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Traditional neural networks have an impressive classification performance, but what they learn cannot be inspected, verified or extracted. Neural Logic Networks on the other hand have an interpretable structure that enables them to learn a…

Machine Learning · Computer Science 2026-01-26 Vincent Perreault , Katsumi Inoue , Richard Labib , Alain Hertz

Over past several years, deep learning has achieved huge successes in various applications. However, such a data-driven approach is often criticized for lack of interpretability. Recently, we proposed artificial quadratic neural networks…

Neural and Evolutionary Computing · Computer Science 2019-06-12 Fenglei Fan , Ge Wang

The ubiquity of neural networks (NNs) in real-world applications, from healthcare to natural language processing, underscores their immense utility in capturing complex relationships within high-dimensional data. However, NNs come with…

Machine Learning · Computer Science 2024-07-08 Chang Yue , Niraj K. Jha

While neural networks are good at learning unspecified functions from training samples, they cannot be directly implemented in hardware and are often not interpretable or formally verifiable. On the other hand, logic circuits are…

Machine Learning · Computer Science 2020-06-09 Tobias Brudermueller , Dennis L. Shung , Adrian J. Stanley , Johannes Stegmaier , Smita Krishnaswamy

We propose a novel learning paradigm for Deep Neural Networks (DNN) by using Boolean logic algebra. We first present the basic differentiable operators of a Boolean system such as conjunction, disjunction and exclusive-OR and show how these…

Machine Learning · Computer Science 2019-04-10 Ali Payani , Faramarz Fekri

We introduce the Rule Network with Selective Logical Operators (RNS), a novel neural architecture that employs \textbf{selective logical operators} to adaptively choose between AND and OR operations at each neuron during training. Unlike…

Machine Learning · Computer Science 2026-04-03 Bowen Wei , Ziwei Zhu

Real artificial intelligence always has been focused on by many machine learning researchers, especially in the area of deep learning. However deep neural network is hard to be understood and explained, and sometimes, even metaphysics. The…

Machine Learning · Computer Science 2019-10-22 Jinwei Zhao , Qizhou Wang , Fuqiang Zhang , Wanli Qiu , Yufei Wang , Yu Liu , Guo Xie , Weigang Ma , Bin Wang , Xinhong Hei

With the broader and highly successful usage of machine learning in industry and the sciences, there has been a growing demand for Explainable AI. Interpretability and explanation methods for gaining a better understanding about the problem…

Machine Learning · Computer Science 2021-02-26 Wojciech Samek , Grégoire Montavon , Sebastian Lapuschkin , Christopher J. Anders , Klaus-Robert Müller

Neural networks have the ability to serve as universal function approximators, but they are not interpretable and don't generalize well outside of their training region. Both of these issues are problematic when trying to apply standard…

Machine Learning · Computer Science 2023-08-21 Colby Fronk , Linda Petzold

The AI community is increasingly putting its attention towards combining symbolic and neural approaches, as it is often argued that the strengths and weaknesses of these approaches are complementary. One recent trend in the literature are…

Artificial Intelligence · Computer Science 2021-10-12 Emile van Krieken , Erman Acar , Frank van Harmelen

The ability to conduct logical reasoning is a fundamental aspect of intelligent human behavior, and thus an important problem along the way to human-level artificial intelligence. Traditionally, logic-based symbolic methods from the field…

Artificial Intelligence · Computer Science 2021-01-11 Patrick Hohenecker , Thomas Lukasiewicz

Despite their great success in recent years, deep neural networks (DNN) are mainly black boxes where the results obtained by running through the network are difficult to understand and interpret. Compared to e.g. decision trees or bayesian…

Machine Learning · Computer Science 2019-07-02 Jan Niclas Reimann , Andreas Schwung

Deep learning as represented by the artificial deep neural networks (DNNs) has achieved great success in many important areas that deal with text, images, videos, graphs, and so on. However, the black-box nature of DNNs has become one of…

Machine Learning · Computer Science 2021-09-29 Fenglei Fan , Jinjun Xiong , Mengzhou Li , Ge Wang

An essential goal in mechanistic interpretability to decode a network, i.e., to convert a neural network's raw weights to an interpretable algorithm. Given the difficulty of the decoding problem, progress has been made to understand the…

Machine Learning · Computer Science 2023-12-07 Isaac Liao , Ziming Liu , Max Tegmark

Not only are Deep Neural Networks (DNNs) black box models, but also we frequently conceptualize them as such. We lack good interpretations of the mechanisms linking inputs to outputs. Therefore, we find it difficult to analyze in…

Machine Learning · Computer Science 2020-06-29 Christopher Snyder , Sriram Vishwanath

The human reasoning process is seldom a one-way process from an input leading to an output. Instead, it often involves a systematic deduction by ruling out other possible outcomes as a self-checking mechanism. In this paper, we describe the…

Artificial Intelligence · Computer Science 2020-03-10 Fang Wan , Chaoyang Song

Type analyses of logic programs which aim at inferring the types of the program being analyzed are presented in a unified abstract interpretation-based framework. This covers most classical abstract interpretation-based type analyzers for…

Software Engineering · Computer Science 2009-09-29 Claudio Vaucheret , Francisco Bueno

The large and still increasing popularity of deep learning clashes with a major limit of neural network architectures, that consists in their lack of capability in providing human-understandable motivations of their decisions. In situations…

Machine Learning · Computer Science 2023-05-22 Gabriele Ciravegna , Pietro Barbiero , Francesco Giannini , Marco Gori , Pietro Lió , Marco Maggini , Stefano Melacci

Recently, research has increasingly focused on developing efficient neural network architectures. In this work, we explore logic gate networks for machine learning tasks by learning combinations of logic gates. These networks comprise logic…

Machine Learning · Computer Science 2022-10-18 Felix Petersen , Christian Borgelt , Hilde Kuehne , Oliver Deussen

Classical higher-order logic, when utilized as a meta-logic in which various other (classical and non-classical) logics can be shallowly embedded, is well suited for realising a universal logic reasoning approach. Universal logic reasoning…

Artificial Intelligence · Computer Science 2017-03-29 Christoph Benzmüller
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