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Deep learning models with convolutional and recurrent networks are now ubiquitous and analyze massive amounts of audio, image, video, text and graph data, with applications in automatic translation, speech-to-text, scene understanding,…

Deep learning models rely on highly optimized tensor libraries for efficient inference on heterogeneous hardware. Current deep compilers typically predetermine layouts of tensors and then optimize loops of operators. However, such…

Machine Learning · Computer Science 2022-11-01 Zhiying Xu , Jiafan Xu , Hongding Peng , Wei Wang , Xiaoliang Wang , Haoran Wan , Haipeng Dai , Yixu Xu , Hao Cheng , Kun Wang , Guihai Chen

High-order tensor decomposition has been widely adopted to obtain compact deep neural networks for edge deployment. However, existing studies focus primarily on its algorithmic advantages such as accuracy and compression ratio-while…

Hardware Architecture · Computer Science 2025-11-26 Jinsong Zhang , Minghe Li , Jiayi Tian , Jinming Lu , Zheng Zhang

ROOT provides an flexible format used throughout the HEP community. The number of use cases - from an archival data format to end-stage analysis - has required a number of tradeoffs to be exposed to the user. For example, a high…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-06 Zhe Zhang , Brian Bockelman

Zero-shot hyperparameter optimization (HPO) is a simple yet effective use of transfer learning for constructing a small list of hyperparameter (HP) configurations that complement each other. That is to say, for any given dataset, at least…

Machine Learning · Statistics 2020-07-28 Fela Winkelmolen , Nikita Ivkin , H. Furkan Bozkurt , Zohar Karnin

A popular tool for unsupervised modelling and mining multi-aspect data is tensor decomposition. In an exploratory setting, where and no labels or ground truth are available how can we automatically decide how many components to extract? How…

Machine Learning · Statistics 2015-03-12 Evangelos E. Papalexakis

Tensor methods have become a promising tool to solve high-dimensional problems in the big data era. By exploiting possible low-rank tensor factorization, many high-dimensional model-based or data-driven problems can be solved to facilitate…

Optimization and Control · Mathematics 2019-08-22 Chunfeng Cui , Cole Hawkins , Zheng Zhang

We devise and evaluate numerically a Hybrid High-Order (HHO) method for finite plasticity within a logarithmic strain framework. The HHO method uses as discrete unknowns piecewise polynomials of order $k\ge1$ on the mesh skeleton, together…

Computational Engineering, Finance, and Science · Computer Science 2024-12-20 Mickaël Abbas , Alexandre Ern , Nicolas Pignet

Differentiable programming is a fresh programming paradigm which composes parameterized algorithmic components and trains them using automatic differentiation (AD). The concept emerges from deep learning but is not only limited to training…

Strongly Correlated Electrons · Physics 2019-09-11 Hai-Jun Liao , Jin-Guo Liu , Lei Wang , Tao Xiang

Modern datasets are increasingly high-dimensional and multiway, often represented as tensor-valued data with multi-indexed variables. While Transformers excel in sequence modeling and high-dimensional tasks, their direct application to…

Machine Learning · Computer Science 2025-11-19 Soroush Omranpour , Guillaume Rabusseau , Reihaneh Rabbany

The increasing spread of artificial neural networks does not stop at ultralow-power edge devices. However, these very often have high computational demand and require specialized hardware accelerators to ensure the design meets power and…

We formally introduce a systematic (de/re)-composition approach, based on the algebraic formalism of "Multi-Dimensional Homomorphisms (MDHs)". Our approach is designed as general enough to be applicable to a wide range of data-parallel…

Programming Languages · Computer Science 2025-07-01 Ari Rasch

Tensor train (TT) decomposition has drawn people's attention due to its powerful representation ability and performance stability in high-order tensors. In this paper, we propose a novel approach to recover the missing entries of incomplete…

Numerical Analysis · Computer Science 2018-12-03 Longhao Yuan , Qibin Zhao , Lihua Gui , Jianting Cao

Machine-learning models consist of kernels, which are algorithms applying operations on tensors -- data indexed by a linear combination of natural numbers. Examples of kernels include convolutions, transpositions, and vectorial products.…

Machine Learning · Computer Science 2024-07-16 Michael Canesche , Gaurav Verma , Fernando Magno Quintao Pereira

We consider the problem of automatically decomposing operations over tensors or arrays so that they can be executed in parallel on multiple devices. We address two, closely-linked questions. First, what programming abstraction should…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-04 Daniel Bourgeois , Zhimin Ding , Dimitrije Jankov , Jiehui Li , Mahmoud Sleem , Yuxin Tang , Jiawen Yao , Xinyu Yao , Chris Jermaine

Deep neural networks have seen great success in recent years; however, training a deep model is often challenging as its performance heavily depends on the hyper-parameters used. In addition, finding the optimal hyper-parameter…

Tensor Networks (TN) offer a powerful framework to efficiently represent very high-dimensional objects. TN have recently shown their potential for machine learning applications and offer a unifying view of common tensor decomposition models…

Machine Learning · Computer Science 2021-06-24 Meraj Hashemizadeh , Michelle Liu , Jacob Miller , Guillaume Rabusseau

Tensors provide a robust framework for managing high-dimensional data. Consequently, tensor analysis has emerged as an active research area in various domains, including machine learning, signal processing, computer vision, graph analysis,…

Computation · Statistics 2025-10-01 Michele Gallo

Distributed optimization is the standard way of speeding up machine learning training, and most of the research in the area focuses on distributed first-order, gradient-based methods. Yet, there are settings where some…

Machine Learning · Computer Science 2025-11-03 Matin Ansaripour , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh

In this era of big data, data analytics and machine learning, it is imperative to find ways to compress large data sets such that intrinsic features necessary for subsequent analysis are not lost. The traditional workhorse for data…

Numerical Analysis · Mathematics 2020-01-03 Misha Kilmer , Lior Horesh , Haim Avron , Elizabeth Newman