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Fitting simultaneously SPX and VIX smiles is known to be one of the most challenging problems in volatility modeling. A long-standing conjecture due to Julien Guyon is that it may not be possible to calibrate jointly these two quantities…

Mathematical Finance · Quantitative Finance 2020-01-08 Jim Gatheral , Paul Jusselin , Mathieu Rosenbaum

Affective behavior analysis plays an important role in human-computer interaction, customer marketing, health monitoring. ABAW Challenge and Aff-Wild2 dataset raise the new challenge for classifying basic emotions and regression…

Computer Vision and Pattern Recognition · Computer Science 2020-03-06 Nhu-Tai Do , Tram-Tran Nguyen-Quynh , Soo-Hyung Kim

Changes in market conditions present challenges for investors as they cause performance to deviate from the ranges predicted by long-term averages of means and covariances. The aim of conditional asset allocation strategies is to overcome…

General Finance · Quantitative Finance 2022-11-03 Reza Bradrania , Davood Pirayesh Neghab

While simulations have been utilized in diverse domains, such as urban growth modeling, market dynamics modeling, etc; some of these applications may require validations based upon some real-world observations modeled in the simulation, as…

Multiagent Systems · Computer Science 2019-08-12 Dongjun Kim , Tae-Sub Yun , Il-Chul Moon

Most computer algebra systems (CAS) support symbolic integration as core functionality. The majority of the integration packages use a combination of heuristic algebraic and rule-based (integration table) methods. In this paper, we present…

Symbolic Computation · Computer Science 2022-02-08 Shahriar Iravanian , Carl Julius Martensen , Alessandro Cheli , Shashi Gowda , Anand Jain , Yingbo Ma , Chris Rackauckas

The stochastic volatility inspired (SVI) model is widely used to fit the implied variance smile. Presently, most optimizer algorithms for the SVI model have a strong dependence on the input starting point. In this study, we develop an…

Mathematical Finance · Quantitative Finance 2023-01-20 Shuzhen Yang , Wenqing Zhang

We introduce a novel model for time-varying, asymmetric, tail-dependent copulas in high dimensions that incorporates both spectral dynamics and regularization. The dynamics of the dependence matrix' eigenvalues are modeled in a score-driven…

Econometrics · Economics 2026-01-21 Koos B. Gubbels , Andre Lucas

This study develops and analyzes a stochastic differential equation (SDE) model for the dynamics of hepatitis B virus (HBV) infection. While deterministic frameworks have yielded important insights into viral behavior, they cannot…

Dynamical Systems · Mathematics 2025-10-03 Abdallah Alsammani

Aspect-Based Sentiment Analysis (ABSA) aims to identify terms or multiword expressions (MWEs) on which sentiments are expressed and the sentiment polarities associated with them. The development of supervised models has been at the…

Computation and Language · Computer Science 2024-03-27 Gaurav Negi , Rajdeep Sarkar , Omnia Zayed , Paul Buitelaar

Generating safety-critical scenarios in high-fidelity simulations offers a promising and cost-effective approach for efficient testing of autonomous vehicles. Existing methods typically rely on manipulating a single vehicle's trajectory…

Machine Learning · Computer Science 2025-05-07 Jiawei Wang , Xintao Yan , Yao Mu , Haowei Sun , Zhong Cao , Henry X. Liu

It is well documented from various empirical studies that the volatility process of an asset price dynamics is stochastic. This phenomenon called for a new approach to describing the random evolution of volatility through time with…

Risk Management · Quantitative Finance 2022-05-03 Emmanuel Coffie

The Hull-White one factor model is used to price interest rate options. The parameters of the model are often calibrated to simple liquid instruments, in particular European swaptions. It is therefore very important to have very efficient…

Pricing of Securities · Quantitative Finance 2009-01-14 Marc Henrard

In randomized experiments, regression adjustment can improve the precision of average treatment effect (ATE) estimation using covariates without requiring a correctly specified outcome model. Although well studied in low-dimensional…

Statistics Theory · Mathematics 2026-04-28 Dogyoon Song

In [Precise Asymptotics for Robust Stochastic Volatility Models; Ann. Appl. Probab. 2021] we introduce a new methodology to analyze large classes of (classical and rough) stochastic volatility models, with special regard to short-time and…

Computational Finance · Quantitative Finance 2021-09-30 Peter K. Friz , Paul Gassiat , Paolo Pigato

Credit (CVA), Debit (DVA) and Funding Valuation Adjustments (FVA) are now familiar valuation adjustments made to the value of a portfolio of derivatives to account for credit risks and funding costs. However, recent changes in the…

Pricing of Securities · Quantitative Finance 2014-10-27 Andrew Green , Chris Kenyon

This paper provides an insight to the time-varying dynamics of the shape of the distribution of financial return series by proposing an exponential weighted moving average model that jointly estimates volatility, skewness and kurtosis over…

Risk Management · Quantitative Finance 2012-06-08 A. Gabrielsen , P. Zagaglia , A. Kirchner , Z. Liu

Facial expression recognition is a key task in human-computer interaction and affective computing. However, acquiring a large amount of labeled facial expression data is often costly. Therefore, it is particularly important to design a…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Zhongpeng Cai , Jun Yu , Wei Xu , Tianyu Liu , Jianqing Sun , Jiaen Liang

We implement a systematic asset allocation model using the Historical Simulation with Flexible Probabilities (HS-FP) framework developed by Meucci. The HS-FP framework is a flexible non-parametric estimation approach that considers future…

Portfolio Management · Quantitative Finance 2019-10-15 Ann Sebastian , Tim Gebbie

World models learn to predict future states of an environment, enabling planning and mental simulation. Current approaches default to Transformer-based predictors operating in learned latent spaces. This comes at a cost: O(N^2) computation…

Machine Learning · Computer Science 2026-03-24 Fabien Polly

We study the existence and uniqueness of rank-based interacting systems of stochastic differential equations. These systems can be seen as modifications with state-dependent coefficients of the Atlas model in mathematical finance. The…

Probability · Mathematics 2026-01-13 Hélène Guérin , Nathalie Krell