PROJECT TITLE :

Hypergraph Partitioning With Embeddings

ABSTRACT:

In scientific computing, problems like distributing large sparse matrix operations have analogous formulations as hypergraph partitioning problems. These problems can be solved using computers. A traditional graph can be generalized into a hypergraph, which allows "hyperedges" to connect an unlimited number of nodes to each other. As a consequence of this, hypergraph partitioning is an NP-hard problem, meaning that its solution or approximation is difficult to achieve. The multilevel paradigm is followed by the state-of-the-art algorithms that are used to solve this problem. This paradigm begins by iteratively "coarsening" the input hypergraph to smaller problem instances that share key structural features. Once an approximate problem that is manageable enough to be solved directly has been identified, the solution to that problem can then be interpolated and refined to apply to the original problem. This strategy is sensitive to coarsening strategy despite the fact that it offers an excellent compromise between quality and running time. In this body of work, we propose making use of graph embeddings of the initial hypergraph in order to make certain that coarsened problem instances retrain important structural characteristics. Our strategy gives higher priority to coarsening within self-similar regions within the input graph, which ultimately results in significantly improved solution quality across the full spectrum of hypergraphs that are taken into consideration.


Did you like this research project?

To get this research project Guidelines, Training and Code... Click Here


PROJECT TITLE : AutoAtlas Neural Network for 3D Unsupervised Partitioning and Representation Learning ABSTRACT: We present a novel neural network architecture that we call AutoAtlas for fully unsupervised partitioning and representation
PROJECT TITLE :A New Contourlet Transform With Adaptive Directional Partitioning - 2017ABSTRACT:A new image sparse representation tool-adaptive contourlet transform (ACT) is introduced in this letter. Adaptive directional partitioning
PROJECT TITLE : Low-Power/Cost RNS Comparison via Partitioning the Dynamic Range - 2016 ABSTRACT: Residue number systems (RNSs) are the main selection in several comparisonand division-free applications (e.g., digital signal
PROJECT TITLE : Weighted Partitioning for Fast Multiplier-less Multiple Constant Convolution Circuit - 2016 ABSTRACT: A replacement radix-3 partitioning technique of natural numbers, derived by the burden partition theory,
PROJECT TITLE :Automatic Selection of Partitioning Variables for Small Multiple DisplaysABSTRACT:Effective small multiple displays are created by partitioning a visualization on variables that reveal fascinating conditional structure

Ready to Complete Your Academic MTech Project Work In Affordable Price ?

Project Enquiry