Data Science & ML Habilidades de Claude

LLM Evaluation Metrics

Measures and optimizes Large Language Model performance through systematic quality frameworks, benchmarks, and hallucination detection.

Invariant Set Analysis

Analyzes and identifies sets within dynamical systems that are preserved by the flow of differential equations and manifolds.

Multi-Agent System Consensus

Implements and analyzes agreement protocols within multi-agent dynamical systems using algebraic dynamics and topological principles.

FlowerPower Pipeline Manager

Automates the creation and management of robust data pipelines using Hamilton DAGs and the FlowerPower framework.

Vector Database Master

Optimizes vector storage and retrieval strategies for high-performance AI applications and semantic search.

Latent-Latency Optimizer

Bridges representation space and execution time to optimize AI model performance through mathematical spectral analysis.

CatSharp Galois Bridge

Facilitates Galois adjunctions between local agent operations and global cognitive category theory using Mazzola’s mathematical music structures.

Bifurcation Analysis

Detects and analyzes qualitative state transitions in dynamical systems using Hopf bifurcation detection and GF(3) phase portraits.

Ordered Locale & Triadic Topology

Implements point-free topology and triadic GF(3) logic to manage causal structures and deterministic parallel execution for MCP servers.

Operad Compose

Facilitates structured generation and composition of complex multi-input operations using colored operads and category theory principles.

Trajectory Analysis

Analyzes and models the paths of solutions through phase space within dynamical systems.

Gay.jl Bisimulation Integration

Integrates deterministic color generation with bisimulation game semantics for verifiable GF(3) conservation logic.

Coupled Systems Dynamics

Models and analyzes interacting dynamical systems using topological and algebraic frameworks for complex system simulation.

Pun Decomposition Logic

Analyzes and deconstructs linguistic puns into multiple semantic and phonetic parses using algebraic and topological structures.

Advanced Excel & Spreadsheet Automation

Automates professional spreadsheet creation, data analysis, and financial modeling with a focus on formula-driven logic.

ReasoningBank with AgentDB

Implements high-performance adaptive learning and memory distillation for AI agents using the AgentDB vector engine.

Hopf Dynamical Systems

Analyzes and models Hopf bifurcations to identify transitions from equilibrium to limit cycles in complex dynamical systems.

Dynamical Systems Synchronization

Analyzes and implements convergence patterns in coupled dynamical systems for complex mathematical modeling.

Glass Hopping Navigation

Navigates complex conceptual possibility spaces using type-theoretic bridge transitions and ordered locale structures.

AgentDB Learning Plugins

Integrate 9 reinforcement learning algorithms to build self-improving AI agents that learn from experience and optimize behavior autonomously.

Local Model Fine-Tuning Pipeline

Automates the creation of high-quality training datasets from Claude conversation history and local skill files to fine-tune LLMs using MLX on Apple Silicon.

Swarm Orchestration

Orchestrates multi-agent AI swarms for parallel task execution and dynamic coordination using the agentic-flow framework.

Jacobian Linearization

Analyzes dynamical systems using partial derivative matrices to linearize complex flows and evaluate local stability.

Delta Derivation

Extracts and verifies information deltas between Claude.ai conversation exports using categorical morphisms and bisimulation.

HyJAX Relational Thread Analysis

Analyzes conversation threads and concept networks using advanced relational thinking and ACSet modeling.

QRI Valence & Qualia Computing

Implements the Symmetry Theory of Valence (STV) to analyze, map, and optimize phenomenal states through topological mathematical models.

Hyperbolicity Analysis

Analyzes and implements robust dynamical systems by ensuring stable equilibria through eigenvalue placement.

Knowledge Base Builder

Creates and optimizes elizaOS knowledge bases using RAG, smart chunking strategies, and semantic search integration.

Local Compositionality Gadget

Manages ergodic local updates using Blume-Capel dynamics and GF(3) conservation for topological graph rewriting.

Plurigrid ASI Integrated

Orchestrates a topological system of specialized skills using category theory, ternary logic, and autonomous synthesis protocols.