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Representations in the hidden layers of Deep Neural Networks (DNN) are often hard to interpret since it is difficult to project them into an interpretable domain. Graph Convolutional Networks (GCN) allow this projection, but existing…

Computation and Language · Computer Science 2019-09-25 Robert Schwarzenberg , Marc Hübner , David Harbecke , Christoph Alt , Leonhard Hennig

The lack of interpretability and transparency are preventing economists from using advanced tools like neural networks in their empirical research. In this paper, we propose a class of interpretable neural network models that can achieve…

Econometrics · Economics 2020-12-01 Yucheng Yang , Zhong Zheng , Weinan E

In this paper, we consider the joint task of simultaneously optimizing (i) the weights of a deep neural network, (ii) the number of neurons for each hidden layer, and (iii) the subset of active input features (i.e., feature selection).…

Machine Learning · Statistics 2017-02-14 Simone Scardapane , Danilo Comminiello , Amir Hussain , Aurelio Uncini

We propose a graph spectrum-based Gaussian process for prediction of signals defined on nodes of the graph. The model is designed to capture various graph signal structures through a highly adaptive kernel that incorporates a flexible…

Machine Learning · Computer Science 2020-10-29 Yin-Cong Zhi , Yin Cheng Ng , Xiaowen Dong

We introduce Spectral NSR, a fully spectral neuro-symbolic reasoning framework that embeds logical rules as spectral templates and performs inference directly in the graph spectral domain. By leveraging graph signal processing (GSP) and…

Artificial Intelligence · Computer Science 2025-09-10 Andrew Kiruluta , Priscilla Burity

We introduce a novel regularization approach for deep learning that incorporates and respects the underlying graphical structure of the neural network. Existing regularization methods often focus on dropping/penalizing weights in a global…

Machine Learning · Statistics 2020-08-18 Edric Tam , David Dunson

We introduce an unsupervised graph embedding that trades off local node similarity and connectivity, and global structure. The embedding is based on a generalized graph Laplacian, whose eigenvectors compactly capture both network structure…

Machine Learning · Computer Science 2020-10-01 Shay Deutsch , Stefano Soatto

Graph-based representations play a key role in machine learning. The fundamental step in these representations is the association of a graph structure to a dataset. In this paper, we propose a method that aims at finding a block sparse…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Stefania Sardellitti , Sergio Barbarossa , Paolo Di Lorenzo

Graph Neural Networks (GNNs) play a pivotal role in graph-based tasks for their proficiency in representation learning. Among the various GNN methods, spectral GNNs employing polynomial filters have shown promising performance on tasks…

Machine Learning · Computer Science 2025-01-09 Haipeng Ding , Zhewei Wei , Yuhang Ye

Many machine learning algorithms for tabular data produce black-box models, which prevent users from understanding the rationale behind the model predictions. In their unconstrained form, graph neural networks fall into this category, and…

Machine Learning · Computer Science 2024-08-15 Amr Alkhatib , Henrik Boström

Networks with a prescribed power-law scaling in the spectrum of the graph Laplacian can be generated by evolutionary optimization. The Laplacian spectrum encodes the dynamical behavior of many important processes. Here, the networks are…

Physics and Society · Physics 2015-08-28 Steffen Karalus , Joachim Krug

Contrastive learning has emerged as a premier method for learning representations with or without supervision. Recent studies have shown its utility in graph representation learning for pre-training. Despite successes, the understanding of…

Machine Learning · Computer Science 2023-02-07 Amur Ghose , Yingxue Zhang , Jianye Hao , Mark Coates

The spectrum of the normalized graph Laplacian yields a very comprehensive set of invariants of a graph. In order to understand the information contained in those invariants better, we systematically investigate the behavior of this…

Combinatorics · Mathematics 2012-10-19 Anirban Banerjee , Jürgen Jost

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

Recognizing emotions using few attribute dimensions such as arousal, valence and dominance provides the flexibility to effectively represent complex range of emotional behaviors. Conventional methods to learn these emotional descriptors…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-15 Srinivas Parthasarathy , Carlos Busso

In this work, we provide a new formulation for Graph Convolutional Neural Networks (GCNNs) for link prediction on graph data that addresses common challenges for biomedical knowledge graphs (KGs). We introduce a regularized attention…

Machine Learning · Computer Science 2018-12-04 Daniel Neil , Joss Briody , Alix Lacoste , Aaron Sim , Paidi Creed , Amir Saffari

The vulnerability of neural network classifiers to adversarial attacks is a major obstacle to their deployment in safety-critical applications. Regularization of network parameters during training can be used to improve adversarial…

Machine Learning · Computer Science 2024-05-28 Sheng Yang , Jacob A. Zavatone-Veth , Cengiz Pehlevan

Separating multiple graph signals from a single observed mixture is an inherently ill-posed problem that traditionally relies on restrictive and handcrafted priors. This letter addresses this challenge by proposing an unsupervised learnable…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Keivan Faghih Niresi , Dorina Thanou , Olga Fink

Convolutional neural network (CNN)-based feature learning has become state of the art, since given sufficient training data, CNN can significantly outperform traditional methods for various classification tasks. However, feature learning…

Machine Learning · Computer Science 2019-12-10 Minxiang Ye , Vladimir Stankovic , Lina Stankovic , Gene Cheung

Rule-based models, e.g., decision trees, are widely used in scenarios demanding high model interpretability for their transparent inner structures and good model expressivity. However, rule-based models are hard to optimize, especially on…

Machine Learning · Computer Science 2024-01-31 Zhuo Wang , Wei Zhang , Ning Liu , Jianyong Wang
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