Latest Articles for Approximation

Number Theory Diophantine Approximation in Linear Subspaces

Exploring approximation of linear subspaces with rational numbers through Diophantine exponents.

2025-07-18T08:43:37+00:00 ― 5 min read

Numerical Analysis The Role of Digital Nets in Modern Calculations

Discover how digital nets improve efficiency in complex mathematical tasks.

2025-07-16T23:57:22+00:00 ― 4 min read

Data Structures and Algorithms Tackling the Traveling Salesperson Problem

New methods improve approximate solutions for the Traveling Salesperson Problem.

2025-07-15T01:08:00+00:00 ― 5 min read

Statistical Mechanics Improving Approximations of Modified Bessel Functions

A method to enhance the accuracy of Bessel function approximations for real-world applications.

2025-07-14T18:37:42+00:00 ― 5 min read

Number Theory Probability and Approximations in Mathematics

A look at the concepts of probability and number approximations.

2025-07-13T16:52:09+00:00 ― 5 min read

Optimization and Control Simplifying Mixed-Integer Nonlinear Programming with Paraboloid Approximations

This paper discusses a method to speed up solving MINLP problems using paraboloids.

2025-07-09T01:26:54+00:00 ― 6 min read

Machine Learning Advancements in Random Fourier Neural Networks Training

A novel algorithm enhances training efficiency for Random Fourier Neural Networks.

2025-06-30T01:16:40+00:00 ― 6 min read

Machine Learning Enhancing Neural Network Safety through Preimage Approximation

A new method improves the safety verification of neural networks in critical systems.

2025-06-26T14:51:54+00:00 ― 5 min read

Numerical Analysis Adaptive Methods for Vector Approximation

Exploring a flexible approach to approximate vectors using random information.

2025-06-26T11:31:11+00:00 ― 5 min read

Distributed, Parallel, and Cluster Computing Efficient Algorithms for Dominating Sets in Graphs

Research focuses on efficient algorithms for dominating sets in complex networks.

2025-06-23T03:07:30+00:00 ― 5 min read

Algebraic Geometry Approximating Functions on Algebraic Varieties

This article examines function approximation in algebraic varieties using the Relative Stone-Weierstrass theorem.

2025-06-20T14:23:12+00:00 ― 5 min read

Data Structures and Algorithms Challenges in the Max Disjoint Paths Problem

Examining the complexity of connecting pairs in acyclic directed graphs.

2025-06-16T14:58:06+00:00 ― 5 min read

High Energy Physics - Phenomenology Clarifying Misconceptions in Quantum Chromodynamics

Exploring common misunderstandings about Quantum Chromodynamics and its measurement.

2025-06-15T19:14:57+00:00 ― 5 min read

Algebraic Topology Bifiltrations: A New Approach to Data Analysis

Exploring bifiltrations for improved data analysis and outlier management.

2025-06-15T01:59:33+00:00 ― 4 min read

Probability Measuring Differences: Total Variation Distance Explained

A look at total variation distance and its significance in probability distributions.

2025-06-06T14:22:35+00:00 ― 5 min read

Computational Geometry Understanding Convex Floating Bodies and Their Applications

Explore convex floating bodies and how they can simplify complex data analysis.

2025-05-27T14:14:52+00:00 ― 6 min read

Instrumentation and Methods for Astrophysics Coupled-Mode Theory in Astrophotonics

Discover how Coupled-Mode Theory enhances light technology in astronomy.

2025-05-23T05:49:45+00:00 ― 6 min read

Optimization and Control Understanding Probability and Gaussian Mixture Models

A look at probability, GMMs, and their applications in different fields.

2025-05-23T03:21:08+00:00 ― 6 min read

Number Theory The Curious Case of the Erdős-Moser Equation

A look into the challenges of solving the Erdős-Moser equation.

2025-05-09T05:59:08+00:00 ― 6 min read

Complex Variables Understanding Chebyshev Polynomials: A Mathematical Tool

An overview of Chebyshev polynomials and their applications.

2025-05-07T18:57:28+00:00 ― 5 min read

Numerical Analysis Polynomials: The Sweet Side of Math

Learn how polynomials help us make better guesses and manage errors.

2025-05-05T02:30:24+00:00 ― 5 min read

Data Structures and Algorithms Covering Gardens with Trees: A Graph Perspective

Explore the challenges of tree coverage in graphs and its real-world applications.

2025-05-02T00:14:52+00:00 ― 5 min read

Number Theory The Enigma of Elliptic Curves Unraveled

Discover the secrets and applications of elliptic curves in modern mathematics.

2025-04-16T23:05:40+00:00 ― 5 min read

Data Structures and Algorithms The Art of Min-Sum Clustering

Discover how min-sum clustering organizes data for better analysis.

2025-04-15T18:36:00+00:00 ― 6 min read

Machine Learning Speeding Up Computing with Approximation

Learn how approximation boosts speed in computing while maintaining quality.

2025-04-11T17:29:51+00:00 ― 6 min read

Optimization and Control Optimizing Solutions: The SHAM Approach

Discover how SHAM simplifies complex optimization problems in various fields.

2025-04-08T04:38:50+00:00 ― 6 min read

Number Theory The Importance of the Dirichlet Spectrum

Discover how the Dirichlet spectrum impacts number approximation and its applications.

2025-03-26T02:18:30+00:00 ― 6 min read

Numerical Analysis The Art of Function Approximation with Hermite Functions

Discover how Hermite functions enhance mathematical approximations.

2025-03-19T02:29:00+00:00 ― 7 min read

Computational Geometry Stable Coverage: Balancing Points and Disks

Discover how algorithms maintain coverage with minimal changes in dynamic environments.

2025-02-26T12:35:33+00:00 ― 6 min read

Data Structures and Algorithms Dynamic Graphs: Balancing Stability and Approximation

A deep dive into dynamic graphs and algorithms for managing sets.

2025-02-25T03:02:00+00:00 ― 6 min read

Dynamical Systems The Dance of Weak Mixing in Diffeomorphisms

Discover how mathematics explains mixing in systems with smooth transformations.

2025-01-20T01:16:10+00:00 ― 6 min read