The Optimal Linear B-splines Approximation via Kolmogorov Superposition Theorem and its Application
Fuente:
arXiv
Saved in:
| Main Authors: | Lai, Ming-Jun, Shen, Zhaiming |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
The Kolmogorov Superposition Theorem can Break the Curse of Dimensionality When Approximating High Dimensional Functions
by: Lai, Ming-Jun, et al.
Published: (2021)
by: Lai, Ming-Jun, et al.
Published: (2021)
Maximal Volume Matrix Cross Approximation for Image Compression and Least Squares Solution
by: Allen, Kenneth, et al.
Published: (2023)
by: Allen, Kenneth, et al.
Published: (2023)
Graph-based Semi-supervised Local Clustering with Few Labeled Nodes
by: Shen, Zhaiming, et al.
Published: (2022)
by: Shen, Zhaiming, et al.
Published: (2022)
Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights
by: Shen, Zhaiming, et al.
Published: (2025)
by: Shen, Zhaiming, et al.
Published: (2025)
Variable decoupling and the Kolmogorov Superposition Theorem for rational functions
by: Antoulas, A. C., et al.
Published: (2026)
by: Antoulas, A. C., et al.
Published: (2026)
Understanding In-Context Learning for Nonlinear Regression with Transformers: Attention as Featurizer
by: Hsu, Alexander, et al.
Published: (2026)
by: Hsu, Alexander, et al.
Published: (2026)
Sinusoidal Approximation Theorem for Kolmogorov-Arnold Networks
by: Gleyzer, Sergei, et al.
Published: (2025)
by: Gleyzer, Sergei, et al.
Published: (2025)
Error Estimates for Sparse Tensor Products of B-spline Approximation Spaces
by: Guillet, Clément
Published: (2025)
by: Guillet, Clément
Published: (2025)
On the normalization of trigonometric and hyperbolic B-splines
by: Speleers, Hendrik
Published: (2025)
by: Speleers, Hendrik
Published: (2025)
Explicit Construction of Approximate Kolmogorov Superpositions with C2 Smoothness
by: Song, Lunji, et al.
Published: (2025)
by: Song, Lunji, et al.
Published: (2025)
Curve and surface construction with moving B-splines
by: Yang, Xunnian
Published: (2023)
by: Yang, Xunnian
Published: (2023)
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II
by: Dahlke, Stephan, et al.
Published: (2006)
by: Dahlke, Stephan, et al.
Published: (2006)
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings I
by: Dahlke, Stephan, et al.
Published: (2006)
by: Dahlke, Stephan, et al.
Published: (2006)
Approximate Duals of B-splines for the Exact Representation of Splines on Coarse Knot Vectors
by: Stöckler, Joachim
Published: (2025)
by: Stöckler, Joachim
Published: (2025)
Numerical integration rules based on B-spline bases
by: Yáñez, Dionisio F.
Published: (2024)
by: Yáñez, Dionisio F.
Published: (2024)
B-spline-Based ALE-MFS Framework for Evolving Domains
by: Ammad, Muhammad, et al.
Published: (2026)
by: Ammad, Muhammad, et al.
Published: (2026)
A time-space B-spline integrator for the Burgers' equation
by: Dag, Idris, et al.
Published: (2025)
by: Dag, Idris, et al.
Published: (2025)
Randomized progressive iterative approximation for B-spline curve and surface fittings
by: Wu, Nian-Ci, et al.
Published: (2022)
by: Wu, Nian-Ci, et al.
Published: (2022)
Left Inverses for B-spline Subdivision Matrices in Tensor-Product Spaces
by: Actis, Marcelo, et al.
Published: (2025)
by: Actis, Marcelo, et al.
Published: (2025)
Forms of representation of interpolation trigonometric splines
by: Denysiuk, Volodymyr, et al.
Published: (2024)
by: Denysiuk, Volodymyr, et al.
Published: (2024)
Polynomial preserving recovery for PHT-splines
by: Cai, Ying, et al.
Published: (2025)
by: Cai, Ying, et al.
Published: (2025)
B-spline periodization of Fourier pseudo-spectral method for non-periodic problems
by: Li, Dongan, et al.
Published: (2025)
by: Li, Dongan, et al.
Published: (2025)
A BDF B-spline Method for a Nonlocal Tumor Growth Model
by: Abderrahman, Bouhamidi, et al.
Published: (2025)
by: Abderrahman, Bouhamidi, et al.
Published: (2025)
Finite Fourier series. The class of trigonometric splines
by: Denysiuk, Volodymyr, et al.
Published: (2025)
by: Denysiuk, Volodymyr, et al.
Published: (2025)
An adaptive low-rank splitting approach for the extended Fisher--Kolmogorov equation
by: Zhao, Yong-Liang, et al.
Published: (2022)
by: Zhao, Yong-Liang, et al.
Published: (2022)
Normalized B-spline-like representation for low-degree Hermite osculatory interpolation problems
by: Boushabi, M., et al.
Published: (2024)
by: Boushabi, M., et al.
Published: (2024)
Tree-cotree gauging for two-dimensional hierarchical splines
by: Merkel, Melina, et al.
Published: (2025)
by: Merkel, Melina, et al.
Published: (2025)
A note on some bounds between cubic spline interpolants depending on the boundary conditions: Application to a monotonicity property
by: Baeza, Antonio, et al.
Published: (2024)
by: Baeza, Antonio, et al.
Published: (2024)
Approximation Rates in Besov Norms and Sample-Complexity of Kolmogorov-Arnold Networks with Residual Connections
by: Kratsios, Anastasis, et al.
Published: (2025)
by: Kratsios, Anastasis, et al.
Published: (2025)
A DEIM Tucker Tensor Cross Algorithm and its Application to Dynamical Low-Rank Approximation
by: Ghahremani, Behzad, et al.
Published: (2024)
by: Ghahremani, Behzad, et al.
Published: (2024)
Moments of Dirichlet splines and their applications to hypergeometric functions
by: Neuman, Edward, et al.
Published: (1993)
by: Neuman, Edward, et al.
Published: (1993)
Quadrature rules for splines of high smoothness on uniformly refined triangles
by: Eddargani, Salah, et al.
Published: (2024)
by: Eddargani, Salah, et al.
Published: (2024)
Discrete tensor product BGG sequences: splines and finite elements
by: Bonizzoni, Francesca, et al.
Published: (2023)
by: Bonizzoni, Francesca, et al.
Published: (2023)
Isogeometric analysis with $C^1$ cubic Powell-Sabin splines
by: Grošelj, Jan, et al.
Published: (2026)
by: Grošelj, Jan, et al.
Published: (2026)
Robust path following for autonomous vehicles with spatial PH quintic splines
by: Calabrò, Vincenzo, et al.
Published: (2024)
by: Calabrò, Vincenzo, et al.
Published: (2024)
Polynomial-free unisolvence of polyharmonic splines with odd exponent by random sampling
by: Sommariva, Alvise, et al.
Published: (2024)
by: Sommariva, Alvise, et al.
Published: (2024)
Local power of approximation in hierarchical spline spaces on weakly admissible meshes
by: Lezcano, Gustavo A. Fernandez, et al.
Published: (2026)
by: Lezcano, Gustavo A. Fernandez, et al.
Published: (2026)
Efficient spline orthogonal basis for representation of density functions
by: Burkotová, Jana, et al.
Published: (2024)
by: Burkotová, Jana, et al.
Published: (2024)
Unisolvence of Kansa collocation for elliptic equations by polyharmonic splines with random fictitious centers
by: Mohammadi, Maryam, et al.
Published: (2024)
by: Mohammadi, Maryam, et al.
Published: (2024)
A posteriori error estimates for hypersingular integral equation on spheres with spherical splines
by: Pham, Duong Thanh, et al.
Published: (2019)
by: Pham, Duong Thanh, et al.
Published: (2019)
Similar Items
-
The Kolmogorov Superposition Theorem can Break the Curse of Dimensionality When Approximating High Dimensional Functions
by: Lai, Ming-Jun, et al.
Published: (2021) -
Maximal Volume Matrix Cross Approximation for Image Compression and Least Squares Solution
by: Allen, Kenneth, et al.
Published: (2023) -
Graph-based Semi-supervised Local Clustering with Few Labeled Nodes
by: Shen, Zhaiming, et al.
Published: (2022) -
Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights
by: Shen, Zhaiming, et al.
Published: (2025) -
Variable decoupling and the Kolmogorov Superposition Theorem for rational functions
by: Antoulas, A. C., et al.
Published: (2026)