#error analysis

try —

14 papers match

stat.ML2026

Error Analysis of Neural-Network-Based Engression

Juntong Chen, Zijian Guo, Xinwei Shen

The paper analyzes the theoretical error of neural‑network‑based engression, a method for learning conditional distributions via an energy score, and derives convergence rates by d…

#conditional distribution modeling#generative models#error analysis#convergence rates
cs.AI2026

How Benchmarks Mis-Score Computer-Use Agents

Zihan Dong, Zhiyuan Ma, Zekun Wang +5

The paper examines how current benchmarks for computer-use agents often give inaccurate scores due to issues in task design, trajectory observation, scoring, and reporting, and pro…

#computer-use agents#benchmark evaluation#reliability#error analysis
math.OC2026

Optimal control problems for quasi-linear parabolic equations and their linear approximations

Xu Liu, Meisai Wang, Xu Zhang

The paper studies optimal control problems for quasi‑linear parabolic PDEs and shows that, for sufficiently small initial data and targets, the optimal controls and trajectories ca…

#optimal control#quasi-linear parabolic equations#linear approximation#error analysis
math.NA2026

Optimal Error Estimates of a Finite Element Method for Semilinear SPDEs with Additive Noise and Nonsmooth Initial Data

Jitendra Nath Naik, Lok Pati Tripathi

The paper analyzes strong error bounds for finite element spatial discretizations combined with a linearly implicit Euler time scheme applied to semilinear parabolic SPDEs with add…

#finite element method#stochastic partial differential equations#additive noise#error analysis
math.NA2026

On the optimality of dimension truncation error rates for a class of parametric partial differential equations

Philipp A. Guth, Vesa Kaarnioja

The paper analyzes the error introduced when infinite-dimensional random field inputs in parametric PDEs are truncated to finite dimensions, and proves that the known dimension‑tru…

#parametric partial differential equations#dimension truncation#uncertainty quantification#lognormal random fields
math.NA2026

Structure-preserving Lagrange-multiplier methods for mean curvature flow and their error bounds

Balázs Kovács, Buyang Li, Christian Lubich

The paper introduces and analyzes structure‑preserving finite element methods that use Lagrange multipliers to enforce energy‑decreasing behavior in numerical simulations of mean c…

#mean curvature flow#evolving surface finite elements#structure-preserving methods#lagrange multipliers
math.NA2026

Error Analysis of a Fully-Discrete Implicit -Scheme with WG-FEM for Parabolic Singularly Perturbed Boundary Turning Point Problems

Aayushman Raina, Srinivasan Natesan

The paper presents a weak Galerkin finite element method combined with an implicit θ‑time discretization on a Shishkin mesh for solving parabolic singularly perturbed boundary turn…

#weak galerkin finite element method#parabolic singular perturbation#boundary turning point problems#implicit theta scheme
math.NA2026

Discontinuous in time Virtual Element method for Darcy equations coupled with Multi Species Transport with First Order Reaction Network

Ruben Caraballo, Franco Dassi

The paper presents a numerical scheme that combines the Virtual Element Method for spatial discretization with a discontinuous Galerkin time integrator to solve Darcy flow coupled…

#darcy flow#virtual element method#advection-diffusion-reaction#discontinuous galerkin
math.NA2026

Continuous Cross Approximation of Matrices Arising Out of Kernel Functions

Sumit Singh, Sivaram Ambikasaran

The paper introduces a residual‑energy based continuous method for constructing low‑rank approximations of kernel matrices by adaptively selecting optimal nodes, providing converge…

#low-rank approximation#kernel methods#adaptive cross approximation#continuous operators
math.ST2026

Error Analysis of Triangular Optimal Transport Maps for Filtering

Mohammad Al-Jarrah, Bamdad Hosseini, Niyizhen Jin +2

The paper analyzes estimation errors of optimal‑transport‑based filtering algorithms, extending Brenier map error results to conditional Brenier maps and demonstrating the approach…

#optimal transport#filtering#error analysis#conditional Brenier maps
math.NA2026

A Weighted Integral-Regularized Finite Difference Scheme for the Tempered Fractional Laplacian

Mingyi Wang, Lisen Ding, Dongling Wang

The paper proposes a weighted integral‑regularized finite difference scheme for the tempered fractional Laplacian, providing high‑order error bounds and efficient solution via FFT‑…

#tempered fractional laplacian#finite difference method#integral regularization#error analysis
math.NA2026

Convolution quadrature based on a truncated trapezoidal rule

Matteo Ferrari

The paper introduces a family of A‑stable second‑order multistep methods called the truncated trapezoidal rule, derives optimal coefficients to minimize the error constant, and sho…

#convolution quadrature#trapezoidal rule#multistep methods#a-stability
math.NA2026

A Reynolds-semi-robust H(div)-conforming method for unsteady incompressible power-law flows

Lourenço Beirão da Veiga, Daniele A. Di Pietro, Kirubell B. Haile

The paper develops and analyzes an H(div)-conforming discontinuous Galerkin method with upwind stabilization for unsteady incompressible power‑law (non‑Newtonian) flows, providing…

#incompressible flow#power-law fluids#h(div)-conforming#discontinuous galerkin
math.NA2026

Inf-Sup Neural Networks for High Dimensional PDEs

Ziren Chen, Hailiang Liu

The paper introduces a neural‑network framework that rewrites high‑dimensional partial differential equations as inf‑sup (saddle‑point) optimization problems using a Lagrange multi…

#high-dimensional pdes#inf-sup optimization#neural networks#saddle-point methods

One search, two signals: results blend meaning (embedding similarity, so papers that never use your words still surface) with keyword matches on titles, abstracts and summaries. Free, no sign-in needed.