Faruk Alpay

FABE. High-accuracy SIMD sin/cos/sincos library in C with AVX2, AVX-512, and NEON support. Full-range reduction. Fast at scale. Portable by design.

TextEncryptionWithLinearAlgebra. This project implements a text encoding and decoding system using a matrix-based encoding technique.

NeuroCore. NeuroCore is a native macOS application that visualizes the internal structure of binary files using a Hilbert Curve mapping and Shannon Entropy calculation, accelerated by Metal Compute Shaders.

SMS-Sender. A Python program designed to send SMS messages to numbers through websites.

Aster-Learning-Engine. A cross-platform, renderer-first educational graphics engine built with C++20 and Rust, featuring inspectable rendering pipelines and procedural mesh tooling.

xml-lib. XML-Lib is an over-engineered XML playground with a canonical lifecycle, a guardrail subsystem, Hilbert-backed proofs, and PPTX workflow docs. Use it to trace document phases, reason about enforcement math, and reference detailed presentation pipelines—all in one repository.

OpenGL-Particle-Motion. This project simulates the motion of electrons and protons using Coulomb's Law. The simulation is visually represented on-screen using OpenGL.

DynamicArray. This library implements a std::vector like Dynamic Array data structure in C, allowing for the creation, modification, and manipulation of an array whose size can be dynamically adjusted during runtime.

Semantic-Lexicon. Persona-aware semantic modelling toolkit with NumPy-first pipelines for intent, knowledge, and persona research.

stories100m. This repository contains the reference implementation for the paper "Bare-Metal Tensor Virtualization: Overcoming the Memory Wall in Edge-AI Inference".

hormuz-tectonochemical-engine. MCP-first tectonochemical forecasting engine for reproducible hydrocarbon-nitrogen-water modeling and paper-ready artifacts.

Pointerverse. It turns messy sequences of events into forkable, inspectable, rule-checked histories.

information-bottleneck-beta-optimization. This repository hosts a progressive series of implementations (Code_v1, Code_v2, and beyond) for deterministic β*-optimization in the Information Bottleneck framework. Includes symbolic fusion, multi-path inference, and Alpay Algebra–driven critical point validation (β* = 4.14144).

Epsilon-Delta-Definiton-Simulation. This project provides a visual simulation of the epsilon-delta ratio. Its purpose is to illustrate how the values of a function approach a specific limit point.

prompt-refinery. Retrieval-grounded prompt refinement as a Python library, CLI, and MCP server

PerfLens. PerfLens is a visual Python performance studio (PySide6) that turns cProfile/tracemalloc + stack sampling into interactive flame graphs, timeline traces, memory heatmaps, and call graphs—plus Diff Mode, an optimization coach, session save/load, and one-click HTML reports. Single-file app.py with a zero-input demo.

spectral-packet. Python-first spectral engine for profile-table analysis, modal compression, inverse reconstruction, and MCP/CLI/API workflows.

wasda. 🎵 The first playable AI instrument. Experience transformer attention as music. Interactive visualization where each token is a note.

hyperion-euntime-environment. The Hyperion Runtime is a specialized execution environment designed for high-throughput semantic processing.

PSD. Perturbed Saddle-escape Descent (PSD): a first-order optimizer that escapes strict saddle points in nonconvex problems.

mcp-nexus. MCP server that gives AI assistants access to terminal, files, git, services, databases, monitoring, and deployment on servers.

ordinal-folding-index. Python

adulting-simulator. Python

XiSort. Deterministic external float-64 sorter with IEEE-safe ordering, Blake3 chunk integrity, and low-RAM streaming.

HODGE. Convergence-theoretic reformulation of the Hodge Conjecture for K3 surfaces, with flow-based projection methods, numerical experiments, and symbolic generalizations to abelian varieties and Calabi–Yau threefolds.

anamnesis. Python

ISO-639-2023. large language model

pudu-robot-operation-dashboard. Python

Alpay-Algebra. Lean

Arxiv-Reviewer. Python

Arweave.

txt-to-json-model. C++

embedding-reconstruction-obstructions. Sharp information-theoretic limits for embedding reconstruction via Alpay operator theory.

Evidence-Weighted-Sparse-Recovery-on-Graph-Wavelets. The implementation achieves up to 96.6% accuracy and 0.960 AUC on the UCI SMS Spam Collection dataset, with clear interpretability of learned features.

fake-jepa-ebm. Fake JEPA+EBM: joint GloVe and GPT embeddings, cosine-based energy scoring, exposed as a tool for GPT-5.1 responses API.

local_mind. No readme, no description. Use if you understand.

AION. A bare-metal C11 inference runtime for Apple Silicon. Bypasses the "Abstraction Tax" by leveraging reverse-engineered AMX instructions and manual register tiling to achieve 34+ tok/s on 1.1B models (7.8x speedup over Python/Accelerate).

Optimizer-Comparison-CNN. A comprehensive comparison of SGD, Adam, and custom PSD optimizers on MNIST and CIFAR-10 datasets using PyTorch.

Emphatic-Embeddings. Python

Apple. Originally submitted to Apple Bug Bounty program. They declined, so that I share publicly. Educational purposes only.

xiinfinity-seal. φ^∞ mühürlü kitap

HOPF_LENS_DC. A self-correcting LLM orchestration framework that dynamically creates and refines its own tools through iterative execution loops with convergence guarantees.

Law_Of_Balance.

Gut. This project shows how a simple model could mimic a “gut feeling” by combining biological/entropy principles, basic optimal control, and emergent complexity. It should be treated as a demonstration, not a definitive guide. Always cross-check with real-world data and professional insight before making critical decisions.

Alpay-Advanced-Fractal-Sort. A non-standard, fractal-inspired sorting algorithm with adaptive multi-pivot partitioning and k-way heap merging. Achieves near O(n log log n) performance in ideal cases.

quantum-voxels-online. HTML

quantumlib. A modular quantum computing library in Python featuring QAOA, Grover, HHL, and VQC — built on Qiskit, with future plans to become a QPU-agnostic, from-scratch quantum SDK.

alpay. The Symphonic φ Identity Engine is the first fully symbolic, deterministic identity system. It compresses identity not as a name, key, or hash — but as a recursive deformation signal. Each fold is a memory. Each node is a frequency. Each email is a ψ-vector.

local_mind_lightcap.

grammar-constrained-cfl-reachability-empirical. Empirical companion for "Grammar-Constrained (CFL) Reachability": JSONSchemaBench analysis, JSON Schema→CFG conversion, linear vs general classification, manuscript tables (A–E), and plotting scripts.

Entanglement. Rust

pathocore. C++

reachability_decoding. Python

latticebridge. Python