Tag: Algorithms

A design document for a Kotlin library implementing Constructive Real Arithmetic, focusing on exactness, lazy evaluation, and arbitrary precision for real numbers.

Project specification for a Geometric Theory Inference Engine, aiming for semantic reconstruction of point clouds via evolutionary CSG discovery and a hybrid optimization approach.

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.

A machine-consumable patch format using directed acyclic graphs to represent code changes as semantic operations rather than line-based diffs.

Comprehensive mathematical specification for a permutation-based full-text indexing system extending the Burrows-Wheeler Transform with regex pattern matching and genomic applications.

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.

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.

A novel compression algorithm that simultaneously achieves high-precision spatial data compression and produces analysis-ready intermediate representations for computer vision and graphics applications.

Mathematical framework for cross-camera island matching and 3D object localization using view-aligned scanlines and epipolar constraints

A novel computational framework combining wavelet-decomposed geographic topology with deep neural cellular automata for learning geospatial dynamics from observational data

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.

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.

Novel optimization algorithm hybridizing L-BFGS with gradient descent through quadratic interpolation and magnitude-based normalization

A comprehensive framework for automated prompt optimization using genetic algorithms, enabling systematic improvement of Large Language Model prompts through evolutionary computation.

An in-depth analysis of MindsEye's sophisticated reference counting approach for GPU memory management in Java ML frameworks

Exploring reality as an optimized computational system using hashlife-like algorithms to simulate quantum field dynamics

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.

Novel tree-based data structure integrating optimal coding theory with permutation algebra for entropy-adaptive string processing.

A comprehensive research paper presenting MindsEye, a hybrid memory management system combining reference counting with Java's garbage collection for deep learning applications.

A comprehensive methodology for implementing scalable 2D convolution layers in neural networks, addressing GPU memory constraints through dynamic partitioning