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We propose to impose symmetry in neural network parameters to improve parameter usage and make use of dedicated convolution and matrix multiplication routines. Due to significant reduction in the number of parameters as a result of the…

Machine Learning · Computer Science 2019-01-11 Xu Shell Hu , Sergey Zagoruyko , Nikos Komodakis

We propose a novel algorithm for combined unit and layer pruning of deep neural networks that functions during training and without requiring a pre-trained network to apply. Our algorithm optimally trades-off learning accuracy and pruning…

Machine Learning · Computer Science 2025-07-17 Valentin Frank Ingmar Guenter , Athanasios Sideris

In this work, we study how well the learned weights of a neural network utilize the space available to them. This notion is related to capacity, but additionally incorporates the interaction of the network architecture with the dataset.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Isha Garg , Christian Koguchi , Eshan Verma , Daniel Ulbricht

Learning concepts that are consistent with human perception is important for Deep Neural Networks to win end-user trust. Post-hoc interpretation methods lack transparency in the feature representations learned by the models. This work…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Sandareka Wickramanayake , Wynne Hsu , Mong Li Lee

Structured pruning compresses neural networks by reducing channels (filters) for fast inference and low footprint at run-time. To restore accuracy after pruning, fine-tuning is usually applied to pruned networks. However, too few remaining…

Computer Vision and Pattern Recognition · Computer Science 2024-01-01 Yu Qian , Jian Cao , Xiaoshuang Li , Jie Zhang , Hufei Li , Jue Chen

Neural networks (NNs) struggle to efficiently solve certain problems, such as learning parities, even when there are simple learning algorithms for those problems. Can NNs discover learning algorithms on their own? We exhibit a NN…

Machine Learning · Computer Science 2023-01-18 Surbhi Goel , Sham Kakade , Adam Tauman Kalai , Cyril Zhang

Machine learning methods are commonly used to solve inverse problems, wherein an unknown signal must be estimated from few indirect measurements generated via a known acquisition procedure. In particular, neural networks perform well…

Machine Learning · Computer Science 2025-12-05 Hannah Laus , Suzanna Parkinson , Vasileios Charisopoulos , Felix Krahmer , Rebecca Willett

Learning informative representations of data is one of the primary goals of deep learning, but there is still little understanding as to what representations a neural network actually learns. To better understand this, subspace match was…

Machine Learning · Computer Science 2019-01-07 Jeremiah Johnson

Neural networks have been successfully used for classification tasks in a rapidly growing number of practical applications. Despite their popularity and widespread use, there are still many aspects of training and classification that are…

Machine Learning · Computer Science 2016-05-03 Ewout van den Berg

We present a framework to define a large class of neural networks for which, by construction, training by gradient flow provably reaches arbitrarily low loss when the number of parameters grows. Distinct from the fixed-space global…

Optimization and Control · Mathematics 2025-01-13 David A. R. Robin , Kevin Scaman , Marc Lelarge

Models for image representation learning are typically designed for either recognition or generation. Various forms of contrastive learning help models learn to convert images to embeddings that are useful for classification, detection, and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Matthew Gwilliam , Xiao Wang , Xuefeng Hu , Zhenheng Yang

Deep convolutional neural networks are hindered by training instability and feature redundancy towards further performance improvement. A promising solution is to impose orthogonality on convolutional filters. We develop an efficient…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Jiayun Wang , Yubei Chen , Rudrasis Chakraborty , Stella X. Yu

For almost 70 years, researchers have typically selected the width of neural networks' layers either manually or through automated hyperparameter tuning methods such as grid search and, more recently, neural architecture search. This paper…

Machine Learning · Computer Science 2026-02-17 Federico Errica , Henrik Christiansen , Viktor Zaverkin , Mathias Niepert , Francesco Alesiani

Continual learning is an emerging topic in the field of deep learning, where a model is expected to learn continuously for new upcoming tasks without forgetting previous experiences. This field has witnessed numerous advancements, but few…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Aupendu Kar , Krishnendu Ghosh , Prabir Kumar Biswas

For a large class of feature maps we provide a tight asymptotic characterisation of the test error associated with learning the readout layer, in the high-dimensional limit where the input dimension, hidden layer widths, and number of…

Machine Learning · Statistics 2024-06-11 Dominik Schröder , Daniil Dmitriev , Hugo Cui , Bruno Loureiro

Neural Collapse is a phenomenon that helps identify sparse and low rank structures in deep classifiers. Recent work has extended the definition of neural collapse to regression problems, albeit only measuring the phenomenon at the last…

Machine Learning · Computer Science 2026-03-26 Akshay Rangamani , Altay Unal

This paper presents an unsupervised method to learn a neural network, namely an explainer, to interpret a pre-trained convolutional neural network (CNN), i.e., explaining knowledge representations hidden in middle conv-layers of the CNN.…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Quanshi Zhang , Yu Yang , Yuchen Liu , Ying Nian Wu , Song-Chun Zhu

In this paper, we explore the idea of weight sharing over multiple scales in convolutional networks. Inspired by traditional computer vision approaches, we share the weights of convolution kernels over different scales in the same layers of…

Computer Vision and Pattern Recognition · Computer Science 2020-01-10 Shubhra Aich , Ian Stavness , Yasuhiro Taniguchi , Masaki Yamazaki

This work studies the design of neural networks that can process the weights or gradients of other neural networks, which we refer to as neural functional networks (NFNs). Despite a wide range of potential applications, including learned…

Machine Learning · Computer Science 2023-09-27 Allan Zhou , Kaien Yang , Kaylee Burns , Adriano Cardace , Yiding Jiang , Samuel Sokota , J. Zico Kolter , Chelsea Finn

Recurrent neural networks are powerful tools for handling incomplete data problems in computer vision, thanks to their significant generative capabilities. However, the computational demand for these algorithms is too high to work in real…

Computer Vision and Pattern Recognition · Computer Science 2015-05-07 Ozgur Yilmaz