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https://doi.org/10.2...arrow_drop_down
https://doi.org/10.2139/ssrn.6...
Article . 2026 . Peer-reviewed
Data sources: Crossref
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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K–R Controlled Reservoir Computing for Enhanced Nonlinear Temporal Modeling and Long-Horizon Memory Dynamics

Authors: Pasupuleti, Ramakrishna;

K–R Controlled Reservoir Computing for Enhanced Nonlinear Temporal Modeling and Long-Horizon Memory Dynamics

Abstract

​Modeling nonlinear dynamical systems with long-horizon temporal dependencies remains a central challenge in data-driven analysis and time-series prediction. Conventional reservoir computing approaches, such as Echo State Networks (ESNs), provide efficient temporal modeling but often exhibit limited memory depth, sensitivity to parameter settings, and reduced stability when applied to delayed nonlinear processes. This work introduces a K–R controlled reservoir computing framework that restructures internal state dynamics to enhance nonlinear representation, temporal memory, and prediction stability without increasing reservoir size or architectural complexity.The proposed formulation integrates controlled nonlinear excitation, delay-embedded state construction, and stabilized readout learning to improve the separability and persistence of temporal features. The framework is evaluated on established nonlinear benchmarks, including the NARMA-30 process and the Mackey–Glass chaotic time series (τ = 30), which require modeling of delayed nonlinear interactions and long-range dependencies. Experimental results demonstrate substantial reductions in prediction error compared to a baseline ESN, along with increased memory capacity and improved robustness under noise and parameter variations.Analysis of reservoir state-space dynamics indicates that the K–R transformation enhances the geometric structure of temporal representations, enabling compact reservoirs to capture complex nonlinear behavior more effectively. The approach maintains computational efficiency while improving modeling reliability, making it suitable for data-driven analysis of nonlinear dynamical systems. These findings highlight the role of state-space restructuring in reservoir computing and provide a compact framework for modeling delayed nonlinear temporal processes in complex systems.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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