Cover Image

Proposal for the Application of Fractional Operators in Polynomial Regression Models to Enhance the Determination Coefficient $R^2$ on Unseen Data

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Torres-Hernandez, Anthony
Format:	Preprint
Published:	2025
Subjects:	Methodology Numerical Analysis Statistics Theory Computational Physics Data Analysis, Statistics and Probability
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Quantifying uncertainty in the numerical integration of evolution equations based on Bayesian isotonic regression
by: Miyatake, Yuto, et al.
Published: (2024)

Control of probability flow in Markov chain Monte Carlo -- Nonreversibility and lifting
by: Suwa, Hidemaro, et al.
Published: (2012)

Nonparametric estimation of homogenized invariant measures from multiscale data via Hermite expansion
by: Borodavka, Jaroslav I., et al.
Published: (2025)

Fitting an Equation to Data Impartially
by: Tofallis, Chris
Published: (2024)

On the statistical analysis of grouped data: when Pearson $χ^2$ and other divisible statistics are not goodness-of-fit tests
by: Algeri, Sara, et al.
Published: (2024)

Expansion of net correlations in terms of partial correlations
by: Arenaza, Bautista, et al.
Published: (2024)

Quadratic Point Estimate Method for Probabilistic Moments Computation
by: Ko, Minhyeok, et al.
Published: (2024)

What are You Weighting For? Improved Weights for Gaussian Mixture Filtering With Application to Cislunar Orbit Determination
by: Durant, Dalton, et al.
Published: (2024)

Contributions to Robust and Efficient Methods for Analysis of High Dimensional Data
by: Yang, Kai
Published: (2025)

Stability Analysis and Local Influence Diagnostics for an Extreme-Value Regression Model of Anomalous Wind Gusts
by: Lima, José I. C., et al.
Published: (2025)

Accelerating the Serviceability-Based Design of Reinforced Concrete Rail Bridges under Geometric Uncertainties induced by unforeseen events: A Surrogate Modeling approach
by: Achhab, Mouhammed, et al.
Published: (2025)

Identifying Intended Effects with Causal Models
by: Compagno, Dario
Published: (2024)

A feature-based information-theoretic approach for detecting interpretable, long-timescale pairwise interactions from time series
by: Nguyen, Aria, et al.
Published: (2024)

Inference through innovation processes tested in the authorship attribution task
by: Raffaelli, Giulio Tani, et al.
Published: (2023)

A surrogate-based approach to accelerate the design and build phases of reinforced concrete bridges
by: Achhab, Mouhammed, et al.
Published: (2025)

Approximation of High-Dimensional Gibbs Distributions with Functional Hierarchical Tensors
by: Sheng, Nan, et al.
Published: (2025)

Hybrid Weight Window Techniques for Time-Dependent Monte Carlo Neutronics
by: Shaw, Caleb S., et al.
Published: (2025)

Fast and accurate noise removal by curve fitting using orthogonal polynomials
by: Rosso, Andrea Gallo
Published: (2026)

Homomorphic data compression for real time photon correlation analysis
by: Strempfer, Sebastian, et al.
Published: (2024)

In search of rogue waves: a novel proposal distribution for parallelized rejection sampling of the truncated KdV Gibbs measure
by: Moore, Nicholas J., et al.
Published: (2024)

Testing maximum entropy models with e-values
by: Giuffrida, Francesca, et al.
Published: (2025)

A statistical mechanics approach to de-biasing and uncertainty estimation in LASSO for random measurements
by: Takahashi, Takashi, et al.
Published: (2018)

Non-Deterministic Extension of Plasma Wind Tunnel Data Calibrated Model Predictions to Flight Conditions
by: Rostkowski, Przemyslaw, et al.
Published: (2024)

Functional Renormalization for Signal Detection: Dimensional Analysis and Dimensional Phase Transition for Nearly Continuous Spectra Effective Field Theory
by: Finotello, Riccardo, et al.
Published: (2025)

PoissonRatioUQ: An R package for band ratio uncertainty quantification
by: LeDuc, Matthew, et al.
Published: (2026)

Identifiability and improper solutions in the probabilistic partial least squares regression with unique variance
by: Arai, Takashi
Published: (2025)

Evaluating the Uncertainty in Mean Residual Times: Estimators Based on Residence Times from Discrete Time Processes
by: Sánchez, Hernán R., et al.
Published: (2024)

Non-parametric finite-sample credible intervals with one-dimensional priors: a middle ground between Bayesian and frequentist intervals
by: Ritmeester, Tim
Published: (2026)

Testing of tempered fractional Brownian motions
by: Macioszek, Katarzyna, et al.
Published: (2025)

Disentangling high order effects in the transfer entropy
by: Stramaglia, Sebastiano, et al.
Published: (2024)

Variational Dimension Lifting for Robust Tracking of Nonlinear Stochastic Dynamics
by: Ashenafi, Yonatan L.
Published: (2026)

Local statistical moments to capture Kramers-Moyal coefficients
by: Wiedemann, Christian, et al.
Published: (2024)

Linear scaling causal discovery from high-dimensional time series by dynamical community detection
by: Allione, Matteo, et al.
Published: (2025)

Identifiable factor analysis for mixed continuous and binary variables based on the Gaussian-Grassmann distribution
by: Arai, Takashi
Published: (2025)

Multivariate extensions of the Multilevel Best Linear Unbiased Estimator for ensemble-variational data assimilation
by: Destouches, Mayeul, et al.
Published: (2023)

Thermodynamically rational decision making under uncertainty
by: Daimer, Dorian, et al.
Published: (2023)

Dissecting Spectral Granger Causality through Partial Information Decomposition
by: Faes, Luca, et al.
Published: (2026)

Stochastic Subspace via Probabilistic Principal Component Analysis for Characterizing Model Error
by: Yadav, Akash, et al.
Published: (2025)

Bayesian hypergraph inference from scarce and noisy dynamical observations
by: Tang, Katerina, et al.
Published: (2026)

Least Squares as Random Walks
by: Kostinski, Alexander, et al.
Published: (2025)