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In pattern classification, polynomial classifiers are well-studied methods as they are capable of generating complex decision surfaces. Unfortunately, the use of multivariate polynomials is limited to kernels as in support vector machines,…

Machine Learning · Computer Science 2017-11-07 Zhongming Chen , Kim Batselier , Johan A. K. Suykens , Ngai Wong

This paper introduces the first release of Pytearcat, a Python package developed to compute tensor algebra operations in the context of theoretical physics, for instance, in general relativity. Given that working with tensors can become a…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Marco San Martín , Joaquin Sureda

We propose a Deep Texture Encoding Network (Deep-TEN) with a novel Encoding Layer integrated on top of convolutional layers, which ports the entire dictionary learning and encoding pipeline into a single model. Current methods build from…

Computer Vision and Pattern Recognition · Computer Science 2016-12-12 Hang Zhang , Jia Xue , Kristin Dana

Advanced algorithms for large-scale electronic structure calculations are mostly based on processing multi-dimensional sparse data. Examples are sparse matrix-matrix multiplications in linear-scaling Kohn-Sham calculations or the efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-31 Ilia Sivkov , Patrick Seewald , Alfio Lazzaro , Juerg Hutter

Multilayer networks proved to be suitable in extracting and providing dependency information of different complex systems. The construction of these networks is difficult and is mostly done with a static approach, neglecting time delayed…

Risk Management · Quantitative Finance 2020-04-14 Giuseppe Brandi , T. Di Matteo

A tensor network is a diagram that specifies a way to "multiply" a collection of tensors together to produce another tensor (or matrix). Many existing algorithms for tensor problems (such as tensor decomposition and tensor PCA), although…

Data Structures and Algorithms · Computer Science 2018-11-05 Ankur Moitra , Alexander S. Wein

CNNs achieve remarkable performance by leveraging deep, over-parametrized architectures, trained on large datasets. However, they have limited generalization ability to data outside the training domain, and a lack of robustness to noise and…

Progress in the application of machine learning techniques to the prediction of solid-state and molecular materials properties has been greatly facilitated by the development state-of-the-art feature representations and novel deep learning…

Materials Science · Physics 2022-03-21 David E. Sommer , Scott T. Dunham

TensorFlow Eager is a multi-stage, Python-embedded domain-specific language for hardware-accelerated machine learning, suitable for both interactive research and production. TensorFlow, which TensorFlow Eager extends, requires users to…

In spite of showing unreasonable effectiveness in modalities like Text and Image, Deep Learning has always lagged Gradient Boosting in tabular data - both in popularity and performance. But recently there have been newer models created…

Machine Learning · Computer Science 2021-04-29 Manu Joseph

In this paper, we propose new learning algorithms for approximating high-dimensional functions using tree tensor networks in a least-squares setting. Given a dimension tree or architecture of the tensor network, we provide an algorithm that…

Numerical Analysis · Mathematics 2021-04-29 Cécile Haberstich , Anthony Nouy , Guillaume Perrin

While convolutional neural networks (CNNs) have become the de facto standard for most image processing and computer vision applications, their deployment on edge devices remains challenging. Tensor decomposition methods provide a means of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Marawan Gamal Abdel Hameed , Ali Mosleh , Marzieh S. Tahaei , Vahid Partovi Nia

State-of-the-art deep learning systems such as TensorFlow and PyTorch tightly couple the model with the underlying hardware. This coupling requires the user to modify application logic in order to run the same job across a different set of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-13 Andrew Or , Haoyu Zhang , Michael J. Freedman

Detailed notes on the functions included in the DMRjulia library are included here. This discussion of how to program functions for a tensor network library are intended to be a supplement to the other documentation dedicated to explaining…

Quantum Physics · Physics 2021-11-30 Thomas E. Baker , Martin P. Thompson

A complex network is a condensed representation of the relational topological framework of a complex system. A main reason for the existence of such networks is the transmission of items through the entities of these complex systems. Here,…

Physics and Society · Physics 2018-04-18 María Pereda , Ernesto Estrada

Layers is an open source neural network toolkit aim at providing an easy way to implement modern neural networks. The main user target are students and to this end layers provides an easy scriptting language that can be early adopted. The…

Neural and Evolutionary Computing · Computer Science 2016-10-07 Roberto Paredes , José-Miguel Benedí

Tensor networks (TNs) enable compact representations of large tensors through shared parameters. Their use in probabilistic modeling is particularly appealing, as probabilistic tensor networks (PTNs) allow for tractable computation of…

Machine Learning · Computer Science 2025-10-02 Marawan Gamal Abdel Hameed , Guillaume Rabusseau

In this paper, we present Tianshou, a highly modularized Python library for deep reinforcement learning (DRL) that uses PyTorch as its backend. Tianshou intends to be research-friendly by providing a flexible and reliable infrastructure of…

Machine Learning · Computer Science 2022-08-11 Jiayi Weng , Huayu Chen , Dong Yan , Kaichao You , Alexis Duburcq , Minghao Zhang , Yi Su , Hang Su , Jun Zhu