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In this paper, we introduce a new approach to multivariate forecasting cryptocurrency prices using a hybrid contextual model combining exponential smoothing (ES) and recurrent neural network (RNN). The model consists of two tracks: the…

Machine Learning · Computer Science 2025-04-15 Slawek Smyl , Grzegorz Dudek , Paweł Pełka

An improved real-time quantum Monte Carlo procedure is presented and applied to describe the electronic transfer dynamics along molecular chains. The model consists of discrete electronic sites coupled to a thermal environment which is…

Chemical Physics · Physics 2009-11-10 L. Muehlbacher , J. Ankerhold , C. Escher

This work deals with an optimal asset allocation problem for a defined contribution (DC) pension plan during its accumulation phase. The contribution rate is proportional to the individual's salary, the dynamics of which follows a Heston…

Optimization and Control · Mathematics 2021-03-04 Xiaoyi Zhang , Linlin Tian

Cryptocurrencies have gained significant attention in recent years due to their decentralized nature and potential for financial innovation. Thus, the ability to accurately predict its price has become a subject of great interest for…

Machine Learning · Computer Science 2024-10-21 Arthur Emanuel de Oliveira Carosia

In this article we look at stochastic processes with uncertain parameters, and consider different ways in which information is obtained when carrying out observations. For example we focus on the case of a the random evolution of a traded…

Mathematical Finance · Quantitative Finance 2024-07-08 Will Hicks

In this paper we apply neural networks and Artificial Intelligence (AI) to historical records of high-risk cryptocurrency coins to train a prediction model that guesses their price. This paper's code contains Jupyter notebooks, one of which…

Machine Learning · Computer Science 2022-03-01 Jacques Fleischer , Gregor von Laszewski , Carlos Theran , Yohn Jairo Parra Bautista

Simulating samples from arbitrary probability distributions is a major research program of statistical computing. Recent work has shown promise in an old idea, that sampling from a discrete distribution can be accomplished by perturbing and…

Computation · Statistics 2016-04-13 Chris J. Maddison

We introduce a new diffusion process Xt to describe asset prices within an economic bubble cycle. The main feature of the process, which differs from existing models, is the drift term where a mean-reversion is taken based on an exponential…

Mathematical Finance · Quantitative Finance 2018-03-23 Angelos Dassios , Luting Li

This topical review describes the methodology of continuum variational and diffusion quantum Monte Carlo calculations. These stochastic methods are based on many-body wave functions and are capable of achieving very high accuracy. The…

Materials Science · Physics 2010-02-11 R. J. Needs , M. D. Towler , N. D. Drummond , P. Lopez Rios

The aim of this paper is to investigate the effect of a novel method called linear law-based feature space transformation (LLT) on the accuracy of intraday price movement prediction of cryptocurrencies. To do this, the 1-minute interval…

Statistical Finance · Quantitative Finance 2023-05-09 Marcell T. Kurbucz , Péter Pósfay , Antal Jakovác

Using a suitable change of probability measure, we obtain a novel Poisson series representation for the arbitrage- free price process of vulnerable contingent claims in a regime-switching market driven by an underlying continuous- time…

Computational Finance · Quantitative Finance 2017-01-09 Agostino Capponi , Jose Figueroa-Lopez , Jeffrey Nisen

We present an overview of the variational and diffusion quantum Monte Carlo methods as implemented in the CASINO program. We particularly focus on developments made in the last decade, describing state-of-the-art quantum Monte Carlo…

Computational Physics · Physics 2025-12-24 R. J. Needs , M. D. Towler , N. D. Drummond , P. Lopez Rios , J. R. Trail

This paper will propose a novel machine learning based portfolio management method in the context of the cryptocurrency market. Previous researchers mainly focus on the prediction of the movement for specific cryptocurrency such as the…

Machine Learning · Computer Science 2025-12-10 Zijiang Yang

We simulate a simplified version of the price process including bubbles and crashes proposed in Kreuser and Sornette (2018). The price process is defined as a geometric random walk combined with jumps modelled by separate, discrete…

Econometrics · Economics 2020-04-21 Jan-Christian Gerlach , Jerome Kreuser , Didier Sornette

This article reviews the basic computational techniques for carrying out multi-scale simulations using statistical methods, with the focus on simulations of epitaxial growth. First, the statistical-physics background behind Monte Carlo…

Materials Science · Physics 2009-04-17 Peter Kratzer

This paper is concerned with portfolio selection for an investor with exponential, power, and logarithmic utility in multi-asset financial markets allowing jumps. We investigate the classical Merton's portfolio optimization problem in a…

Optimization and Control · Mathematics 2026-05-04 Sigui Brice Dro , Emmanuel Gnabeyeu

We address the problem of parameter estimation for diffusion driven stochastic volatility models through Markov chain Monte Carlo (MCMC). To avoid degeneracy issues we introduce an innovative reparametrisation defined through…

Methodology · Statistics 2008-12-02 Konstantinos Kalogeropoulos , Gareth O. Roberts , Petros Dellaportas

There has been much interest in accurate cryptocurrency price forecast models by investors and researchers. Deep Learning models are prominent machine learning techniques that have transformed various fields and have shown potential for…

Machine Learning · Computer Science 2024-06-04 Jingyang Wu , Xinyi Zhang , Fangyixuan Huang , Haochen Zhou , Rohtiash Chandra

Time series forecasting is a key tool in financial markets, helping to predict asset prices and guide investment decisions. In highly volatile markets, such as cryptocurrencies like Bitcoin (BTC) and Ethereum (ETH), forecasting becomes more…

Trading and Market Microstructure · Quantitative Finance 2026-02-17 Mabsur Fatin Bin Hossain , Lubna Zahan Lamia , Md Mahmudur Rahman , Md Mosaddek Khan

We explore credit risk pricing by modeling equity as a call option and debt as the difference between the firm's asset value and a put option, following the structural framework of the Merton model. Our approach proceeds in two stages:…

Risk Management · Quantitative Finance 2025-06-17 Jagdish Gnawali , Abootaleb Shirvani , Svetlozar T. Rachev