LearnFCA: A Fuzzy FCA and Probability Based Approach for Learning and Classification

Formal concept analysis(FCA) is a mathematical theory based on lattice and order theory used for data analysis and knowledge representation. Over the past several years, many of its extensions have been proposed and applied in several domains including data mining, machine learning, knowledge management, semantic web, software development, chemistry ,biology, medicine, data analytics, biology and ontology engineering. This thesis reviews the state-of-the-art of theory of Formal Concept Analysis(FCA) and its various extensions that have been developed and well-studied in the past several years. We discuss their historical roots, reproduce the original definitions and derivations with illustrative examples. Further, we provide a literature review of it’s applications and various approaches adopted by researchers in the areas of dataanalysis, knowledge management with emphasis to data-learning and classification problems. We propose LearnFCA, a novel approach based on FuzzyFCA and probability theory for learning and classification problems. LearnFCA uses an enhanced version of FuzzyLattice which has been developed to store class labels and probability vectors and has the capability to be used for classifying instances with encoded and unlabelled features. We evaluate LearnFCA on encodings from three datasets - mnist, omniglot and cancer images with interesting results and varying degrees of success. Adviser: Dr Jitender Deogu

Workshop Notes of the Sixth International Workshop "What can FCA do for Artificial Intelligence?"

International audienc

Graph Structures for Knowledge Representation and Reasoning

This open access book constitutes the thoroughly refereed post-conference proceedings of the 6th International Workshop on Graph Structures for Knowledge Representation and Reasoning, GKR 2020, held virtually in September 2020, associated with ECAI 2020, the 24th European Conference on Artificial Intelligence. The 7 revised full papers presented together with 2 invited contributions were reviewed and selected from 9 submissions. The contributions address various issues for knowledge representation and reasoning and the common graph-theoretic background, which allows to bridge the gap between the different communities

Proceedings of Monterey Workshop 2001 Engineering Automation for Sofware Intensive System Integration

The 2001 Monterey Workshop on Engineering Automation for Software Intensive System Integration was sponsored by the Office of Naval Research, Air Force Office of Scientific Research, Army Research Office and the Defense Advance Research Projects Agency. It is our pleasure to thank the workshop advisory and sponsors for their vision of a principled engineering solution for software and for their many-year tireless effort in supporting a series of workshops to bring everyone together.This workshop is the 8 in a series of International workshops. The workshop was held in Monterey Beach Hotel, Monterey, California during June 18-22, 2001. The general theme of the workshop has been to present and discuss research works that aims at increasing the practical impact of formal methods for software and systems engineering. The particular focus of this workshop was "Engineering Automation for Software Intensive System Integration". Previous workshops have been focused on issues including, "Real-time & Concurrent Systems", "Software Merging and Slicing", "Software Evolution", "Software Architecture", "Requirements Targeting Software" and "Modeling Software System Structures in a fastly moving scenario".Office of Naval ResearchAir Force Office of Scientific Research Army Research OfficeDefense Advanced Research Projects AgencyApproved for public release, distribution unlimite

A heuristic-based approach to code-smell detection

Encapsulation and data hiding are central tenets of the object oriented paradigm. Deciding what data and behaviour to form into a class and where to draw the line between its public and private details can make the difference between a class that is an understandable, flexible and reusable abstraction and one which is not. This decision is a difficult one and may easily result in poor encapsulation which can then have serious implications for a number of system qualities. It is often hard to identify such encapsulation problems within large software systems until they cause a maintenance problem (which is usually too late) and attempting to perform such analysis manually can also be tedious and error prone. Two of the common encapsulation problems that can arise as a consequence of this decomposition process are data classes and god classes. Typically, these two problems occur together – data classes are lacking in functionality that has typically been sucked into an over-complicated and domineering god class. This paper describes the architecture of a tool which automatically detects data and god classes that has been developed as a plug-in for the Eclipse IDE. The technique has been evaluated in a controlled study on two large open source systems which compare the tool results to similar work by Marinescu, who employs a metrics-based approach to detecting such features. The study provides some valuable insights into the strengths and weaknesses of the two approache

Statically-analyzed stream monitoring for cyber-physical Systems

Cyber-physical systems are digital systems interacting with the physical world. Even though this induces an inherent complexity, they are responsible for safety-critical tasks like governing nuclear power plants or controlling autonomous vehicles. To preserve trust into the safety of such systems, this thesis presents a runtime verification approach designed to generate trustworthy monitors from a formal specification. These monitors are responsible for observing the cyber-physical system during runtime and ensuring its safety. As underlying language, I present the asynchronous real-time specification language RTLola. It contains primitives for arithmetic properties and grants precise control over the timing of the monitor. With this, it enables specifiers to express properties relevant to cyber-physical systems. The thesis further presents a static analysis that identifies inconsistencies in the specification and provides insights into the dynamic behavior of the monitor. As a result, the resource consumption of the monitor becomes predictable. The generation of the monitor produces either a hardware description synthesizable onto programmable hardware, or Rust code with verification annotation. These annotations allow for proving the correctness of the monitor with respect to the semantics of RTLola. Last, I present the construction of a conservative hybrid model of the underlying system using information extracted from the specification. This model enables further verification steps.Cyber-physische Systeme sind digitale Systeme, die mit der physischen Welt interagieren. Obwohl das zu einer inhärenten Komplexität führt, sind sie verantwortlich für sicherheitskritische Aufgaben wie der Steuerung von Kernkraftwerken oder autonomen Fahrzeugen. Umdas Vertrauen in deren Sicherheit zu wahren, präsentiert diese Doktorarbeit einen Ansatz zur Laufzeitverifikation, konzipiert, um vertrauenswürdige Monitore aus einer formalen Spezifikation zu generieren. Diese Monitore sind dafür verantwortlich, das cyber-physische System zur Laufzeit zu überwachen und dessen Sicherheit zu gewährleisten. Als zugrundeliegende Sprache präsentiere ich die asynchrone Echtzeit-Spezifikationssprache RTLola. Sie enthält Primitiven für arithmetische Eigenschaften und gewährt präzise Kontrolle über das Timing des Monitors. Damit wird es Spezifizierenden ermöglicht Eigenschaften auszudrücken, die für Cyber-physische Systeme relevant sind. Weiterhin präsentiert diese Doktorarbeit eine statische Analyse, die Unstimmigkeiten in der Spezifikation identifiziert und Einblicke in das dynamische Verhalten des Monitors liefert. Aufgrund dessen wird der Ressourcenverbrauch des Monitors vorhersehbar. Die Generierung des Monitors erzeugt entweder eine Hardwarebeschreibung, die auf programmierbarer Hardware synthetisiert werden kann, oder Rust Code mit Verifikationsannotationen. Diese Annotationen erlauben es, die Korrektheit des Monitors bezogen auf die Semantik von RTLola zu beweisen. Abschließend präsentiere ich die Konstruktion von einem konservativen hybriden Modell des zugrundeliegenden Systems anhand von Informationen, die aus der Spezifikation gewonnen wurden. Dieses Modell ermöglicht weitere Verifikationsschritte

Q(sqrt(-3))-Integral Points on a Mordell Curve

We use an extension of quadratic Chabauty to number fields,recently developed by the author with Balakrishnan, Besser and M ̈uller,combined with a sieving technique, to determine the integral points overQ(√−3) on the Mordell curve y2 = x3 − 4