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We study the number of linear extensions of a partial order with a given proportion of comparable pairs of elements, and estimate the maximum and minimum possible numbers. We also consider a random interval partial order on $n$ elements,…

组合数学 · 数学 2018-10-16 Colin McDiarmid , David Penman , Vasileios Iliopoulos

We present a successive constraint approach that makes it possible to cheaply solve large-scale linear matrix inequalities for a large number of parameter values. The efficiency of our method is made possible by an offline/online…

数值分析 · 数学 2017-08-08 Robert O'Connor

Linear programming (LP) is an extremely useful tool and has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

数据结构与算法 · 计算机科学 2020-03-19 Agniva Chowdhury , Palma London , Haim Avron , Petros Drineas

The first part of this paper is devoted to introducing an approach to compute the approximate minimum time function of control problems which is based on reachable set approximation and uses arithmetic operations for convex compact sets. In…

最优化与控制 · 数学 2016-01-01 Robert Baier , Thuy Thi Thien Le

We present a powerful new loss function and training scheme for learning binary hash functions. In particular, we demonstrate our method by creating for the first time a neural network that outperforms state-of-the-art Haar wavelets and…

计算机视觉与模式识别 · 计算机科学 2018-02-12 Martin Loncaric , Bowei Liu , Ryan Weber

Most existing matching algorithms are one-off algorithms, i.e., they usually measure the distance between the two image feature representation vectors for only one time. In contrast, human's vision system achieves this task, i.e., image…

机器学习 · 计算机科学 2017-06-20 Donghao Luo , Bingbing Ni , Yichao Yan , Xiaokang Yang

To design efficient parallel algorithms, some recent papers showed that many sequential iterative algorithms can be directly parallelized but there are still challenges in achieving work-efficiency and high-parallelism. Work-efficiency can…

数据结构与算法 · 计算机科学 2022-05-27 Zheqi Shen , Zijin Wan , Yan Gu , Yihan Sun

Scalable ordered maps must ensure that range queries, which operate over many consecutive keys, provide intuitive semantics (e.g., linearizability) without degrading the performance of concurrent insertions and removals. These goals are…

分布式、并行与集群计算 · 计算机科学 2024-10-11 Matthew Rodriguez , Vitaly Aksenov , Michael Spear

In recent years, functional neural networks have been proposed and studied in order to approximate nonlinear continuous functionals defined on $L^p([-1, 1]^s)$ for integers $s\ge1$ and $1\le p<\infty$. However, their theoretical properties…

机器学习 · 统计学 2023-04-11 Linhao Song , Jun Fan , Di-Rong Chen , Ding-Xuan Zhou

A theory of additive Markov chains with long-range memory, proposed earlier in Phys. Rev. E 68, 06117 (2003), is developed and used to describe statistical properties of long-range correlated systems. The convenient characteristics of such…

数据分析、统计与概率 · 物理学 2009-11-11 S. S. Melnyk , O. V. Usatenko , V. A. Yampol'skii , S. S. Apostolov , Z. A. Mayzelis

Traditional pairwise sequence alignment is based on matching individual samples from two sequences, under time monotonicity constraints. However, in many application settings matching subsequences (segments) instead of individual samples…

数据库 · 计算机科学 2016-09-28 Shahriar Shariat , Vladimir Pavlovic

In many-to-many matching models, substitutable preferences constitute the largest domain for which a pairwise stable matching is guaranteed to exist. In this note, we extend the recently proposed algorithm of Hatfield et al. [3] to test…

计算机科学与博弈论 · 计算机科学 2012-01-04 Haris Aziz , Markus Brill , Paul Harrenstein

We introduce a new pattern recognition algorithm for track finding in High Energy Physics Experiments based on an extension of the Hough Transform to multiple dimensions. A remarkable property of this algorithm is that the execution time is…

高能物理 - 实验 · 物理学 2024-02-07 Luciano Ristori

The binary heap of Williams (1964) is a simple priority queue characterized by only storing an array containing the elements and the number of elements $n$ - here denoted a strictly implicit priority queue. We introduce two new strictly…

数据结构与算法 · 计算机科学 2015-05-04 Gerth Stølting Brodal , Jesper Sindahl Nielsen , Jakob Truelsen

The matrix profile is an effective data mining tool that provides similarity join functionality for time series data. Users of the matrix profile can either join a time series with itself using intra-similarity join (i.e., self-join) or…

Spatial correlation functions provide a glimpse into the quantum correlations within a quantum system. Ions in a linear trap collectively form a nonuniform, discretized background on which a scalar field of phonons propagates. Trapped ions…

量子物理 · 物理学 2009-09-29 Nicolas C. Menicucci , G. J. Milburn

In this paper we accomplish the development of the fast rank-adaptive solver for tensor-structured symmetric positive definite linear systems in higher dimensions. In [arXiv:1301.6068] this problem is approached by alternating minimization…

数值分析 · 数学 2014-10-07 Sergey V. Dolgov , Dmitry V. Savostyanov

Interactive response time is important in analytical pipelines for users to explore a sufficient number of possibilities and make informed business decisions. We consider a forecasting pipeline with large volumes of high-dimensional time…

数据库 · 计算机科学 2021-01-19 Shuyuan Yan , Bolin Ding , Wei Guo , Jingren Zhou , Zhewei Wei , Xiaowei Jiang , Sheng Xu

We introduce linear probing hashing schemes that construct a hash table of size $n$, with constant load factor $\alpha$, on which the worst-case unsuccessful search time is asymptotically almost surely $O(\log \log n)$. The schemes employ…

数据结构与算法 · 计算机科学 2023-09-20 Ketan Dalal , Luc Devroye , Ebrahim Malalla

We propose novel neural temporal models for predicting and synthesizing human motion, achieving state-of-the-art in modeling long-term motion trajectories while being competitive with prior work in short-term prediction and requiring…

计算机视觉与模式识别 · 计算机科学 2019-11-25 Anand Gopalakrishnan , Ankur Mali , Dan Kifer , C. Lee Giles , Alexander G. Ororbia