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In this work, we investigate the following: 1) how the routing affects the CapsNet model fitting; 2) how the representation using capsules helps discover global structures in data distribution, and; 3) how the learned data representation…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Ancheng Lin , Jun Li , Zhenyuan Ma

Label propagation is a powerful and flexible semi-supervised learning technique on graphs. Neural networks, on the other hand, have proven track records in many supervised learning tasks. In this work, we propose a training framework with a…

Machine Learning · Computer Science 2017-03-16 Thang D. Bui , Sujith Ravi , Vivek Ramavajjala

Graph kernels are kernel methods measuring graph similarity and serve as a standard tool for graph classification. However, the use of kernel methods for node classification, which is a related problem to graph representation learning, is…

Machine Learning · Computer Science 2019-10-08 Yu Tian , Long Zhao , Xi Peng , Dimitris N. Metaxas

Deep learning methods have predominantly been applied to large artificial neural networks. Despite their state-of-the-art performance, these large networks typically do not generalize well to datasets with limited sample sizes. In this…

Machine Learning · Statistics 2016-11-17 Eric Strobl , Shyam Visweswaran

Kernels for structured data are commonly obtained by decomposing objects into their parts and adding up the similarities between all pairs of parts measured by a base kernel. Assignment kernels are based on an optimal bijection between the…

Machine Learning · Computer Science 2019-08-20 Nils M. Kriege

Embedding-based neural topic models could explicitly represent words and topics by embedding them to a homogeneous feature space, which shows higher interpretability. However, there are no explicit constraints for the training of…

Computation and Language · Computer Science 2022-06-17 Wei Shao , Lei Huang , Shuqi Liu , Shihua Ma , Linqi Song

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

The Neural Tangent Kernel (NTK) has emerged as a powerful tool to provide memorization, optimization and generalization guarantees in deep neural networks. A line of work has studied the NTK spectrum for two-layer and deep networks with at…

Machine Learning · Statistics 2023-05-23 Simone Bombari , Mohammad Hossein Amani , Marco Mondelli

A particularly interesting instance of supervised learning with kernels is when each training example is associated with two objects, as in pairwise classification (Brunner et al., 2012), and in supervised learning of preference relations…

Machine Learning · Computer Science 2016-10-31 Giorgio Gnecco

Understanding the impact of data structure on the computational tractability of learning is a key challenge for the theory of neural networks. Many theoretical works do not explicitly model training data, or assume that inputs are drawn…

Machine Learning · Statistics 2022-05-23 Sebastian Goldt , Bruno Loureiro , Galen Reeves , Florent Krzakala , Marc Mézard , Lenka Zdeborová

Modern recommendation systems rely on real-valued embeddings of categorical features. Increasing the dimension of embedding vectors improves model accuracy but comes at a high cost to model size. We introduce a multi-layer embedding…

Machine Learning · Computer Science 2020-06-11 Benjamin Ghaemmaghami , Zihao Deng , Benjamin Cho , Leo Orshansky , Ashish Kumar Singh , Mattan Erez , Michael Orshansky

Recent advances in the field of network embedding have shown the low-dimensional network representation is playing a critical role in network analysis. However, most of the existing principles of network embedding do not incorporate…

Social and Information Networks · Computer Science 2018-03-06 Junliang Guo , Linli Xu , Xunpeng Huang , Enhong Chen

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

A main puzzle of deep neural networks (DNNs) revolves around the apparent absence of "overfitting", defined in this paper as follows: the expected error does not get worse when increasing the number of neurons or of iterations of gradient…

Machine Learning · Computer Science 2018-07-02 Tomaso Poggio , Qianli Liao , Brando Miranda , Andrzej Banburski , Xavier Boix , Jack Hidary

Kernels ensuing from tree ensembles such as random forest (RF) or gradient boosted trees (GBT), when used for kernel learning, have been shown to be competitive to their respective tree ensembles (particularly in higher dimensional…

Machine Learning · Statistics 2021-08-20 Dai Feng , Richard Baumgartner

Neural networks leverage robust internal representations in order to generalise. Learning them is difficult, and often requires a large training set that covers the data distribution densely. We study a common setting where our task is not…

Self-training is a classical approach in semi-supervised learning which is successfully applied to a variety of machine learning problems. Self-training algorithm generates pseudo-labels for the unlabeled examples and progressively refines…

Machine Learning · Computer Science 2020-06-22 Samet Oymak , Talha Cihad Gulcu

This paper studies semi-supervised graph classification, which is an important problem with various applications in social network analysis and bioinformatics. This problem is typically solved by using graph neural networks (GNNs), which…

Machine Learning · Computer Science 2022-05-24 Wei Ju , Junwei Yang , Meng Qu , Weiping Song , Jianhao Shen , Ming Zhang

Embedding knowledge graphs (KGs) into continuous vector spaces is a focus of current research. Early works performed this task via simple models developed over KG triples. Recent attempts focused on either designing more complicated triple…

Artificial Intelligence · Computer Science 2018-06-08 Boyang Ding , Quan Wang , Bin Wang , Li Guo

Performance optimization is an increasingly challenging but often repetitive task. While each platform has its quirks, the underlying code transformations rely on data movement and computational characteristics that recur across…

Software Engineering · Computer Science 2023-03-16 Lukas Trümper , Tal Ben-Nun , Philipp Schaad , Alexandru Calotoiu , Torsten Hoefler