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Ordinary stochastic neural networks mostly rely on the expected values of their weights to make predictions, whereas the induced noise is mostly used to capture the uncertainty, prevent overfitting and slightly boost the performance through…

机器学习 · 统计学 2019-02-19 Kirill Neklyudov , Dmitry Molchanov , Arsenii Ashukha , Dmitry Vetrov

Quantile regression is a technique to estimate conditional quantile curves. It provides a comprehensive picture of a response contingent on explanatory variables. In a flexible modeling framework, a specific form of the conditional quantile…

统计理论 · 数学 2012-08-31 Vladimir Spokoiny , Weining Wang , Wolfgang Karl Härdle

Based on law of large numbers and central limit theorem under nonlinear expectation, we introduce a new method of using G-normal distribution to measure financial risks. Applying max-mean estimators and small windows method, we establish…

数理金融 · 定量金融 2021-07-28 Shige Peng , Shuzhen Yang

This paper explores the application of Machine Learning techniques for pricing high-dimensional options within the framework of the Uncertain Volatility Model (UVM). The UVM is a robust framework that accounts for the inherent…

计算金融 · 定量金融 2025-06-06 Ludovic Goudenege , Andrea Molent , Antonino Zanette

Rapidly evolving market conditions call for real-time risk monitoring, but its online estimation remains challenging. In this paper, we study the online estimation of one of the most widely used risk measures, Value at Risk (VaR). Its…

机器学习 · 统计学 2026-02-03 Du-Yi Wang , Guo Liang , Kun Zhang , Qianwen Zhu

While a variety of methods offer good yield prediction on histogrammed remote sensing data, vision Transformers are only sparsely represented in the literature. The Convolution vision Transformer (CvT) is being tested to evaluate vision…

计算机视觉与模式识别 · 计算机科学 2024-02-09 Alvin Inderka , Florian Huber , Volker Steinhage

Artificial neural networks will always make a prediction, even when completely uncertain and regardless of the consequences. This obliviousness of uncertainty is a major obstacle towards their adoption in practice. Techniques exist,…

机器学习 · 计算机科学 2021-05-13 Hans Weytjens , Jochen De Weerdt

We propose a framework for conditional vector quantile regression (CVQR) that combines neural optimal transport with amortized optimization, and apply it to multivariate conformal prediction. Classical quantile regression does not extend…

Accurately modeling quantum dissipative dynamics remains challenging due to environmental complexity and non-Markovian memory effects. Although machine learning provides a promising alternative to conventional simulation techniques, most…

化学物理 · 物理学 2026-03-18 Muhammad Atif , Arif Ullah , Ming Yang

Quantile regression (QR) is a statistical tool for distribution-free estimation of conditional quantiles of a target variable given explanatory features. QR is limited by the assumption that the target distribution is univariate and defined…

Quantum computers promise improving machine learning. We investigated the performance of new quantum neural network designs. Quantum neural networks currently employed rely on a feature map to encode the input into a quantum state. This…

量子物理 · 物理学 2022-03-16 Felix Petitzon

Probabilistic forecasting, i.e. estimating the probability distribution of a time series' future given its past, is a key enabler for optimizing business processes. In retail businesses, for example, forecasting demand is crucial for having…

人工智能 · 计算机科学 2019-02-25 David Salinas , Valentin Flunkert , Jan Gasthaus

In this article, we present a novel approach to multivariate probabilistic forecasting. Our approach is based on an extension of single-output quantile regression (QR) to multivariate-targets, called quantile surfaces (QS). QS uses a simple…

应用统计 · 统计学 2020-10-13 Maarten Bieshaar , Jens Schreiber , Stephan Vogt , André Gensler , Bernhard Sick

While deep neural networks are highly performant and successful in a wide range of real-world problems, estimating their predictive uncertainty remains a challenging task. To address this challenge, we propose and implement a loss function…

机器学习 · 计算机科学 2022-10-14 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

Accurately estimating the remaining useful life (RUL) of industrial machinery is beneficial in many real-world applications. Estimation techniques have mainly utilized linear models or neural network based approaches with a focus on short…

机器学习 · 计算机科学 2018-12-11 Lahiru Jayasinghe , Tharaka Samarasinghe , Chau Yuen , Jenny Chen Ni Low , Shuzhi Sam Ge

Conventional predictive Artificial Neural Networks (ANNs) commonly employ deterministic weight matrices; therefore, their prediction is a point estimate. Such a deterministic nature in ANNs causes the limitations of using ANNs for medical…

机器学习 · 计算机科学 2020-07-02 Minhyeok Lee , Junhee Seok

We introduce a convolutional neural network that operates directly on graphs. These networks allow end-to-end learning of prediction pipelines whose inputs are graphs of arbitrary size and shape. The architecture we present generalizes…

We explore the efficacy of the novel use of parametrised quantum circuits (PQCs) as quantum neural networks (QNNs) for forecasting time series signals with simulated quantum forward propagation. The temporal signals consist of several…

量子物理 · 物理学 2022-02-02 Dimitrios Emmanoulopoulos , Sofija Dimoska

We present a probabilistic forecasting framework based on convolutional neural network for multiple related time series forecasting. The framework can be applied to estimate probability density under both parametric and non-parametric…

机器学习 · 统计学 2020-03-17 Yitian Chen , Yanfei Kang , Yixiong Chen , Zizhuo Wang

Artificial neural networks which are trained on a time series are supposed to achieve two abilities: firstly to predict the series many time steps ahead and secondly to learn the rule which has produced the series. It is shown that…

无序系统与神经网络 · 物理学 2009-11-07 Ansgar Freking , Wolfgang Kinzel , Ido Kanter