Error Bounds

Numerical Analysis, Floating Point, Precision Guarantees, Computational Mathematics

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Floating-point autotuning with customized precisions

 📐Arithmetic Precision  Content type: Academic
arxiv.org·

AutoNumerics-Zero: Automated Discovery of State-of-the-Art Mathematical Functions

 🧮SMT Solvers  Content type: Academic
arxiv.org·

P-Cast Precision in FP8 Attention: Sink-Induced Collapse and the Optimality of S=2^8

 📐Arithmetic Precision  Content type: Academic
arxiv.org·

Fitting scattered data with optional monotonicity constraints on GPU: LipFit package

 🎨LUT Compression  Content type: Academic
arxiv.org·

Second-order bulk-surface splitting for the wave equation with kinetic boundary conditions

 🔗Tailscale  Content type: Academic
arxiv.org·

Numerical Analysis on Backward Stochastic Differential Equations by Finite Transposition Method

 📐Linear Algebra  Content type: Academic
arxiv.org·

Unbiased estimation of squared concentration in the Fisher-von Mises-Langevin distribution and the impossibility of unbiased concentration

 🧮Kolmogorov Bounds  Content type: Academic
arxiv.org·

Stable and Scalable Probabilistic Numerical Solvers for Stiff and High-Dimensional ODEs

 Parallel Computing  Content type: Academic
arxiv.org·

A Perturbed q-Tsallis Self-Concordant Barrier for Spectrally Robust Semidefinite Programming

 📐Linear Algebra  Content type: Academic
arxiv.org·

Finite-n Estimate of Dedekind Numbers by Layer-Ratio Monte Carlo

 Lossless Bounds  Content type: Academic
arxiv.org·

Accuracy-Configurable Floating-Point Multiplier Design for SRAM-Based Compute-in-Memory

 📐Arithmetic Precision  Content type: Academic
arxiv.org·

Numerical analysis of the second-order time-dependent saddle point Maxwell system via a parameter-free discontinuous Galerkin method: The first optimal ${\bf L}^{2}$-norm error estimates

 ⚛️Information Physics  Content type: Academic
arxiv.org·

Spectral decomposition of $(\star,\epsilon_1,\epsilon_2)$-structured matrix polynomials with arbitrary degree and its applications

 📐Linear Algebra  Content type: Academic
arxiv.org·

A space-time sparse-grid method for the wave equation

 💻CS  Content type: Academic
arxiv.org·

Convergence of a discrete-in-time Approximation to a Degenerate Parabolic-Hyperbolic System

 🔲Cellular Automata  Content type: Academic
arxiv.org·

A Mixed Virtual Element Method for the p-Laplace equation

 🧲Magnetic Domains  Content type: Academic
arxiv.org·

Multilevel Stochastic Gradient Descent for Risk-Averse PDE-Constrained Optimization

 💻CS  Content type: Academic
arxiv.org·

Residual-based Kaczmarz methods for tensor linear equations with t-product

 📐Linear Algebra  Content type: Academic
arxiv.org·

A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers

 📊Computational Geometry  Content type: Academic
arxiv.org·

Euler Scheme for Stochastic Functional Differential Equations Driven by Fractional Brownian Motion via Fractional Calculus Techniques

 🧮Kolmogorov Bounds  Content type: Academic
arxiv.org·

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