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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…

Numerical Analysis · Mathematics 2024-04-30 Mayesha Sharmim Tisha , Md. Kamrujjaman , Muhammad Mohebujjaman , Taufiquar Khan

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…

Data Structures and Algorithms · Computer Science 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…

Machine Learning · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Performance · Computer Science 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…

Statistics Theory · Mathematics 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…

Artificial Intelligence · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Machine Learning · Computer Science 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…

Computer Science and Game Theory · Computer Science 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…

Data Analysis, Statistics and Probability · Physics 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…

Machine Learning · Computer Science 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…

General Mathematics · Mathematics 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…

Data Structures and Algorithms · Computer Science 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…

Systems and Control · Electrical Eng. & Systems 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…

Computers and Society · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Discrete Mathematics · Computer Science 2012-07-17 Jianwen Chen , Yiping Li , Ling Feng