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The accurate asymptotic evaluation of marginal likelihood integrals is a fundamental problem in Bayesian statistics. Following the approach introduced by Watanabe, we translate this into a problem of computational algebraic geometry,…

Computation · Statistics 2017-02-14 Shaowei Lin

In the context of image classification, Concept Bottleneck Models (CBMs) first embed images into a set of human-understandable concepts, followed by an intrinsically interpretable classifier that predicts labels based on these intermediate…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Haifei Zhang , Patrick Barry , Eduardo Brandao

We review recent results about the maximal values of the Kullback-Leibler information divergence from statistical models defined by neural networks, including naive Bayes models, restricted Boltzmann machines, deep belief networks, and…

Statistics Theory · Mathematics 2014-06-18 Guido Montufar , Johannes Rauh , Nihat Ay

We study the problem of explaining link predictions in the Knowledge Graph Embedding (KGE) models. We propose an example-based approach that exploits the latent space representation of nodes and edges in a knowledge graph to explain…

Machine Learning · Computer Science 2022-12-07 Adrianna Janik , Luca Costabello

We consider model selection in generalized linear models (GLM) for high-dimensional data and propose a wide class of model selection criteria based on penalized maximum likelihood with a complexity penalty on the model size. We derive a…

Statistics Theory · Mathematics 2016-03-31 Felix Abramovich , Vadim Grinshtein

Interpretability methods that utilise local surrogate models (e.g. LIME) are very good at describing the behaviour of the predictive model at a point of interest, but they are not guaranteed to extrapolate to the local region surrounding…

Machine Learning · Computer Science 2024-02-21 Marton Havasi , Sonali Parbhoo , Finale Doshi-Velez

Interpretability techniques in NLP have mainly focused on understanding individual predictions using attention visualization or gradient-based saliency maps over tokens. We propose using k nearest neighbor (kNN) representations to identify…

Computation and Language · Computer Science 2020-10-20 Nazneen Fatema Rajani , Ben Krause , Wengpeng Yin , Tong Niu , Richard Socher , Caiming Xiong

Current approaches in approximate inference for Bayesian neural networks minimise the Kullback-Leibler divergence to approximate the true posterior over the weights. However, this approximation is without knowledge of the final application,…

Machine Learning · Statistics 2018-05-11 Adam D. Cobb , Stephen J. Roberts , Yarin Gal

Bayesian reasoning is a powerful mechanism for probabilistic inference in smart edge-devices. During such inferences, a low-precision arithmetic representation can enable improved energy efficiency. However, its impact on inference accuracy…

Hardware Architecture · Computer Science 2021-03-02 Nimish Shah , Laura I. Galindez Olascoaga , Wannes Meert , Marian Verhelst

The Kullback-Leibler (KL) divergence is frequently used in data science. For discrete distributions on large state spaces, approximations of probability vectors may result in a few small negative entries, rendering the KL divergence…

Global variable importance measures are commonly used to interpret the results of machine learning models. Local variable importance techniques assess how variables contribute to individual observations. Current, popular methods, including…

Machine Learning · Statistics 2026-03-12 Kelvyn K. Bladen , Adele Cutler , D. Richard Cutler , Kevin R. Moon

Machine learning is currently undergoing an explosion in capability, popularity, and sophistication. However, one of the major barriers to widespread acceptance of machine learning (ML) is trustworthiness: most ML models operate as black…

Bayesian networks (BNs) are a foundational model in machine learning and causal inference. Their graphical structure can handle high-dimensional problems, divide them into a sparse collection of smaller ones, underlies Judea Pearl's…

Artificial Intelligence · Computer Science 2024-01-17 Marco Scutari

We investigate the problem of estimating the causal effect of a treatment on individual subjects from observational data, this is a central problem in various application domains, including healthcare, social sciences, and online…

Methodology · Statistics 2019-01-30 Ahmed M. Alaa , Mihaela van der Schaar

Interpretable models are designed to make decisions in a human-interpretable manner. Representatively, Concept Bottleneck Models (CBM) follow a two-step process of concept prediction and class prediction based on the predicted concepts. CBM…

Machine Learning · Computer Science 2023-06-05 Eunji Kim , Dahuin Jung , Sangha Park , Siwon Kim , Sungroh Yoon

As Large Language Models (LLMs) scale to handle massive context windows, achieving surgical feature-level interpretation is essential for high-stakes tasks like legal auditing and code debugging. However, existing local model-agnostic…

Computation and Language · Computer Science 2026-02-05 Junhao Liu , Haonan Yu , Zhenyu Yan , Xin Zhang

Explainable AI (XAI) is crucial for building transparent and trustworthy machine learning systems, especially in high-stakes domains. Concept Bottleneck Models (CBMs) have emerged as a promising ante-hoc approach that provides…

Artificial Intelligence · Computer Science 2026-01-21 Hanwei Zhang , Luo Cheng , Rui Wen , Yang Zhang , Lijun Zhang , Holger Hermanns

This paper presents a systematic literature review (SLR) on the explainability and interpretability of machine learning (ML) models within the context of predictive process mining, using the PRISMA framework. Given the rapid advancement of…

Machine Learning · Computer Science 2024-01-01 Nijat Mehdiyev , Maxim Majlatow , Peter Fettke

Interpretability is a pressing issue for decision systems. Many post hoc methods have been proposed to explain the predictions of a single machine learning model. However, business processes and decision systems are rarely centered around a…

Machine Learning · Computer Science 2023-03-22 Gianluigi Lopardo , Damien Garreau , Frederic Precioso , Greger Ottosson

The number of information systems (IS) studies dealing with explainable artificial intelligence (XAI) is currently exploding as the field demands more transparency about the internal decision logic of machine learning (ML) models. However,…

Machine Learning · Computer Science 2022-04-21 Patrick Zschech , Sven Weinzierl , Nico Hambauer , Sandra Zilker , Mathias Kraus