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Manifold regularization is a commonly used technique in semi-supervised learning. It enforces the classification rule to be smooth with respect to the data-manifold. Here, we derive sample complexity bounds based on pseudo-dimension for…

Machine Learning · Computer Science 2020-07-31 Alexander Mey , Tom Viering , Marco Loog

Modern convolutional neural networks (CNNs) are able to achieve human-level object classification accuracy on specific tasks, and currently outperform competing models in explaining complex human visual representations. However, the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Joshua C. Peterson , Paul Soulos , Aida Nematzadeh , Thomas L. Griffiths

We present the SCR framework for enhancing the training of graph neural networks (GNNs) with consistency regularization. Regularization is a set of strategies used in Machine Learning to reduce overfitting and improve the generalization…

Social and Information Networks · Computer Science 2022-06-14 Chenhui Zhang , Yufei He , Yukuo Cen , Zhenyu Hou , Wenzheng Feng , Yuxiao Dong , Xu Cheng , Hongyun Cai , Feng He , Jie Tang

Deep neural networks are learning models with a very high capacity and therefore prone to over-fitting. Many regularization techniques such as Dropout, DropConnect, and weight decay all attempt to solve the problem of over-fitting by…

Machine Learning · Computer Science 2016-12-06 Armen Aghajanyan

In this paper, we extend a class of celebrated regularization techniques originally proposed for feed-forward neural networks, namely Input Mixup (Zhang et al., 2017) and Manifold Mixup (Verma et al., 2018), to the realm of Recurrent Neural…

Computation and Language · Computer Science 2020-12-15 Armin Karamzade , Amir Najafi , Seyed Abolfazl Motahari

Deep learning approaches to 3D shape segmentation are typically formulated as a multi-class labeling problem. Existing models are trained for a fixed set of labels, which greatly limits their flexibility and adaptivity. We opt for top-down…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Fenggen Yu , Kun Liu , Yan Zhang , Chenyang Zhu , Kai Xu

Supervised dimensionality reduction has emerged as an important theme in the last decade. Despite the plethora of models and formulations, there is a lack of a simple model which aims to project the set of patterns into a space defined by…

Machine Learning · Statistics 2016-10-28 Anthony O. Smith , Anand Rangarajan

The purpose of this article is to present a new regularization technique of quasi-plurisubharmoinc functions on a compact Kaehler manifold. The idea is to regularize the function on local coordinate balls first, and then glue each piece…

Differential Geometry · Mathematics 2017-05-23 Long Li

We propose an approach that connects recurrent networks with different orders of hidden interaction with regular grammars of different levels of complexity. We argue that the correspondence between recurrent networks and formal…

Machine Learning · Computer Science 2019-11-13 Qinglong Wang , Kaixuan Zhang , Xue Liu , C. Lee Giles

We study the problem of supervised learning for both binary and multiclass classification from a unified geometric perspective. In particular, we propose a geometric regularization technique to find the submanifold corresponding to a robust…

Machine Learning · Computer Science 2016-02-12 Qinxun Bai , Steven Rosenberg , Zheng Wu , Stan Sclaroff

We investigate how neural networks can learn and process languages with hierarchical, compositional semantics. To this end, we define the artificial task of processing nested arithmetic expressions, and study whether different types of…

Computation and Language · Computer Science 2018-04-23 Dieuwke Hupkes , Sara Veldhoen , Willem Zuidema

As AI models expand in size, it has become increasingly challenging to deploy federated learning (FL) on resource-constrained edge devices. To tackle this issue, split federated learning (SFL) has emerged as an FL framework with reduced…

Machine Learning · Computer Science 2025-04-22 Zheng Lin , Wei Wei , Zhe Chen , Chan-Tong Lam , Xianhao Chen , Yue Gao , Jun Luo

The "CNN-RNN" design pattern is increasingly widely applied in a variety of image annotation tasks including multi-label classification and captioning. Existing models use the weakly semantic CNN hidden layer or its transform as the image…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Feng Liu , Tao Xiang , Timothy M. Hospedales , Wankou Yang , Changyin Sun

When approaching the semantic segmentation of overhead imagery in the decimeter spatial resolution range, successful strategies usually combine powerful methods to learn the visual appearance of the semantic classes (e.g. convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-08-24 Michele Volpi , Devis Tuia

Designing a convolution for a spherical neural network requires a delicate tradeoff between efficiency and rotation equivariance. DeepSphere, a method based on a graph representation of the sampled sphere, strikes a controllable balance…

Machine Learning · Computer Science 2021-01-01 Michaël Defferrard , Martino Milani , Frédérick Gusset , Nathanaël Perraudin

Training Deep Convolutional Neural Networks (CNNs) is based on the notion of using multiple kernels and non-linearities in their subsequent activations to extract useful features. The kernels are used as general feature extractors without…

Computer Vision and Pattern Recognition · Computer Science 2020-11-13 Alexandros Stergiou , Ronald Poppe , Remco C. Veltkamp

Deep neural networks are widely used prediction algorithms whose performance often improves as the number of weights increases, leading to over-parametrization. We consider a two-layered neural network whose first layer is frozen while the…

Machine Learning · Computer Science 2023-04-10 Roman Worschech , Bernd Rosenow

We propose a novel way to improve the generalisation capacity of deep learning models by reducing high correlations between neurons. For this, we present two regularisation terms computed from the weights of a minimum spanning tree of the…

Machine Learning · Computer Science 2023-08-10 Rubén Ballester , Carles Casacuberta , Sergio Escalera

Fitting an unknown number of hyperplanes to data is a fundamental yet challenging problem in machine learning, characterized by its non-convexity, non-differentiability, and unknown model order. Existing approaches often struggle with local…

Machine Learning · Computer Science 2026-05-28 Zhiqin Cheng , Yu Zhan , Mingjin Zhang , Lingbo Liu , Liang Lin

Deep learning based on deep neural networks of various structures and architectures has been powerful in many practical applications, but it lacks enough theoretical verifications. In this paper, we consider a family of deep convolutional…

Machine Learning · Computer Science 2020-07-29 Zhiying Fang , Han Feng , Shuo Huang , Ding-Xuan Zhou
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