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In many population-based medical studies, the specific cause of death is unidentified, unreliable or even unavailable. Relative survival analysis addresses this scenario, outside of standard (competing risks) survival analysis, to…

Computation · Statistics 2024-08-29 Rim Alhajal , Oskar Laverny

The increasing popularity of machine learning solutions puts increasing restrictions on this field if it is to penetrate more aspects of life. In particular, energy efficiency and speed of operation is crucial, inter alia in portable…

Emerging Technologies · Computer Science 2020-01-14 Dawid Przyczyna , Sébastien Pecqueur , Dominique Vuillaume , Konrad Szaciłowski

We introduce ACEpotentials.jl, a Julia-language software package that constructs interatomic potentials from quantum mechanical reference data using the Atomic Cluster Expansion (Drautz, 2019). As the latter provides a complete description…

OpenReservoirComputing (ORC) is a Python library for reservoir computing (RC) written in JAX (Bradbury et al. 2018) and Equinox (Kidger and Garcia 2021). JAX is a Python library for high-performance numerical computing that enables…

Machine Learning · Computer Science 2026-03-17 Jan Williams , Dima Tretiak , Steven L. Brunton , J. Nathan Kutz , Krithika Manohar

Reservoir computing is a type of a recurrent neural network, mapping the inputs into higher dimensional space using fixed and nonlinear dynamical systems, called reservoirs. In the literature, there are various types of reservoirs ranging…

Computational Engineering, Finance, and Science · Computer Science 2025-06-06 Mehmet Aziz Yirik , Jakob Lykke Andersen , Rolf Fagerberg , Daniel Merkle

We present Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic partial differential equations. Utilizing Julia's strengths, Trixi.jl is extensible, easy to use, and fast. We describe the main design choices…

Mathematical Software · Computer Science 2022-01-19 Hendrik Ranocha , Michael Schlottke-Lakemper , Andrew R. Winters , Erik Faulhaber , Jesse Chan , Gregor J. Gassner

Reservoir Computing is a relatively recent computational framework based on a large Recurrent Neural Network with fixed weights. Many physical implementations of Reservoir Computing have been proposed to improve speed and energy efficiency.…

Emerging Technologies · Computer Science 2019-09-10 Jonathan Dong , Mushegh Rafayelyan , Florent Krzakala , Sylvain Gigan

Increasing emphasis on data and quantitative methods in the biomedical sciences is making biological research more computational. Collecting, curating, processing, and analysing large genomic and imaging data sets poses major computational…

Quantitative Methods · Quantitative Biology 2021-09-22 Elisabeth Roesch , Joe G. Greener , Adam L. MacLean , Huda Nassar , Christopher Rackauckas , Timothy E. Holy , Michael P. H. Stumpf

The Reservoir Computing (RC) paradigm utilizes a dynamical system, i.e., a reservoir, and a linear classifier, i.e., a read-out layer, to process data from sequential classification tasks. In this paper the usage of Cellular Automata (CA)…

Emerging Technologies · Computer Science 2017-02-14 Stefano Nichele , Magnus S. Gundersen

Dynamic languages have become popular for scientific computing. They are generally considered highly productive, but lacking in performance. This paper presents Julia, a new dynamic language for technical computing, designed for performance…

Programming Languages · Computer Science 2012-09-25 Jeff Bezanson , Stefan Karpinski , Viral B. Shah , Alan Edelman

We present Groebner.jl, a Julia package for computing Groebner bases with the F4 algorithm. Groebner.jl is an efficient, portable, and open-source software. Groebner.jl works over integers modulo a prime and over the rationals, supports…

Mathematical Software · Computer Science 2024-02-13 Alexander Demin , Shashi Gowda

Third-party libraries are crucial to the development of software projects. To get suitable libraries, developers need to search through millions of libraries by filtering, evaluating, and comparing. The vast number of libraries places a…

Software Engineering · Computer Science 2020-05-26 Zhensu Sun , Yan Liu , Ziming Cheng , Chen Yang , Pengyu Che

Reservoir computing is a subfield of machine learning in which a complex system, or 'reservoir,' uses complex internal dynamics to non-linearly project an input into a higher-dimensional space. A single trainable output layer then inspects…

Emerging Technologies · Computer Science 2019-06-18 Wilkie Olin-Ammentorp , Karsten Beckmann , Nathaniel C. Cady

Physical reservoir computing is a computational framework that offers an energy- and computation-efficient alternative to conventional training of neural networks. In reservoir computing, input signals are mapped into the high-dimensional…

Soft Condensed Matter · Physics 2026-01-12 Veit-Lorenz Heuthe , Lukas Seemann , Samuel Tovey , Clemens Bechinger

We introduce a novel framework of reservoir computing. Cellular automaton is used as the reservoir of dynamical systems. Input is randomly projected onto the initial conditions of automaton cells and nonlinear computation is performed on…

Neural and Evolutionary Computing · Computer Science 2014-10-02 Ozgur Yilmaz

Reservoir Computing is a machine learning approach that uses the rich repertoire of complex system dynamics for function approximation. Current approaches to reservoir computing use a network of coupled integrating neurons that require a…

Neural and Evolutionary Computing · Computer Science 2025-07-30 Alexander Yeung , Peter DelMastro , Arjun Karuvally , Hava Siegelmann , Edward Rietman , Hananel Hazan

Ai4EComponentLib.jl(Ai4EComponentLib) is a component-base model library based on Julia language, which relies on the differential equation solver DifferentialEquations.jl and the symbolic modeling tool Modelingtoolkit.jl. To handle problems…

Software Engineering · Computer Science 2022-08-25 Yuebao Yang , Jingyi Yang , Mingtao Li

In the nonlinear timeseries analysis literature, countless quantities have been presented as new ``entropy'' or ``complexity'' measures, often with similar roles. The ever-increasing pool of such measures makes creating a sustainable and…

Software Engineering · Computer Science 2025-09-25 George Datseris , Kristian Agasøster Haaga

This year marks the consolidation of Julia (https://julialang.org/), a programming language designed for scientific computing, as the first stable version (1.0) has been released, in August 2018. Among its main features, expressiveness and…

Instrumentation and Methods for Astrophysics · Physics 2018-12-05 Maurizio Tomasi , Mosè Giordano

Transverse contraction methods are extremely promising tools for the efficient contraction of tensor networks associated with the time evolution of quantum many-body systems, allowing in some cases to circumvent the entanglement barrier…

Quantum Physics · Physics 2026-01-14 Stefano Carignano