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We propose an $O(N\cdot M)$ sorting algorithm by Machine Learning method, which shows a huge potential sorting big data. This sorting algorithm can be applied to parallel sorting and is suitable for GPU or TPU acceleration. Furthermore, we…

机器学习 · 计算机科学 2018-08-16 Hanqing Zhao , Yuehan Luo

We study dynamic $(1-\epsilon)$-approximate rounding of fractional matchings -- a key ingredient in numerous breakthroughs in the dynamic graph algorithms literature. Our first contribution is a surprisingly simple deterministic rounding…

数据结构与算法 · 计算机科学 2024-02-26 Sayan Bhattacharya , Peter Kiss , Aaron Sidford , David Wajc

Consider $N$ points randomly distributed along a line segment of unitary length. A walker explores this disordered medium moving according to a partially self-avoiding deterministic walk. The walker, with memory $\mu$, leaves from the…

无序系统与神经网络 · 物理学 2007-05-23 Cesar Augusto Sangaletti Tercariol , Rodrigo Silva Gonzalez , Alexandre Souto Martinez

While a lot of work in theoretical computer science has gone into optimizing the runtime and space usage of data structures, such work very often neglects a very important component of modern computers: the cache. In doing so, very often,…

数据结构与算法 · 计算机科学 2019-07-04 Jeffrey Barratt , Brian Zhang

Structured distributions, i.e. distributions over combinatorial spaces, are commonly used to learn latent probabilistic representations from observed data. However, scaling these models is bottlenecked by the high computational and memory…

计算与语言 · 计算机科学 2022-01-11 Justin T. Chiu , Yuntian Deng , Alexander M. Rush

We study the leader election problem in oriented ring networks under content-oblivious asynchronous message-passing systems, where an adversary may arbitrarily corrupt message contents. Frei et al. (DISC 2024) presented a uniform…

分布式、并行与集群计算 · 计算机科学 2025-09-24 Jérémie Chalopin , Yi-Jun Chang , Lyuting Chen , Giuseppe A. Di Luna , Haoran Zhou

The fastest known algorithms for dealing with structured matrices, in the sense of the displacement rank measure, are randomized. For handling classical displacement structures, they achieve the complexity bounds…

符号计算 · 计算机科学 2026-03-04 Sara Khichane , Vincent Neiger

Maximum bipartite matching (MBM) is a fundamental problem in combinatorial optimization with a long and rich history. A classic result of Hopcroft and Karp (1973) provides an $O(m \sqrt{n})$-time algorithm for the problem, where $n$ and $m$…

数据结构与算法 · 计算机科学 2024-06-03 Julia Chuzhoy , Sanjeev Khanna

Unbreakable decomposition, introduced by Cygan et al. (SICOMP'19) and Cygan et al. (TALG'20), has proven to be one of the most powerful tools for parameterized graph cut problems in recent years. Unfortunately, all known constructions…

数据结构与算法 · 计算机科学 2024-08-20 Aditya Anand , Euiwoong Lee , Jason Li , Yaowei Long , Thatchaphol Saranurak

The most fundamental problem considered in algorithms for text processing is pattern matching: given a pattern $p$ of length $m$ and a text $t$ of length $n$, does $p$ occur in $t$? Multiple versions of this basic question have been…

数据结构与算法 · 计算机科学 2021-11-10 Moses Ganardi , Paweł Gawrychowski

We consider leader election in anonymous radio networks modeled as simple undirected connected graphs. Nodes communicate in synchronous rounds. Nodes are anonymous and execute the same deterministic algorithm, so symmetry can be broken only…

分布式、并行与集群计算 · 计算机科学 2020-02-10 Avery Miller , Andrzej Pelc , Ram Narayan Yadav

We prove the existence of an oblivious routing scheme that is $\mathrm{poly}(\log n)$-competitive in terms of $(congestion + dilation)$, thus resolving a well-known question in oblivious routing. Concretely, consider an undirected network…

数据结构与算法 · 计算机科学 2022-10-24 Mohsen Ghaffari , Bernhard Haeupler , Goran Zuzic

The tracking method based on the extreme learning machine (ELM) is efficient and effective. ELM randomly generates input weights and biases in the hidden layer, and then calculates and computes the output weights by reducing the iterative…

机器学习 · 计算机科学 2018-07-27 Jing Zhang , Huibing Wang , Yonggong Ren

We consider a learning-augmented framework for NP-hard permutation problems. The algorithm has access to predictions telling, given a pair $u,v$ of elements, whether $u$ is before $v$ or not in an optimal solution. Building on the work of…

数据结构与算法 · 计算机科学 2025-02-04 Evripidis Bampis , Bruno Escoffier , Dimitris Fotakis , Panagiotis Patsilinakos , Michalis Xefteris

We consider the Reinforcement Learning problem of controlling an unknown dynamical system to maximise the long-term average reward along a single trajectory. Most of the literature considers system interactions that occur in discrete time…

人工智能 · 计算机科学 2023-09-07 Lorenzo Croissant , Marc Abeille , Bruno Bouchard

This paper analyzes multi-step temporal difference (TD)-learning algorithms within the ``deadly triad'' scenario, characterized by linear function approximation, off-policy learning, and bootstrapping. In particular, we prove that $n$-step…

机器学习 · 计算机科学 2026-02-24 Han-Dong Lim , Donghwan Lee

Given a matrix $M\in \mathbb{R}^{m\times n}$, the low rank matrix completion problem asks us to find a rank-$k$ approximation of $M$ as $UV^\top$ for $U\in \mathbb{R}^{m\times k}$ and $V\in \mathbb{R}^{n\times k}$ by only observing a few…

机器学习 · 计算机科学 2024-04-03 Yuzhou Gu , Zhao Song , Junze Yin , Lichen Zhang

In this letter, we prove that the perfectly secure One-Time Pad (OTP) encryption can be seen as finding the initial condition on the binary map under a random switch based on the perfectly random pad. This turns out to be a special case of…

混沌动力学 · 物理学 2008-03-04 Nithin Nagaraj , Prabhakar G. Vaidya

We provide a deterministic scheme for solving any decidable problem in the distributed {sleeping model}. The sleeping model is a generalization of the standard message-passing model, with an additional capability of network nodes to enter a…

分布式、并行与集群计算 · 计算机科学 2021-08-05 Leonid Barenboim , Tzalik Maimon

An initializable array is an array that supports the read and write operations for any element and the initialization of the entire array. This paper proposes a simple in-place algorithm to implement an initializable array of length $N$…

数据结构与算法 · 计算机科学 2022-03-31 Takashi Katoh , Keisuke Goto