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Related papers: Complexity of Representations in Deep Learning

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Deep neural networks (DNNs) have demonstrated impressive performance on a wide array of tasks, but they are usually considered opaque since internal structure and learned parameters are not interpretable. In this paper, we re-examine the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-21 Yinpeng Dong , Hang Su , Jun Zhu , Fan Bao

Improving the classification of multi-class imbalanced data is more difficult than its two-class counterpart. In this paper, we use deep neural networks to train new representations of tabular multi-class data. Unlike the typically…

Machine Learning · Computer Science 2023-12-19 Damian Horna , Lango Mateusz , Jerzy Stefanowski

Despite the remarkable success of large large-scale neural networks, we still lack unified notation for thinking about and describing their representational spaces. We lack methods to reliably describe how their representations are…

Machine Learning · Computer Science 2025-06-02 Henry Conklin

Standard deep neural networks (DNNs) are commonly trained in an end-to-end fashion for specific tasks such as object recognition, face identification, or character recognition, among many examples. This specificity often leads to…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Raphaël Achddou , J. Matias di Martino , Guillermo Sapiro

In conventional deep learning, the number of neurons typically remains fixed during training. However, insights from biology suggest that the human hippocampus undergoes continuous neuron generation and pruning of neurons over the course of…

Machine Learning · Computer Science 2025-07-15 Taigo Sakai , Kazuhiro Hotta

Complex prediction models such as deep learning are the output from fitting machine learning, neural networks, or AI models to a set of training data. These are now standard tools in science. A key challenge with the current generation of…

Machine Learning · Computer Science 2022-10-21 Meng Liu , Tamal K. Dey , David F. Gleich

Learning representations of data is an important problem in statistics and machine learning. While the origin of learning representations can be traced back to factor analysis and multidimensional scaling in statistics, it has become a…

Machine Learning · Statistics 2019-11-27 Jianwen Xie , Ruiqi Gao , Erik Nijkamp , Song-Chun Zhu , Ying Nian Wu

It has been observed that the input space of deep neural network classifiers can exhibit `fragmentation', where the model function rapidly changes class as the input space is traversed. The severity of this fragmentation tends to follow the…

One of the most prominent attributes of Neural Networks (NNs) constitutes their capability of learning to extract robust and descriptive features from high dimensional data, like images. Hence, such an ability renders their exploitation as…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Ioannis Kansizoglou , Loukas Bampis , Antonios Gasteratos

This paper presents an empirical study on the weights of neural networks, where we interpret each model as a point in a high-dimensional space -- the neural weight space. To explore the complex structure of this space, we sample from a…

Computer Vision and Pattern Recognition · Computer Science 2020-02-14 Gabriel Eilertsen , Daniel Jönsson , Timo Ropinski , Jonas Unger , Anders Ynnerman

Deep neural networks have demonstrated superior performance in artificial intelligence applications, but the opaqueness of their inner working mechanism is one major drawback in their application. The prevailing unit-based interpretation is…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Lei Lyu , Chen Pang , Jihua Wang

With the growth of deep learning, how to describe deep neural networks unifiedly is becoming an important issue. We first formalize neural networks mathematically with their directed graph representations, and prove a generation theorem…

Machine Learning · Computer Science 2018-05-11 Yujian Li , Chuanhui Shan

We develop information geometric techniques to understand the representations learned by deep networks when they are trained on different tasks using supervised, meta-, semi-supervised and contrastive learning. We shed light on the…

Machine Learning · Computer Science 2023-07-25 Rahul Ramesh , Jialin Mao , Itay Griniasty , Rubing Yang , Han Kheng Teoh , Mark Transtrum , James P. Sethna , Pratik Chaudhari

In recent years, deep learning techniques revolutionized the way remote sensing data are processed. Classification of hyperspectral data is no exception to the rule, but has intrinsic specificities which make application of deep learning…

Machine Learning · Computer Science 2019-04-25 Nicolas Audebert , Bertrand Saux , Sébastien Lefèvre

Deep neural networks typically outperform more traditional machine learning models in their ability to classify complex data, and yet is not clear how the individual hidden layers of a deep network contribute to the overall classification…

Machine Learning · Computer Science 2022-10-03 Achim Schilling , Claus Metzner , Jonas Rietsch , Richard Gerum , Holger Schulze , Patrick Krauss

The success of neural networks builds to a large extent on their ability to create internal knowledge representations from real-world high-dimensional data, such as images, sound, or text. Approaches to extract and present these…

Artificial Intelligence · Computer Science 2023-01-03 Lars Holmberg , Paul Davidsson , Per Linde

A suitable similarity index for comparing learnt neural networks plays an important role in understanding the behaviour of the highly-nonlinear functions, and can provide insights on further theoretical analysis and empirical studies. We…

Machine Learning · Computer Science 2020-03-26 Shuai Tang , Wesley J. Maddox , Charlie Dickens , Tom Diethe , Andreas Damianou

Deep learning has proven itself as a successful set of models for learning useful semantic representations of data. These, however, are mostly implicitly learned as part of a classification task. In this paper we propose the triplet network…

Machine Learning · Computer Science 2018-12-05 Elad Hoffer , Nir Ailon

An important characteristic of neural networks is their ability to learn representations of the input data with effective features for prediction, which is believed to be a key factor to their superior empirical performance. To better…

Machine Learning · Computer Science 2022-06-06 Zhenmei Shi , Junyi Wei , Yingyu Liang

For many types of integrated circuits, accepting larger failure rates in computations can be used to improve energy efficiency. We study the performance of faulty implementations of certain deep neural networks based on pessimistic and…

Neural and Evolutionary Computing · Computer Science 2017-04-19 Jean-Charles Vialatte , François Leduc-Primeau
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