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High quality explanations of neural networks (NNs) should exhibit two key properties. Completeness ensures that they accurately reflect a network's function and interpretability makes them understandable to humans. Many existing methods…

Machine Learning · Computer Science 2025-03-20 Nolan Dey , Eric Taylor , Alexander Wong , Bryan Tripp , Graham W. Taylor

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

Neurons and Cognition · Quantitative Biology 2020-12-02 Hui Wei

The inner workings of neural networks can be better understood if we can fully decipher the information encoded in neural activations. In this paper, we argue that this information is embodied by the subset of inputs that give rise to…

Machine Learning · Computer Science 2024-11-05 Xinting Huang , Madhur Panwar , Navin Goyal , Michael Hahn

In this work, we propose activation functions for neuronal networks that are refinable and sum the identity. This new class of activation functions allows the insertion of new layers between existing ones and/or the increase of neurons in a…

Numerical Analysis · Mathematics 2025-05-07 Sergio López-Ureña

Deep neural networks achieve outstanding results in a large variety of tasks, often outperforming human experts. However, a known limitation of current neural architectures is the poor accessibility to understand and interpret the network…

Computer Vision and Pattern Recognition · Computer Science 2022-03-08 Nicola Garau , Niccolò Bisagno , Zeno Sambugaro , Nicola Conci

Representation learning algorithms offer the opportunity to learn invariant representations of the input data with regard to nuisance factors. Many authors have leveraged such strategies to learn fair representations, i.e., vectors where…

Machine Learning · Computer Science 2025-07-16 Mattia Cerrato , Marius Köppel , Roberto Esposito , Stefan Kramer

The success of recent deep convolutional neural networks (CNNs) depends on learning hidden representations that can summarize the important factors of variation behind the data. However, CNNs often criticized as being black boxes that lack…

Computer Vision and Pattern Recognition · Computer Science 2018-06-27 Bolei Zhou , David Bau , Aude Oliva , Antonio Torralba

We study the use of binary activated neural networks as interpretable and explainable predictors in the context of regression tasks on tabular data; more specifically, we provide guarantees on their expressiveness, present an approach based…

Machine Learning · Computer Science 2024-06-11 Benjamin Leblanc , Pascal Germain

Activation functions play a decisive role in determining the capacity of Deep Neural Networks as they enable neural networks to capture inherent nonlinearities present in data fed to them. The prior research on activation functions…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Jamshaid Ul Rahman , Faiza Makhdoom , Dianchen Lu

Many activation functions have been proposed in the past, but selecting an adequate one requires trial and error. We propose a new methodology of designing activation functions within a neural network at each layer. We call this technique…

Machine Learning · Statistics 2017-02-28 Mark Harmon , Diego Klabjan

Modern neural networks (NNs), trained on extensive raw sentence data, construct distributed representations by compressing individual words into dense, continuous, high-dimensional vectors. These representations are expected to capture…

Computation and Language · Computer Science 2024-12-04 Zhu Liu

While neural networks are powerful approximators used to classify or embed data into lower dimensional spaces, they are often regarded as black boxes with uninterpretable features. Here we propose Graph Spectral Regularization for making…

The Boltzmann equation, a fundamental model in kinetic theory, describes the evolution of particle distribution functions through a nonlinear, high-dimensional collision operator. However, its numerical solution remains computationally…

Machine Learning · Computer Science 2026-03-09 Jae Yong Lee , Gwang Jae Jung , Byung Chan Lim , Hyung Ju Hwang

We propose stochastic, non-parametric activation functions that are fully learnable and individual to each neuron. Complexity and the risk of overfitting are controlled by placing a Gaussian process prior over these functions. The result is…

Machine Learning · Statistics 2017-12-01 Sebastian Urban , Marcus Basalla , Patrick van der Smagt

We propose to explain the predictions of a deep neural network, by pointing to the set of what we call representer points in the training set, for a given test point prediction. Specifically, we show that we can decompose the pre-activation…

Machine Learning · Computer Science 2018-11-27 Chih-Kuan Yeh , Joon Sik Kim , Ian E. H. Yen , Pradeep Ravikumar

This work presents a novel method of exploring human brain-visual representations, with a view towards replicating these processes in machines. The core idea is to learn plausible computational and biological representations by correlating…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Simone Palazzo , Concetto Spampinato , Isaak Kavasidis , Daniela Giordano , Joseph Schmidt , Mubarak Shah

Interpreting the inner workings of neural models is a key step in ensuring the robustness and trustworthiness of the models, but work on neural network interpretability typically faces a trade-off: either the models are too constrained to…

Computation and Language · Computer Science 2020-11-11 Phong Le , Willem Zuidema

Understanding the operation of biological and artificial networks remains a difficult and important challenge. To identify general principles, researchers are increasingly interested in surveying large collections of networks that are…

Machine Learning · Statistics 2022-01-14 Alex H. Williams , Erin Kunz , Simon Kornblith , Scott W. Linderman

The impressive performance of Convolutional Neural Networks (CNNs) when solving different vision problems is shadowed by their black-box nature and our consequent lack of understanding of the representations they build and how these…

Computer Vision and Pattern Recognition · Computer Science 2019-10-16 Ivet Rafegas , Maria Vanrell , Luis A. Alexandre , Guillem Arias

We propose to optimize the activation functions of a deep neural network by adding a corresponding functional regularization to the cost function. We justify the use of a second-order total-variation criterion. This allows us to derive a…

Machine Learning · Statistics 2019-02-04 Michael Unser
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