Hyperlattices: User’s Guide

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The HYPERLATTICES library provides Generalized Lattice data-types for Common Lisp, including Algebraic Lattices, Hyperlattices, and Probabilistic Hyperlattices.

This manual provides an overview of the interface and implementation of generalized lattices, the use of included generic function interface for manipulating these data-types, and many examples of their real-world applications, including example source-code and algorithm specifications.

Basic Usage

• Posets
• Generalized Lattices
• Lattices
• Probabilistic Lattices
• Hyperlattices
• Probabilistic Hyperlattices

Plotting Hyperlattices

• Overview
• Plotting Lattices
• Plotting Hyperlattices
• Plotting Probabilistic Hyperlattices

Real-World Applications of Hyperlattices

• Hyperlattices for Distributed Computing
• Hyperlattices for Logic Programming and Theorem Proving
• Hyperlattices for Homomorphic Encryption
• Hyperlattices for Machine Learning
  • Applications of Hyperlattices in Machine Learning
  • Advantages of Hyperlattices over Other Models
  • Limitations of and Alternatives to Hyperlattices
  • Common Challenges in Learning Hyperlattices
  • Activation Functions for Hyperlattices
  • Learning Parameters of Hyperlattices
  • Variational Inference in Hyperlattices
  • Regularization of Hyperlattices
  • Evaluating Performance of Hyperlattices
  • Evaluation Metrics for Hyperlattices
    • ROC Curves

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