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This article introduces a method for adjusting macro-particle weights within a particle distribution while preserving statistical and physical properties. The method allows the weights of the new macro-particle distribution to be determined…

计算物理 · 物理学 2024-03-19 Nicolas Pichoff , Samuel Marini

Linear codes with few weights have been an interesting subject of study for many years, as these codes have applications in secrete sharing, authentication codes, association schemes, and strongly regular graphs. In this paper, linear codes…

信息论 · 计算机科学 2016-02-05 Chunming Tang , Can Xiang , Keqin Feng

Nonexpansive mappings play a central role in modern optimization and monotone operator theory because their fixed points can describe solutions to optimization or critical point problems. It is known that when the mappings are sufficiently…

泛函分析 · 数学 2020-04-28 Salihah Alwadani , Heinz H. Bauschke , Xianfu Wang

Forecast combination and model averaging have become popular tools in forecasting and prediction, both of which combine a set of candidate estimates with certain weights and are often shown to outperform single estimates. A data-driven…

统计理论 · 数学 2025-10-31 Jiahui Zou , Andrey Vasnev , Wendun Wang , Xinyu Zhang

Conformal prediction offers a distribution-free framework for constructing prediction sets with coverage guarantees. In practice, multiple valid conformal prediction sets may be available, arising from different models or methodologies.…

机器学习 · 统计学 2025-06-26 Mahmoud Hegazy , Liviu Aolaritei , Michael I. Jordan , Aymeric Dieuleveut

We define and explore the notion of linear weightings for vector bundles, extending the recent work by Loizides and Meinrenken. We construct weighted normal bundles and deformation spaces in the category of vector bundles. We explain how a…

微分几何 · 数学 2023-12-06 Daniel Hudson

Based on the generic construction of linear codes, we construct linear codes over the ring $\Bbb Z_4$ via posets of the disjoint union of two chains. We determine the Lee weight distributions of the quaternary codes. Moreover, we obtain…

信息论 · 计算机科学 2019-10-29 Xiaomeng Zhu , Yansheng Wu , Qin Yue

Clustering ensemble, or consensus clustering, has emerged as a powerful tool for improving both the robustness and the stability of results from individual clustering methods. Weighted clustering ensemble arises naturally from clustering…

计算机视觉与模式识别 · 计算机科学 2021-12-14 Mimi Zhang

In this paper, we introduce concept of bipolar neutrosophic set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic sets. Then, we develop the bipolar neutrosophic weighted…

综合数学 · 数学 2016-02-12 Irfan Deli , Mumtaz Ali , Florentin Smarandache

Multiplex networks describe a large number of systems ranging from social networks to the brain. These multilayer structure encode information in their structure. This information can be extracted by measuring the correlations present in…

无序系统与神经网络 · 物理学 2015-04-23 Giulia Menichetti , Daniel Remondini , Ginestra Bianconi

The aim of this paper, triggered by some discussions in the astrophysics community raised by astro-ph/0508529, is to introduce the issue of `fits' from a probabilistic perspective (also known as Bayesian), with special attention to the…

数据分析、统计与概率 · 物理学 2007-05-23 G. D'Agostini

We consider linear codes over a finite field of odd characteristic, derived from determinantal varieties, obtained from symmetric matrices of bounded ranks. A formula for the weight of a code word is derived. Using this formula, we have…

信息论 · 计算机科学 2023-12-25 Peter Beelen , Trygve Johnsen , Prasant Singh

In this paper, we prove several generalizations and applications of a fixed point theorem. This theorem is used to prove the existence and uniqueness of solutions of the linear sparse matrix problem considered.

经典分析与常微分方程 · 数学 2015-07-30 Xiaorong Liu

We construct a class of linear codes by choosing a proper defining set and determine their complete weight enumerators and weight enumerators. The results show that they are at most three-weight codes and they are suitable for applications…

信息论 · 计算机科学 2019-01-23 Shudi Yang , Xiangli Kong

For a fixed set $X$, an arbitrary \textit{weight structure} $d \in [0,\infty]^{X \times X}$ can be interpreted as a distance assignment between pairs of points on $X$. Restrictions (i.e. \textit{metric axioms}) on the behaviour of any such…

一般拓扑 · 数学 2014-10-22 Jorge Bruno , Ittay Weiss

Point sets matching method is very important in computer vision, feature extraction, fingerprint matching, motion estimation and so on. This paper proposes a robust point sets matching method. We present an iterative algorithm that is…

计算机视觉与模式识别 · 计算机科学 2014-11-05 Xiao Liu , Congying Han , Tiande Guo

By using a combination of algebraic, geometric, and dynamical techniques, together with input from higher dimensional Diophantine approximation, we give a complete characterization of all linearly repetitive cut and project sets with…

动力系统 · 数学 2017-02-15 Alan Haynes , Henna Koivusalo , James Walton

In this article the issues are discussed with the Bayesian approach, least-square fits, and most-likely fits. Trying to counter these issues, a method, based on weighted confidence, is proposed for estimating probabilities and other…

统计理论 · 数学 2017-01-26 Fetze Pijlman

In this article we construct new minimal intersection sets in ${\mathrm{AG}}(r,q^2)$ sporting three intersection numbers with hyperplanes; we then use these sets to obtain linear error correcting codes with few weights, whose weight…

组合数学 · 数学 2017-03-23 Angela Aguglia , Luca Giuzzi

We consider linear systems on toric varieties of any dimension, with invariant base points, giving a characterization of special linear systems. We then make a new conjecture for linear systems on rational surfaces.

代数几何 · 数学 2007-05-23 Antonio Laface , Luca Ugaglia