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Daily edition · Algorithms

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TILens turns technical updates into a focused daily brief: official releases, trusted reporting, and practitioner analysis, deduplicated and organized by topic.

28 Sep 2026 edition

43 articles · 3 sources · 43 papers ·

Top topics: Algorithms

Algorithms

Fast factorization in diagram monoids

arXiv:2609.30804v1 Announce Type: cross Abstract: We give explicit algorithms that factor elements of the standard diagram monoids into their usual generators. These algorithms generalize sorting from permutations to…

Source: arXiv cs.DS Matthias Fresacher, Willow Stewart, Daniel Tubbenhauer
Algorithms

Exponential Quantum Advantage in Testing Fourier Dimensionality

arXiv:2609.25816v2 Announce Type: replace-cross Abstract: A boolean function $f$ has Fourier dimension $k$ if its nonzero Fourier coefficients span a subspace of dimension $k$. We consider the property testing task of…

Source: arXiv cs.DS Kenny Chen
Algorithms

Odd Cycle Transversal on $H$-free graphs

arXiv:2609.30900v1 Announce Type: new Abstract: \textsc{Odd Cycle Transversal} is a classic $\mathsf{NP}$-hard graph optimization problem asking for a minimum-weight set of vertices whose deletion makes the input graph…

Source: arXiv cs.DS Esther Galby, Paloma T. de Lima, Andrea Munaro, Amir Nikabadi
Algorithms

Collision-free Movement on Grids and Beyond

arXiv:2609.31099v1 Announce Type: cross Abstract: We study collision-free movement problems on graphs, where the task is to coordinate a set of robots so that they reach a target formation satisfying a desired property…

Source: arXiv cs.DS Hendrik Molter, Meirav Zehavi
Algorithms

Provable Quantum-Classical Separation for Continuous Gibbs Sampling

arXiv:2608.24527v2 Announce Type: replace-cross Abstract: We prove the first quantum-classical separation for a sampling problem over a continuous domain. For a class of Gibbs states $p\propto e^{-\beta E}$ on the torus…

Source: arXiv cs.DS Enrico Olivucci, Mariia Sobchuk, Sehmimul Hoque, Jeffrey Hnybida, Kyungho W. Kim, Ala Shayeghi, Pooya Ronagh
Algorithms

Settling the Matroid Secretary Problem

arXiv:2609.30421v1 Announce Type: new Abstract: This paper settles the Matroid Secretary Problem with an $e$-probability-competitive algorithm. The algorithm is ordinal and accesses arrived elements only through…

Source: arXiv cs.DS Zhiyi Huang
Algorithms

Online Rounding Schemes for Edge Cover

arXiv:2507.13159v2 Announce Type: replace Abstract: Linear programming rounding is a fundamental technique in the design of approximation and online algorithms. A growing body of work has investigated online rounding…

Source: arXiv cs.DS Jaros{\l}aw Byrka, Yongho Shin
Algorithms

Geometric Optimization Parameterized by Piercing Complexity

arXiv:2609.30829v1 Announce Type: cross Abstract: Packing and covering problems for geometric regions have been studied under many notions of complexity, including VC-dimension, union complexity, shallow-cell…

Source: arXiv cs.DS Aritra Banik, Rajiv Raman, Saurabh Ray
Algorithms

Moment Ambiguity and the Limits of Robust Stochastic Optimization

arXiv:2609.31090v1 Announce Type: cross Abstract: We study fundamental information-theoretic limits of robust stochastic optimization when the distribution is known only through its exact moment sequence. We develop a…

Source: arXiv cs.DS Andr\'es Cristi, Matteo Russo, Jiechen Zhang
Algorithms

Servicing Matched Client Pairs with Facilities

arXiv:2602.19680v2 Announce Type: replace Abstract: We study Facility Location with Matching, a Facility Location problem where, given additional information about which pair of clients is compatible to be matched, we…

Source: arXiv cs.DS Fateme Abbasi, Martin B\"ohm, Jaros{\l}aw Byrka, Matin Mohammadi, Yongho Shin
Algorithms

Gap-free Differentially Private PCA for Gaussian Data

arXiv:2609.31614v1 Announce Type: new Abstract: We give a gap-free differentially private algorithm for the principal component analysis (PCA) problem with Gaussian data.

Source: arXiv cs.DS Alina Ene, Huy L. Nguyen

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