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Using a time series model to mimic an observed time series has a long history. However, with regard to this objective, conventional estimation methods for discrete-time dynamical models are frequently found to be wanting. In fact, they are…

统计理论 · 数学 2015-03-19 Yingcun Xia , Howell Tong

Machine learning (ML) methods are becoming increasingly important in the design economic scenario generators for internal models. Validation of data-driven models differs from classical theory-based models. We discuss two novel aspects of…

风险管理 · 定量金融 2024-12-12 Gero Junike , Solveig Flaig , Ralf Werner

Complex statistical models such as scalar-on-image regression often require strong assumptions to overcome the issue of non-identifiability. While in theory it is well understood that model assumptions can strongly influence the results,…

统计方法学 · 统计学 2020-05-04 Clara Happ , Sonja Greven , Volker J. Schmid

Logistic regression models are a popular and effective method to predict the probability of categorical response data. However inference for these models can become computationally prohibitive for large datasets. Here we adapt ideas from…

统计方法学 · 统计学 2020-08-25 Tom Whitaker , Boris Beranger , Scott A. Sisson

The value-at-risk of a delta-gamma approximated derivatives portfolio can be computed by numerical integration of the characteristic function. However, while the choice of parameters in any numerical integration scheme is paramount, in…

应用统计 · 统计学 2014-02-27 Johannes Vitalis Siven , Jeffrey Todd Lins , Anna Szymkowiak-Have

Reinforcement learning systems are often concerned with balancing exploration of untested actions against exploitation of actions that are known to be good. The benefit of exploration can be estimated using the classical notion of Value of…

人工智能 · 计算机科学 2013-01-30 Richard Dearden , Nir Friedman , David Andre

Well-calibrated probabilistic regression models are a crucial learning component in robotics applications as datasets grow rapidly and tasks become more complex. Unfortunately, classical regression models are usually either probabilistic…

机器学习 · 计算机科学 2023-09-12 Hany Abdulsamad , Peter Nickl , Pascal Klink , Jan Peters

We propose a novel symbolic modeling framework for decision-making under risk that merges interpretability with the core insights of Prospect Theory. Our approach replaces opaque utility curves and probability weighting functions with…

人工智能 · 计算机科学 2025-04-22 Ali Arslan Yousaf , Umair Rehman , Muhammad Umair Danish

Structural Causal Models (SCMs) offer a principled framework to reason about interventions and support out-of-distribution generalization, which are key goals in scientific discovery. However, the task of learning SCMs from observed data…

机器学习 · 计算机科学 2026-04-06 Divyat Mahajan , Jannes Gladrow , Agrin Hilmkil , Cheng Zhang , Meyer Scetbon

A new model for stocks markets using integer values for each stock price is presented. In contrast with previously reported models, the variables used in the model are not of binary type, but of more general integer type. It is shown how…

凝聚态物理 · 物理学 2007-05-23 Juan R. Sanchez

In this paper, we present a visual analytics tool for enabling hypothesis-based evaluation of machine learning (ML) models. We describe a novel ML-testing framework that combines the traditional statistical hypothesis testing (commonly used…

人机交互 · 计算机科学 2020-08-28 Qianwen Wang , William Alexander , Jack Pegg , Huamin Qu , Min Chen

While the original Ait-Sahalia interest rate model has been found considerable use as a model for describing time series evolution of interest rates, it may not possess adequate specifications to explain responses of interest rates to…

风险管理 · 定量金融 2021-07-29 Emmanuel Coffie

Within the context of traditional life insurance, a model-independent relationship about how the market value of assets is attributed to the best estimate, the value of in-force business and tax is established. This relationship holds true…

风险管理 · 定量金融 2019-11-14 Simon Hochgerner , Florian Gach

The paper concerns primal and dual representations as well as time consistency of set-valued dynamic risk measures. Set-valued risk measures appear naturally when markets with transaction costs are considered and capital requirements can be…

风险管理 · 定量金融 2014-05-22 Zachary Feinstein , Birgit Rudloff

This paper proposes a semiparametric stochastic volatility (SV) model that relaxes the restrictive Gaussian assumption in both the return and volatility error terms, allowing them to follow flexible, nonparametric distributions with…

统计计算 · 统计学 2025-06-03 Yudong Feng , Ashis Gangopadhyay

Familiarity with a simulation platform can seduce modellers into accepting untested assumptions for convenience of implementation. These assumptions may have consequences greater than commonly suspected, and it is important that modellers…

定量方法 · 定量生物学 2014-02-28 Jerome K Vanclay

In the financial field, precise risk assessment tools are essential for decision-making. Recent studies have challenged the notion that traditional network loss functions like Mean Square Error (MSE) are adequate, especially under extreme…

机器学习 · 计算机科学 2024-11-06 Jinghan Zhang , Henry Xie , Xinhao Zhang , Kunpeng Liu

We develop a partial Hamiltonian framework to obtain reductions and closed-form solutions via first integrals of current value Hamiltonian systems of ordinary differential equations (ODEs). The approach is algorithmic and applies to many…

最优化与控制 · 数学 2014-08-20 R. Naz , F. M. Mahomed , Azam Chaudhry

Neural estimators are simulation-based estimators for the parameters of a family of statistical models, which build a direct mapping from the sample to the parameter vector. They benefit from the versatility of available network…

机器学习 · 统计学 2025-06-24 Almut Rödder , Manuel Hentschel , Sebastian Engelke

Spatial data is a rich source of information for actuarial applications: knowledge of a risk's location could improve an insurance company's ratemaking, reserving or risk management processes. Insurance companies with high exposures in a…

应用统计 · 统计学 2024-08-22 Christopher Blier-Wong , Hélène Cossette , Luc Lamontagne , Etienne Marceau