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Field-programmable gate arrays (FPGAs) are widely used to implement deep learning inference. Standard deep neural network inference involves the computation of interleaved linear maps and nonlinear activation functions. Prior work for…

Machine Learning · Computer Science 2024-02-12 Marta Andronic , George A. Constantinides

Multivariate problems are typically governed by anisotropic features such as edges in images. A common bracket of most of the various directional representation systems which have been proposed to deliver sparse approximations of such…

Numerical Analysis · Mathematics 2011-06-08 Gitta Kutyniok , Morteza Shahram , Xiaosheng Zhuang

RNA 3D architectures are stabilized by sophisticated networks of (non-canonical) base pair interactions, which can be conveniently encoded as multi-relational graphs and efficiently exploited by graph theoretical approaches and recent…

Quantitative Methods · Quantitative Biology 2022-06-03 Vincent Mallet , Carlos Oliver , Jonathan Broadbent , William L. Hamilton , Jérôme Waldispühl

We present algorithms for computation and visualization of amoebas, their contours, compactified amoebas and sections of three-dimensional amoebas by two-dimensional planes. We also provide method and an algorithm for the computation…

Computational Geometry · Computer Science 2016-04-14 D. V. Bogdanov , A. A. Kytmanov , T. M. Sadykov

Spatial self-attention layers, in the form of Non-Local blocks, introduce long-range dependencies in Convolutional Neural Networks by computing pairwise similarities among all possible positions. Such pairwise functions underpin the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Francesca Babiloni , Ioannis Marras , Filippos Kokkinos , Jiankang Deng , Grigorios Chrysos , Stefanos Zafeiriou

Gypsilab is a Matlab framework which aims at simplifying the development of numerical methods that apply to the resolution of problems in multiphysics, in particular, those involving FEM or BEM simulations. The peculiarities of the…

Numerical Analysis · Mathematics 2018-09-05 Francois Alouges , Matthieu Aussal

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2010-06-28 Yucheng Low , Joseph Gonzalez , Aapo Kyrola , Danny Bickson , Carlos Guestrin , Joseph M. Hellerstein

We present an optimized algorithm calculating determinant for multivariate polynomial matrix on GPU. The novel algorithm provides precise determinant for input multivariate polynomial matrix in controllable time. Our approach is based on…

Numerical Analysis · Mathematics 2020-10-26 Jianjun Wei , Liangyu Chen

In this talk, we discuss recent progress in the application of generalizations of polylogarithms in the symbolic computation of multi-loop integrals. We briefly review the Maple program MPL which supports a certain approach for the…

High Energy Physics - Phenomenology · Physics 2016-12-21 Christian Bogner

This paper presents a novel method for generating a single polynomial approximation that produces correctly rounded results for all inputs of an elementary function for multiple representations. The generated polynomial approximation has…

Mathematical Software · Computer Science 2022-03-18 Mridul Aanjaneya , Jay P. Lim , Santosh Nagarakatte

PennyLane is a Python 3 software framework for differentiable programming of quantum computers. The library provides a unified architecture for near-term quantum computing devices, supporting both qubit and continuous-variable paradigms.…

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2014-08-12 Yucheng Low , Joseph E. Gonzalez , Aapo Kyrola , Danny Bickson , Carlos E. Guestrin , Joseph Hellerstein

This work introduces CLBlast, an open-source BLAS library providing optimized OpenCL routines to accelerate dense linear algebra for a wide variety of devices. It is targeted at machine learning and HPC applications and thus provides a fast…

Mathematical Software · Computer Science 2018-04-30 Cedric Nugteren

In this paper, we extend our previous work on the power series method for computing backstepping kernels. Our first contribution is the development of initial steps towards a MATLAB toolbox dedicated to backstepping kernel computation. This…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Xin Lin , Rafael Vazquez , Miroslav Krstic

MATLAB(R) releases over the last 3 years have witnessed a continuing growth in the dynamic modeling capabilities offered by the System Identification Toolbox(TM). The emphasis has been on integrating deep learning architectures and training…

Machine Learning · Computer Science 2024-09-13 Tianyu Dai , Khaled Aljanaideh , Rong Chen , Rajiv Singh , Alec Stothert , Lennart Ljung

Calibration is a well-studied property of predictors which guarantees meaningful uncertainty estimates. Multicalibration is a related notion -- originating in algorithmic fairness -- which requires predictors to be simultaneously calibrated…

Machine Learning · Computer Science 2024-11-06 Dutch Hansen , Siddartha Devic , Preetum Nakkiran , Vatsal Sharan

QC Lab is an open-source Python package for QC dynamics simulations aimed to promote the development of QC algorithms, and their application to a wide variety of relevant model problems. It follows a modular design that facilitates…

Chemical Physics · Physics 2025-10-28 Alex Krotz , Ethan Byrd , Ken Miyazaki , Roel Tempelaar

We study logit-based multi-purchase choice models and develop an exact solution methodology for the resulting assortment optimization problems, which we show are NP-hard to approximate. We introduce a hypergraph representation that captures…

Optimization and Control · Mathematics 2026-03-30 Taotao He , Zhongqi Wu , Yating Zhang

GlobalBioIm is an open-source MATLAB library for solving inverse problems. The library capitalizes on the strong commonalities between forward models to standardize the resolution of a wide range of imaging inverse problems. Endowed with an…

Mathematical Software · Computer Science 2023-09-12 Emmanuel Soubies , Ferréol Soulez , Michael T. McCann , Thanh-an Pham , Laurène Donati , Thomas Debarre , Daniel Sage , Michael Unser

LightNet is a lightweight, versatile and purely Matlab-based deep learning framework. The idea underlying its design is to provide an easy-to-understand, easy-to-use and efficient computational platform for deep learning research. The…

Machine Learning · Computer Science 2016-08-03 Chengxi Ye , Chen Zhao , Yezhou Yang , Cornelia Fermuller , Yiannis Aloimonos
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