… • We evaluate AlgebraNets based on a wide range of algebras on three challenging large
… AlgebraNets to take advantage of their higher compute density. • We find that AlgebraNets …

… This paper introduces quantum circuit C∗-algebra net, which provides a connection between
C∗-algebra nets proposed in classical machine learning and quantum circuits. Using C∗-…

We propose Geometric Clifford Algebra Networks (GCANs) for modeling dynamical systems.
GCANs are based on symmetry group transformations using geometric (Clifford) algebras. …

In this paper we introduce and study the algebraic generalization of non commutative
convolutional neural networks. We leverage the theory of algebraic signal processing to model …

Hypercomplex neural networks have proven to reduce the overall number of parameters while
ensuring valuable performance by leveraging the properties of Clifford algebras. Recently…

In this thesis connections between categories of interior algebras and categories of topological
spaces, and generalizations of topological concepts to interior algebras, are investigated. …

This paper provides a further step in the program of studying superconformal nets over S1
from the point of view of noncommutative geometry. For any such net A and any family of …

… In this work we will use a representation called Process Algebra Nets to represent the
behaviour (abstraction) of every Web Service described in BPEL. Process algebra nets are a …

… As another experimental example of C∗-algebra nets, we showcase group C∗algebra
nets, which we introduced in Section 3.1.4. The group C∗-algebra nets take functions on a …

In Rep. Math. Phys. 35 (1995), 101, the authors describe a method for constructing directly (ie
without using explicitly any field operator nor any concrete representation of the C*-algebra…