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Related papers: Fast Clifford Neural Layers

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Within the growing interest in the physical sciences in developing networks with equivariance properties, Clifford neural layers shine as one approach that delivers $E(n)$ and $O(n)$ equivariances given specific group actions. In this…

Machine Learning · Computer Science 2025-10-07 X. Angelo Huang , Ruben Ciranni , Giovanni Spadaccini , Carla J. López Zurita

Partial differential equations (PDEs) see widespread use in sciences and engineering to describe simulation of physical processes as scalar and vector fields interacting and coevolving over time. Due to the computationally expensive nature…

Machine Learning · Computer Science 2023-03-06 Johannes Brandstetter , Rianne van den Berg , Max Welling , Jayesh K. Gupta

Deep convolutional neural networks (ConvNets) of 3-dimensional kernels allow joint modeling of spatiotemporal features. These networks have improved performance of video and volumetric image analysis, but have been limited in size due to…

Computer Vision and Pattern Recognition · Computer Science 2017-06-13 David Budden , Alexander Matveev , Shibani Santurkar , Shraman Ray Chaudhuri , Nir Shavit

We introduce Clifford Group Equivariant Neural Networks: a novel approach for constructing $\mathrm{O}(n)$- and $\mathrm{E}(n)$-equivariant models. We identify and study the $\textit{Clifford group}$, a subgroup inside the Clifford algebra…

Machine Learning · Computer Science 2023-10-24 David Ruhe , Johannes Brandstetter , Patrick Forré

Most current deep learning models equivariant to $O(n)$ or $SO(n)$ either consider mostly scalar information such as distances and angles or have a very high computational complexity. In this work, we test a few novel message passing graph…

Machine Learning · Computer Science 2024-07-11 Cong Liu , David Ruhe , Patrick Forré

We present techniques for speeding up the test-time evaluation of large convolutional networks, designed for object recognition tasks. These models deliver impressive accuracy but each image evaluation requires millions of floating point…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Remi Denton , Wojciech Zaremba , Joan Bruna , Yann LeCun , Rob Fergus

Deep Neural Networks have now achieved state-of-the-art results in a wide range of tasks including image classification, object detection and so on. However, they are both computation consuming and memory intensive, making them difficult to…

Machine Learning · Computer Science 2019-11-13 Xianda Xu , Marco Pedersoli

We introduce the Non-commutative Subset Convolution - a convolution of functions useful when working with determinant-based algorithms. In order to compute it efficiently, we take advantage of Clifford algebras, a generalization of…

Data Structures and Algorithms · Computer Science 2018-08-13 Michał Włodarczyk

We propose models of quantum neural networks through Clifford algebras, which are capable of capturing geometric features of systems and to produce entanglement. Due to their representations in terms of Pauli matrices, the Clifford algebras…

Quantum Physics · Physics 2022-06-07 Marco A. S. Trindade , Vinicius N. L. Rocha , S. Floquet

We propose a simple two-step approach for speeding up convolution layers within large convolutional neural networks based on tensor decomposition and discriminative fine-tuning. Given a layer, we use non-linear least squares to compute a…

Computer Vision and Pattern Recognition · Computer Science 2015-04-27 Vadim Lebedev , Yaroslav Ganin , Maksim Rakhuba , Ivan Oseledets , Victor Lempitsky

The convolution computation is widely used in many fields, especially in CNNs. Because of the rapid growth of the training data in CNNs, GPUs have been used for the acceleration, and memory-efficient algorithms are focused because of thier…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-02 Qiong Chang , Masaki Onishi , Tsutomu Maruyama

Edge computing for neural networks is getting important especially for low power applications and offline devices. TensorFlow Lite and PyTorch Mobile were released for this purpose. But they mainly support mobile devices instead of…

Hardware Architecture · Computer Science 2020-07-06 Hasan Unlu

Deploying deep neural networks on edge devices is often limited by the memory traffic and compute cost of dense linear operators. While quaternion neural networks improve parameter efficiency by coupling multiple channels through Hamilton…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Vladimir Frants , Sos Agaian , Karen Panetta

Topological features capture global geometric structure in imaging data, but practical adoption in deep learning requires both computational efficiency and differentiability. We present optimized GPU kernels for the Euler Characteristic…

Machine Learning · Computer Science 2025-10-24 Udit Saxena

We propose a lightweight CPU network based on the MKLDNN acceleration strategy, named PP-LCNet, which improves the performance of lightweight models on multiple tasks. This paper lists technologies which can improve network accuracy while…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Cheng Cui , Tingquan Gao , Shengyu Wei , Yuning Du , Ruoyu Guo , Shuilong Dong , Bin Lu , Ying Zhou , Xueying Lv , Qiwen Liu , Xiaoguang Hu , Dianhai Yu , Yanjun Ma

There has been recent interest in novel Clifford geometric invariants of linear transformations. This motivates the investigation of such invariants for a certain type of geometric transformation of interest in the context of root systems,…

Machine Learning · Computer Science 2024-05-28 Siqi Chen , Pierre-Philippe Dechant , Yang-Hui He , Elli Heyes , Edward Hirst , Dmitrii Riabchenko

Convolutional neural networks (CNNs) have found many applications in tasks involving two-dimensional (2D) data, such as image classification and image processing. Therefore, 2D convolution layers have been heavily optimized on CPUs and…

In recent years, convolutional neural networks (CNNs) have shown great performance in various fields such as image classification, pattern recognition, and multi-media compression. Two of the feature properties, local connectivity and…

Machine Learning · Computer Science 2018-07-24 Qianru Zhang , Meng Zhang , Tinghuan Chen , Zhifei Sun , Yuzhe Ma , Bei Yu

The use of modern Natural Language Processing (NLP) techniques has shown to be beneficial for software engineering tasks, such as vulnerability detection and type inference. However, training deep NLP models requires significant…

Software Engineering · Computer Science 2023-09-12 Anastasiia Grishina , Max Hort , Leon Moonen

GPUs have been favored for training deep learning models due to their highly parallelized architecture. As a result, most studies on training optimization focus on GPUs. There is often a trade-off, however, between cost and efficiency when…

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