A Geometric View on Quantum Tensor Networks

Tensor Networks: a quantum-information perspective on numerical renormalization groups

A Geometric View of Similarity Measures in Data Mining

The main objective of data mining is to acquire information from a set of data for prospect applications using a measure. The concerning issue is that one often has to deal with large scale data. Several dimensionality reduction techniques like various feature extraction methods have been developed to resolve the issue. However, the geometric view of the applied measure, as an additional consid...

A Revision of Geometric Training of Architects from Islamic View

This article is about value-based foundations of internalizing of geometry in young students of architecture. Training of geometry has long been an important part of architectural education that can be pursued back up to ancient Egypt and Babylon. But in modernity it has passed a radical change from a sacred one to a value-free job. But more precise look will show that this value-free claim has...

A Geometric View on Constrained M -Estimators

We study the estimation error of constrained M -estimators, and derive explicit upper bounds on the expected estimation error determined by the Gaussian width of the constraint set. Both of the cases where the true parameter is on the boundary of the constraint set (matched constraint), and where the true parameter is strictly in the constraint set (mismatched constraint) are considered. For bo...

Towards Quantum Machine Learning with Tensor Networks

Machine learning is a promising application of quantum computing, but challenges remain as near-term devices will have a limited number of physical qubits and high error rates. Motivated by the usefulness of tensor networks for machine learning in the classical context, we propose quantum computing approaches to both discriminative and generative learning, with circuits based on tree and matrix...