatory variables in a regression model, some basic issues such as the existence of an effect of the predictor on the response, or the assessment of a common shape across groups of…

Applications · Statistics 2020-09-01 María Alonso-Pena , Jose Ameijeiras-Alonso , Rosa M. Crujeiras

This paper introduces a kernel discrepancy-based framework for rerandomization to enhance the precision of causal inference in controlled experiments. We demonstrate that the kernel discrepancy is the key part of the variance upper bound…

Methodology · Statistics 2025-11-05 Yiou Li , Lulu Kang

As quantum computers become increasingly practical, so does the prospect of using quantum computation to improve upon traditional algorithms. Kernel methods in machine learning is one area where such improvements could be realized in the…

Quantum Physics · Physics 2023-05-30 Ara Ghukasyan , Jack S. Baker , Oktay Goktas , Juan Carrasquilla , Santosh Kumar Radha

We study hedging and pricing of unattainable contingent claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a…

Pricing of Securities · Quantitative Finance 2013-03-19 Łukasz Delong , Antoon Pelsser

Quantum algorithms based on quantum kernel methods have been investigated previously [1]. A quantum advantage is derived from the fact that it is possible to construct a family of datasets for which, only quantum processing can recognise…

Quantum Physics · Physics 2024-05-08 Sanjeev Naguleswaran

Existing approaches to asset-pricing under model-uncertainty adapt classical utility-maximization frameworks and seek theoretical comprehensiveness. We move toward practice by considering binary model-risks and by emphasizing 'constraints'…

Mathematical Finance · Quantitative Finance 2025-10-10 Ken Kangda Wren

As more and more users begin to use the cloud for their computing needs, datacenter operators are increasingly pressed to effectively allocate their resources among these client users. Yet while much work has been done in this area,…

Computers and Society · Computer Science 2012-12-11 Carlee Joe-Wong , Soumya Sen

Methodologies to infer financial networks from the price series of speculative assets vary, however, they generally involve bivariate or multivariate predictive modelling to reveal causal and correlational structures within the time series…

Physics and Society · Physics 2023-08-31 Cameron Cornell , Lewis Mitchell , Matthew Roughan

Multiple kernel learning (MKL) method is generally believed to perform better than single kernel method. However, some empirical studies show that this is not always true: the combination of multiple kernels may even yield an even worse…

Machine Learning · Statistics 2018-06-21 Zhao Kang , Xiao Lu , Jinfeng Yi , Zenglin Xu

Kernel $k$-means clustering is a powerful tool for unsupervised learning of non-linearly separable data. Since the earliest attempts, researchers have noted that such algorithms often become trapped by local minima arising from…

Machine Learning · Statistics 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

This whitepaper introduces an innovative mechanism for pricing perpetual contracts and quoting fees to traders based on current market conditions. The approach employs liquidity curves and on-chain oracles to establish a new adaptive…

Trading and Market Microstructure · Quantitative Finance 2023-09-01 Chester Bella , Danny Boahen , Sudeep Biswas

We develop a multi-curve term structure setup in which the modelling ingredients are expressed by rational functionals of Markov processes. We calibrate to LIBOR swaptions data and show that a rational two-factor lognormal multi-curve model…

Mathematical Finance · Quantitative Finance 2015-02-27 Stephane Crepey , Andrea Macrina , Tuyet Mai Nguyen , David Skovmand

Calibration is a highly challenging task, in particular in multiple yield curve markets. This paper is a first attempt to study the chances and challenges of the application of machine learning techniques for this. We employ Gaussian…

Pricing of Securities · Quantitative Finance 2020-04-20 Sandrine Gümbel , Thorsten Schmidt

This paper introduces a computational framework to identify nonlinear input-output operators that fit a set of system trajectories while satisfying incremental integral quadratic constraints. The data fitting algorithm is thus regularized…

Optimization and Control · Mathematics 2021-10-25 Henk J. van Waarde , Rodolphe Sepulchre

Complex statistical machine learning models are increasingly being used or considered for use in high-stakes decision-making pipelines in domains such as financial services, health care, criminal justice and human services. These models are…

Applications · Statistics 2017-07-04 Alexandra Chouldechova , Max G'Sell

Kernel methods are powerful machine learning techniques which implement generic non-linear functions to solve complex tasks in a simple way. They Have a solid mathematical background and exhibit excellent performance in practice. However,…

Machine Learning · Computer Science 2021-01-27 J. Emmanuel Johnson , Valero Laparra , Adrián Pérez-Suay , Miguel D. Mahecha , Gustau Camps-Valls

The existence of the pricing kernel is shown to imply the existence of an ambient information process that generates market filtration. This information process consists of a signal component concerning the value of the random variable X…

General Finance · Quantitative Finance 2011-03-17 Grzegorz Andruszkiewicz , Dorje C. Brody

This paper addresses a key challenge in CDO modeling: achieving a perfect fit to market prices across all tranches using a single, consistent model. The existence of such a perfect-fit model implies the absence of arbitrage among CDO…

Risk Management · Quantitative Finance 2026-02-10 Lan Bu , Ning Cai , Chenxi Xia , Jingping Yang

Quantum Machine Learning represents a paradigm shift at the intersection of Quantum Computing and Machine Learning, leveraging quantum phenomena such as superposition, entanglement, and quantum parallelism to address the limitations of…

Quantum Physics · Physics 2025-01-17 Sahil Tomar , Rajeshwar Tripathi , Sandeep Kumar
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