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Conditional sampling is a fundamental task in Bayesian statistics and generative modeling. Consider the problem of sampling from the posterior distribution $P_{X|Y=y^*}$ for some observation $y^*$, where the likelihood $P_{Y|X}$ is known,…

Methodology · Statistics 2025-10-14 Han Cui , Jingbo Liu

This paper presents a brief introduction to the key points of the Grey Machine Learning (GML) based on the kernels. The general formulation of the grey system models have been firstly summarized, and then the nonlinear extension of the grey…

Machine Learning · Statistics 2019-06-21 Xin Ma

Understanding the interpretation of machine learning (ML) models has been of paramount importance when making decisions with societal impacts such as transport control, financial activities, and medical diagnosis. While current model…

Human-Computer Interaction · Computer Science 2024-05-07 Jun Yuan , Gromit Yeuk-Yin Chan , Brian Barr , Kyle Overton , Kim Rees , Luis Gustavo Nonato , Enrico Bertini , Claudio T. Silva

This paper introduces a novel Bayesian learning model to explain the behavior of Large Language Models (LLMs), focusing on their core optimization metric of next token prediction. We develop a theoretical framework based on an ideal…

Machine Learning · Computer Science 2024-09-25 Siddhartha Dalal , Vishal Misra

Learning meaningful abstract models of Markov Decision Processes (MDPs) is crucial for improving generalization from limited data. In this work, we show how geometric priors can be imposed on the low-dimensional representation manifold of a…

Machine Learning · Computer Science 2026-05-20 Thomas Delliaux , Nguyen-Khanh Vu , Vincent François-Lavet , Elise van der Pol , Emmanuel Rachelson

Concept Bottleneck Models (CBMs) offer interpretable alternatives to black-box predictors by introducing human-relatable concepts before the final output. However, existing CBMs struggle to verify whether predicted concepts correspond to…

Machine Learning · Computer Science 2026-05-15 Yingying Fang , Haijie Xu , Shuang Wu , Mariathasan Anish , Guang Yang

Understanding the molecular processes that drive cellular life is a fundamental question in biological research. Ambitious programs have gathered a number of molecular datasets on large populations. To decipher the complex cellular…

Genomics · Quantitative Biology 2023-03-22 Myriam Bontonou , Anaïs Haget , Maria Boulougouri , Jean-Michel Arbona , Benjamin Audit , Pierre Borgnat

Deep learning is becoming increasingly adopted in business and industry due to its ability to transform large quantities of data into high-performing models. These models, however, are generally regarded as black boxes, which, in spite of…

Machine Learning · Computer Science 2023-02-21 Stefan Druc , Peter Wooldridge , Adarsh Krishnamurthy , Soumik Sarkar , Aditya Balu

There has been considerable recent interest in interpretable concept-based models such as Concept Bottleneck Models (CBMs), which first predict human-interpretable concepts and then map them to output classes. To reduce reliance on…

Machine Learning · Computer Science 2024-07-08 Simon Schrodi , Julian Schur , Max Argus , Thomas Brox

A hybrid model involves the cooperation of an interpretable model and a complex black box. At inference, any input of the hybrid model is assigned to either its interpretable or complex component based on a gating mechanism. The advantages…

Machine Learning · Computer Science 2023-03-09 Julien Ferry , Gabriel Laberge , Ulrich Aïvodji

Auto-encoders are perhaps the best-known non-probabilistic methods for representation learning. They are conceptually simple and easy to train. Recent theoretical work has shed light on their ability to capture manifold structure, and drawn…

Machine Learning · Computer Science 2015-06-16 Daniel Jiwoong Im , Graham W. Taylor

Trained AI systems and expert decision makers can make errors that are often difficult to identify and understand. Determining the root cause for these errors can improve future decisions. This work presents Generative Error Model (GEM), a…

Artificial Intelligence · Computer Science 2021-03-30 Ramya Ramakrishnan , Vaibhav Unhelkar , Ece Kamar , Julie Shah

Deep model-based reinforcement learning methods offer a conceptually simple approach to the decision-making and control problem: use learning for the purpose of estimating an approximate dynamics model, and offload the rest of the work to…

Machine Learning · Computer Science 2023-07-13 Michael Janner

Deep generative models often perform poorly in real-world applications due to the heterogeneity of natural data sets. Heterogeneity arises from data containing different types of features (categorical, ordinal, continuous, etc.) and…

Machine Learning · Computer Science 2020-06-23 Chao Ma , Sebastian Tschiatschek , José Miguel Hernández-Lobato , Richard Turner , Cheng Zhang

We interpret the predictions of any black-box structured input-structured output model around a specific input-output pair. Our method returns an "explanation" consisting of groups of input-output tokens that are causally related. These…

Machine Learning · Computer Science 2017-11-16 David Alvarez-Melis , Tommi S. Jaakkola

The vast majority of research on explainability focuses on post-explainability rather than explainable modeling. Namely, an explanation model is derived to explain a complex black box model built with the sole purpose of achieving the…

Machine Learning · Computer Science 2020-02-14 Gabriel Terejanu , Jawad Chowdhury , Rezaur Rashid , Asif Chowdhury

Latent space geometry provides a rigorous and empirically valuable framework for interacting with the latent variables of deep generative models. This approach reinterprets Euclidean latent spaces as Riemannian through a pull-back metric,…

Machine Learning · Statistics 2024-08-15 Stas Syrota , Pablo Moreno-Muñoz , Søren Hauberg

In the last years many accurate decision support systems have been constructed as black boxes, that is as systems that hide their internal logic to the user. This lack of explanation constitutes both a practical and an ethical issue. The…

Computers and Society · Computer Science 2018-06-22 Riccardo Guidotti , Anna Monreale , Salvatore Ruggieri , Franco Turini , Dino Pedreschi , Fosca Giannotti

We point out that neural networks are not black boxes, and their generalization stems from the ability to dynamically map a dataset to the extrema of the model function. We further prove that the number of extrema in a neural network is…

Machine Learning · Computer Science 2025-10-13 Shengjian Chen

The success of machine learning algorithms generally depends on data representation, and we hypothesize that this is because different representations can entangle and hide more or less the different explanatory factors of variation behind…

Machine Learning · Computer Science 2014-04-24 Yoshua Bengio , Aaron Courville , Pascal Vincent