Constructing Clustering Transformations
نویسندگان
چکیده
Clustering is one of the fundamental tasks in data analytics and machine learning. In many situations, different clusterings same set become relevant. For example, algorithms ...
منابع مشابه
Constructing Möbius Transformations with Spheres
Every Möbius transformation can be constructed by stereographic projection of the complex plane onto a sphere, followed by a rigid motion of the sphere and projection back onto the plane, illustrated in the video Möbius Transformations Revealed. In this article we show that, for a given Möbius transformation and sphere, this representation is unique. Acknowledgements: I would like to sincerely ...
متن کاملConstructing network codes using Möbius transformations
We study error correcting constant dimension subspace codes for network coding. The codewords are F2-subspaces of F2n , having at most 1-dimensional intersections. F2n is contained in the automorphism group of the code. We give a lower bound for the size of such codes, being constructed by a greedy method. Further we describe a code in F22m with 23m codewords, for which we finally present a con...
متن کاملConstructing Maps by Clustering Trajectories
We propose a new approach for constructing the underlying map from trajectory data. This algorithm is based on the idea that road segments can be identified as stable subtrajectory clusters in the data. For this, we consider how subtrajectory clusters evolve for varying distance values, and choose stable values for these, in this way avoiding a global proximity parameter. Within trajectory clus...
متن کاملLearning Transformations for Clustering and Classification Learning Transformations for Clustering and Classification
A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The corresponding subspace clustering problem has been extensively studied in the literature to partition such highdimensional data into clusters corresponding to...
متن کاملConstructing Distributed Representations Using Additive Clustering
If the promise of computational modeling is to be fully realized in higherlevel cognitive domains such as language processing, principled methods must be developed to construct the semantic representations used in such models. In this paper, we propose the use of an established formalism from mathematical psychology, additive clustering, as a means of automatically constructing binary represent...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2021
ISSN: ['1095-7146', '0895-4801']
DOI: https://doi.org/10.1137/20m1330658