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Model discovery based on existing data has been one of the major focuses of mathematical modelers for decades. Despite tremendous achievements of model identification from adequate data, how to unravel the models from limited data is less…

Numerical Analysis · Mathematics 2020-09-25 Jia Zhao , Jarrod Mau

Recent advances in quantum computing (QC) and machine learning (ML) have drawn significant attention to the development of quantum machine learning (QML). Reinforcement learning (RL) is one of the ML paradigms which can be used to solve…

Quantum Physics · Physics 2022-10-27 Samuel Yen-Chi Chen

Psychometric assessment instruments aid clinicians by providing methods of assessing the future risk of adverse events such as aggression. Existing machine learning approaches have treated this as a classification problem, predicting the…

Machine Learning · Computer Science 2023-12-05 Aidan Quinn , Melanie Simmons , Benjamin Spivak , Christoph Bergmeir

Quantile regression (QR) can be used to describe the comprehensive relationship between a response and predictors. Prior domain knowledge and assumptions in application are usually formulated as constraints of parameters to improve the…

Computation · Statistics 2023-05-15 Yongxin Liu , Peng Zeng

This paper introduces a novel and scalable framework for uncertainty estimation and separation with applications in data driven modeling in science and engineering tasks where reliable uncertainty quantification is critical. Leveraging an…

Machine Learning · Computer Science 2024-12-19 Navid Ansari , Hans-Peter Seidel , Vahid Babaei

The capabilities of recurrent neural networks and Koopman-based frameworks are assessed in the prediction of temporal dynamics of the low-order model of near-wall turbulence by Moehlis et al. (New J. Phys. 6, 56, 2004). Our results show…

Multi-Agent Reinforcement Learning (MARL) is useful in many problems that require the cooperation and coordination of multiple agents. Learning optimal policies using reinforcement learning in a multi-agent setting can be very difficult as…

Machine Learning · Computer Science 2022-05-31 Rafael Pina , Varuna De Silva , Joosep Hook , Ahmet Kondoz

Deep learning has enjoyed tremendous success in a variety of applications but its application to quantile regressions remains scarce. A major advantage of the deep learning approach is its flexibility to model complex data in a more…

Statistics Theory · Mathematics 2021-06-14 Qixian Zhong , Jane-Ling Wang

This paper proposes dynamic Bayesian regression quantile synthesis (DRQS), a novel method for quantile forecasting within the Bayesian predictive synthesis (BPS) framework designed to combine quantile-specific information from multiple…

Methodology · Statistics 2026-03-13 Genya Kobayashi , Shonosuke Sugasawa , Yuta Yamauchi , Dongu Han

While the Vector Autoregression (VAR) model has received extensive attention for modelling complex time series, quantile VAR analysis remains relatively underexplored for high-dimensional time series data. To address this disparity, we…

Methodology · Statistics 2024-04-30 Wenyang Liu , Ganggang Xu , Jianqing Fan , Xuening Zhu

China has made great achievements in electric power industry during the long-term deepening of reform and opening up. However, the complex regional economic, social and natural conditions, electricity resources are not evenly distributed,…

Machine Learning · Statistics 2021-03-02 Xingcai Zhou , Jiangyan Wang

The Weibull distribution is a commonly adopted choice for modeling the survival of systems subject to maintenance over time. When only proxy indicators and censored observations are available, it becomes necessary to express the…

Machine Learning · Statistics 2025-12-11 Gabrielle Rives , Olivier Lopez , Nicolas Bousquet

We propose a method for learning temporal data using a parametrized quantum circuit. We use the circuit that has a similar structure as the recurrent neural network which is one of the standard approaches employed for this type of machine…

Quantum Physics · Physics 2021-05-19 Yuto Takaki , Kosuke Mitarai , Makoto Negoro , Keisuke Fujii , Masahiro Kitagawa

This paper deals with improvement of linear quantile regression, when there are a few distinct values of the covariates but many replicates. On can improve asymptotic efficiency of the estimated regression coefficients by using suitable…

Applications · Statistics 2020-11-30 Kaushik Jana , Debasis Sengupta

This paper illustrates two algorithms designed in Forneron & Ng (2020): the resampled Newton-Raphson (rNR) and resampled quasi-Newton (rqN) algorithms which speed-up estimation and bootstrap inference for structural models. An empirical…

Econometrics · Economics 2021-02-23 Jean-Jacques Forneron , Serena Ng

We address the problem of how to achieve optimal inference in distributed quantile regression without stringent scaling conditions. This is challenging due to the non-smooth nature of the quantile regression (QR) loss function, which…

Methodology · Statistics 2022-08-24 Kean Ming Tan , Heather Battey , Wen-Xin Zhou

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

Encoder-decoder deep neural networks have been increasingly studied for multi-horizon time series forecasting, especially in real-world applications. However, to forecast accurately, these sophisticated models typically rely on a large…

Time series modeling has entered an era of unprecedented growth in the size and complexity of data which require new modeling approaches. While many new general purpose machine learning approaches have emerged, they remain poorly understand…

Machine Learning · Statistics 2020-11-02 Matthew F Dixon

Deep Reinforcement Learning has yielded proficient controllers for complex tasks. However, these controllers have limited memory and rely on being able to perceive the complete game screen at each decision point. To address these…

Machine Learning · Computer Science 2017-01-13 Matthew Hausknecht , Peter Stone