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Machine learning recently proved efficient in learning differential equations and dynamical systems from data. However, the data is commonly assumed to originate from a single never-changing system. In contrast, when modeling real-world…

Machine Learning · Computer Science 2022-06-28 Leonard Bereska , Efstratios Gavves

We present an in-place algorithm for the partition problem that has linear work and polylogarithmic span. The algorithm uses only exclusive read/write shared variables, and can be implemented using parallel-for-loops without any additional…

Data Structures and Algorithms · Computer Science 2020-07-10 William Kuszmaul , Alek Westover

Electroencephalography (EEG) classification plays a key role in brain-computer interface (BCI) systems, yet it remains challenging due to the low signal-to-noise ratio, temporal variability of neural responses, and limited data…

Artificial Intelligence · Computer Science 2026-03-17 Aryan Patodiya , Hubert Cecotti

Recently, machine learning methods have provided a broad spectrum of original and efficient algorithms based on Deep Neural Networks (DNN) to automatically predict an outcome with respect to a sequence of inputs. Recurrent hidden cells…

Machine Learning · Computer Science 2017-02-15 Mohamed Bouaziz , Mohamed Morchid , Richard Dufour , Georges Linarès , Renato De Mori

Reservoir computers (RCs) are powerful machine learning architectures for time series prediction. Recently, next generation reservoir computers (NGRCs) have been introduced, offering distinct advantages over RCs, such as reduced…

Machine Learning · Computer Science 2024-06-07 Ravi Chepuri , Dael Amzalag , Thomas Antonsen , Michelle Girvan

The prefrontal cortex is known to be involved in many high-level cognitive functions, in particular, working memory. Here, we study to what extent a group of randomly connected units (namely an Echo State Network, ESN) can store and…

Neurons and Cognition · Quantitative Biology 2018-06-19 Anthony Strock , Nicolas Rougier , Xavier Hinaut

Quantum reservoir computing uses the dynamics of quantum systems to process temporal data, making it particularly well-suited for machine learning with noisy intermediate-scale quantum devices. Recent developments have introduced…

Quantum Physics · Physics 2026-02-25 Lukas Gonon , Rodrigo Martínez-Peña , Juan-Pablo Ortega

Parallel scaling has emerged as a powerful paradigm to enhance reasoning capabilities in large language models (LLMs) by generating multiple Chain-of-Thought (CoT) traces simultaneously. However, this approach introduces significant…

Computation and Language · Computer Science 2026-04-17 Shangqing Tu , Yaxuan Li , Yushi Bai , Lei Hou , Juanzi Li

Echo state network (ESN) is viewed as a temporal non-orthogonal expansion with pseudo-random parameters. Such expansions naturally give rise to regressors of various relevance to a teacher output. We illustrate that often only a certain…

Machine Learning · Statistics 2012-07-03 Ján Dolinský , Kei Hirose , Sadanori Konishi

The Reservoir Computing (RC) paradigm posits that sufficiently complex physical systems can be used to massively simplify pattern recognition tasks and nonlinear signal prediction. This work demonstrates how random topological magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Daniele Pinna , George Bourianoff , Karin Everschor-Sitte

Recurrent Neural Network (RNN) has been widely applied for sequence modeling. In RNN, the hidden states at current step are full connected to those at previous step, thus the influence from less related features at previous step may…

Computation and Language · Computer Science 2017-05-04 Danhao Zhu , Si Shen , Xin-Yu Dai , Jiajun Chen

Parallel test-time scaling (TTS) is a pivotal approach for enhancing large language models (LLMs), typically by sampling multiple token-based chains-of-thought in parallel and aggregating outcomes through voting or search. Recent advances…

Computation and Language · Computer Science 2026-04-21 Runyang You , Yongqi Li , Meng Liu , Wenjie Wang , Liqiang Nie , Wenjie Li

Echo-State Networks and Reservoir Computing have been studied for more than a decade. They provide a simpler yet powerful alternative to Recurrent Neural Networks, every internal weight is fixed and only the last linear layer is trained.…

Emerging Technologies · Computer Science 2018-09-25 Jonathan Dong , Sylvain Gigan , Florent Krzakala , Gilles Wainrib

Pipeline parallelism (PP) when training neural networks enables larger models to be partitioned spatially, leading to both lower network communication and overall higher hardware utilization. Unfortunately, to preserve the statistical…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-11 Bowen Yang , Jian Zhang , Jonathan Li , Christopher Ré , Christopher R. Aberger , Christopher De Sa

This paper presents our work on developing parallel computational methods for two-phase flow on modern parallel computers, where techniques for linear solvers and nonlinear methods are studied and the standard and inexact Newton methods are…

Computational Engineering, Finance, and Science · Computer Science 2017-01-24 Hui Liu , Lihua Shen , Yan Chen , Kun Wang , Bo Yang , Zhangxin Chen

Quantum machine learning represents a promising avenue for data processing, also for purposes of sequential temporal data analysis, as recently proposed in quantum reservoir computing (QRC). The possibility to operate on several platforms…

The proliferation of deep learning applications has intensified the demand for electronic hardware with low energy consumption and fast computing speed. Neuromorphic photonics have emerged as a viable alternative to directly process…

Applied Physics · Physics 2025-06-24 Guangfeng You , Chao Qian , Hongsheng Chen

Recent advances in reasoning models have demonstrated significant improvements in accuracy by employing detailed and comprehensive reasoning processes. However, generating these lengthy reasoning sequences is computationally expensive and…

Computation and Language · Computer Science 2025-08-27 Yijiong Yu

Reservoir computing (RC) harnesses the intrinsic dynamics of a chaotic system, called the reservoir, to perform various time-varying functions. An important use-case of RC is the generation of target temporal sequences via a trainable…

Chaotic Dynamics · Physics 2024-11-07 Daoyuan Qian , Ila Fiete

This paper proposes a parallelizable algorithm for linear-quadratic model predictive control (MPC) problems with state and input constraints. The algorithm itself is based on a parallel MPC scheme that has originally been designed for…

Optimization and Control · Mathematics 2022-07-04 Jiahe Shi , Yuning Jiang , Juraj Oravec , Boris Houska
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