Project: Entropy-Aware Reversible Computing Compiler
A compiler framework for reversible logic gates (Fredkin/Toffoli) that minimizes thermodynamic cost by tracking entropy generation and optimizing garbage bit un-computation.
Tag: algorithms
Design Document: Kotlin Exact Real Arithmetic Toolkit
A design document for a Kotlin library implementing Constructive Real Arithmetic, focusing on exactness, lazy evaluation, and arbitrary precision for real numbers.
Project Specification: Geometric Theory Inference Engine
Project specification for a Geometric Theory Inference Engine, aiming for semantic reconstruction of point clouds via evolutionary CSG discovery and a hybrid optimization approach.
Temporal Asymmetry in Hybrid Cellular Automata: Modeling Neural Substrates via Layered Agents and Life
Explores the 'Binary Coded Layered Automata,' a hybrid simulation merging Langton's Ants and Conway's Game of Life to model neural plasticity and electrochemical activity through distinct temporal layers.
DAG-Based Patch Format Specification
A machine-consumable patch format using directed acyclic graphs to represent code changes as semantic operations rather than line-based diffs.
Permutation-Based Full-Text Index: Mathematical Specification
- 📄 article
- 📋 mathematical
- 🎓 tutorial
Comprehensive mathematical specification for a permutation-based full-text indexing system extending the Burrows-Wheeler Transform with regex pattern matching and genomic applications.
Memory-Mapped Bit-Packed Array Library for Permutation Ring Operations
High-performance C++ library for managing arbitrarily large bit-packed arrays using memory mapping and external sorting algorithms for permutation ring operations on billion-element datasets.
BCLA Simulation Toolkit - Functional Requirements Document
Comprehensive functional requirements specification for the BCLA Simulation Toolkit, a research platform for studying emergent computational phenomena in autonomous agent systems and constrained cellular automata.
Continuous Expectation-Prior RLE: A Unified Framework for Sub-Pixel Compression and Analysis-Ready Spatial Data Representation
A novel compression algorithm that simultaneously achieves high-precision spatial data compression and produces analysis-ready intermediate representations for computer vision and graphics applications.
Multi-Camera Island Correspondence for 3D Object Localization
- 📄 article
- 📋 brainstorm
- 🔭 perspectives
Mathematical framework for cross-camera island matching and 3D object localization using view-aligned scanlines and epipolar constraints
Causal Set Theory for Agent-Based Multiverse Knowledge Graph Generation
A framework for generating interactive narrative multiverses using Causal Set Theory, where documents become spacetime events and reader choices determine causal relationships.
Geographic Wavelet-Invariant Neural Cellular Automata for Differentiable Geospatial Dynamics Learning
A novel computational framework combining wavelet-decomposed geographic topology with deep neural cellular automata for learning geospatial dynamics from observational data
Hypothesis Breeding Grounds
- 📄 article
- 📋 brainstorm
- 🔭 perspectives
A framework for creating environments that foster hypothesis generation and scientific creativity through systematic exploration.
Dual-Constraint Training with Adaptive Anomaly Preservation: A Trust Region Approach for Protecting Intellectual Diversity in Neural Networks
A novel dual-constraint training methodology that preserves intellectual diversity while enabling continued learning in neural networks through adaptive anomaly preservation and trust region approaches.
Trust Region Methods for Neural Network Optimization
- 📄 article
- 📋 brainstorm
- 🔭 perspectives
- 📋 web research
Comprehensive software framework for implementing trust region methods in neural network optimization with Java MindsEye library
Recursive Subspace Optimization (RSO): A Layer-Wise Meta-Learning Approach for Deep Networks
- 📄 article
- 📋 brainstorm
- 🔭 perspectives
- 📋 web research
A novel optimization algorithm that improves deep neural network training by decomposing gradients into layer-wise components and using meta-optimization to find optimal combinations.
Quadratic Quasi-Newton (QQN): A Hybrid Optimization Method with Normalized Line Search
- 📄 article
- 📋 brainstorm
- 🔭 perspectives
- 📋 web research
Novel optimization algorithm hybridizing L-BFGS with gradient descent through quadratic interpolation and magnitude-based normalization
PromptOptimization: A Genetic Algorithm Framework for Automated Prompt Engineering in Large Language Models
- 📄 article
- 📋 brainstorm
- 🔭 perspectives
- 📋 web research
A comprehensive framework for automated prompt optimization using genetic algorithms, enabling systematic improvement of Large Language Model prompts through evolutionary computation.
MindsEye Reference Counting Analysis
- 📄 article
- 📋 brainstorm
- 🔭 perspectives
- 📋 web research
An in-depth analysis of MindsEye's sophisticated reference counting approach for GPU memory management in Java ML frameworks
Computational Substrate Theory: Hashlife Optimization in Quantum Field Simulation
Exploring reality as an optimized computational system using hashlife-like algorithms to simulate quantum field dynamics
Topological Analysis of Knots via Distance Matrix Representations
A novel computational approach to knot theory using distance matrices and persistent homology for efficient knot classification with 88.6% accuracy and 15× speedup over traditional methods.
Entropy-Optimized Permutation Trees for Bijective String Transforms
Novel tree-based data structure integrating optimal coding theory with permutation algebra for entropy-adaptive string processing.
Hybrid Memory Management for Java-Based Deep Learning Systems: A Reference Counting Approach with Static Analysis
- 📄 article
- 📋 brainstorm
- 🔭 perspectives
- 📋 web research
A comprehensive research paper presenting MindsEye, a hybrid memory management system combining reference counting with Java's garbage collection for deep learning applications.
Scalable Implementation of 2D Convolution Layers in Differentiable Neural Networks: A Multi-Tiered Approach with Dynamic Partitioning
- 📄 article
- 📋 brainstorm
- 🔭 perspectives
- 📋 web research
A comprehensive methodology for implementing scalable 2D convolution layers in neural networks, addressing GPU memory constraints through dynamic partitioning
Entropy-Optimized Text Classification: Integrating Compression-Based Learning with Permutation-Aware Data Structures
- 📄 article
- 🔭 perspectives
- 💬 socratic
A novel framework unifying compression-based text classification with entropy-optimized data structures for efficient, interpretable AI systems