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The basis of arbitrage methods depends on the circulation of information within the framework of the financial market. Following the work of Modigliani and Miller, it has become a vital part of discussions related to the study of financial…

Statistical Finance · Quantitative Finance 2025-09-12 Kiran Sharma , Abhijit Dutta , Rupak Mukherjee

Valuation adjustments are nowadays a common practice to include credit and liquidity effects in option pricing. Funding costs arising from collateral procedures, hedging strategies and taxes are added to option prices to take into account…

Mathematical Finance · Quantitative Finance 2019-06-07 Stefania Gabrielli , Andrea Pallavicini , Stefano Scoleri

Linearizability has become the key correctness criterion for concurrent data structures, ensuring that histories of the concurrent object under consideration are consistent, where consistency is judged with respect to a sequential history…

Logic in Computer Science · Computer Science 2015-02-03 Brijesh Dongol , John Derrick

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage…

Mathematical Finance · Quantitative Finance 2016-09-12 Gianluca Cassese

Software developers and maintainers need to read and understand source programs and other software artifacts. The increase in size and complexity of software drastically affects several quality attributes, especially understandability and…

Software Engineering · Computer Science 2010-04-27 Mohd Nazir , Raees A. Khan , Khurram Mustafa

Reliability is an essential measure of how closely observed scores represent latent scores (reflecting constructs), assuming some latent variable measurement model. We present a general theoretical framework of reliability, placing emphasis…

Methodology · Statistics 2024-10-29 Yang Liu , Jolynn Pek , Alberto Maydeu-Olivares

We amend and extend the Chiarella model of financial markets to deal with arbitrary long-term value drifts in a consistent way. This allows us to improve upon existing calibration schemes, opening the possibility of calibrating individual…

Trading and Market Microstructure · Quantitative Finance 2026-02-11 Jutta G. Kurth , Adam A. Majewski , Jean-Philippe Bouchaud

A joint characterisation of the observability and controllability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

Discrete Mathematics · Computer Science 2010-06-23 Amparo Fúster-Sabater , J. M. Guillén

In this paper we use a hybrid Monte Carlo-Optimal quantization method to approximate the conditional survival probabilities of a firm, given a structural model for its credit defaul, under partial information. We consider the case when the…

Computational Finance · Quantitative Finance 2009-07-07 Giorgia Callegaro , Abass Sagna

A foundational approach is developed for a mathematical theory of managerial disclosure in relation to asset pricing; this involves both the earnings guidance disclosed by firm management and market `trackers' pricing the firm's exposure to…

Trading and Market Microstructure · Quantitative Finance 2020-02-13 M. Gietzmann , A. J. Ostaszewski , M. H. G. Schröder

Perturbation-based explanations are widely utilized to enhance the transparency of modern machine-learning models. However, their reliability is often compromised by the unknown model behavior under the specific perturbations used. This…

Machine Learning · Computer Science 2025-06-25 Thomas Decker , Volker Tresp , Florian Buettner

Machine learning applications often require calibrated predictions, e.g. a 90\% credible interval should contain the true outcome 90\% of the times. However, typical definitions of calibration only require this to hold on average, and offer…

Machine Learning · Statistics 2020-09-10 Shengjia Zhao , Tengyu Ma , Stefano Ermon

Quantum coherence -- an indispensable resource for quantum technologies -- is known to be distillable from a noisy form using operations that cannot create it. However, distillation exacts a hidden coherent measurement cost, which has not…

Quantum Physics · Physics 2025-04-16 Varun Narasimhachar

We present a neural network based calibration method that performs the calibration task within a few milliseconds for the full implied volatility surface. The framework is consistently applicable throughout a range of volatility models…

Mathematical Finance · Quantitative Finance 2019-08-26 Blanka Horvath , Aitor Muguruza , Mehdi Tomas

Quantifying the complexity of systems consisting of many interacting parts has been an important challenge in the field of complex systems in both abstract and applied contexts. One approach, the complexity profile, is a measure of the…

Pattern Formation and Solitons · Physics 2013-06-03 Yavni Bar-Yam , Dion Harmon , Yaneer Bar-Yam

Calibration is a basic property for prediction systems, and algorithms for achieving it are well-studied in both statistics and machine learning. In many applications, however, the predictions are used to make decisions that select which…

Computer Science and Game Theory · Computer Science 2012-11-19 H. Brendan McMahan , Omkar Muralidharan

There is a strong consensus that combining the versatility of machine learning with the assurances given by formal verification is highly desirable. It is much less clear what verified machine learning should mean exactly. We consider this…

Machine Learning · Computer Science 2021-02-15 Tonicha Crook , Jay Morgan , Arno Pauly , Markus Roggenbach

Many applications from the financial industry successfully leverage clustering algorithms to reveal meaningful patterns among a vast amount of unstructured financial data. However, these algorithms suffer from a lack of interpretability…

Applications · Statistics 2020-07-24 Enguerrand Horel , Kay Giesecke , Victor Storchan , Naren Chittar

Despite the importance of having a measure of confidence in recommendation results, it has been surprisingly overlooked in the literature compared to the accuracy of the recommendation. In this dissertation, I propose a model calibration…

Information Retrieval · Computer Science 2024-02-27 Wonbin Kweon

Calibration is a common experimental physics problem, whose goal is to infer the value and uncertainty of an unobservable quantity Z given a measured quantity X. Additionally, one would like to quantify the extent to which X and Z are…

High Energy Physics - Phenomenology · Physics 2023-09-26 Rikab Gambhir , Benjamin Nachman , Jesse Thaler
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