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This work studies approximation based on single-hidden-layer feedforward and recurrent neural networks with randomly generated internal weights. These methods, in which only the last layer of weights and a few hyperparameters are optimized,…

概率论 · 数学 2021-02-17 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega

We report an improvement to the conventional Echo State Network (ESN) across three benchmark chaotic time-series prediction tasks using fruit fly connectome data alone. We also investigate the impact of key connectome-derived structural…

机器学习 · 计算机科学 2023-02-13 Jacob Morra , Mark Daley

Accurate localization of brain regions responsible for language and cognitive functions in Epilepsy patients should be carefully determined prior to surgery. Electrocorticography (ECoG)-based Real Time Functional Mapping (RTFM) has been…

神经元与认知 · 定量生物学 2017-08-08 Harish RaviPrakash , Milena Korostenskaja , Eduardo Castillo , Ki Lee , James Baumgartner , Ulas Bagci

Recurrent neural networks (RNNs) can be interpreted as discrete-time state-space models, where the state evolution corresponds to an infinite-impulse-response (IIR) filtering operation governed by both feedforward weights and recurrent…

机器学习 · 计算机科学 2026-02-26 Alexander Morgan , Ummay Sumaya Khan , Lingjia Liu , Lizhong Zheng

Local Fr'echet Regression (LFR) is a nonparametric regression method for settings in which the explanatory variable lies in a Euclidean space and the response variable lies in a metric space. It is used to estimate smooth trajectories in…

统计理论 · 数学 2025-07-08 Yuki Iida , Hiroshi Shiraishi , Hiroaki Ogata

A reservoir computer is a special type of neural network, where most of the weights are randomly fixed and only a subset are trained. In this thesis we prove results about reservoir computers trained on deterministic dynamical systems, and…

动力系统 · 数学 2021-12-28 Allen G Hart

In this paper, we elaborate over the well-known interpretability issue in echo state networks. The idea is to investigate the dynamics of reservoir neurons with time-series analysis techniques taken from research on complex systems.…

数据分析、统计与概率 · 物理学 2016-11-21 Filippo Maria Bianchi , Lorenzo Livi , Cesare Alippi

We investigate the ability of an ensemble reservoir computing approach to predict the long-term behaviour of the phase-space region in which the motion of charged particles in hadron storage rings is bounded, the so-called dynamic aperture.…

加速器物理 · 物理学 2023-01-18 Maxime Casanova , Barbara Dalena , Luca Bonaventura , Massimo Giovannozzi

Echo State Networks (ESNs) are widely-used Recurrent Neural Networks. They are dynamical systems including, in state-space form, a nonlinear state equation and a linear output transformation. The common procedure to train ESNs is to…

系统与控制 · 电气工程与系统科学 2019-12-05 Luca Bugliari Armenio , Lorenzo Fagiano , Enrico Terzi , Marcello Farina , Riccardo Scattolini

Regression is an important task in machine learning and data mining. It has several applications in various domains, including finance, biomedical, and computer vision. Recently, network Lasso, which estimates local models by making…

机器学习 · 计算机科学 2020-03-13 Mathis Petrovich , Makoto Yamada

Behavior can be described as a temporal sequence of actions driven by neural activity. To learn complex sequential patterns in neural networks, memories of past activities need to persist on significantly longer timescales than the…

神经元与认知 · 定量生物学 2024-09-30 Laura Kriener , Kristin Völk , Ben von Hünerbein , Federico Benitez , Walter Senn , Mihai A. Petrovici

Classical neural network approximation results take the form: for every function $f$ and every error tolerance $\epsilon > 0$, one constructs a neural network whose architecture and weights depend on $\epsilon$. This paper introduces a…

神经与进化计算 · 计算机科学 2025-11-20 Clemens Hutter , Valentin Abadie , Helmut Bölcskei

Recurrent neural networks are a widely used class of neural architectures. They have, however, two shortcomings. First, it is difficult to understand what exactly they learn. Second, they tend to work poorly on sequences requiring long-term…

机器学习 · 计算机科学 2019-05-08 Cheng Wang , Mathias Niepert

Ejection fraction (EF) of the left ventricle (LV) is considered as one of the most important measurements for diagnosing acute heart failure and can be estimated during cardiac ultrasound acquisition. While recent successes in deep learning…

计算机视觉与模式识别 · 计算机科学 2024-11-01 Sarina Thomas , Qing Cao , Anna Novikova , Daria Kulikova , Guy Ben-Yosef

The Fr\'echet regression is a useful method for modeling random objects in a general metric space given Euclidean covariates. However, the conventional approach could be sensitive to outlying objects in the sense that the distance from the…

统计计算 · 统计学 2026-01-21 Hao Li , Shonosuke Sugasawa , Shota Katayama

Neuro-inspired recurrent neural network algorithms, such as echo state networks, are computationally lightweight and thereby map well onto untethered devices. The baseline echo state network algorithms are shown to be efficient in solving…

机器学习 · 计算机科学 2019-03-27 Zachariah Carmichael , Humza Syed , Stuart Burtner , Dhireesha Kudithipudi

Recurrent neural networks (RNNs) have recently achieved remarkable successes in a number of applications. However, the huge sizes and computational burden of these models make it difficult for their deployment on edge devices. A practically…

机器学习 · 计算机科学 2019-12-10 Liangjian Wen , Xuanyang Zhang , Haoli Bai , Zenglin Xu

Random forest (RF) is one of the most popular methods for estimating regression functions. The local nature of the RF algorithm, based on intra-node means and variances, is ideal when errors are i.i.d. For dependent error processes like…

机器学习 · 统计学 2021-06-29 Arkajyoti Saha , Sumanta Basu , Abhirup Datta

Recurrent stochastic configuration networks (RSCNs) are a class of randomized learner models that have shown promise in modelling nonlinear dynamics. In many fields, however, the data generated by industry systems often exhibits…

机器学习 · 计算机科学 2024-10-15 Gang Dang , Dianhui Wang

Most speech enhancement algorithms make use of the short-time Fourier transform (STFT), which is a simple and flexible time-frequency decomposition that estimates the short-time spectrum of a signal. However, the duration of short STFT…

声音 · 计算机科学 2015-09-03 Scott Wisdom , Thomas Powers , Les Atlas , James Pitton