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Tensors are multidimensional arrays of numerical values and therefore generalize matrices to multiple dimensions. While tensors first emerged in the psychometrics community in the $20^{\text{th}}$ century, they have since then spread to…

Machine Learning · Statistics 2017-11-30 Stephan Rabanser , Oleksandr Shchur , Stephan Günnemann

Graph neural networks are widely used tools for graph prediction tasks. Motivated by their empirical performance, prior works have developed generalization bounds for graph neural networks, which scale with graph structures in terms of the…

Machine Learning · Computer Science 2023-10-25 Haotian Ju , Dongyue Li , Aneesh Sharma , Hongyang R. Zhang

We study the generalization of over-parameterized deep networks (for image classification) in relation to the convex hull of their training sets. Despite their great success, generalization of deep networks is considered a mystery. These…

Machine Learning · Computer Science 2022-03-22 Roozbeh Yousefzadeh

This work focuses on reducing neural network size, which is a major driver of neural network execution time, power consumption, bandwidth, and memory footprint. A key challenge is to reduce size in a manner that can be exploited readily for…

Machine Learning · Computer Science 2025-06-18 Szabolcs Cséfalvay , James Imber

Most machine learning models for structured data encode the structural knowledge of a node by leveraging simple aggregation functions (in neural models, typically a weighted sum) of the information in the node's neighbourhood. Nevertheless,…

Machine Learning · Computer Science 2020-06-18 Daniele Castellana , Davide Bacciu

Deep neural networks are effective feature extractors but they are prohibitively large for deployment scenarios. Due to the huge number of parameters, interpretability of parameters in different layers is not straight-forward. This is why…

Computation and Language · Computer Science 2021-12-23 Saeed Damadi

Large-scale deep learning models are well-suited for compression. Across a variety of tasks, methods like pruning, quantization, and knowledge distillation have been used to achieve massive reductions in model parameters with only marginal…

Machine Learning · Computer Science 2026-05-18 Pedram Bakhtiarifard , Tong Chen , Jonathan Wenshøj , Erik B Dam , Raghavendra Selvan

Recent advances in deep learning have made available large, powerful convolutional neural networks (CNN) with state-of-the-art performance in several real-world applications. Unfortunately, these large-sized models have millions of…

Machine Learning · Computer Science 2020-07-17 Giosuè Cataldo Marinò , Gregorio Ghidoli , Marco Frasca , Dario Malchiodi

Existing methods of pruning deep neural networks focus on removing unnecessary parameters of the trained network and fine tuning the model afterwards to find a good solution that recovers the initial performance of the trained model. Unlike…

Machine Learning · Computer Science 2021-11-17 Abdolghani Ebrahimi , Diego Klabjan

Deep learning and convolutional neural networks in particular are powerful and promising tools for cosmological analysis of large-scale structure surveys. They are already providing similar performance to classical analysis methods using…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-06 Gaspard Aymerich , Tomasz Kacprzak , Alexandre Refregier

Graph neural networks (GNNs) are the most widely adopted model in graph-structured data oriented learning and representation. Despite their extraordinary success in real-world applications, understanding their working mechanism by theory is…

Machine Learning · Computer Science 2023-05-16 Huayi Tang , Yong Liu

We propose a method to incrementally learn an embedding space over the domain of network architectures, to enable the careful selection of architectures for evaluation during compressed architecture search. Given a teacher network, we…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Shengcao Cao , Xiaofang Wang , Kris M. Kitani

Neural networks have dramatically increased our capacity to learn from large, high-dimensional datasets across innumerable disciplines. However, their decisions are not easily interpretable, their computational costs are high, and building…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Mackenzie J. Meni , Ryan T. White , Michael Mayo , Kevin Pilkiewicz

This paper proposes a deep Convolutional Neural Network(CNN) with strong generalization ability for structural topology optimization. The architecture of the neural network is made up of encoding and decoding parts, which provide down- and…

Machine Learning · Computer Science 2020-04-01 Yiquan Zhang , Bo Peng , Xiaoyi Zhou , Cheng Xiang , Dalei Wang

A tensor network is a type of decomposition used to express and approximate large arrays of data. A given data-set, quantum state or higher dimensional multi-linear map is factored and approximated by a composition of smaller multi-linear…

Quantum Physics · Physics 2022-07-08 Richik Sengupta , Soumik Adhikary , Ivan Oseledets , Jacob Biamonte

Despite their prevalence, deep networks are poorly understood. This is due, at least in part, to their highly parameterized nature. As such, while certain structures have been found to work better than others, the significance of a model's…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Theodore S. Nowak , Jason J. Corso

Motivated by the learned iterative soft thresholding algorithm (LISTA), we introduce a general class of neural networks suitable for sparse reconstruction from few linear measurements. By allowing a wide range of degrees of weight-sharing…

Machine Learning · Computer Science 2022-01-19 Ekkehard Schnoor , Arash Behboodi , Holger Rauhut

The deployment of deep neural networks on resource-constrained devices necessitates effective model com- pression strategies that judiciously balance the reduction of model size with the preservation of performance. This study introduces a…

Machine Learning · Computer Science 2025-05-02 Mohammad Zbeeb , Mariam Salman , Mohammad Bazzi , Ammar Mohanna

The recent advances in deep neural networks (DNNs) make them attractive for embedded systems. However, it can take a long time for DNNs to make an inference on resource-constrained computing devices. Model compression techniques can address…

Machine Learning · Computer Science 2018-10-23 Qing Qin , Jie Ren , Jialong Yu , Ling Gao , Hai Wang , Jie Zheng , Yansong Feng , Jianbin Fang , Zheng Wang

Compression is a standard procedure for making convolutional neural networks (CNNs) adhere to some specific computing resource constraints. However, searching for a compressed architecture typically involves a series of time-consuming…

Image and Video Processing · Electrical Eng. & Systems 2021-07-08 Suraj Mishra , Danny Z. Chen , X. Sharon Hu