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Understanding the training dynamics of deep learning models is perhaps a necessary step toward demystifying the effectiveness of these models. In particular, how do data from different classes gradually become separable in their feature…

机器学习 · 计算机科学 2021-10-13 Jiayao Zhang , Hua Wang , Weijie J. Su

A feature learning task involves training models that are capable of inferring good representations (transformations of the original space) from input data alone. When working with limited or unlabelled data, and also when multiple visual…

计算机视觉与模式识别 · 计算机科学 2018-11-02 Gabriel B. Cavallari , Leonardo Sampaio Ferraz Ribeiro , Moacir Antonelli Ponti

Learning in Deep Neural Networks (DNN) takes place by minimizing a non-convex high-dimensional loss function, typically by a stochastic gradient descent (SGD) strategy. The learning process is observed to be able to find good minimizers…

机器学习 · 计算机科学 2020-03-12 Carlo Baldassi , Fabrizio Pittorino , Riccardo Zecchina

Conventionally, autoencoders are unsupervised representation learning tools. In this work, we propose a novel discriminative autoencoder. Use of supervised discriminative learning ensures that the learned representation is robust to…

计算机视觉与模式识别 · 计算机科学 2019-12-30 Anupriya Gogna , Angshul Majumdar

Compressed sensing techniques enable efficient acquisition and recovery of sparse, high-dimensional data signals via low-dimensional projections. In this work, we propose Uncertainty Autoencoders, a learning framework for unsupervised…

机器学习 · 统计学 2019-04-15 Aditya Grover , Stefano Ermon

We implement stacked denoising autoencoders, a class of neural networks that are capable of learning powerful representations of high dimensional data. We describe stochastic gradient descent for unsupervised training of autoencoders, as…

机器学习 · 计算机科学 2021-02-17 Jason Liang , Keith Kelly

Deep linear networks (DLNs) are used as an analytically tractable model of the training dynamics of deep neural networks. While gradient descent in DLNs is known to exhibit saddle-to-saddle dynamics, the impact of stochastic gradient…

机器学习 · 计算机科学 2026-04-09 Guillaume Corlouer , Avi Semler , Alexander Strang , Alexander Gietelink Oldenziel

Autoencoders are a popular model in many branches of machine learning and lossy data compression. However, their fundamental limits, the performance of gradient methods and the features learnt during optimization remain poorly understood,…

机器学习 · 计算机科学 2023-01-12 Alexander Shevchenko , Kevin Kögler , Hamed Hassani , Marco Mondelli

Autoencoders, which consist of an encoder and a decoder, are widely used in machine learning for dimension reduction of high-dimensional data. The encoder embeds the input data manifold into a lower-dimensional latent space, while the…

数值分析 · 数学 2024-03-29 Juliane Braunsmann , Marko Rajković , Martin Rumpf , Benedikt Wirth

Learning on synthetic data and transferring the resulting properties to their real counterparts is an important challenge for reducing costs and increasing safety in machine learning. In this work, we focus on autoencoder architectures and…

计算机视觉与模式识别 · 计算机科学 2022-04-04 Steve Dias Da Cruz , Bertram Taetz , Thomas Stifter , Didier Stricker

We present a representation learning method that learns features at multiple different levels of scale. Working within the unsupervised framework of denoising autoencoders, we observe that when the input is heavily corrupted during…

机器学习 · 计算机科学 2015-04-14 Krzysztof J. Geras , Charles Sutton

Deep learning (DL)-based autoencoder is a potential architecture to implement end-to-end communication systems. In this letter, we first give a brief introduction to the autoencoder-represented communication system. Then, we propose a novel…

信息论 · 计算机科学 2018-07-09 Xiao Chen , Liang Wu , Zaichen Zhang

Autoencoders are a widespread tool in machine learning to transform high-dimensional data into a lowerdimensional representation which still exhibits the essential characteristics of the input. The encoder provides an embedding from the…

机器学习 · 计算机科学 2021-04-28 Juliane Braunsmann , Marko Rajković , Martin Rumpf , Benedikt Wirth

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

数值分析 · 数学 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

We develop data-driven methods for incorporating physical information for priors to learn parsimonious representations of nonlinear systems arising from parameterized PDEs and mechanics. Our approach is based on Variational Autoencoders…

机器学习 · 计算机科学 2021-03-17 Ryan Lopez , Paul J. Atzberger

Supervised manifold learning methods learn data representations by preserving the geometric structure of data while enhancing the separation between data samples from different classes. In this work, we propose a theoretical study of…

机器学习 · 计算机科学 2018-01-08 Elif Vural , Christine Guillemot

The dynamics of gradient-based training in neural networks often exhibit nontrivial structures; hence, understanding them remains a central challenge in theoretical machine learning. In particular, a concept of feature unlearning, in which…

机器学习 · 计算机科学 2026-02-10 Shota Imai , Sota Nishiyama , Masaaki Imaizumi

Understanding the dynamics of neural networks in different width regimes is crucial for improving their training and performance. We present an exact solution for the learning dynamics of a one-hidden-layer linear network, with…

机器学习 · 计算机科学 2025-02-24 Yizhou Xu , Liu Ziyin

Autoencoders have been used for finding interpretable and disentangled features underlying neural network representations in both image and text domains. While the efficacy and pitfalls of such methods are well-studied in vision, there is a…

机器学习 · 计算机科学 2025-02-06 Abhinav Menon , Manish Shrivastava , David Krueger , Ekdeep Singh Lubana

Neural networks transform high-dimensional data into compact, structured representations, often modeled as elements of a lower dimensional latent space. In this paper, we present an alternative interpretation of neural models as dynamical…

机器学习 · 计算机科学 2026-03-26 Marco Fumero , Luca Moschella , Emanuele Rodolà , Francesco Locatello