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Applied Research, Volume 5, Issue 5, October 2026.UniNS is a hybrid neuro‐symbolic framework that simulates nanoscale swarms in tumor microenvironments by coupling mesoscopic hydrodynamics with structure‐regularized causal discovery. It reduces biochemical prediction errors by 27.3% and dynamically prevents spurious correlations, offering a scalable, thermodynamically consistent testbed for precision ...
Xinyuan Chen +3 more
wiley +1 more source
Advances in causal discovery methods for ecological time series
Biological Reviews, Volume 101, Issue 5, Page 2313-2336, October 2026.ABSTRACT Recent advances in data collection technologies (e.g. automated sensor networks, satellite remote sensing, and high‐throughput sequencing) have greatly expanded the availability of ecological time series, enabling new opportunities for causal analyses in dynamic ecosystems.
Kenta Suzuki +6 more
wiley +1 more source
High-order volterra model predictive control and its application to a nonlinear polymerisation process [PDF]
, 2005 Model Predictive Control (MPC) has recently found wide acceptance in the process industry, but the existing design and implementation methods are restricted to linear process models. A chemical process involves, however, severe nonlinearity which cannot
Kashiwagi, H., Li, Y.
core +1 more source
Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM
Abstract and Applied Analysis, 2013 The two-dimensional Volterra integral equations are solved using more recent semianalytic method, the reduced differential transform method (the so-called RDTM), and compared with the differential transform method (DTM).
Reza Abazari, Adem Kılıçman
doaj +1 more source
iMetaOmics, Volume 3, Issue 3, September 2026.This graphical abstract presents a novel Diet‐Artificial Intelligence (AI)‐intestinal Microbiota–Host Health paradigm integrating microbiota‐centric pathways and an AI‐driven multi‐omics workflow. Diet shapes gut bacteria that regulate intestinal mucosal integrity, immune signaling, and gut–brain neurotransmitters to influence host health.
Tianle He +16 more
wiley +1 more source
Finite‐Block Polynomial and Volterra Structure in Reservoir Computing
Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
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Methods in Ecology and Evolution, Volume 17, Issue 8, Page 2510-2523, August 2026.Abstract Ecologists are adapting structural causal modelling for spatial, phylogenetic and time‐series analysis. However, ecological extensions of path analysis and structural equation models (SEM) typically assume that interactions among variables are stationary, linear and additive, while ecological and evolutionary dynamics are often nonstationary ...
James T. Thorson, Kasper Kristensen
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ALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONS [PDF]
Journal of Sciences, Islamic Republic of Iran, 1999 Here a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and ...
doaj
On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation
Journal of Function Spaces, 2014 We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique
Tomasz Zając
doaj +1 more source