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In order to estimate the specific intrinsic volumes of a planar Boolean model from a binary image, we consider local digital algorithms based on weighted sums of $2\times 2$ configuration counts. For Boolean models with balls as grains,…

Statistics Theory · Mathematics 2016-02-24 Anne Marie Svane

This paper presents a PAC-Bayes framework for learning controllers for unknown stochastic linear discrete-time systems, where the system parameters are drawn from a fixed but unknown distribution. We derive a data-dependent high probability…

Optimization and Control · Mathematics 2026-05-22 Yujia Luo , Ye Pu , Jonathan H. Manton , Jingge Zhu

In this paper we consider the estimation of unknown parameters in Bayesian inverse problems. In most cases of practical interest, there are several barriers to performing such estimation, This includes a numerical approximation of a…

Methodology · Statistics 2025-02-07 Neil K. Chada , Ajay Jasra , Mohamed Maama , Raul Tempone

This paper provides statistical guarantees on the accuracy of dynamical models learned from dependent data sequences. Specifically, we develop uniform error bounds that apply to quantized models and imperfect optimization algorithms…

Machine Learning · Computer Science 2026-02-18 Abdelkader Metakalard , Fabien Lauer , Kevin Colin , Marion Gilson

The goal of extrinsic calibration is the alignment of sensor data to ensure an accurate representation of the surroundings and enable sensor fusion applications. From a safety perspective, sensor calibration is a key enabler of autonomous…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Ilir Tahiraj , Jeremialie Swadiryus , Felix Fent , Markus Lienkamp

In Bayesian online settings, every element has a value that is drawn from a known underlying distribution, which we refer to as the element's identity. The elements arrive sequentially. Upon the arrival of an element, its value is revealed,…

Computer Science and Game Theory · Computer Science 2024-02-28 Tomer Ezra , Michal Feldman , Zhihao Gavin Tang

In machine learning contests such as the ImageNet Large Scale Visual Recognition Challenge and the KDD Cup, contestants can submit candidate solutions and receive from an oracle (typically the organizers of the competition) the accuracy of…

Machine Learning · Computer Science 2015-11-16 Jacob Whitehill

We target the problem of accuracy and robustness in causal inference from finite data sets. Some state-of-the-art algorithms produce clear output complete with solid theoretical guarantees but are susceptible to propagating erroneous…

Artificial Intelligence · Computer Science 2012-10-19 Tom Claassen , Tom Heskes

Linear discriminant analysis (LDA) is a fundamental classification and dimension reduction method that achieves Bayes optimality under Gaussian mixture, but often struggles in high-dimensional settings where the covariance matrix cannot be…

Computation · Statistics 2026-04-06 Cencheng Shen , Yuexiao Dong

Image anomaly detection (IAD) is an emerging and vital computer vision task in industrial manufacturing (IM). Recently, many advanced algorithms have been reported, but their performance deviates considerably with various IM settings. We…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Guoyang Xie , Jinbao Wang , Jiaqi Liu , Jiayi Lyu , Yong Liu , Chengjie Wang , Feng Zheng , Yaochu Jin

International Classification of Diseases (ICD) is a set of classification codes for medical records. Automated ICD coding, which assigns unique International Classification of Diseases codes with each medical record, is widely used recently…

Artificial Intelligence · Computer Science 2022-12-12 Shi Wang , Daniel Tang , Luchen Zhang , Huilin Li , Ding Han

Inverse problems are crucial for many applications in science, engineering and medicine that involve data assimilation, design, and imaging. Their solution infers the parameters or latent states of a complex system from noisy data and…

Methodology · Statistics 2026-03-06 Lucas Amoudruz , Sergey Litvinov , Costas Papadimitriou , Petros Koumoutsakos

Integrated circuit manufacturing is highly complex, comprising hundreds of process steps. Defects can arise at any stage, causing yield loss and ultimately degrading product reliability. Supervised methods require extensive human annotation…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Botong. Zhao , Xubin. Wang , Shujing. Lyu , Yue. Lu

Learning to Defer (L2D) improves AI reliability in decision-critical environments by training AI to either make its own prediction or defer the decision to a human expert. A key challenge is adapting to unseen experts at test time, whose…

Machine Learning · Computer Science 2026-03-03 Joshua Strong , Pramit Saha , Yasin Ibrahim , Cheng Ouyang , Alison Noble

In this paper, by treating in-context learning (ICL) as a meta-optimization process, we explain why LLMs are sensitive to the order of ICL examples. This understanding leads us to the development of Batch-ICL, an effective, efficient, and…

Machine Learning · Computer Science 2024-06-06 Kaiyi Zhang , Ang Lv , Yuhan Chen , Hansen Ha , Tao Xu , Rui Yan

One of the primary goals of statistical precision medicine is to learn optimal individualized treatment rules (ITRs). The classification-based, or machine learning-based, approach to estimating optimal ITRs was first introduced in…

Methodology · Statistics 2024-06-18 Sophia Yazzourh , Nikki L. B. Freeman

We propose a new method for blind system identification. Resorting to a Gaussian regression framework, we model the impulse response of the unknown linear system as a realization of a Gaussian process. The structure of the covariance matrix…

Systems and Control · Computer Science 2016-05-20 Giulio Bottegal , Riccardo S. Risuleo , Håkan Hjalmarsson

The instrumental-variables (IV) setting is standard for partial identification of causal effects when unobserved confounding makes point identification impossible. Existing approaches face methodological bottlenecks: closed-form bound…

Machine Learning · Computer Science 2026-05-14 Vahid Balazadeh , Hamidreza Kamkari , Medha Barath , Ricardo Silva , Rahul G. Krishnan

Deep learning has introduced significant improvements in many software analysis tasks. Although the Large Language Models (LLMs) based neural code models demonstrate commendable performance when trained and tested within the intra-project…

Artificial Intelligence · Computer Science 2024-03-12 Zhiming Li , Yanzhou Li , Tianlin Li , Mengnan Du , Bozhi Wu , Yushi Cao , Junzhe Jiang , Yang Liu

The modeling of binary microlensing light curves via the standard sampling-based method can be challenging, because of the time-consuming light-curve computation and the pathological likelihood landscape in the high-dimensional parameter…

Instrumentation and Methods for Astrophysics · Physics 2022-10-17 Haimeng Zhao , Wei Zhu