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Learning useful representations with little or no supervision is a key challenge in artificial intelligence. We provide an in-depth review of recent advances in representation learning with a focus on autoencoder-based models. To organize…

机器学习 · 计算机科学 2018-12-13 Michael Tschannen , Olivier Bachem , Mario Lucic

We consider the general class of time-homogeneous stochastic dynamical systems, both discrete and continuous, and study the problem of learning a representation of the state that faithfully captures its dynamics. This is instrumental to…

机器学习 · 计算机科学 2024-03-15 Vladimir R. Kostic , Pietro Novelli , Riccardo Grazzi , Karim Lounici , Massimiliano Pontil

We explore the role of torsion in hybrid deep learning models that incorporate topological data analysis, focusing on autoencoders. While most TDA tools use field coefficients, this conceals torsional features present in integer homology.…

代数拓扑 · 数学 2025-09-22 Maria Walch

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 give an algorithm that learns a representation of data through compression. The algorithm 1) predicts bits sequentially from those previously seen and 2) has a structure and a number of computations similar to an autoencoder. The…

计算机视觉与模式识别 · 计算机科学 2011-08-05 Karol Gregor , Yann LeCun

In lifelong learning, tasks (or classes) to be learned arrive sequentially over time in arbitrary order. During training, knowledge from previous tasks can be captured and transferred to subsequent ones to improve sample efficiency. We…

机器学习 · 计算机科学 2022-03-02 Xinyuan Cao , Weiyang Liu , Santosh S. Vempala

Neural networks embed the geometric structure of a data manifold lying in a high-dimensional space into latent representations. Ideally, the distribution of the data points in the latent space should depend only on the task, the data, the…

Computational topology provides a tool, persistent homology, to extract quantitative descriptors from structured objects (images, graphs, point clouds, etc). These descriptors can then be involved in optimization problems, typically as a…

计算几何 · 计算机科学 2026-03-27 Mathieu Carriere , Yuichi Ike , Théo Lacombe , Naoki Nishikawa

One of the main drawbacks of the practical use of neural networks is the long time required in the training process. Such a training process consists of an iterative change of parameters trying to minimize a loss function. These changes are…

机器学习 · 计算机科学 2024-03-14 Rocio Gonzalez-Diaz , Miguel A. Gutiérrez-Naranjo , Eduardo Paluzo-Hidalgo

Generative data augmentation with latent diffusion models is a promising strategy for addressing class imbalance in medical imaging, yet current approaches focus on perceptual fidelity and domain-specific autoencoder fine-tuning while…

计算机视觉与模式识别 · 计算机科学 2026-05-19 Mischa Dombrowski , Felix Nützel , Bernhard Kainz

Modern data-driven machine learning system designs exploit inductive biases in architectural structure, invariance and equivariance requirements, task-specific loss functions, and computational optimization tools. Previous works have…

神经与进化计算 · 计算机科学 2025-03-04 Achref Jaziri , Sina Ditzel , Iuliia Pliushch , Visvanathan Ramesh

We investigate recurrent neural networks with asymmetric interactions and demonstrate that the inclusion of self-couplings or sparse excitatory inter-module connections leads to the emergence of a densely connected manifold of dynamically…

无序系统与神经网络 · 物理学 2026-01-01 Davide Badalotti , Carlo Baldassi , Marc Mézard , Mattia Scardecchia , Riccardo Zecchina

Topology applied to real world data using persistent homology has started to find applications within machine learning, including deep learning. We present a differentiable topology layer that computes persistent homology based on level set…

Representation learning is a widely adopted framework for learning in data-scarce environments, aiming to extract common features from related tasks. While centralized approaches have been extensively studied, decentralized methods remain…

机器学习 · 计算机科学 2025-12-30 Donghwa Kang , Shana Moothedath

Many deep neural networks are susceptible to minute perturbations of images that have been carefully crafted to cause misclassification. Ideally, a robust classifier would be immune to small variations in input images, and a number of…

计算机视觉与模式识别 · 计算机科学 2022-02-08 Eashan Adhikarla , Dan Luo , Brian D. Davison

Federated learning is an emerging research paradigm enabling collaborative training of machine learning models among different organizations while keeping data private at each institution. Despite recent progress, there remain fundamental…

机器学习 · 计算机科学 2022-04-15 Liangqiong Qu , Yuyin Zhou , Paul Pu Liang , Yingda Xia , Feifei Wang , Ehsan Adeli , Li Fei-Fei , Daniel Rubin

With the widespread use of information technologies, information networks are becoming increasingly popular to capture complex relationships across various disciplines, such as social networks, citation networks, telecommunication networks,…

社会与信息网络 · 计算机科学 2018-07-20 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

This paper introduces a new lifelong learning solution where a single model is trained for a sequence of tasks. The main challenge that vision systems face in this context is catastrophic forgetting: as they tend to adapt to the most…

计算机视觉与模式识别 · 计算机科学 2018-07-19 Amal Rannen Triki , Rahaf Aljundi , Mathew B. Blaschko , Tinne Tuytelaars

Recent empirical works have successfully used unlabeled data to learn feature representations that are broadly useful in downstream classification tasks. Several of these methods are reminiscent of the well-known word2vec embedding…

机器学习 · 计算机科学 2019-02-26 Sanjeev Arora , Hrishikesh Khandeparkar , Mikhail Khodak , Orestis Plevrakis , Nikunj Saunshi

We investigate how symmetries present in datasets affect the structure of the latent space learned by Variational Autoencoders (VAEs). By training VAEs on data originating from simple mechanical systems and particle collisions, we analyze…

机器学习 · 计算机科学 2025-04-08 Veronica Sanz