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Variational quantum algorithms (VQAs) have been considered to be useful applications of noisy intermediate-scale quantum (NISQ) devices. Typically, in the VQAs, a parametrized ansatz circuit is used to generate a trial wave function, and…

We study the stochastic linear bandits with heavy-tailed noise. Two principled strategies for handling heavy-tailed noise, truncation and median-of-means, have been introduced to heavy-tailed bandits. Nonetheless, these methods rely on…

Machine Learning · Computer Science 2025-06-13 Jing Wang , Yu-Jie Zhang , Peng Zhao , Zhi-Hua Zhou

Quaternion-valued representations provide a convenient way to model coupled multi-channel signals (e.g., RGB imagery, polarization data, vector fields, and multi-detector time series). Yet practical and numerically reliable software support…

Numerical Analysis · Mathematics 2026-03-26 Valentin Leplat , Salman Ahmadi-Asl , Junjun Pan , Henni Ouerdane , Michael Ng

$\mathcal{H}\Phi$ [$aitch$-$phi$] is an open-source software package of numerically exact and stochastic calculations for a wide range of quantum many-body systems. In this paper, we present the newly added functions and the implemented…

Strongly Correlated Electrons · Physics 2024-02-06 Kota Ido , Mitsuaki Kawamura , Yuichi Motoyama , Kazuyoshi Yoshimi , Youhei Yamaji , Synge Todo , Naoki Kawashima , Takahiro Misawa

Linear recurrent neural networks (LRNNs) provide a structured approach to sequence modeling that bridges classical linear dynamical systems and modern deep learning, offering both expressive power and theoretical guarantees on stability and…

Samples in large-scale datasets may be mislabeled due to various reasons, and Deep Neural Networks can easily over-fit to the noisy label data. To tackle this problem, the key point is to alleviate the harm of these noisy labels. Many…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Xuefeng Liang , Longshan Yao , Xingyu Liu , Ying Zhou

Non-intrusive load monitoring (NILM), as a key load monitoring technology, can much reduce the deployment cost of traditional power sensors. Previous research has largely focused on developing cloud-exclusive NILM algorithms, which often…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Junyu Xue , Yu Zhang , Xudong Wang , Yi Wang , Guoming Tang

Variational Hybrid Quantum Classical Algorithms (VHQCAs) are a class of quantum algorithms intended to run on noisy intermediate-scale quantum (NISQ) devices. These algorithms employ a parameterized quantum circuit (ansatz) and a…

Quantum Physics · Physics 2021-06-17 Aidan Pellow-Jarman , Ilya Sinayskiy , Anban Pillay , Francesco Petruccione

For the generalized statistical mechanics based on the Tsallis entropy, a variational perturbation approximation method with the principle of minimal sensitivity is developed by calculating the generalized free energy up to the third order…

Statistical Mechanics · Physics 2007-05-23 Wen-Fa Lu

Efficiently solving nonlinear equations underpins numerous scientific and engineering disciplines, yet scaling these solutions for challenging system models remains a challenge. This paper presents NonlinearSolve.jl -- a suite of…

Reproducibility in research remains hindered by complex systems involving data, models, tools, and algorithms. Studies highlight a reproducibility crisis due to a lack of standardized reporting, code and data sharing, and rigorous…

Software Engineering · Computer Science 2024-11-05 Venkat S. Malladi , Maria Yazykova , Olesya Melnichenko , Yulia Dubinina

Nowadays electrical impedance spectroscopy (EIS) has become an advanced experimental technique with a wide range of applications: from simple passive circuits diagnostics to semiconductor high-end device development and breakthrough…

Applied Physics · Physics 2025-06-04 Natalia A. Boitsova , Anna A. Abelit , Daniil D. Stupin

Fast, incremental evolution of physics instrumentation raises the question of efficient software abstraction and transferability of algorithms across similar technologies. This contribution aims to provide an answer by introducing Track…

Instrumentation and Detectors · Physics 2024-01-08 Petr Mánek , Petr Burian , Eric David-Bosne , Petr Smolyanskiy , Benedikt Bergmann

The universal quantum computation model based on quantum walk by Childs has opened the door for a new way of studying the limitations and advantages of quantum computation, as well as for its intermediate-term simulation. In recent years,…

Quantum Physics · Physics 2022-02-08 Noa Feldman , Moshe Goldstein

Quantum computing is on the cusp of reality with Noisy Intermediate-Scale Quantum (NISQ) machines currently under development and testing. Some of the most promising algorithms for these machines are variational algorithms that employ…

In the current era of noisy intermediate-scale quantum (NISQ) technology, quantum devices present new avenues for addressing complex, real-world challenges including potentially NP-hard optimization problems. Acknowledging the fact that…

Quantum Physics · Physics 2025-08-15 Krzysztof Domino , Emery Doucet , Reece Robertson , Bartłomiej Gardas , Sebastian Deffner

This report provides an introduction to the ensmallen numerical optimization library, as well as a deep dive into the technical details of how it works. The library provides a fast and flexible C++ framework for mathematical optimization of…

Mathematical Software · Computer Science 2023-11-16 Ryan R. Curtin , Marcus Edel , Rahul Ganesh Prabhu , Suryoday Basak , Zhihao Lou , Conrad Sanderson

This paper describes Nancy, a Network Calculus (NC) library that allows users to perform complex min-plus and max-plus algebra operations efficiently. To the best of our knowledge, Nancy is the only open-source library that implements…

Networking and Internet Architecture · Computer Science 2023-07-10 Raffaele Zippo , Giovanni Stea

There is a recent interest in neural network (NN)-based communication algorithms which have shown to achieve (beyond) state-of-the-art performance for a variety of problems or lead to reduced implementation complexity. However, most work on…

Information Theory · Computer Science 2019-02-20 Fayçal Ait Aoudia , Jakob Hoydis

Recently, graph neural networks (GNNs) have been successfully used for a variety of particle reconstruction problems in high energy physics, including particle tracking. The Exa.TrkX pipeline based on GNNs demonstrated promising performance…