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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.

30 Sep 2026 edition

56 articles · 3 sources · 56 papers ·

Top topics: Algorithms · AI

Algorithms

Distance flexibility in spatial matching: the value of concentration

arXiv:2609.36361v1 Announce Type: cross Abstract: In spatial matching markets, a supply unit's flexibility is measured by its service radius, the maximum distance at which it can serve demand. In dimensions $k \geq 2$,…

Source: arXiv cs.DS Taha Ameen, Sophie H. Yu
Algorithms

Dual lattice attacks for bounded distance decoding, revisited

arXiv:2609.37483v1 Announce Type: cross Abstract: Analyses of dual lattice attacks have often assumed that the individual scores associated with short dual vectors are mutually independent. Laarhoven-Walter used this…

Source: arXiv cs.DS Thijs Laarhoven
Algorithms

Cycle-factors of regular graphs via entropy

arXiv:2507.19417v3 Announce Type: replace-cross Abstract: It is a classical result that a random permutation of $n$ elements has, on average, about $\log n$ cycles. We generalise this fact to all directed $d$-regular…

Source: arXiv cs.DS Micha Christoph, Nemanja Dragani\'c, Ant\'onio Gir\~ao, Eoin Hurley, Lukas Michel, Alp M\"uyesser
Algorithms

Matrix-Vector Complexity of Low-Rank Approximation

arXiv:2609.35840v1 Announce Type: cross Abstract: We establish matching polynomial query bounds for low-rank approximation from exact matrix--vector products. Given an unknown matrix $A\in\mathbb{R}^{m\times n}$, at…

Source: arXiv cs.DS Haihan Zhang, Wendao Wu, Chenheng Zhang, Yanyi Li, Chunyuan Zheng, Cong Fang, Haoxuan Li, Zhouchen Lin
Algorithms

Approximating Combinatorial Contracts with Arbitrary Costs

arXiv:2609.35803v1 Announce Type: cross Abstract: We study single-agent combinatorial contracts under linear payments. Under a reward share $\alpha\in[0,1]$, an agent chooses a subset $S$ of $n$ hidden actions,…

Source: arXiv cs.DS Xiaotie Deng, Hanyu Li, Chenghua Liu
Algorithms

XBDD: A Highly Optimized ROBDD with Per-Edge Variable-Flip Maps

arXiv:2609.36778v1 Announce Type: new Abstract: The Reduced Ordered Binary Decision Diagram (ROBDD) is a canonical representation of Boolean functions and is widely used in tasks such as equivalence checking and…

Source: arXiv cs.DS Yinglong Gan, Jintao Yu, Shenggang Ying, Yusen Li, Xin Hong
Algorithms

Query Lower Bounds for Diffusion Sampling

arXiv:2604.10857v2 Announce Type: replace-cross Abstract: Diffusion models generate samples by iteratively querying learned score estimates. A rapidly growing literature focuses on accelerating sampling by minimizing…

Source: arXiv cs.DS Zhiyang Xun, Eric Price
Algorithms

Min-Sum Set Cover on Parallel Machines

arXiv:2604.11388v5 Announce Type: replace Abstract: We consider a generalization of the Min-Sum Set Cover to the setup with $m$ set-sequences, or in scheduling terminology, $m$ parallel machines. We call this problem…

Source: arXiv cs.DS Micha{\l} Szyfelbein
Algorithms

Deterministic Linear-Time Modular Subset Sum

arXiv:2609.30992v2 Announce Type: replace Abstract: We give a deterministic $O(m)$-time algorithm for exact modular subset sum over every modulus $m$ on compact input: distinct residues with multiplicities. It reports…

Source: arXiv cs.DS Phuoc Dinh Le, Kha Le
Algorithms

Testing the Binary Rank with Polynomial Query Complexity

arXiv:2609.10496v2 Announce Type: replace Abstract: We design an adaptive two-sided error testing algorithm for the binary rank of a $0,1$ matrix $M$ with query complexity $O(d^3\log(d+1)/\epsilon^2)$, where $d$ is the…

Source: arXiv cs.DS Michal Parnas
Algorithms

Degree Balance as a Fine-Grained Complexity Boundary for Quantum SAT

arXiv:2609.36464v1 Announce Type: cross Abstract: The local Hamiltonian problem is the canonical $\mathsf{QMA}$-complete problem, and $O(2^n)$ time classical algorithms and $O(2^{n/2})$ time quantum algorithms are known…

Source: arXiv cs.DS Atsuya Hasegawa, Jonas Kamminga, Fran\c{c}ois Le Gall, Suguru Tamaki
Algorithms

Byzantine Causal Reliable Broadcast with Constant Metadata Overhead

arXiv:2609.37913v1 Announce Type: cross Abstract: Asynchronous Byzantine Reliable Broadcast (BRB) is a fundamental primitive that guarantees agreement and validity in distributed systems subject to Byzantine faults, but…

Source: arXiv cs.DS Purv Patel, Ajay D. Kshemkalyani

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