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We leverage multilevel Monte Carlo (MLMC) to improve the performance of multi-step look-ahead Bayesian optimization (BO) methods that involve nested expectations and maximizations. Often these expectations must be computed by Monte Carlo…

This study addresses the difficulties associated with inventory management of products with stochastic demand. The objective is to find the optimal combination of order quantity and reorder point that maximizes profit while considering…

计算工程、金融与科学 · 计算机科学 2023-10-05 Sarit Maitra , Vivek Mishra , Sukanya Kundu

We introduce a new regression framework, Gaussian process regression networks (GPRN), which combines the structural properties of Bayesian neural networks with the non-parametric flexibility of Gaussian processes. This model accommodates…

机器学习 · 统计学 2011-10-21 Andrew Gordon Wilson , David A. Knowles , Zoubin Ghahramani

In this work, we propose Natural Hypergradient Descent (NHGD), a new method for solving bilevel optimization problems. To address the computational bottleneck in hypergradient estimation--namely, the need to compute or approximate Hessian…

机器学习 · 计算机科学 2026-04-02 Deyi Kong , Zaiwei Chen , Shuzhong Zhang , Shancong Mou

The advantages of sequential Monte Carlo (SMC) are exploited to develop parameter estimation and model selection methods for GARCH (Generalized AutoRegressive Conditional Heteroskedasticity) style models. It provides an alternative method…

应用统计 · 统计学 2020-03-06 Dan Li , Adam Clements , Christopher Drovandi

We present an adaptive approach to the construction of Gaussian process surrogates for Bayesian inference with expensive-to-evaluate forward models. Our method relies on the fully Bayesian approach to training Gaussian process models and…

机器学习 · 统计学 2018-10-01 Timur Takhtaganov , Juliane Müller

This paper presents performance analysis of hybrid model comprise of concordance and Genetic Programming (GP) to forecast financial market with some existing models. This scheme can be used for in depth analysis of stock market. Different…

统计金融 · 定量金融 2013-05-16 Mahesh S. Khadka , K. M. George , N. Park , J. B. Kim

Bayesian inference often faces a trade-off between computational speed and sampling accuracy. We propose an adaptive workflow that integrates rapid amortized inference with gold-standard MCMC techniques to achieve a favorable combination of…

机器学习 · 计算机科学 2026-02-19 Chengkun Li , Aki Vehtari , Paul-Christian Bürkner , Stefan T. Radev , Luigi Acerbi , Marvin Schmitt

Electric utilities must make massive capital investments in the coming years to respond to explosive growth in demand, aging assets and rising threats from extreme weather. Utilities today already have rigorous frameworks for capital…

人工智能 · 计算机科学 2026-04-06 Emma Benjaminson

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

计量经济学 · 经济学 2020-06-12 Matteo Mogliani , Anna Simoni

Representation learning is a key technique in modern machine learning that enables models to identify meaningful patterns in complex data. However, different methods tend to extract distinct aspects of the data, and relying on a single…

机器学习 · 统计学 2025-09-30 Wenhui Li , Shijin Gong , Xinyu Zhang

Multi-model inference covers a wide range of modern statistical applications such as variable selection, model confidence set, model averaging and variable importance. The performance of multi-model inference depends on the availability of…

统计理论 · 数学 2019-06-07 Ching-Wei Cheng , Guang Cheng

This paper proposes a new method for hyperparameter optimization (HPO) that balances exploration and exploitation. While evolutionary algorithms (EAs) show promise in HPO, they often struggle with effective exploitation. To address this, we…

神经与进化计算 · 计算机科学 2025-04-11 Chul Kim , Inwhee Joe

Motivated by genome-wide association studies, we consider a standard linear model with one additional random effect in situations where many predictors have been collected on the same subjects and each predictor is analyzed separately.…

应用统计 · 统计学 2013-04-24 Matti Pirinen , Peter Donnelly , Chris C. A. Spencer

High-precision measurements require optimal setups and analysis tools to achieve continuous improvements. Systematic corrections need to be modeled with high accuracy and known uncertainty to reconstruct underlying physical phenomena. To…

数据分析、统计与概率 · 物理学 2022-05-31 Max Lamparth , Mattis Bestehorn , Bastian Märkisch

Gaussian random fields play an important role in many areas of science and engineering. In practice, they are often simulated by sampling from a high-dimensional multivariate normal distribution, which arises from the discretisation of a…

数值分析 · 数学 2026-02-12 Yoshihito Kazashi , Eike H. Müller , Robert Scheichl

The non-storability of electricity makes it unique among commodity assets, and it is an important driver of its price behaviour in secondary financial markets. The instantaneous and continuous matching of power supply with demand is a key…

风险管理 · 定量金融 2019-04-04 Daniel Poh , Stephen Roberts , Martin Tegnér

The paper studies the solution of stochastic optimization problems in which approximations to the gradient and Hessian are obtained through subsampling. We first consider Newton-like methods that employ these approximations and discuss how…

最优化与控制 · 数学 2016-09-28 Raghu Bollapragada , Richard Byrd , Jorge Nocedal

Due to the increasing demand for high performance and cost reduction within the framework of complex system design, numerical optimization of computationally costly problems is an increasingly popular topic in most engineering fields. In…

最优化与控制 · 数学 2018-06-12 Julien Pelamatti , Loïc Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

For many linear and nonlinear systems that arise from the discretization of partial differential equations the construction of an efficient multigrid solver is a challenging task. Here we present a novel approach for the optimization of…

数值分析 · 数学 2019-10-09 Jonas Schmitt , Sebastian Kuckuk , Harald Köstler