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The generalization capacity of various machine learning models exhibits different phenomena in the under- and over-parameterized regimes. In this paper, we focus on regression models such as feature regression and kernel regression and…

Machine Learning · Computer Science 2022-03-14 Björn Engquist , Kui Ren , Yunan Yang

A novel forecast combination and weighted quantile based tail-risk forecasting framework is proposed, aiming to reduce the impact of modelling uncertainty in tail-risk forecasting. The proposed approach is based on a two-step estimation…

Risk Management · Quantitative Finance 2021-07-20 Giuseppe Storti , Chao Wang

Financial market prediction and optimal trading strategy development remain challenging due to market complexity and volatility. Our research in quantum finance and reinforcement learning for decision-making demonstrates the approach of…

Quantum Physics · Physics 2025-01-24 Siddhant Dutta , Nouhaila Innan , Alberto Marchisio , Sadok Ben Yahia , Muhammad Shafique

We introduce weighted finite finance automata (WFFA), a formal framework for modeling and analyzing quantitative properties of financial systems driven by uncertain economic variables such as stock prices, interest rates, and exchange…

Formal Languages and Automata Theory · Computer Science 2026-04-21 Manfred Droste , Vitaly Nürnberg

In March 2020, the world was thrown into financial distress. This manifested itself in increased uncertainty in the financial markets. Many interest rates collapsed, and funding spreads surged significantly, which increased due to the…

Computational Finance · Quantitative Finance 2022-06-30 T. van der Zwaard , L. A. Grzelak , C. W. Oosterlee

Uncertainty is prevalent in engineering design, data-driven problems, and decision making broadly. Due to inherent risk-averseness and ambiguity about assumptions, it is common to address uncertainty by formulating and solving conservative…

Optimization and Control · Mathematics 2024-04-05 Johannes O. Royset

This paper presents weighted stochastic Riccati (WSR) equations for designing multiple types of optimal controllers for linear stochastic systems. The stochastic system matrices are independent and identically distributed (i.i.d.) to…

Optimization and Control · Mathematics 2023-08-07 Yuji Ito , Kenji Fujimoto , Yukihiro Tadokoro

In the framework of stochastic portfolio theory we introduce rank volatility stabilized models for large equity markets over long time horizons. These models are rank-based extensions of the volatility stabilized models introduced by…

Mathematical Finance · Quantitative Finance 2024-03-08 David Itkin , Martin Larsson

Risk aggregation is a popular method used to estimate the sum of a collection of financial assets or events, where each asset or event is modelled as a random variable. Applications, in the financial services industry, include insurance,…

Artificial Intelligence · Computer Science 2015-06-04 Peng Lin

We introduce a new set of consistent measures of risks, in terms of the semi-invariants of pdf's, such that the centered moments and the cumulants of the portfolio distribution of returns that put more emphasis on the tail the…

Statistical Mechanics · Physics 2008-12-10 Y. Malevergne , D. Sornette

We introduce a general framework for measuring risk in the context of Markov control processes with risk maps on general Borel spaces that generalize known concepts of risk measures in mathematical finance, operations research and…

Optimization and Control · Mathematics 2014-01-27 Yun Shen , Wilhelm Stannat , Klaus Obermayer

Statistical approaches that successfully combine multiple datasets are more powerful, efficient, and scientifically informative than separate analyses. To address variation architectures correctly and comprehensively for high-dimensional…

Methodology · Statistics 2023-09-01 Jiuzhou Wang , Eric F. Lock

We address a fundamental problem that is systematically encountered when modeling complex systems: the limitedness of the information available. In the case of economic and financial networks, privacy issues severely limit the information…

Physics and Society · Physics 2015-12-07 Giulio Cimini , Tiziano Squartini , Diego Garlaschelli , Andrea Gabrielli

We introduce a new approach for prudent risk evaluation based on stochastic dominance, which will be called the model aggregation (MA) approach. In contrast to the classic worst-case risk (WR) approach, the MA approach produces not only a…

Risk Management · Quantitative Finance 2024-06-11 Tiantian Mao , Ruodu Wang , Qinyu Wu

Portfolio construction traditionally relies on separately estimating expected returns and covariance matrices using historical statistics, often leading to suboptimal allocation under time-varying market conditions. This paper proposes a…

Portfolio Management · Quantitative Finance 2026-03-23 Keonvin Park

This study develops and evaluates a deep reinforcement learning framework for dynamic portfolio allocation across global equity markets. The Soft Actor-Critic algorithm is used to learn continuous portfolio weights within a Markov Decision…

Portfolio Management · Quantitative Finance 2026-05-19 Kamil Kashif , Robert Ślepaczuk

Several studies have focused on the Realized Range Volatility, an estimator of the quadratic variation of financial prices, taking into account the impact of microstructure noise and jumps. However, none has considered direct modeling and…

Applications · Statistics 2014-10-28 Giovanni Bonaccolto , Massimiliano Caporin

Many applications of generalised linear models (GLMs) can be improved by applying constraints that impose assumptions on the associations or improve consistency of the estimators. Yet, there are still barriers to the implementation and…

Methodology · Statistics 2026-02-19 Pierre Masselot , Devon Nenon , Jacopo Vanoli , Zaid Chalabi , Antonio Gasparrini

This paper motivates and develops a novel and focused approach to variable selection in linear regression models. For estimating the regression mean $\mu=\E\,(Y\midd x_0)$, for the covariate vector of a given individual, there is a list of…

Methodology · Statistics 2026-02-19 Nils Lid Hjort

Many applied settings in empirical economics involve simultaneous estimation of a large number of parameters. In particular, applied economists are often interested in estimating the effects of many-valued treatments (like teacher effects…

Machine Learning · Statistics 2017-04-03 Alberto Abadie , Maximilian Kasy