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We study maximum likelihood estimation (MLE) in the generalized group orbit recovery model, where each observation is generated by applying a random group action and a known, fixed linear operator to an unknown signal, followed by additive…

Statistics Theory · Mathematics 2025-09-30 Sheng Xu , Anderson Ye Zhang , Amit Singer

In particle physics the simulation of particle transport through detectors requires an enormous amount of computational resources, utilizing more than 50% of the resources of the CERN Worldwide Large Hadron Collider Grid. This challenge has…

High Energy Physics - Experiment · Physics 2021-03-26 Florian Rehm , Sofia Vallecorsa , Kerstin Borras , Dirk Krücker

Mixture of Experts (MoE) are successful models for modeling heterogeneous data in many statistical learning problems including regression, clustering and classification. Generally fitted by maximum likelihood estimation via the well-known…

Machine Learning · Statistics 2018-10-30 Faicel Chamroukhi , Bao-Tuyen Huynh

The research of innovative methods aimed at reducing costs and shortening the time needed for simulation, going beyond conventional approaches based on Monte Carlo methods, has been sparked by the development of collision simulations at the…

Machine Learning · Computer Science 2024-05-24 Karol Rogoziński , Jan Dubiński , Przemysław Rokita , Kamil Deja

Energy-based models (EBMs) offer a flexible framework for parameterizing probability distributions using neural networks. However, learning EBMs by exact maximum likelihood estimation (MLE) is generally intractable, due to the need to…

Machine Learning · Computer Science 2025-08-20 Michael E. Sander , Vincent Roulet , Tianlin Liu , Mathieu Blondel

This work describes a novel simulation approach that combines machine learning and device modelling simulations. The device simulations are based on the quantum mechanical non-equilibrium Greens function (NEGF) approach and the machine…

Computational Engineering, Finance, and Science · Computer Science 2023-09-19 Preslav Aleksandrov , Ali Rezaei , Nikolas Xeni , Tapas Dutta , Asen Asenov , Vihar Georgiev

A major line of contemporary research on complex networks is based on the development of statistical models that specify the local motifs associated with macro-structural properties observed in actual networks. This statistical approach…

Methodology · Statistics 2018-08-02 Maksym Byshkin , Alex Stivala , Antonietta Mira , Garry Robins , Alessandro Lomi

To achieve high performance of a machine learning (ML) task, a deep learning-based model must implicitly capture the entire distribution from data. Thus, it requires a huge amount of training samples, and data are expected to fully present…

Machine Learning · Computer Science 2021-11-17 Hung Nguyen , Morris Chang

The Large Hadron Collider's high luminosity era presents major computational challenges in the analysis of collision events. Large amounts of Monte Carlo (MC) simulation will be required to constrain the statistical uncertainties of the…

Climate change necessitates rapid expansion of renewable energy, with wind energy offering a scalable and low-impact solution. However, accurate prediction of wind loads and power generation remains challenging due to uncertainties in wind…

Fluid Dynamics · Physics 2026-04-30 Omar Sallam , Mirjam Fürth

Mixture of autoregressions (MoAR) models provide a model-based approach to the clustering of time series data. The maximum likelihood (ML) estimation of MoAR models requires the evaluation of products of large numbers of densities of normal…

Computation · Statistics 2016-10-19 Hien D Nguyen , Geoffrey J McLachlan , Pierre Orban , Pierre Bellec , Andrew L Janke

This pair of CAS lectures gives an introduction for accelerator physics students to the framework and terminology of machine learning (ML). We start by introducing the language of ML through a simple example of linear regression, including…

Accelerator Physics · Physics 2020-06-18 Daniel Ratner

Mixture distributions with dynamic weights are an efficient way of modeling loss data characterized by heavy tails. However, maximum likelihood estimation of this family of models is difficult, mostly because of the need to evaluate…

Methodology · Statistics 2023-04-11 Marco Bee

A new maximum approximate likelihood (ML) estimation algorithm for the mixture of Kent distribution is proposed. The new algorithm is constructed via the BSLM (block successive lower-bound maximization) framework and incorporates manifold…

Computation · Statistics 2017-09-15 Hien D. Nguyen

In High Energy Physics simulations play a crucial role in unraveling the complexities of particle collision experiments within CERN's Large Hadron Collider. Machine learning simulation methods have garnered attention as promising…

Data Analysis, Statistics and Probability · Physics 2024-06-06 Mikołaj Kita , Jan Dubiński , Przemysław Rokita , Kamil Deja

Multi-sample aggregation strategies, such as majority voting and best-of-N sampling, are widely used in contemporary large language models (LLMs) to enhance predictive accuracy across various tasks. A key challenge in this process is…

Machine Learning · Computer Science 2025-06-17 Weihua Du , Yiming Yang , Sean Welleck

Model ensembling is a well-established technique for improving the performance of machine learning models. Conventionally, this involves averaging the output distributions of multiple models and selecting the most probable label. This idea…

Machine Learning · Computer Science 2026-05-26 Jiale Fu , Yuchu Jiang , Peijun Wu , Chonghan Liu , Joey Tianyi Zhou , Xu Yang

Deep generative models (DGMs) can generate synthetic data samples that closely resemble the original dataset, addressing data scarcity. In this work, we developed a conditional variational autoencoder (CVAE) to augment critical heat flux…

Machine Learning · Computer Science 2025-02-25 Farah Alsafadi , Aidan Furlong , Xu Wu

Deep Neural Networks (DNNs) excel in various domains but face challenges in providing accurate uncertainty estimates, which are crucial for high-stakes applications. Large Language Models (LLMs) have recently emerged as powerful tools,…

Computation and Language · Computer Science 2024-06-18 Han Liu , Yupeng Zhang , Bingning Wang , Weipeng Chen , Xiaolin Hu

How can short-term energy consumption be accurately forecasted when sensor data is noisy, incomplete, and lacks contextual richness? This question guided our participation in the \textit{2025 Competition on Electric Energy Consumption…

Machine Learning · Computer Science 2025-10-21 Sarah Al-Shareeda , Gulcihan Ozdemir , Heung Seok Jeon , Khaleel Ahmad
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