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We consider active, semi-supervised learning in an offline transductive setting. We show that a previously proposed error bound for active learning on undirected weighted graphs can be generalized by replacing graph cut with an arbitrary…

Machine Learning · Computer Science 2012-02-20 Andrew Guillory , Jeff A. Bilmes

Equilibrium states of large layered neural networks with differentiable activation function and a single, linear output unit are investigated using the replica formalism. The quenched free energy of a student network with a very large…

Disordered Systems and Neural Networks · Physics 2009-10-31 Martin Ahr , Michael Biehl , Robert Urbanczik

Neural networks, a central tool in machine learning, have demonstrated remarkable, high fidelity performance on image recognition and classification tasks. These successes evince an ability to accurately represent high dimensional…

Machine Learning · Statistics 2023-02-08 Grant M. Rotskoff , Eric Vanden-Eijnden

We examine learning dynamics in deep recurrent networks, focusing on the behavior near the boundary in the depth-width plane separating under- from over-parametrized networks, known as the interpolation transition. The training data are…

Disordered Systems and Neural Networks · Physics 2025-05-22 John Hertz , Joanna Tyrcha

We design and analyze a new paradigm for building supervised learning networks, driven only by local optimization rules without relying on a global error function. Traditional neural networks with a fixed topology are made up of identical…

Adaptation and Self-Organizing Systems · Physics 2024-10-04 S. Barland , L. Gil

Unsupervised learning is the most challenging problem in machine learning and especially in deep learning. Among many scenarios, we study an unsupervised learning problem of high economic value --- learning to predict without costly pairing…

Machine Learning · Computer Science 2016-06-16 Jianshu Chen , Po-Sen Huang , Xiaodong He , Jianfeng Gao , Li Deng

Self-supervised learning can significantly improve the performance of downstream tasks, however, the dimensions of learned representations normally lack explicit physical meanings. In this work, we propose a novel self-supervised approach…

Audio and Speech Processing · Electrical Eng. & Systems 2022-01-19 Yifan Sun , Xihong Wu

Self-supervised learning is currently gaining a lot of attention, as it allows neural networks to learn robust representations from large quantities of unlabeled data. Additionally, multi-task learning can further improve representation…

Machine Learning · Computer Science 2020-12-07 Franco Manessi , Alessandro Rozza

We consider the approximation of functions by 2-layer neural networks with a small number of hidden weights based on the squared loss and small datasets. Due to the highly non-convex energy landscape, gradient-based training often suffers…

Machine Learning · Computer Science 2025-08-14 Johannes Hertrich , Sebastian Neumayer

Feedback-driven recurrent spiking neural networks (RSNNs) are powerful computational models that can mimic dynamical systems. However, the presence of a feedback loop from the readout to the recurrent layer de-stabilizes the learning…

Artificial Intelligence · Computer Science 2022-05-30 Ankita Paul , Stefan Wagner , Anup Das

This thesis investigates unsupervised time series representation learning for sequence prediction problems, i.e. generating nice-looking input samples given a previous history, for high dimensional input sequences by decoupling the static…

Machine Learning · Computer Science 2018-04-19 Markus Beissinger

We consider graph representation learning in a self-supervised manner. Graph neural networks (GNNs) use neighborhood aggregation as a core component that results in feature smoothing among nodes in proximity. While successful in various…

Machine Learning · Computer Science 2021-07-20 Wei Zhuo , Guang Tan

We carry out an information-theoretical analysis of a two-layer neural network trained from input-output pairs generated by a teacher network with matching architecture, in overparametrized regimes. Our results come in the form of bounds…

Machine Learning · Computer Science 2023-07-13 Francesco Camilli , Daria Tieplova , Jean Barbier

Graph Neural Networks (GNNs) are a framework for graph representation learning, where a model learns to generate low dimensional node embeddings that encapsulate structural and feature-related information. GNNs are usually trained in an…

Machine Learning · Computer Science 2020-12-15 Davide Buffelli , Fabio Vandin

Recurrent Neural Network (RNN) is a fundamental structure in deep learning. Recently, some works study the training process of over-parameterized neural networks, and show that over-parameterized networks can learn functions in some notable…

Machine Learning · Computer Science 2022-01-27 Lifu Wang , Bo Shen , Bo Hu , Xing Cao

In the context of managing distributed energy resources (DERs) within distribution networks (DNs), this work focuses on the task of developing local controllers. We propose an unsupervised learning framework to train functions that can…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Zhenyi Yuan , Guido Cavraro , Ahmed S. Zamzam , Jorge Cortés

This paper presents a novel information-theoretic perspective on generalization in machine learning by framing the learning problem within the context of lossy compression and applying finite blocklength analysis. In our approach, the…

Machine Learning · Computer Science 2026-02-05 Kosuke Sugiyama , Masato Uchida

We present a supervised learning framework of training generative models for density estimation. Generative models, including generative adversarial networks, normalizing flows, variational auto-encoders, are usually considered as…

Machine Learning · Computer Science 2023-10-24 Yanfang Liu , Minglei Yang , Zezhong Zhang , Feng Bao , Yanzhao Cao , Guannan Zhang

Conditional GANs are at the forefront of natural image synthesis. The main drawback of such models is the necessity for labeled data. In this work we exploit two popular unsupervised learning techniques, adversarial training and…

Machine Learning · Computer Science 2019-04-10 Ting Chen , Xiaohua Zhai , Marvin Ritter , Mario Lucic , Neil Houlsby

Implicit generative models have the capability to learn arbitrary complex data distributions. On the downside, training requires telling apart real data from artificially-generated ones using adversarial discriminators, leading to unstable…

Machine Learning · Computer Science 2024-02-27 José Manuel de Frutos , Pablo M. Olmos , Manuel A. Vázquez , Joaquín Míguez