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Search Publications by: Eswaran Subrahmanian (Assoc)

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Displaying 1 - 21 of 21

Workshop on Compositional Structures in Systems Engineering and Design

December 20, 2024
Author(s)
Spencer Breiner, Eswaran Subrahmanian, Joseph Moeller, Priyaa Varshinee Srinivasan
The focus of this workshop is to foster the development of applications of category theory to systems engineering and design. We are interested in bringing together experts from engineering and applied category theory, and those involved in software tools

Mathematical Entities: Corpora and Benchmarks

May 20, 2024
Author(s)
Jacob Collard, Valeria de Paiva, Eswaran Subrahmanian
Mathematics is a highly specialized domain with its own unique set of challenges. Despite this, there has been relatively little research on natural language processing for mathematical texts, and there are few mathematical language resources aimed at NLP

An Infrastructure for Curating, Querying, and Augmenting Document Data: COVID-19 Case Study

August 8, 2023
Author(s)
Eswaran Subrahmanian, Guillaume Sousa Amaral, Talapady N. Bhat, Mary C. Brady, Kevin G. Brady, Jacob Collard, Sarra Chouder, Philippe Dessauw, Alden A. Dima, John T. Elliott, Walid Keyrouz, Nicolas Lelouche, Benjamin Long, Rachael Sexton, Ram D. Sriram
With the advent of the COVID-19 pandemic, there was the hope that data science approaches could help discover means for understanding, mitigating, and treating the disease. This manifested itself in the creation of the COVID-19 Open Research Dataset (CORD

Category Theory

January 25, 2023
Author(s)
Spencer Breiner, Eswaran Subrahmanian, Ram Sriram
Category theory (CT) is a branch of mathematics concerned with the representation and composition of structured relationships. Recent interest in systems engineering (SE) stems from the possibility that CT might provide a principled mathematical foundation

Extracting Mathematical Concepts from Text

October 12, 2022
Author(s)
Jacob Collard, Valeria de Paiva, Brendan Fong, Eswaran Subrahmanian
We investigate some different systems for extracting mathematical entities from texts in the mathematical field of category theory, as a first step for constructing a mathematical knowledge graph. We consider four different term extractors and compare

Making Semantic Structures Explicit: Developing and Evaluating Tools and Techniques to Support Understanding of Large Cybersecurity Corpora

February 4, 2022
Author(s)
Ira Monarch, Jacob Collard, Sangjin Shin, Eswaran Subrahmanian, Talapady N. Bhat, Ram D. Sriram
This report describes the adaptation, composition and use of natural language processing, machine learning and other computational tools to help make implicit informational structures in very large technical corpora explicit. The tools applied to the

Operads for complex system design specification, analysis and synthesis

June 23, 2021
Author(s)
Spencer Breiner, Eswaran Subrahmanian, John Dusel, John Foley
As the complexity and heterogeneity of a system grows, the challenge of specifying, documenting and synthesizing correct, machine readable designs increases dramatically. Separation of the system into manageable parts is needed to support analysis at

Deconstructing UML, Part 1: Modeling Classes with Categories

May 13, 2021
Author(s)
Sarala Padi, Spencer J. Breiner, Eswaran Subrahmanian, Ram D. Sriram
In this paper we analyze elements of the Unified Modeling Language (UML), specifically the class diagram, and propose an simplified alternative language based on a branch of mathematics called category theory (CT). We argue that modeling in CT provides a

Modeling Hierarchical Systems with Operads

November 4, 2020
Author(s)
Spencer Breiner, Olivier Marie Rose, Blake S. Pollard, Eswaran Subrahmanian
This paper applies operads and functorial semantics to address the problem of failure diagnosis in complex systems. We start with a concrete example, developing a hierarchical interaction model for the Length Scale Interferometer, a high-precision

Workshop on Applied Category Theory: Bridging Theory and Practice

February 7, 2020
Author(s)
Spencer J. Breiner, Blake S. Pollard, Eswaran Subrahmanian
This report presents the summary of a workshop held at NIST on March 15-16, 2018 on the topic of applied category theory (ACT). The meeting had two main goals: (i) mapping the current ACT landscape and (ii) developing a roadmap for transitioning the field

Compositional models for power systems

September 8, 2019
Author(s)
Dhananjay Anand, Blake S. Pollard, Spencer J. Breiner, John S. Nolan, Eswaran Subrahmanian
The problem of integrating multiple overlapping models and data is pervasive in engineering, though often implicit. We consider this issue of model management in the context of the electrical power grid, as it transitions from centralized generation with

Compositional Models for Complex Systems

January 19, 2019
Author(s)
Spencer J. Breiner, Ram D. Sriram, Eswaran Subrahmanian
In this chapter we argue for the use of representations from category theory to support better models for complex systems, and provide an example of such an application might look like. Our approach rests on the well known observation that complex system

Generating Domain Terminologies using Root- and Rule-Based Terms

December 21, 2018
Author(s)
Talapady N. Bhat, John T. Elliott, Ursula R. Kattner, Carelyn E. Campbell, Eswaran Subrahmanian, Ram D. Sriram, Jacob Collard, Monarch Ira
Motivated by the need for exible, intuitive, reusable, and normalized ter- minology for the semantic web, we present a general approach for generat- ing sets of such terminologies from nat- ural language documents. The terms that this approach generates

Categorical Models for Process Planning

November 19, 2018
Author(s)
Spencer J. Breiner, Eswaran Subrahmanian, Albert W. Jones
Process plans provide a structure for 1) identifying the tasks involved in a given process, 2) the resources needed to accomplish them, and 3) a variety of relationships and constraints between these. This information guides important operational decisions

Modeling the Internet of Things (& People): A Foundational Approach

November 16, 2017
Author(s)
Spencer J. Breiner, Eswaran Subrahmanian, Ram D. Sriram
This talk provides an overview of recent NIST work in the Internet of Things (IoT) domain in the Information Technology Laboratory. We begin with some examples and illustrations of the range of IoT systems. In addition to the obvious cyber physical aspects

Towards a Platform for Community-centric Smart Connected Services

April 18, 2017
Author(s)
Eswaran Subrahmanian, Ram D. Sriram, Ramesh Jain
All cities can be seen as a collection of commons. Commons are spaces, services and resources shared by the citizenry. Any change in the state of any one of the commons could lead to a potential action or actions. In this paper we illustrate the use of a

A Category Theoretic Approach to Modeling and Analysis Using Music as a Case Study

January 31, 2017
Author(s)
Sarala Padi, Spencer J. Breiner, Eswaran Subrahmanian, Ram D. Sriram
The goal of this paper is to provide a category theoretic ontology for the creation of a collaborative platform where it allows group of people to share or use the knowledge in a domain. We use Indian music as a case study to demonstrate the power of

Using Category Theory to facilitate multiple manufacturing service database integration

July 20, 2016
Author(s)
Spencer J. Breiner, Albert T. Jones, David I. Spivak, Eswaran Subrahmanian, Ryan Wisnesky
The goal of this paper is to illustrate the use of category theory as a basis for the integration of manufacturing service databases. In this paper we use as our reference prior work by Kolvatunyu, et. al (2013) on the use of Ontology Web Language(OWL)

Functorial Data Migration: From Theory to Practice

November 3, 2014
Author(s)
Eswaran Subrahmanian, Ryan Wisnesky, David Spivak, Patrick Schultz
In this paper we describe a functorial data migration [6] scenario about the manufacturing service capability of a distributed supply chain. The scenario is a category-theoretic analog of an OWL ontology-based \semantic enrichment" scenario [5] developed

A Vision of Cyber-Physical Cloud Computing for Smart Networked Systems

August 26, 2013
Author(s)
Eric D. Simmon, Kyoung-sook Kim, Eswaran Subrahmanian, Ryong Lee, Frederic J. de Vaulx, Yohei Murakami, Koji Zettsu, Ram D. Sriram
A key aspect of the next generation Smart Networked System (SNS) is the bridge between the physical and virtual world. These systems that tightly interlink the cyber and physical worlds are often referred to as Cyber-Physical Systems (CPS). A CPS is the