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Back propagation based visualizations have been proposed to interpret deep neural networks (DNNs), some of which produce interpretations with good visual quality. However, there exist doubts about whether these intuitive visualizations are…

Machine Learning · Computer Science 2021-04-15 Huiqi Deng , Na Zou , Weifu Chen , Guocan Feng , Mengnan Du , Xia Hu

We propose a new type of hidden layer for a multilayer perceptron, and demonstrate that it obtains the best reported performance for an MLP on the MNIST dataset.

Machine Learning · Statistics 2013-01-23 Ian J. Goodfellow

The backpropagation algorithm has experienced remarkable success in training large-scale artificial neural networks; however, its biological plausibility has been strongly criticized, and it remains an open question whether the brain…

Neural and Evolutionary Computing · Computer Science 2026-03-27 Bariscan Bozkurt , Cengiz Pehlevan , Alper T Erdogan

Deep learning has emerged as a versatile tool for a wide range of NLP tasks, due to its superior capacity in representation learning. But its applicability is limited by the reliance on annotated examples, which are difficult to produce at…

Computation and Language · Computer Science 2018-08-28 Hai Wang , Hoifung Poon

This study investigates the contribution of Intrinsic Mode Functions (IMFs) derived from economic time series to the predictive performance of neural network models, specifically Multilayer Perceptrons (MLP) and Long Short-Term Memory…

Econometrics · Economics 2025-12-16 Pablo Hidalgo , Julio E. Sandubete , Agustín García-García

We consider regression models involving multilayer perceptrons (MLP) with one hidden layer and a Gaussian noise. The estimation of the parameters of the MLP can be done by maximizing the likelihood of the model. In this framework, it is…

Statistics Theory · Mathematics 2008-02-22 Joseph Rynkiewicz

To fill the gap between accurate (and expensive) ab initio calculations and efficient atomistic simulations based on empirical interatomic potentials, a new class of descriptions of atomic interactions has emerged and been widely applied;…

Materials Science · Physics 2024-03-28 Tongqi Wen , Linfeng Zhang , Han Wang , Weinan E , David J. Srolovitz

Recent empirical evidence shows that LLM representations encode human-interpretable concepts. Nevertheless, the mechanisms by which these representations emerge remain largely unexplored. To shed further light on this, we introduce a novel…

Machine Learning · Computer Science 2026-03-03 Yuhang Liu , Dong Gong , Yichao Cai , Erdun Gao , Zhen Zhang , Biwei Huang , Mingming Gong , Anton van den Hengel , Javen Qinfeng Shi

The practical application of deep neural networks are still limited by their lack of transparency. One of the efforts to provide explanation for decisions made by artificial intelligence (AI) is the use of saliency or heat maps highlighting…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Erico Tjoa , Guan Cuntai

We develop the use of mutual information (MI), a well-established metric in information theory, to interpret the inner workings of deep learning models. To accurately estimate MI from a finite number of samples, we present GMM-MI…

Data Analysis, Statistics and Probability · Physics 2023-04-12 Davide Piras , Hiranya V. Peiris , Andrew Pontzen , Luisa Lucie-Smith , Ningyuan Guo , Brian Nord

Word embeddings have demonstrated strong performance on NLP tasks. However, lack of interpretability and the unsupervised nature of word embeddings have limited their use within computational social science and digital humanities. We…

Computation and Language · Computer Science 2019-09-05 Miriam Hurtado Bodell , Martin Arvidsson , Måns Magnusson

We propose a new representation of visual data that disentangles object position from appearance. Our method, termed Deep Latent Particles (DLP), decomposes the visual input into low-dimensional latent ``particles'', where each particle is…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Tal Daniel , Aviv Tamar

Distributed learning of probabilistic models from multiple data repositories with minimum communication is increasingly important. We study a simple communication-efficient learning framework that first calculates the local maximum…

Machine Learning · Statistics 2014-10-13 Qiang Liu , Alexander Ihler

Multi-layer perceptron (MLP) is a fundamental component of deep learning, and recent MLP-based architectures, especially the MLP-Mixer, have achieved significant empirical success. Nevertheless, our understanding of why and how the…

Machine Learning · Computer Science 2024-05-08 Tomohiro Hayase , Ryo Karakida

Computational image reconstruction algorithms generally produce a single image without any measure of uncertainty or confidence. Regularized Maximum Likelihood (RML) and feed-forward deep learning approaches for inverse problems typically…

Machine Learning · Computer Science 2020-12-18 He Sun , Katherine L. Bouman

Natural language is inherently a discrete symbolic representation of human knowledge. Recent advances in machine learning (ML) and in natural language processing (NLP) seem to contradict the above intuition: discrete symbols are fading…

Computation and Language · Computer Science 2020-03-02 Lorenzo Ferrone , Fabio Massimo Zanzotto

Partial Multi-label Learning (PML) is a type of weakly supervised learning where each training instance corresponds to a set of candidate labels, among which only some are true. In this paper, we introduce \our{}, a novel probabilistic…

Machine Learning · Computer Science 2024-03-13 Łukasz Struski , Adam Pardyl , Jacek Tabor , Bartosz Zieliński

Recent work has shown that purely quadratic functions can replace MLPs in transformers with no significant loss in performance, while enabling new methods of interpretability based on linear algebra. In this work, we theoretically derive…

Machine Learning · Computer Science 2025-02-04 Nora Belrose , Alice Rigg

We revisit logistic regression and its nonlinear extensions, including multilayer feedforward neural networks, by showing that these classifiers can be viewed as converting input or higher-level features into Dempster-Shafer mass functions…

Machine Learning · Computer Science 2019-12-13 Thierry Denoeux

Interpretability benefits the theoretical understanding of representations. Existing word embeddings are generally dense representations. Hence, the meaning of latent dimensions is difficult to interpret. This makes word embeddings like a…

Computation and Language · Computer Science 2023-06-27 Minxue Xia , Hao Zhu
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