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Neural networks have a reputation for being better at solving statistical or approximate problems than at performing calculations or working with symbolic data. In this paper, we show that they can be surprisingly good at more elaborated…

Symbolic Computation · Computer Science 2019-12-04 Guillaume Lample , François Charton

This paper presents a method to explain the knowledge encoded in a convolutional neural network (CNN) quantitatively and semantically. The analysis of the specific rationale of each prediction made by the CNN presents a key issue of…

Computer Vision and Pattern Recognition · Computer Science 2018-12-19 Runjin Chen , Hao Chen , Ge Huang , Jie Ren , Quanshi Zhang

While deep learning approaches to information extraction have had many successes, they can be difficult to augment or maintain as needs shift. Rule-based methods, on the other hand, can be more easily modified. However, crafting rules…

Computation and Language · Computer Science 2022-02-02 Robert Vacareanu , Marco A. Valenzuela-Escarcega , George C. G. Barbosa , Rebecca Sharp , Mihai Surdeanu

The automation of the medical evidence acquisition and diagnosis process has recently attracted increasing attention in order to reduce the workload of doctors and democratize access to medical care. However, most works proposed in the…

Computation and Language · Computer Science 2022-10-14 Arsene Fansi Tchango , Rishab Goel , Julien Martel , Zhi Wen , Gaetan Marceau Caron , Joumana Ghosn

Deep neural networks are increasingly being used in cognitive modeling as a means of deriving representations for complex stimuli such as images. While the predictive power of these networks is high, it is often not clear whether they also…

Neurons and Cognition · Quantitative Biology 2020-06-01 Aditi Jha , Joshua Peterson , Thomas L. Griffiths

The use of numerical uncertainty representations allows better modeling of some aspects of human evidential reasoning. It also makes knowledge acquisition and system development, test, and modification more difficult. We propose that where…

Artificial Intelligence · Computer Science 2013-04-11 Richard A. Caruana

A dynamical neural network consists of a set of interconnected neurons that interact over time continuously. It can exhibit computational properties in the sense that the dynamical system's evolution and/or limit points in the associated…

Machine Learning · Computer Science 2018-05-24 Tsung-Han Lin , Ping Tak Peter Tang

One of the key challenges when developing a predictive model is the capability to describe the domain knowledge and the cause-effect relationships in a simple way. Decision rules are a useful and important methodology in this context,…

Machine Learning · Computer Science 2021-10-19 Francisco Valente , Jorge Henriques , Simão Paredes , Teresa Rocha , Paulo de Carvalho , João Morais

Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Govind Gandhi

Deep neural networks are becoming more and more popular due to their revolutionary success in diverse areas, such as computer vision, natural language processing, and speech recognition. However, the decision-making processes of these…

Computation and Language · Computer Science 2021-10-15 Oana-Maria Camburu

Artificial Intelligence has emerged as a useful aid in numerous clinical applications for diagnosis and treatment decisions. Deep neural networks have shown same or better performance than clinicians in many tasks owing to the rapid…

Image and Video Processing · Electrical Eng. & Systems 2021-11-05 Zohaib Salahuddin , Henry C Woodruff , Avishek Chatterjee , Philippe Lambin

In this manuscript, we show that any neural network with any activation function can be represented as a decision tree. The representation is equivalence and not an approximation, thus keeping the accuracy of the neural network exactly as…

Machine Learning · Computer Science 2022-10-26 Caglar Aytekin

Our main contribution is to show that the behaviour of kernels across multiple layers of a convolutional neural network can be approximated using a logic program. The extracted logic programs yield accuracies that correlate with those of…

Machine Learning · Computer Science 2020-10-20 Joe Townsend , Theodoros Kasioumis , Hiroya Inakoshi

While a real-world research program in mathematics may be guided by a motivating question, the process of mathematical discovery is typically open-ended. Ideally, exploration needed to answer the original question will reveal new…

Machine Learning · Computer Science 2026-01-30 Henry Kvinge , Andrew Aguilar , Nayda Farnsworth , Grace O'Brien , Robert Jasper , Sarah Scullen , Helen Jenne

A common problem of classical neural network architectures is that additional information or expert knowledge cannot be naturally integrated into the learning process. To overcome this limitation, we propose a two-step approach consisting…

Machine Learning · Computer Science 2024-06-17 Florian Seiffarth

We show experimentally that the accuracy of a trained neural network can be predicted surprisingly well by looking only at its weights, without evaluating it on input data. We motivate this task and introduce a formal setting for it. Even…

Machine Learning · Statistics 2021-04-12 Thomas Unterthiner , Daniel Keysers , Sylvain Gelly , Olivier Bousquet , Ilya Tolstikhin

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

In the brain, the structure of a network of neurons defines how these neurons implement the computations that underlie the mind and the behavior of animals and humans. Provided that we can describe the network of neurons as a graph, we can…

Computer Vision and Pattern Recognition · Computer Science 2019-07-03 Gustavo Borges Moreno e Mello , Vibeke Devold Valderhaug , Sidney Pontes-Filho , Evi Zouganeli , Ioanna Sandvig , Stefano Nichele

We present probabilistic neural programs, a framework for program induction that permits flexible specification of both a computational model and inference algorithm while simultaneously enabling the use of deep neural networks.…

Neural and Evolutionary Computing · Computer Science 2016-12-05 Kenton W. Murray , Jayant Krishnamurthy

Deep neural network models have been proven to be very successful in image classification tasks, also for medical diagnosis, but their main concern is its lack of interpretability. They use to work as intuition machines with high…

Machine Learning · Computer Science 2019-04-26 Jordi de la Torre , Aida Valls , Domenec Puig
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