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Many systems of interest in science and engineering are made up of interacting subsystems. These subsystems, in turn, could be made up of collections of smaller interacting subsystems and so on. In a series of papers David Spivak with…

动力系统 · 数学 2017-06-28 Eugene Lerman , David I. Spivak

An algorithmic computation of the set of unpointed stable homotopy classes of equivariant fibrewise maps was described in a recent paper of the author and his collaborators. In the present paper, we describe a simplification of this…

代数拓扑 · 数学 2013-12-10 Lukáš Vokřínek

Synthetic datasets are important for evaluating and testing machine learning models. When evaluating real-life recommender systems, high-dimensional categorical (and sparse) datasets are often considered. Unfortunately, there are not many…

信息检索 · 计算机科学 2024-12-11 Miha Malenšek , Blaž Škrlj , Blaž Mramor , Jure Demšar

Proposed in 1993 the Scalable Distributed Data Structures (SDDSs) became a profile of basis for the data management on Multi computer. In this paper we propose an organization of a LH* bucket based on the trie hashing in order to improve…

分布式、并行与集群计算 · 计算机科学 2014-12-16 Aridj Mohamed

This paper presents a theory of skiplists of arbitrary height, and shows decidability of the satisfiability problem for quantifier-free formulas. A skiplist is an imperative software data structure that implements sets by maintaining…

计算机科学中的逻辑 · 计算机科学 2013-01-21 César Sánchez , Alejandro Sánchez

Determinantal point processes (DPPs) are specific probability distributions over clouds of points that are used as models and computational tools across physics, probability, statistics, and more recently machine learning. Sampling from…

机器学习 · 计算机科学 2022-03-22 Guillaume Gautier , Guillermo Polito , Rémi Bardenet , Michal Valko

In this paper we propose an improvement for flowpipe-construction-based reachability analysis techniques for hybrid systems. Such methods apply iterative successor computations to pave the reachable region of the state space by state sets…

系统与控制 · 计算机科学 2017-07-18 Stefan Schupp , Johanna Nellen , Erika Ábrahám

A space $X$ is called selectively separable(R-separable) if for every sequence of dense subspaces $(D_n : n\in\omega)$ one can pick finite (respectively, one-point) subsets $F_n\subset D_n$ such that $\bigcup_{n\in\omega}F_n$ is dense in…

一般拓扑 · 数学 2011-12-09 Angelo Bella , Mikhail Matveev , Santi Spadaro

This paper introduces a data structure, called simplex tree, to represent abstract simplicial complexes of any dimension. All faces of the simplicial complex are explicitly stored in a trie whose nodes are in bijection with the faces of the…

计算几何 · 计算机科学 2020-01-09 Jean-Daniel Boissonnat , Clément Maria

We define a class of probability distributions that we call simplicial mixture models, inspired by simplicial complexes from algebraic topology. The parameters of these distributions represent their topology and we show that it is possible…

统计理论 · 数学 2019-09-24 James T. Griffin

A restaurant dinner or a hotel stay may lead to memorable experiences when guests encounter unexpected aspects that also match their interests. For example, an origami-making station in the waiting area of a restaurant may be both…

信息检索 · 计算机科学 2025-05-30 Ramit Aditya , Razvan Bunescu , Smita Nannaware , Erfan Al-Hossami

A circular program contains a data structure whose definition is self-referential or recursive. The use of such a definition allows efficient functional programs to be written and can avoid repeated evaluations and the creation of…

数据结构与算法 · 计算机科学 2022-06-28 Lloyd Allison

A well-established theoretical model for modular robots in two dimensions are edge-connected configurations of square modules, which can reconfigure through so-called sliding moves. Dumitrescu and Pach [Graphs and Combinatorics, 2006]…

Understanding how subsets of items are chosen from offered sets is critical to assortment planning, wireless network planning, and many other applications. There are two seemingly unrelated subset choice models that capture dependencies…

机器学习 · 计算机科学 2023-02-23 Sander Aarts , David B. Shmoys , Alex Coy

This paper analyzes various distributed storage systems that use data fragmentation and dispersal as a way of protection.Existing solutions have been organized into two categories: bitwise and structurewise. Systems from the bitwise…

密码学与安全 · 计算机科学 2017-06-20 Katarzyna Kapusta , Gerard Memmi

Heap layout manipulation is integral to exploiting heap-based memory corruption vulnerabilities. In this paper we present the first automatic approach to the problem, based on pseudo-random black-box search. Our approach searches for the…

密码学与安全 · 计算机科学 2018-09-05 Sean Heelan , Tom Melham , Daniel Kroening

Recent approaches in skill matching, employing synthetic training data for classification or similarity model training, have shown promising results, reducing the need for time-consuming and expensive annotations. However, previous…

计算与语言 · 计算机科学 2024-02-06 Antoine Magron , Anna Dai , Mike Zhang , Syrielle Montariol , Antoine Bosselut

A combinatorial substitution is a map over tilings which allows to define sets of tilings with a strong hierarchical structure. In this paper, we show that such sets of tilings are sofic, that is, can be enforced by finitely many local…

组合数学 · 数学 2011-03-10 Thomas Fernique , Nicolas Ollinger

The concept of $typed$ $topology$ is introduced. In a typed topological space, some open sets are assigned "types", and topological concepts such as closure, connectedness can be defined using types. A finite data set in $R^2$ is a…

一般拓扑 · 数学 2024-02-13 Wanjun Hu

We show that the algorithm to extract diverse M -solutions from a Conditional Random Field (called divMbest [1]) takes exactly the form of a Herding procedure [2], i.e. a deterministic dynamical system that produces a sequence of hypotheses…

计算机视觉与模式识别 · 计算机科学 2017-01-31 Ece Ozkan , Gemma Roig , Orcun Goksel , Xavier Boix