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Fast matrix multiplication can be described as searching for low-rank decompositions of the matrix--multiplication tensor. We design a neural architecture, \textsc{StrassenNet}, which reproduces the Strassen algorithm for $2\times 2$…

We study neural networks whose only non-linear components are multipliers, to test a new training rule in a context where the precise representation of data is paramount. These networks are challenged to discover the rules of matrix…

Numerical Analysis · Mathematics 2016-01-28 Veit Elser

The state-of-the-art deep neural networks (DNNs) have significant computational and data management requirements. The size of both training data and models continue to increase. Sparsification and pruning methods are shown to be effective…

Machine Learning · Computer Science 2021-04-27 Gunduz Vehbi Demirci , Hakan Ferhatosmanoglu

We construct a Neural Network that approximates the matrix multiplication operator for any activation function such that there exists a Neural Network which can approximate the scalar multiplication function. In particular, we use the…

Numerical Analysis · Mathematics 2026-02-06 Gonzalo Romera , Jon Asier Bárcena-Petisco

We propose doubly nested network(DNNet) where all neurons represent their own sub-models that solve the same task. Every sub-model is nested both layer-wise and channel-wise. While nesting sub-models layer-wise is straight-forward with…

Machine Learning · Computer Science 2018-06-21 Jaehong Kim , Sungeun Hong , Yongseok Choi , Jiwon Kim

For most deep learning algorithms training is notoriously time consuming. Since most of the computation in training neural networks is typically spent on floating point multiplications, we investigate an approach to training that eliminates…

Machine Learning · Computer Science 2016-02-29 Zhouhan Lin , Matthieu Courbariaux , Roland Memisevic , Yoshua Bengio

Large neural networks are typically trained for a fixed computational budget, creating a rigid trade-off between performance and efficiency that is ill-suited for deployment in resource-constrained or dynamic environments. Existing…

Machine Learning · Computer Science 2026-03-05 Paulius Rauba , Mihaela van der Schaar

Deep Models are increasingly becoming prevalent in summarization problems (e.g. document, video and images) due to their ability to learn complex feature interactions and representations. However, they do not model characteristics such as…

Machine Learning · Computer Science 2020-10-20 Suraj Kothawade , Jiten Girdhar , Chandrashekhar Lavania , Rishabh Iyer

Deep neural networks ( DNNs ) are becoming a key enabling technology for many application domains. However, on-device inference on battery-powered, resource-constrained embedding systems is often infeasible due to prohibitively long…

Machine Learning · Computer Science 2019-11-13 Vicent Sanz Marco , Ben Taylor , Zheng Wang , Yehia Elkhatib

We propose a distributed approach to train deep neural networks (DNNs), which has guaranteed convergence theoretically and great scalability empirically: close to 6 times faster on instance of ImageNet data set when run with 6 machines. The…

Machine Learning · Statistics 2016-10-04 Abhimanu Kumar , Pengtao Xie , Junming Yin , Eric P. Xing

Our proposed deeply-supervised nets (DSN) method simultaneously minimizes classification error while making the learning process of hidden layers direct and transparent. We make an attempt to boost the classification performance by studying…

Machine Learning · Statistics 2017-04-26 Chen-Yu Lee , Saining Xie , Patrick Gallagher , Zhengyou Zhang , Zhuowen Tu

Despite their tremendous success and versatility, Deep Neural Networks (DNNs) such as Large Language Models (LLMs) suffer from inference inefficiency and rely on advanced computational infrastructure. To address these challenges and make…

Machine Learning · Computer Science 2025-05-05 Mohsen Dehghankar , Mahdi Erfanian , Abolfazl Asudeh

Multiplication (e.g., convolution) is arguably a cornerstone of modern deep neural networks (DNNs). However, intensive multiplications cause expensive resource costs that challenge DNNs' deployment on resource-constrained edge devices,…

Machine Learning · Computer Science 2025-03-04 Haoran You , Xiaohan Chen , Yongan Zhang , Chaojian Li , Sicheng Li , Zihao Liu , Zhangyang Wang , Yingyan Celine Lin

Fast approximations to matrix multiplication have the potential to dramatically reduce the cost of neural network inference. Recent work on approximate matrix multiplication proposed to replace costly multiplications with table-lookups by…

Machine Learning · Computer Science 2022-07-14 Calvin McCarter , Nicholas Dronen

Deep kernel learning aims at designing nonlinear combinations of multiple standard elementary kernels by training deep networks. This scheme has proven to be effective, but intractable when handling large-scale datasets especially when the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-01 Mingyuan Jiu , Hichem Sahbi

In this study, we propose a simple method for fault-tolerant Strassen-like matrix multiplications. The proposed method is based on using two distinct Strassen-like algorithms instead of replicating a given one. We have realized that using…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-11 Osman B. Guney , Suayb S. Arslan

Sparse coding can learn good robust representation to noise and model more higher-order representation for image classification. However, the inference algorithm is computationally expensive even though the supervised signals are used to…

Computer Vision and Pattern Recognition · Computer Science 2015-01-06 Jun Li , Heyou Chang , Jian Yang

Compared with cheap addition operation, multiplication operation is of much higher computation complexity. The widely-used convolutions in deep neural networks are exactly cross-correlation to measure the similarity between input feature…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Hanting Chen , Yunhe Wang , Chunjing Xu , Boxin Shi , Chao Xu , Qi Tian , Chang Xu

We propose Impatient Deep Neural Networks (DNNs) which deal with dynamic time budgets during application. They allow for individual budgets given a priori for each test example and for anytime prediction, i.e., a possible interruption at…

Computer Vision and Pattern Recognition · Computer Science 2016-10-11 Manuel Amthor , Erik Rodner , Joachim Denzler

We propose to focus on the problem of discovering neural network architectures efficient in terms of both prediction quality and cost. For instance, our approach is able to solve the following tasks: learn a neural network able to predict…

Machine Learning · Computer Science 2018-05-24 Tom Veniat , Ludovic Denoyer
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