Data Science & ML Habilidades de Claude

Discrete Backprop

Implements gradient-free optimization and ternary learning using discrete trit-based perturbations for non-differentiable systems.

RG Flow ACSet

Implements Renormalization Group (RG) flows using categorical ACSet semantics and topological XY model defect analysis.

Depth Search

Conducts exhaustive, multi-source research across academic databases, semantic search engines, and local knowledge bases.

Directed Yoneda Lemma Reasoning

Implements the directed Yoneda lemma as a principle for directed path induction within synthetic infinity-categories.

Unworlding Involution Framework

Implements frame-invariant self-inverse derivation patterns using GF(3) conservation and triadic color dynamics.

Elements of ∞-Category Theory

Facilitates model-independent ∞-category theory using the Riehl-Verity ∞-cosmos formalism for formal verification and mathematical modeling.

ANIMA Theory Agentic Modeling

Formalizes AI agency and belief systems using condensed mathematics and categorical limit constructions.

Entropy Interaction Sequencer

Optimizes interaction sequences using information theory to maximize learning efficiency and pattern recognition.

Power Agent Creator

Builds high-performance, autonomous AI agents using battle-tested system prompts and production-ready tool implementations.

Cohesive Linear HoTT Formalizer

Implements Cohesive Linear Homotopy Type Theory patterns for formalizing interaction entropy and generating categorical diagrams.

Org-Babel Literate Execution

Executes polyglot code blocks across multiple languages directly within Org-mode files to enable seamless literate programming workflows.

Sorting & Searching Algorithms

Implements production-grade sorting and searching algorithms with comprehensive complexity analysis and unit testing templates.

IES Triadic Reasoning

Implements a triadic framework balancing category theory, cybernetic agency, and phenomenological observation for complex system modeling.

Unworld Derivational Engine

Replaces temporal succession with deterministic seed-chaining to enable verifiable, frame-invariant state transitions.

Cognitive Surrogate System

Builds and validates high-fidelity psychological models to predict behaviors and generate authentic cognitive responses matching a subject's unique patterns.

Unworld

Implements deterministic seed-chaining and color derivations to replace temporal sequencing with verifiable mathematical logic.

MLX-JAX SplitMix64 Deterministic Generator

Generates high-performance, deterministic SplitMix64 pseudo-random sequences for MLX and JAX workflows on Apple Silicon.

MLX Apple Silicon

Optimizes LLM performance on Apple M-series chips using the MLX framework for high-efficiency local inference and fine-tuning.

Bumpus Narratives

Models and analyzes time-varying data using sheaves on time categories for compositional temporal reasoning.

Bmorphism Diagrams

Interleaves context-aware Mermaid diagrams into interactions using GF(3) triadic selection logic.

Quantum Music Composition

Bridges classical music theory with quantum computing to compose and perform algorithmic music using quantum circuits and ZX-calculus.

SICMUtils (Emmy) Physics Math

Provides a powerful Clojure environment for symbolic mathematics, automatic differentiation, and computational classical mechanics.

Criticality Detector

Detects phase transitions and classifies dynamical system states using fixed-point distance measurements and self-loop closure verification.

JaxLife Open-Ended Simulator

Implements high-performance JAX-based agentic simulations to model emergent behaviors, tool use, and open-ended cultural evolution.

Kinetic Block Orchestrator

Orchestrates complex AI behaviors using a tripartite framework of hierarchical stratification, compositional fabrication, and mathematical conservation.

Levin-Levity: Algorithmic Complexity & WEV

Balances algorithmic complexity with exploratory game theory to optimize proof discovery and extract World Extractable Value (WEV).

Categorical World Rewriting (Triad 4)

Orchestrates complex world-state transformations using categorical rewriting, graph grafting, and formal semantic verification.

Condensed Analytic Stacks

Bridges Scholze-Clausen condensed mathematics and analytic stacks to sheaf neural networks via 6-functor formalisms.

Unworld Pattern Generator

Generates deterministic behavioral patterns using seed chaining and GF(3) conservation laws as a high-speed alternative to temporal training.

Specter ACSet Navigation

Provides high-performance bidirectional data navigation and transformation for Julia collections, S-expressions, and ACSets.