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Non-negative matrix factorization (NMF) is a dimensionality reduction technique that has shown promise for analyzing noisy data, especially astronomical data. For these datasets, the observed data may contain negative values due to noise…

Instrumentation and Methods for Astrophysics · Physics 2024-10-04 Dylan Green , Stephen Bailey

The continuous surge in data volume and velocity is often dealt with using data orchestration and distributed processing approaches, abstracting away the machine learning challenges that exist at the algorithmic level. With growing interest…

Machine Learning · Computer Science 2025-03-04 Behraj Khan , Behroz Mirza , Nouman Durrani , Tahir Syed

Graph topology identification (GTI) is a central challenge in networked systems, where the underlying structure is often hidden, yet nodal data are available. Conventional solutions to address these challenges rely on probabilistic models…

Signal Processing · Electrical Eng. & Systems 2026-02-18 Yongsheng Han , Raj Thilak Rajan , Geert Leus

Data discretization, also known as binning, is a frequently used technique in computer science, statistics, and their applications to biological data analysis. We present a new method for the discretization of real-valued data into a finite…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Elena S. Dimitrova , John J. McGee , Reinhard C. Laubenbacher

Modern data analysis frequently involves variables with highly non-Gaussian marginal distributions. However, commonly used analysis methods are most effective with roughly Gaussian data. This paper introduces an automatic transformation…

Methodology · Statistics 2016-01-11 Qing Feng , Jan Hannig , J. S. Marron

In the computational sciences, one must often estimate model parameters from data subject to noise and uncertainty, leading to inaccurate results. In order to improve the accuracy of models with noisy parameters, we consider the problem of…

Numerical Analysis · Mathematics 2022-02-25 Philip Etter , Lexing Ying

The compact genetic algorithm is an Estimation of Distribution Algorithm for binary optimisation problems. Unlike the standard Genetic Algorithm, no cross-over or mutation is involved. Instead, the compact Genetic Algorithm uses a virtual…

Neural and Evolutionary Computing · Computer Science 2017-08-08 Simon M. Lucas , Jialin Liu , Diego Pérez-Liébana

Distribution shifts introduce uncertainty that undermines the robustness and generalization capabilities of machine learning models. While conventional wisdom suggests that learning causal-invariant representations enhances robustness to…

Machine Learning · Computer Science 2025-05-28 Abbavaram Gowtham Reddy , Celia Rubio-Madrigal , Rebekka Burkholz , Krikamol Muandet

In this work, we investigate Batch Normalization technique and propose its probabilistic interpretation. We propose a probabilistic model and show that Batch Normalization maximazes the lower bound of its marginalized log-likelihood. Then,…

Machine Learning · Statistics 2018-03-22 Andrei Atanov , Arsenii Ashukha , Dmitry Molchanov , Kirill Neklyudov , Dmitry Vetrov

Population adjustment methods such as matching-adjusted indirect comparison (MAIC) are increasingly used to compare marginal treatment effects when there are cross-trial differences in effect modifiers and limited patient-level data. MAIC…

Methodology · Statistics 2022-05-12 Antonio Remiro-Azócar , Anna Heath , Gianluca Baio

Leveraging the models' outputs, specifically the logits, is a common approach to estimating the test accuracy of a pre-trained neural network on out-of-distribution (OOD) samples without requiring access to the corresponding ground truth…

Machine Learning · Computer Science 2024-11-26 Renchunzi Xie , Ambroise Odonnat , Vasilii Feofanov , Weijian Deng , Jianfeng Zhang , Bo An

This paper studies kernel ridge regression in high dimensions under covariate shifts and analyzes the role of importance re-weighting. We first derive the asymptotic expansion of high dimensional kernels under covariate shifts. By a…

Machine Learning · Statistics 2024-06-06 Yihang Chen , Fanghui Liu , Taiji Suzuki , Volkan Cevher

Since data scarcity and data heterogeneity are prevailing for medical images, well-trained Convolutional Neural Networks (CNNs) using previous normalization methods may perform poorly when deployed to a new site. However, a reliable model…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Chengfeng Zhou , Songchang Chen , Chenming Xu , Jun Wang , Feng Liu , Chun Zhang , Juan Ye , Hefeng Huang , Dahong Qian

The generalization capacity of various machine learning models exhibits different phenomena in the under- and over-parameterized regimes. In this paper, we focus on regression models such as feature regression and kernel regression and…

Machine Learning · Computer Science 2022-03-14 Björn Engquist , Kui Ren , Yunan Yang

Inverse optimization refers to the inference of unknown parameters of an optimization problem based on knowledge of its optimal solutions. This paper considers inverse optimization in the setting where measurements of the optimal solutions…

Optimization and Control · Mathematics 2017-12-27 Anil Aswani , Zuo-Jun Max Shen , Auyon Siddiq

This paper considers a noisy data structure recovery problem. The goal is to investigate the following question: Given a noisy observation of a permuted data set, according to which permutation was the original data sorted? The focus is on…

Information Theory · Computer Science 2020-11-24 Minoh Jeong , Alex Dytso , Martina Cardone , H. Vincent Poor

In the field of Machine Learning (ML) and data-driven applications, one of the significant challenge is the change in data distribution between the training and deployment stages, commonly known as distribution shift. This paper outlines…

Machine Learning · Computer Science 2025-07-30 Lakpa Tamang , Mohamed Reda Bouadjenek , Richard Dazeley , Sunil Aryal

In the current quantum computing paradigm, significant focus is placed on the reduction or mitigation of quantum decoherence. When designing new quantum processing units, the general objective is to reduce the amount of noise qubits are…

Quantum Physics · Physics 2026-02-17 Viacheslav Kuzmin , Wilfrid Somogyi , Ekaterina Pankovets , Alexey Melnikov

The prevalence of variational methods in near-term quantum computing makes optimizer choice critical, yet selection is frequently intuition-based. We therefore present a systematic benchmark of eight classical optimization algorithms for…

Quantum Physics · Physics 2026-01-23 S. Illésová , V. Novák , T. Bezděk , C. Possel , M. Beseda

Hybrid quantum-classical optimization algorithms represent one of the most promising application for near-term quantum computers. In these algorithms the goal is to optimize an observable quantity with respect to some classical parameters,…

Quantum Physics · Physics 2021-01-27 Leonardo Banchi , Gavin E. Crooks