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20 results for “approximation”

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cs.DSTheoreticalRecentJun 15, 2026

Approximation Preserving Coresets

Milind Prabhu, Chris Schwiegelshohn, Sudarshan Shyam

This paper introduces approximation-preserving coresets, which provide weaker guarantees than strong coresets but stronger guarantees than weak coresets for preserving the costs of good solutions in b…

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cs.LGcs.ITstat.MLTheoreticalRecentJul 24, 2026

From Score Approximation to Distribution Approximation in Score-Based Diffusion Models

Lan V. Truong

This paper establishes a connection between neural network approximation of score functions and approximation of probability distributions generated by reverse diffusion models.

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cs.DSeess.SYTheoreticalRecentJul 8, 2026

Approximability of Electrical Distribution Network Reconfiguration for General Graphs

Christian Wallisch, Andrea Benigni, Carsten Hartmann, Leon Kellerhals

This paper studies approximation algorithms for minimizing power losses in electrical distribution networks, proving hardness results and providing approximations for various configurations.

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cs.DSTheoreticalRecentJul 21, 2026

$\tilde{O}$ptimal Algorithm for 2-Approximate All Pair Shortest Paths -- almost

Manoj Gupta, Mrigankashekhar Shandilya

This paper presents a randomized algorithm that runs in $ ilde{O}(n^2)$ time and, with high probability, guarantees a 2-approximation for all pairs at distance at least $c$ in an undirected, unweighte…

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cs.DScs.CCcs.GTNEWTheoreticalJul 28, 2026

A Unifying Framework for Quasi-Polynomial Optimization of Fixed-degree Polynomials

Martino Bernasconi, Matteo Castiglioni, Andrea Celli, Gabriele Farina

This paper constructs an epsilon-cover of the joint value set of m constant-degree polynomials over a convex set H in the linfty-norm, with size n^(O(log(mn)/ε^2)), given that the polynomials have a c…

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cs.DScs.CCTheoreticalRecentJun 16, 2026

Directed Reachability-Preserving Minimum Edge Cut: Approximation and Planar Hardness

Qi Duan

This paper presents approximation algorithms for the one-way directed Reachability-Preserving Minimum Edge Cut problem in directed graphs.

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stat.MLcs.LGmath.PRTheoreticalRecentJul 7, 2026

A Convex Approximation Framework for Neural Likelihood-Based Bayesian Inverse Problems

Fabian Schneider, Tapio Helin, Leila Taghizadeh

This paper improves the foundations of neural likelihood approximation for Bayesian inverse problems by making the learning problem strictly convex and showing convergence to the true likelihood.

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cs.DScs.DMTheoreticalRecentJul 23, 2026

Approximation Algorithms for Inventory Problems with Decomposable Submodular Ordering Costs

Retsef Levi, Georgia Perakis, Emily Zhang

This paper proposes an approximation algorithm for the submodular joint replenishment problem with decomposable submodular ordering cost functions, achieving an O(k)-approximation.

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cs.DSmath-phmath.CATheoreticalRecentJun 22, 2026

Computing Gaussian and exponential integrals in ${\Bbb R}^n$

Alexander Barvinok

This paper proves conditions for efficiently approximating expectations of certain functions with respect to standard Gaussian or symmetric exponential probability measures.

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cs.ITcs.LGTheoreticalRecentJun 12, 2026

Nonlinear Two-Time-Scale Stochastic Approximation: A Sharp Phase Transition and How to Beat It

Dhruv Sarkar, Vaneet Aggarwal

This paper analyzes the finite-time behavior of nonlinear two-time-scale stochastic approximation and identifies a sharp boundary for decoupling the $k^{-1}$ rate.

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cs.DScs.CRTheoreticalRecentJul 21, 2026

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers

Chenglin Fan, Jingcheng Liu, Pan Peng, Hangyu Xu +1 more

This paper presents a polynomial-time differentially private algorithm for releasing a synthetic graph that approximates cut sizes in an input graph with error bound.

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cs.DSTheoreticalRecentJul 9, 2026

Locally Approximating the Top Eigenvector of Bounded Entry Matrices

Nicolas Menand, Erik Waingarten

This paper presents a local computation algorithm to approximate the top eigenvector of a symmetric matrix with entries between -1 and 1, building on Swartworth and Woodruff's work.

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math.LOcs.CCTheoreticalRecentJun 11, 2026

Extended Frege proofs, circuits and rewriting

Jan Krajicek

This paper proves several properties about Extended Frege proof systems and circuit equivalence.

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stat.MLcs.LGEmpiricalRecentJul 23, 2026

Automatic knot selection in smooth additive models

Nicolás Carrizosa, Vanesa Guerrero, María Durbán

A new method for selecting knots in Generalized Additive Models using an extension of adaptive splines and a customized Fellner-Schall scheme.

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