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The self-organizing map is an unsupervised neural network which is widely used for data visualisation and clustering in the field of chemometrics. The classical Kohonen algorithm that computes self-organizing maps is suitable only for…

Methodology · Statistics 2023-02-14 Sara Rejeb , Catherine Duveau , Tabea Rebafka

The trace regression model, a direct extension of the well-studied linear regression model, allows one to map matrices to real-valued outputs. We here introduce an even more general model, namely the partial-trace regression model, a family…

Machine Learning · Computer Science 2020-08-26 Hachem Kadri , Stéphane Ayache , Riikka Huusari , Alain Rakotomamonjy , Liva Ralaivola

We consider a light-weight method which allows to improve the explainability of localized classification networks. The method considers (Grad)CAM maps during the training process by modification of the training loss and does not require…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Alfred Schöttl

Based on the previously proposed concept Understanding Tree, this paper introduces two concepts: Understanding Graph and Understanding Map, and explores their potential applications. Understanding Graph and Understanding Map can be deemed…

Human-Computer Interaction · Computer Science 2017-11-20 Gangli Liu

Practitioners use feature importance to rank and eliminate weak predictors during model development in an effort to simplify models and improve generality. Unfortunately, they also routinely conflate such feature importance measures with…

Machine Learning · Computer Science 2020-06-09 Terence Parr , James D. Wilson , Jeff Hamrick

Most ideas about what an algorithm is are very similar. Basic operations are used for transforming objects. The evaluation of internal and external states by relations has impact on the further process. A more precise definition can lead to…

Logic · Mathematics 2025-02-26 Christine Gaßner

A variety of deep functional maps have been proposed recently, from fully supervised to totally unsupervised, with a range of loss functions as well as different regularization terms. However, it is still not clear what are minimum…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Abhishek Sharma , Maks Ovsjanikov

Lack of transparency in AI systems poses challenges in critical real-life applications. It is important to be able to explain the decisions of an AI system to ensure trust on the system. Explainable AI (XAI) algorithms play a vital role in…

Machine Learning · Computer Science 2026-05-15 Sayantani Ghosh , Amit Kumar Das , Amlan Chakrabarti

A task of interest in machine learning (ML) is that of ascribing explanations to the predictions made by ML models. Furthermore, in domains deemed high risk, the rigor of explanations is paramount. Indeed, incorrect explanations can and…

Artificial Intelligence · Computer Science 2025-07-11 Mohamed Siala , Jordi Planes , Joao Marques-Silva

This paper presents a new anytime algorithm for the marginal MAP problem in graphical models. The algorithm is described in detail, its complexity and convergence rate are studied, and relations to previous theoretical results for the…

Artificial Intelligence · Computer Science 2012-12-21 Denis Maua , Cassio De Campos

There are several ideas being used today for Web information retrieval, and specifically in Web search engines. The PageRank algorithm is one of those that introduce a content-neutral ranking function over Web pages. This ranking is applied…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Giorgos Kollias , Efstratios Gallopoulos , Daniel B. Szyld

A novel multi-level method for partial differential equations with uncertain parameters is proposed. The principle behind the method is that the error between grid levels in multi-level methods has a spatial structure that is by good…

Numerical Analysis · Mathematics 2020-04-29 Yous van Halder , Benjamin Sanderse , Barry Koren

This paper considers (partial) identification of a variety of counterfactual parameters in binary response models with possibly endogenous regressors. Our framework allows for nonseparable index functions with multi-dimensional latent…

Econometrics · Economics 2022-07-26 Jiaying Gu , Thomas M. Russell

Pre-explored Semantic Maps, constructed through prior exploration using visual language models (VLMs), have proven effective as foundational elements for training-free robotic applications. However, existing approaches assume the map's…

Robotics · Computer Science 2024-11-05 Po-Chen Ko , Hung-Ting Su , Ching-Yuan Chen , Jia-Fong Yeh , Min Sun , Winston H. Hsu

We generalize the notions of $\beta$- and $\lambda$-maps to general selections of sublocales, obtaining different classes of localic maps. These new classes of maps are used to characterize almost normality, extremal disconnectedness,…

General Topology · Mathematics 2024-07-25 Ana Belén Avilez

Human core object recognition depends on the selective use of visual information, but the strategies guiding these choices are difficult to measure directly. We present MAPS (Masked Attribution-based Probing of Strategies), a behaviorally…

Neurons and Cognition · Quantitative Biology 2025-10-17 Sabine Muzellec , Yousif Kashef Alghetaa , Simon Kornblith , Kohitij Kar

We aim to create the highest possible quality of treatment-control matches for categorical data in the potential outcomes framework. Matching methods are heavily used in the social sciences due to their interpretability, but most matching…

Machine Learning · Statistics 2019-06-11 Yameng Liu , Aw Dieng , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

Deep generative priors are a powerful tool for reconstruction problems with complex data such as images and text. Inverse problems using such models require solving an inference problem of estimating the input and hidden units of the…

Information Theory · Computer Science 2019-03-05 Parthe Pandit , Mojtaba Sahraee , Sundeep Rangan , Alyson K. Fletcher

Maintaining a map online is resource-consuming while a robust navigation system usually needs environment abstraction via a well-fused map. In this paper, we propose a mapless planner which directly conducts such abstraction on the unfused…

Robotics · Computer Science 2020-11-12 Jialin Ji , Zhepei Wang , Yingjian Wang , Chao Xu , Fei Gao

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
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