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Probabilistic machine learning techniques can learn both complex relations between input features and output quantities of interest as well as take into account stochasticity or uncertainty within a data set. In this initial work, we…

核理论 · 物理学 2020-10-28 A. E. Lovell , A. T. Mohan , P. Talou

We demonstrate the application of mixture density networks (MDNs) in the context of automated radiation therapy treatment planning. It is shown that an MDN can produce good predictions of dose distributions as well as reflect uncertain…

医学物理 · 物理学 2021-07-06 Viktor Nilsson , Hanna Gruselius , Tianfang Zhang , Geert De Kerf , Michaël Claessens

In this paper we propose an efficient method to compute the price of multi-asset American options, based on Machine Learning, Monte Carlo simulations and variance reduction technique. Specifically, the options we consider are written on a…

计算金融 · 定量金融 2019-12-04 Ludovic Goudenège , Andrea Molent , Antonino Zanette

Mixture Density Networks (MDNs) can be used to generate probability density functions of model parameters $\boldsymbol{\theta}$ given a set of observables $\mathbf{x}$. In some applications, training data are available only for discrete…

数据分析、统计与概率 · 物理学 2021-08-18 Charles Burton , Spencer Stubbs , Peter Onyisi

We present a generative approach to price options and extract risk-neutral densities from the market. Specifically, we model the underlying log-returns on the time-to-maturity continuum as a generative model from standard normal. Neural…

数理金融 · 定量金融 2026-05-21 Zhonghao Xian , Xing Yan , Cheuk Hang Leung , Qi Wu

A framework to learn a multi-modal distribution is proposed, denoted as the Conditional Quantum Generative Adversarial Network (C-qGAN). The neural network structure is strictly within a quantum circuit and, as a consequence, is shown to…

量子物理 · 物理学 2023-10-20 Salvatore Certo , Anh Pham , Nicolas Robles , Andrew Vlasic

Data analytics helps basketball teams to create tactics. However, manual data collection and analytics are costly and ineffective. Therefore, we applied a deep bidirectional long short-term memory (BLSTM) and mixture density network (MDN)…

人工智能 · 计算机科学 2018-02-14 Yu Zhao , Rennong Yang , Guillaume Chevalier , Rajiv Shah , Rob Romijnders

We propose a deep Recurrent neural network (RNN) framework for computing prices and deltas of American options in high dimensions. Our proposed framework uses two deep RNNs, where one network learns the price and the other learns the delta…

数理金融 · 定量金融 2023-01-20 Andrew Na , Justin Wan

We develop a novel deep learning approach for pricing European basket options written on assets that follow jump-diffusion dynamics. The option pricing problem is formulated as a partial integro-differential equation, which is approximated…

计算金融 · 定量金融 2026-02-10 Emmanuil H. Georgoulis , Antonis Papapantoleon , Costas Smaragdakis

Neural networks offer a versatile, flexible and accurate approach to loss reserving. However, such applications have focused primarily on the (important) problem of fitting accurate central estimates of the outstanding claims. In practice,…

统计方法学 · 统计学 2022-08-09 Muhammed Taher Al-Mudafer , Benjamin Avanzi , Greg Taylor , Bernard Wong

While mixture density networks (MDNs) have been extensively used for regression tasks, they have not been used much for classification tasks. One reason for this is that the usability of MDNs for classification is not clear and…

机器学习 · 计算机科学 2024-02-09 Narendhar Gugulothu , Sanjay P. Bhat , Tejas Bodas

The use of machine learning to generate synthetic data has grown in popularity with the proliferation of text-to-image models and especially large language models. The core methodology these models use is to learn the distribution of the…

统计金融 · 定量金融 2023-11-28 Ruslan Tepelyan , Achintya Gopal

Many scientific and engineering systems exhibit intrinsically multimodal behavior arising from latent regime switching and non-unique physical mechanisms. In such settings, learning the full conditional distribution of admissible outcomes…

机器学习 · 计算机科学 2026-02-12 Jinkyo Han , Bahador Bahmani

Mixture Density Networks are a tried and tested tool for modelling conditional probability distributions. As such, they constitute a great baseline for novel approaches to this problem. In the standard formulation, an MDN takes some input…

机器学习 · 计算机科学 2020-03-13 Jakob Kruse

The growing importance of intraday electricity trading in Europe calls for improved price forecasting and tailored decision-support tools. In this paper, we propose a novel generative neural network model to generate probabilistic path…

应用统计 · 统计学 2025-06-03 Jieyu Chen , Sebastian Lerch , Melanie Schienle , Tomasz Serafin , Rafał Weron

While several methods for predicting uncertainty on deep networks have been recently proposed, they do not readily translate to large and complex datasets. In this paper we utilize a simplified form of the Mixture Density Networks (MDNs) to…

机器学习 · 计算机科学 2019-12-05 Nicholas Wilkins , Michael Johnson , Ifeoma Nwogu

A novel method for estimating Bayesian network (BN) parameters from data is presented which provides improved performance on test data. Previous research has shown the value of representing conditional probability distributions (CPDs) via…

机器学习 · 计算机科学 2013-01-14 Geoff A. Jarrad

Generative networks implicitly approximate complex densities from their sampling with impressive accuracy. However, because of the enormous scale of modern datasets, this training process is often computationally expensive. We cast…

机器学习 · 计算机科学 2020-03-03 Vincent Schellekens , Laurent Jacques

Maximum mean discrepancy (MMD) has been successfully applied to learn deep generative models for characterizing a joint distribution of variables via kernel mean embedding. In this paper, we present conditional generative moment- matching…

机器学习 · 计算机科学 2016-06-15 Yong Ren , Jialian Li , Yucen Luo , Jun Zhu

Finance, especially option pricing, is a promising industrial field that might benefit from quantum computing. While quantum algorithms for option pricing have been proposed, it is desired to devise more efficient implementations of costly…

量子物理 · 物理学 2026-04-10 Nozomu Kobayashi , Yoshiyuki Suimon , Koichi Miyamoto
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