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Hierarchical Matrix (H-matrix) is an approximation technique which splits a target dense matrix into multiple submatrices, and where a selected portion of submatrices are low-rank approximated. The technique substantially reduces both time…

Mathematical Software · Computer Science 2019-11-04 Rise Ooi , Takeshi Iwashita , Takeshi Fukaya , Akihiro Ida , Rio Yokota

The softmax function is a widely used activation function in the output layers of neural networks, responsible for converting raw scores into class probabilities while introducing essential non-linearity. Implementing Softmax efficiently…

This study proposes the "adaptive flip graph algorithm", which combines adaptive searches with the flip graph algorithm for finding fast and efficient methods for matrix multiplication. The adaptive flip graph algorithm addresses the…

Symbolic Computation · Computer Science 2024-03-19 Yamato Arai , Yuma Ichikawa , Koji Hukushima

In the deep-learning community new algorithms are published at an incredible pace. Therefore, solving an image classification problem for new datasets becomes a challenging task, as it requires to re-evaluate published algorithms and their…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Florian Scheidegger , Roxana Istrate , Giovanni Mariani , Luca Benini , Costas Bekas , Cristiano Malossi

The design and implementation of Deep Learning (DL) models is currently receiving a lot of attention from both industrials and academics. However, the computational workload associated with DL is often out of reach for low-power embedded…

Hardware Architecture · Computer Science 2022-12-09 Etienne Dupuis , Silviu-Ioan Filip , Olivier Sentieys , David Novo , Ian O'Connor , Alberto Bosio

In this paper, we introduce a novel methodology for characterising the performance of deep learning networks (ResNets and DenseNet) with respect to training convergence and generalisation as a function of mini-batch size and learning rate…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Zhibin Liao , Tom Drummond , Ian Reid , Gustavo Carneiro

Efficient index structures for fast approximate nearest neighbor queries are required in many applications such as recommendation systems. In high-dimensional spaces, many conventional methods suffer from excessive usage of memory and slow…

Deep neural networks have gained tremendous popularity in last few years. They have been applied for the task of classification in almost every domain. Despite the success, deep networks can be incredibly slow to train for even moderate…

Machine Learning · Computer Science 2018-10-11 Gaurav Singh , John Shawe-Taylor

In this paper we introduce a generic model for multiplicative algorithms which is suitable for the MapReduce parallel programming paradigm. We implement three typical machine learning algorithms to demonstrate how similarity comparison,…

Data Structures and Algorithms · Computer Science 2011-12-05 Song Liu , Peter Flach , Nello Cristianini

Deep Neural Networks (DNNs) are computationally and memory intensive, which makes their hardware implementation a challenging task especially for resource constrained devices such as IoT nodes. To address this challenge, this paper…

Computer Vision and Pattern Recognition · Computer Science 2021-05-10 Mohammed F. Tolba , Huruy Tekle Tesfai , Hani Saleh , Baker Mohammad , Mahmoud Al-Qutayri

We present a new method to approximate posterior probabilities of Bayesian Network using Deep Neural Network. Experiment results on several public Bayesian Network datasets shows that Deep Neural Network is capable of learning joint…

Machine Learning · Computer Science 2018-01-12 Jie Jia , Honggang Zhou , Yunchun Li

We present algorithms for real and complex dot product and matrix multiplication in arbitrary-precision floating-point and ball arithmetic. A low-overhead dot product is implemented on the level of GMP limb arrays; it is about twice as fast…

Mathematical Software · Computer Science 2024-12-20 Fredrik Johansson

Artificial intelligence workloads, especially transformer models, exhibit emergent sparsity in which computations perform selective sparse access to dense data. The workloads are inefficient on hardware designed for dense computations and…

Data Structures and Algorithms · Computer Science 2024-02-23 Brian Wheatman , Meghana Madhyastha , Randal Burns

We propose a method that meta-learns a knowledge on matrix factorization from various matrices, and uses the knowledge for factorizing unseen matrices. The proposed method uses a neural network that takes a matrix as input, and generates…

Machine Learning · Statistics 2021-06-30 Tomoharu Iwata

The inductive biases of trained neural networks are difficult to understand and, consequently, to adapt to new settings. We study the inductive biases of linearizations of neural networks, which we show to be surprisingly good summaries of…

Machine Learning · Statistics 2021-04-29 Wesley J. Maddox , Shuai Tang , Pablo Garcia Moreno , Andrew Gordon Wilson , Andreas Damianou

Even in times of deep learning, low-rank approximations by factorizing a matrix into user and item latent factors continue to be a method of choice for collaborative filtering tasks due to their great performance. While deep learning based…

Information Retrieval · Computer Science 2019-05-31 Marcel Kurovski , Florian Wilhelm

This work introduces a framework to address the computational complexity inherent in Mixed-Integer Programming (MIP) models by harnessing the potential of deep learning. By employing deep learning, we construct problem-specific heuristics…

Optimization and Control · Mathematics 2024-05-13 Niki Triantafyllou , Maria M. Papathanasiou

Matrix and tensor completion aim to recover a low-rank matrix / tensor from limited observations and have been commonly used in applications such as recommender systems and multi-relational data mining. A state-of-the-art matrix completion…

Numerical Analysis · Computer Science 2018-08-28 Quanming Yao , James T. Kwok

While larger neural models are pushing the boundaries of what deep learning can do, often more weights are needed to train models rather than to run inference for tasks. This paper seeks to understand this behavior using search spaces --…

Machine Learning · Computer Science 2021-05-28 Darko Stosic , Dusan Stosic

Network pruning can reduce the high computation cost of deep neural network (DNN) models. However, to maintain their accuracies, sparse models often carry randomly-distributed weights, leading to irregular computations. Consequently, sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-01 Cong Guo , Bo Yang Hsueh , Jingwen Leng , Yuxian Qiu , Yue Guan , Zehuan Wang , Xiaoying Jia , Xipeng Li , Minyi Guo , Yuhao Zhu