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The rapid evolution of machine learning (ML) has led to the widespread adoption of complex "black box" models, such as deep neural networks and ensemble methods. These models exhibit exceptional predictive performance, making them…

Machine Learning · Computer Science 2025-03-28 Moncef Garouani , Josiane Mothe , Ayah Barhrhouj , Julien Aligon

We regard explanations as a blending of the input sample and the model's output and offer a few definitions that capture various desired properties of the function that generates these explanations. We study the links between these…

Machine Learning · Computer Science 2020-01-16 Lior Wolf , Tomer Galanti , Tamir Hazan

Deep learning has revolutionized many areas of machine learning, from computer vision to natural language processing, but these high-performance models are generally "black box." Explaining such models would improve transparency and trust…

Machine Learning · Computer Science 2023-05-18 Daniel Lundstrom , Meisam Razaviyayn

A new concept called multilevel contours is introduced through this article by the author. Theorems on contours constructed on a bundle of complex planes are stated and proved. Multilevel contours can transport information from one complex…

Complex Variables · Mathematics 2021-07-23 Arni S. R. Srinivasa Rao

Machine learning models that incorporate concept learning as an intermediate step in their decision making process can match the performance of black-box predictive models while retaining the ability to explain outcomes in human…

Machine Learning · Computer Science 2021-06-28 Anita Mahinpei , Justin Clark , Isaac Lage , Finale Doshi-Velez , Weiwei Pan

Set-theoretical, physical, and intuitive notions of continuum are compared. It is shown that the independence of the continuum hypothesis determines status and properties of the set of intermediate cardinality. The intermediate set is a…

Quantum Physics · Physics 2007-05-23 O. Yaremchuk

Large language models often reason beyond surface tokens, but the internal stage at which token-level information becomes abstract relational structure remains unclear. We investigate this question by analyzing how attention heads and…

Artificial Intelligence · Computer Science 2026-05-22 Junjie Zhang , Zhen Shen , Xisong Dong , Gang Xiong

Most existing interpretable methods explain a black-box model in a post-hoc manner, which uses simpler models or data analysis techniques to interpret the predictions after the model is learned. However, they (a) may derive contradictory…

Machine Learning · Computer Science 2020-01-22 Mengzhuo Guo , Qingpeng Zhang , Xiuwu Liao , Daniel Dajun Zeng

Concept Bottleneck Models (CBMs) introduce interpretability to black-box deep learning models by predicting labels through human-understandable concepts. However, unlike humans, who identify objects at different levels of abstraction using…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Haodong Xie , Yujun Cai , Rahul Singh Maharjan , Yiwei Wang , Federico Tavella , Angelo Cangelosi

Concept embeddings offer a practical and efficient mechanism for injecting commonsense knowledge into downstream tasks. Their core purpose is often not to predict the commonsense properties of concepts themselves, but rather to identify…

Artificial Intelligence · Computer Science 2024-06-06 Hanane Kteich , Na Li , Usashi Chatterjee , Zied Bouraoui , Steven Schockaert

Several explainable AI methods allow a Machine Learning user to get insights on the classification process of a black-box model in the form of local linear explanations. With such information, the user can judge which features are locally…

Machine Learning · Computer Science 2023-02-16 Francesco Lomuscio , Paolo Bajardi , Alan Perotti , Elvio G. Amparore

Explainability techniques for data-driven predictive models based on artificial intelligence and machine learning algorithms allow us to better understand the operation of such systems and help to hold them accountable. New transparency…

Machine Learning · Computer Science 2022-09-09 Kacper Sokol , Alexander Hepburn , Raul Santos-Rodriguez , Peter Flach

Decision-making in complex systems often relies on machine learning models, yet highly accurate models such as XGBoost and neural networks can obscure the reasoning behind their predictions. In operations research applications,…

Machine Learning · Computer Science 2025-02-28 Gaurav Arwade , Sigurdur Olafsson

Understanding, reasoning, and manipulating semantic concepts of images have been a fundamental research problem for decades. Previous work mainly focused on direct manipulation on natural image manifold through color strokes, key-points,…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Seunghoon Hong , Xinchen Yan , Thomas Huang , Honglak Lee

Model explainability is essential for the creation of trustworthy Machine Learning models in healthcare. An ideal explanation resembles the decision-making process of a domain expert and is expressed using concepts or terminology that is…

Machine Learning · Computer Science 2021-07-14 Sumedha Singla , Stephen Wallace , Sofia Triantafillou , Kayhan Batmanghelich

Deploying AI-powered systems requires trustworthy models supporting effective human interactions, going beyond raw prediction accuracy. Concept bottleneck models promote trustworthiness by conditioning classification tasks on an…

The widespread adoption of black-box models in Artificial Intelligence has enhanced the need for explanation methods to reveal how these obscure models reach specific decisions. Retrieving explanations is fundamental to unveil possible…

Artificial Intelligence · Computer Science 2021-02-26 Francesco Bodria , Fosca Giannotti , Riccardo Guidotti , Francesca Naretto , Dino Pedreschi , Salvatore Rinzivillo

Large-scale foundation models demonstrate strong performance across language, vision, and reasoning tasks. However, how they internally structure and stabilize concepts remains elusive. Inspired by causal inference, we introduce the…

Machine Learning · Computer Science 2025-11-25 Bowei Tian , Yexiao He , Wanghao Ye , Ziyao Wang , Meng Liu , Ang Li

In type theories, universe hierarchies are commonly used to increase the expressive power of the theory while avoiding inconsistencies arising from size issues. There are numerous ways to specify universe hierarchies, and theories may…

Logic in Computer Science · Computer Science 2021-11-02 András Kovács

Complex black-box predictive models may have high performance, but lack of interpretability causes problems like lack of trust, lack of stability, sensitivity to concept drift. On the other hand, achieving satisfactory accuracy of…

Machine Learning · Computer Science 2020-02-12 Alicja Gosiewska , Przemyslaw Biecek