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Found 5 papers, 0 papers with code
Generalized Gradient Descent is a Hypergraph Functor
In this paper, we show that generalized gradient descent with respect to a given CRDC induces a hypergraph functor from a hypergraph category of optimization problems to a hypergraph category of dynamical systems.
A Categorical Representation Language and Computational System for Knowledge-Based Planning
We show that our proposed representation has advantages over the classical representation in terms of handling implicit preconditions and effects, and provides a more structured framework in which to model and solve planning problems.
Characterizing Compositionality of LQR from the Categorical Perspective
Then we develop new sufficient conditions to guarantee that the LQR designed for a composite system is equal to the LQR attained through composition of LQRs for its subsystems.
A compositional account of motifs, mechanisms, and dynamics in biochemical regulatory networks
Turning to quantitative models, we associate a regulatory network with a Lotka-Volterra system of differential equations, defining a functor from the category of signed graphs to a category of parameterized dynamical systems.
Unsupervised Construction of Knowledge Graphs From Text and Code
We take advantage of this specificity by presenting a novel process for joint clustering text concepts that combines word-embeddings, nonlinear dimensionality reduction, and clustering techniques to assist in understanding, organizing, and comparing software in the open science ecosystem.
