Fuzzy Jets

09/07/2015
by   Lester Mackey, et al.
0

Collimated streams of particles produced in high energy physics experiments are organized using clustering algorithms to form jets. To construct jets, the experimental collaborations based at the Large Hadron Collider (LHC) primarily use agglomerative hierarchical clustering schemes known as sequential recombination. We propose a new class of algorithms for clustering jets that use infrared and collinear safe mixture models. These new algorithms, known as fuzzy jets, are clustered using maximum likelihood techniques and can dynamically determine various properties of jets like their size. We show that the fuzzy jet size adds additional information to conventional jet tagging variables. Furthermore, we study the impact of pileup and show that with some slight modifications to the algorithm, fuzzy jets can be stable up to high pileup interaction multiplicities.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
02/16/2015

A Generalization of Gustafson-Kessel Algorithm Using a New Constraint Parameter

In this paper one presents a new fuzzy clustering algorithm based on a d...
research
02/18/2021

On Typical Hesitant Fuzzy Languages and Automata

The idea of nondeterministic typical hesitant fuzzy automata is a genera...
research
07/17/2019

Analysis of Word Embeddings using Fuzzy Clustering

In data dominated systems and applications, a concept of representing wo...
research
06/16/2014

Impact of Exponent Parameter Value for the Partition Matrix on the Performance of Fuzzy C Means Algorithm

Soft Clustering plays a very important rule on clustering real world dat...
research
06/29/2021

(S,N,T)-Implications

In this paper we introduce a new class of fuzzy implications called (S,N...
research
04/13/2015

Fuzzy approaches to context variable in fuzzy geographically weighted clustering

Fuzzy Geographically Weighted Clustering (FGWC) is considered as a suita...
research
12/03/2017

Fuzzy-Based Dialectical Non-Supervised Image Classification and Clustering

The materialist dialectical method is a philosophical investigative meth...

Please sign up or login with your details

Forgot password? Click here to reset