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Computational tools for data analysis are being released daily on repositories such as the Comprehensive R Archive Network. How we integrate these tools to solve a problem in research is increasingly complex and requiring frequent updates.…

Other Statistics · Statistics 2019-10-17 Charles T. Gray

In this paper, we present a partial survey of the tools borrowed from tensor algebra, which have been utilized recently in Statistics and Signal Processing. It is shown why the decompositions well known in linear algebra can hardly be…

Applications · Statistics 2009-05-05 Pierre Comon

As suggested by the title, this paper is a survey of recent results and questions on the collection of computably enumerable sets under inclusion. This is not a broad survey but one focused on the author's and a few others' current…

Logic · Mathematics 2013-12-23 Peter Cholak

This paper describes open-source scientific contributions in python surrounding the numerical solutions to hyperbolic Hamilton-Jacobi (HJ) partial differential equations viz., their implicit representation on co-dimension one surfaces;…

Mathematical Software · Computer Science 2024-11-07 Lekan Molu

Since the introduction of DQN, a vast majority of reinforcement learning research has focused on reinforcement learning with deep neural networks as function approximators. New methods are typically evaluated on a set of environments that…

Machine Learning · Computer Science 2021-05-25 Johan S. Obando-Ceron , Pablo Samuel Castro

Vertical Federated Learning (VFL) has emerged as a collaborative training paradigm that allows participants with different features of the same group of users to accomplish cooperative training without exposing their raw data or model…

Machine Learning · Computer Science 2024-04-17 Tianyuan Zou , Zixuan Gu , Yu He , Hideaki Takahashi , Yang Liu , Ya-Qin Zhang

The paper gives a detailed presentation of a framework, embedded into the simply typed higher-order logic and aimed at the support of sound and structured reasoning about various properties of models of imperative programs with interleaved…

Logic in Computer Science · Computer Science 2024-07-16 Maksym Bortin

Frank-Wolfe (FW) algorithms have emerged as an essential class of methods for constrained optimization, especially on large-scale problems. In this paper, we summarize the algorithmic design choices and progress made in the last years of…

This paper introduces the first theoretical framework for quantifying the efficiency and performance gain opportunity size of adaptive inference algorithms. We provide new approximate and exact bounds for the achievable efficiency and…

Machine Learning · Computer Science 2024-02-08 Soheil Hor , Ying Qian , Mert Pilanci , Amin Arbabian

MOCVXPY is an open-source Python library for convex vector optimization. It is built on top of CVXPY, a domain-specific language for single-objective convex optimization. MOCVXPY enables practitioners to describe their convex vector…

Optimization and Control · Mathematics 2025-10-27 Ludovic Salomon , Daniel Dörfler , Andreas Löhne

As machine learning (ML) has seen increasing adoption in safety-critical domains (e.g., autonomous vehicles), the reliability of ML systems has also grown in importance. While prior studies have proposed techniques to enable efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Zitao Chen , Niranjhana Narayanan , Bo Fang , Guanpeng Li , Karthik Pattabiraman , Nathan DeBardeleben

We present classical and quantum algorithms based on spectral methods for a problem in tensor principal component analysis. The quantum algorithm achieves a quartic speedup while using exponentially smaller space than the fastest classical…

Quantum Physics · Physics 2020-03-04 M. B. Hastings

A recently introduced text classifier, called SS3, has obtained state-of-the-art performance on the CLEF's eRisk tasks. SS3 was created to deal with risk detection over text streams and, therefore, not only supports incremental training and…

Machine Learning · Computer Science 2020-07-21 Sergio G. Burdisso , Marcelo Errecalde , Manuel Montes-y-Gómez

We present ensmallen, a fast and flexible C++ library for mathematical optimization of arbitrary user-supplied functions, which can be applied to many machine learning problems. Several types of optimizations are supported, including…

Mathematical Software · Computer Science 2018-12-11 Shikhar Bhardwaj , Ryan R. Curtin , Marcus Edel , Yannis Mentekidis , Conrad Sanderson

Deep Learning (DL) algorithms have become the {\em de facto} choice for data analysis. Several DL implementations -- primarily limited to a single compute node -- such as Caffe, TensorFlow, Theano and Torch have become readily available.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-18 Abhinav Vishnu , Joseph Manzano , Charles Siegel , Jeff Daily

Tensor computations present significant performance challenges that impact a wide spectrum of applications ranging from machine learning, healthcare analytics, social network analysis, data mining to quantum chemistry and signal processing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-06 Jiajia Li , Mahesh Lakshminarasimhan , Xiaolong Wu , Ang Li , Catherine Olschanowsky , Kevin Barker

We report on the development of tools to calculate loop integrals and amplitudes beyond one loop. In particular, we review new features of the program SecDec which can be used for the numerical evaluation of parametric integrals like…

High Energy Physics - Phenomenology · Physics 2016-12-21 S. Borowka , G. Heinrich , S. Jahn , S. P. Jones , M. Kerner , J. Schlenk , T. Zirke

The research in AI-based formal mathematical reasoning has shown an unstoppable growth trend. These studies have excelled in mathematical competitions like IMO and have made significant progress. This paper focuses on formal verification,…

Artificial Intelligence · Computer Science 2025-06-10 Jialun Cao , Yaojie Lu , Meiziniu Li , Haoyang Ma , Haokun Li , Mengda He , Cheng Wen , Le Sun , Hongyu Zhang , Shengchao Qin , Shing-Chi Cheung , Cong Tian

We propose the QHyper library, which is aimed at researchers working on computational experiments with a variety of quantum combinatorial optimization solvers. The library offers a simple and extensible interface for formulating…

Mathematical Software · Computer Science 2024-09-25 Tomasz Lamża , Justyna Zawalska , Kacper Jurek , Mariusz Sterzel , Katarzyna Rycerz

Machine Learning and Data Mining (MLDM) algorithms are becoming increasingly important in analyzing large volume of data generated by simulations, experiments and mobile devices. With increasing data volume, distributed memory systems (such…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-21 Abhinav Vishnu , Charles Siegel , Jeffrey Daily
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