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Existing sample-based methods, like influence functions and representer points, measure the importance of a training point by approximating the effect of its removal from training. As such, they are skewed towards outliers and points that…

Machine Learning · Computer Science 2024-08-13 Lucas Agussurja , Xinyang Lu , Bryan Kian Hsiang Low

Gaussian Process (GP) models are a powerful tool in probabilistic machine learning with a solid theoretical foundation. Thanks to current advances, modeling complex data with GPs is becoming increasingly feasible, which makes them an…

Machine Learning · Computer Science 2025-03-04 Sarem Seitz

Variable importance is central to scientific studies, including the social sciences and causal inference, healthcare, and other domains. However, current notions of variable importance are often tied to a specific predictive model. This is…

Machine Learning · Statistics 2020-02-11 Jiayun Dong , Cynthia Rudin

Generalized linear regressions, such as logistic regressions or Poisson regressions, are long-studied regression analysis approaches, and their applications are widely employed in various classification problems. Our study considers a…

Machine Learning · Statistics 2024-01-17 Vu Duc Anh , Tran Anh Tuan , Tran Ngoc Thang , Nguyen Thi Ngoc Anh

Given a classification model and a prediction for some input, there are heuristic strategies for ranking features according to their importance in regard to the prediction. One common approach to this task is rooted in propositional logic…

Artificial Intelligence · Computer Science 2025-05-16 Tomás Capdevielle , Santiago Cifuentes

In many applications, it is of interest to assess the relative contribution of features (or subsets of features) toward the goal of predicting a response -- in other words, to gauge the variable importance of features. Most recent work on…

Methodology · Statistics 2025-10-23 Brian D. Williamson , Peter B. Gilbert , Noah R. Simon , Marco Carone

Planet-scale photo geolocalization is the complex task of estimating the location depicted in an image solely based on its visual content. Due to the success of convolutional neural networks (CNNs), current approaches achieve super-human…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Jonas Theiner , Eric Mueller-Budack , Ralph Ewerth

We develop flexible methods of deriving variational inference for models with complex latent variable structure. By splitting the variables in these models into "global" parameters and "local" latent variables, we define a class of…

Computation · Statistics 2019-04-23 Linda S. L. Tan , Aishwarya Bhaskaran , David J. Nott

We introduce a novel Bayesian approach for variable selection using Gaussian process regression, which is crucial for enhancing interpretability and model regularization. Our method employs nearest neighbor Gaussian processes, serving as…

In recent years, attention mechanisms have significantly enhanced the performance of object detection by focusing on key feature information. However, prevalent methods still encounter difficulties in effectively balancing local and global…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Yifan Shao

Machine learning models with both good predictability and high interpretability are crucial for decision support systems. Linear regression is one of the most interpretable prediction models. However, the linearity in a simple linear…

Machine Learning · Statistics 2022-04-29 Lkhagvadorj Munkhdalai , Tsendsuren Munkhdalai , Keun Ho Ryu

Interpretable machine learning has become a very active area of research due to the rising popularity of machine learning algorithms and their inherently challenging interpretability. Most work in this area has been focused on the…

Machine Learning · Statistics 2023-11-09 Quay Au , Julia Herbinger , Clemens Stachl , Bernd Bischl , Giuseppe Casalicchio

Machine learning algorithms often assume that training samples are independent. When data points are connected by a network, the induced dependency between samples is both a challenge, reducing effective sample size, and an opportunity to…

Machine Learning · Statistics 2025-09-22 Tiffany M. Tang , Elizaveta Levina , Ji Zhu

Global sensitivity analysis is used to quantify the influence of uncertain input parameters on the response variability of a numerical model. The common quantitative methods are applicable to computer codes with scalar input variables. This…

Applications · Statistics 2008-06-09 Bertrand Iooss , Mathieu Ribatet

An old problem in multivariate statistics is that linear Gaussian models are often unidentifiable, i.e. some parameters cannot be uniquely estimated. In factor (component) analysis, an orthogonal rotation of the factors is unidentifiable,…

Machine Learning · Statistics 2023-05-04 Aapo Hyvärinen , Ilyes Khemakhem , Ricardo Monti

Gaussian process regression is a frequently used statistical method for flexible yet fully probabilistic non-linear regression modeling. A common obstacle is its computational complexity which scales poorly with the number of observations.…

Methodology · Statistics 2026-03-10 Adam Gorm Hoffmann , Claus Thorn Ekstrøm , Andreas Kryger Jensen

Many real-world processes and phenomena are modeled using systems of ordinary differential equations with parameters. Given such a system, we say that a parameter is globally identifiable if it can be uniquely recovered from input and…

Classical Analysis and ODEs · Mathematics 2023-05-24 Hoon Hong , Alexey Ovchinnikov , Gleb Pogudin , Chee Yap

Understanding the decision of large deep learning models is a critical challenge for building transparent and trustworthy systems. Although the current post hoc explanation methods offer valuable insights into feature importance, they are…

Machine Learning · Computer Science 2025-11-19 Emanuel Covaci , Fabian Galis , Radu Balan , Daniela Zaharie , Darian Onchis

Forecasting groups of time series is of increasing practical importance, e.g. forecasting the demand for multiple products offered by a retailer or server loads within a data center. The local approach to this problem considers each time…

Machine Learning · Computer Science 2021-03-30 Pablo Montero-Manso , Rob J Hyndman

The interpretability of machine learning models has gained increasing attention, particularly in scientific domains where high precision and accountability are crucial. This research focuses on distinguishing between two critical data…

Machine Learning · Computer Science 2024-07-02 Jiajun Zhu , Siqi Miao , Rex Ying , Pan Li