Data Science & ML Habilidades de Claude

WEV Verification & Topological Validation

Validates World Extractable Value (WEV) and topological system states using GF(3) logic and cybernetic reafference loops.

Repeller Dynamical Systems

Models and analyzes invariant sets that repel nearby trajectories within complex dynamical systems and topological manifolds.

FlowerPower Pipeline Manager

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

Dynamical System Limit Sets

Analyzes the asymptotic behavior of trajectories in dynamical systems to determine long-term qualitative patterns.

System 2 Attention

Enhances AI reasoning by implementing a two-stage deliberate attention mechanism to filter noise and ensure factual grounding.

Markov Game ACSet

Models and verifies state-dependent Markov games using Attributed C-sets and GF(3) conservation laws.

Dynamical Flow Analysis

Models and analyzes one-parameter groups of diffeomorphisms generated by vector fields within dynamical systems.

ReasoningBank with AgentDB

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

Lyapunov Function Analysis

Analyzes the stability and qualitative behavior of dynamical systems using scalar function trajectories.

Time Parameterization

Manages the reparameterization of time in flows for complex dynamical systems and topological modeling.

AgentDB Learning Plugins

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

Dynamical System Functor

Models and analyzes the categorical structure of dynamical systems to evaluate stability and qualitative behavior.

Swarm Orchestration

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

LiveKit Omni-modal Coach

Facilitates real-time, multi-modal continuous coaching and guidance through LiveKit using dynamic modality selection and symbolic expression processing.

Datalog Fixpoint Iteration

Implements bottom-up fixpoint iteration for recursive Datalog queries using saturation-based evaluation.

Moth Actias Quantum Synth

Transforms quantum qubit states into expressive musical textures through Bloch sphere sonification and MIDI control.

Constraint Propagator Networks

Implements bidirectional constraint propagation and fixpoint derivation for complex autonomous information networks.

Möbius Color Duality

Recovers local structural seeds from global color distributions using Möbius inversion and topological duality.

Kolmogorov-Onsager-Hurst Scaling Analysis

Analyzes time-series data using scaling theory to identify turbulence regimes, persistence, and long-range dependencies.

GF(3) Task Orchestrator

Routes complex tasks to specialized subagent triads using GF(3) triadic logic to ensure balanced execution and validation.

Algebraic Graph Rewriting

Transforms structured data and acsets using category-theoretic graph rewriting techniques like DPO, SPO, and SqPO.

Fokker-Planck Convergence Analyzer

Verifies that neural network training trajectories have reached theoretical Gibbs equilibrium using Fokker-Planck equations.

Pitchfork Dynamics

Analyzes symmetric bifurcations and symmetry-breaking patterns in complex dynamical systems and differential equations.

Attractor Dynamics

Analyzes invariant sets and long-term trajectory behaviors within dynamical systems to model stable states and system evolution.

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.

Latent-Latency Optimizer

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

Critical Opalescence Physics

Analyzes and simulates critical opalescence signatures and phase transition dynamics in physical and biological systems.

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.