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We propose a time-dependent Advection Reaction Diffusion (ARD) $N$-species competition model to investigate the Stocking and Harvesting (SH) effect on population dynamics. For ongoing analysis, we explore the outcomes of a competition…

We study the knapsack problem with group fairness constraints. The input of the problem consists of a knapsack of bounded capacity and a set of items, each item belongs to a particular category and has and associated weight and value. The…

数据结构与算法 · 计算机科学 2021-01-19 Deval Patel , Arindam Khan , Anand Louis

Fairness in clustering has been considered extensively in the past; however, the trade-off between the two objectives -- e.g., can we sacrifice just a little in the quality of the clustering to significantly increase fairness, or…

机器学习 · 计算机科学 2024-08-20 Rashida Hakim , Ana-Andreea Stoica , Christos H. Papadimitriou , Mihalis Yannakakis

We present two stable mergesort variants, "peeksort" and "powersort", that exploit existing runs and find nearly-optimal merging orders with practically negligible overhead. Previous methods either require substantial effort for determining…

数据结构与算法 · 计算机科学 2019-05-07 J. Ian Munro , Sebastian Wild

In scientific computing, it is common that a mathematical expression can be computed by many different algorithms (sometimes over hundreds), each identifying a specific sequence of library calls. Although mathematically equivalent, those…

性能 · 计算机科学 2021-09-15 Aravind Sankaran , Paolo Bientinesi

The stochastic comparisons of parallel and series system are worthy of study. In this paper, we present some stochastic comparisons of parallel and series systems having independent components from Gumble distribution with two parameters…

统计理论 · 数学 2019-05-03 Surojit Biswas , Nitin Gupta

Purpose: To present an algorithm for spatially sorting objects into an annular structure. Design/Methodology/Approach: A swarm-based model that requires only stochastic agent behaviour coupled with a pheromone-inspired…

人工智能 · 计算机科学 2008-05-13 Martyn Amos , Oliver Don

We introduce the algorithm ExpoSort, a groundbreaking method that sorts an array of $n$ numbers in a spectacularly inefficient $\Theta(2^n)$ time. ExpoSort proudly claims the title of the first reluctant algorithm to decisively surpass the…

数据结构与算法 · 计算机科学 2024-09-05 Mikkel Abrahamsen

The widespread success of convolutional neural networks may largely be attributed to their intrinsic property of translation equivariance. However, convolutions are not equivariant to variations in scale and fail to generalize to objects of…

计算机视觉与模式识别 · 计算机科学 2022-11-21 Thomas Altstidl , An Nguyen , Leo Schwinn , Franz Köferl , Christopher Mutschler , Björn Eskofier , Dario Zanca

The \emph{generalized sorting problem} is a restricted version of standard comparison sorting where we wish to sort $n$ elements but only a subset of pairs are allowed to be compared. Formally, there is some known graph $G = (V, E)$ on the…

数据结构与算法 · 计算机科学 2021-11-16 William Kuszmaul , Shyam Narayanan

The online Gradient Balancing (GraB) algorithm greedily choosing the examples ordering by solving the herding problem using per-sample gradients is proved to be the theoretically optimal solution that guarantees to outperform Random…

机器学习 · 计算机科学 2023-10-02 Guanghao Wei

We study policies aiming to minimize the weighted sum of completion times of jobs in the context of coordination mechanisms for selfish scheduling problems. Our goal is to design local policies that achieve a good price of anarchy in the…

计算机科学与博弈论 · 计算机科学 2010-12-23 Richard Cole , José R. Correa , Vasilis Gkatzelis , Vahab Mirrokni , Neil Olver

We provide methods to validate and compare sensor outputs, or inference algorithms applied to sensor data, by adapting statistical scoring rules. The reported output should either be in the form of a prediction interval or of a parameter…

数据分析、统计与概率 · 物理学 2015-07-07 A. D. Martin , T. C. A. Molteno , M. Parry

We consider the problem of active coarse ranking, where the goal is to sort items according to their means into clusters of pre-specified sizes, by adaptively sampling from their reward distributions. This setting is useful in many social…

机器学习 · 计算机科学 2018-02-21 Sumeet Katariya , Lalit Jain , Nandana Sengupta , James Evans , Robert Nowak

The Bin Packing Problem involves efficiently packing items into a limited number of bins without exceeding their capacity. In this paper, we try to answer a specific question in this field. Mathematically the combinatorial optimization…

综合数学 · 数学 2025-08-25 Angshuman Robin Goswami

This article introduces an adaptive sorting algorithm that can relocate elements accurately by substituting their values into a function which we name it the guessing function. We focus on building this function which is the mapping…

数据结构与算法 · 计算机科学 2007-05-23 Sheng Bao , De-Shun Zheng

In this paper, we consider a planning problem for a large-scale system modelled as a hierarchical finite state machine (HFSM) and develop a control algorithm for computing optimal plans between any two states. The control algorithm consists…

系统与控制 · 电气工程与系统科学 2023-12-21 Elis Stefansson , Karl H. Johansson

In order to avoid disadvantages of monocropping for soil and environment, it is advisable to practice intercropping of various plant species whenever possible. However, intercropping is challenging as it requires a balanced planting…

计算机与社会 · 计算机科学 2021-12-21 Maurice Günder , Nico Piatkowski , Laura von Rueden , Rafet Sifa , Christian Bauckhage

Generalized sorting problem, also known as sorting with forbidden comparisons, was first introduced by Huang et al. together with a randomized algorithm which requires $\tilde O(n^{3/2})$ probes. We study this problem with additional…

数据结构与算法 · 计算机科学 2020-11-03 Pinyan Lu , Xuandi Ren , Enze Sun , Yubo Zhang

Many applications motivate the distance measure between rankings, such as comparing top-k lists and rank aggregation for voting, and intrigue great interest to researchers. For example, for a search engine, the use of different ranking…

离散数学 · 计算机科学 2012-07-17 Jianwen Chen , Yiping Li , Ling Feng