Custom agents

Autonomous Agent Aho-Corasick Multi-Pattern String Matching Trie Automaton with Failure Links

GenPark AI Agent Skill - Propensity score matching and Inverse Probability Weighting (IPW) estimator calculating Average Treatment Effect (ATE) under conditional ignorability.

Autonomous Agent Tapestry Decentralized Object Location and Routing (DOLR) Mesh Protocol

GenPark AI Agent Skill - Concolic testing and symbolic branch inversion engine recording concrete-symbolic execution paths and targeting unvisited code branches.

GenPark AI Agent Skill - Truthful Vickrey-Clarke-Groves (VCG) auction mechanism with Clarke pivot payments guaranteeing dominant-strategy incentive compatibility.

GenPark AI Agent Skill - Presburger linear integer arithmetic decision procedure solving systems of linear inequalities for agent safety guard synthesis.

GenPark AI Agent Skill - Instrumental Variable (IV) Two-Stage Least Squares (2SLS) causal estimator isolating unobserved confounding and testing instrument strength.

GenPark AI Agent Skill - Instrumental Variable (IV) Two-Stage Least Squares (2SLS) causal estimator isolating unobserved confounding and testing instrument strength.

GenPark AI Agent Skill - Infinite-horizon Markov Decision Process (MDP) solver computing optimal state-value functions and greedy action policies via Bellman value iteration.

Autonomous Agent Lamport Vector Clock Causality Tracker & Partial Order Concurrency Engine

Autonomous Agent Double Ratchet Key Derivation & Forward-Secret End-to-End Secure Channel Engine

Autonomous Agent Michael-Scott Lock-Free Concurrent FIFO Queue with Two-Pointer Linearization

Grover amplitude amplification search algorithm providing quadratic speedup O(sqrt(N)) for unstructured databases and combinatorial satisfaction problems.

Autonomous Agent Shamir (k, n) Secret Sharing Threshold Scheme with Polynomial Interpolation

GenPark AI Agent Skill - Truthful Vickrey-Clarke-Groves (VCG) auction mechanism with Clarke pivot payments guaranteeing dominant-strategy incentive compatibility.

GenPark AI Agent Skill - Exact probabilistic inference engine for discrete Bayesian networks computing posterior marginals via factor product and variable elimination.

Autonomous Agent Lempel-Ziv-Welch (LZW) Adaptive Lossless Dictionary Compression & Decompression Engine

Echo State Network (ESN) reservoir computing framework mapping temporal sequences into high-dimensional non-linear dynamical recurrent states.

Izhikevich phenomenological spiking neuron model reproducing tonic spiking, phasic spiking, and chattering bursting patterns via two coupled 2D ODEs.

Autonomous Agent Consistent Hashing Ring with Virtual Nodes for Bounded-Load Distributed Sharding

GenPark AI Agent Skill - 1D linear Kalman filter performing optimal state estimation, noisy sensor fusion, and recursive error covariance minimization.

GenPark AI Agent Skill - Dijkstra's Weakest Precondition (wp) predicate transformer calculus engine backward-propagating postconditions through assignment statements and branch conditions.

Autonomous Agent Discrete Wavelet Transform (DWT) Multi-Resolution Subband Decomposition Engine

Autonomous Agent Singular Value Decomposition (SVD) Power Iteration for Low-Rank Dimensionality Reduction

Autonomous Agent Pastry Overlay Network with Base-16 Prefix Routing & Proximity Leaf Sets

GenPark AI Agent Skill - Bimatrix normal-form game solver identifying pure Nash equilibria and calculating 2x2 mixed-strategy Nash equilibria.

Autonomous Agent Discrete Wavelet Transform (DWT) Multi-Resolution Subband Decomposition Engine

Autonomous Agent Tapestry Decentralized Object Location and Routing (DOLR) Mesh Protocol

Quantum Phase Estimation (QPE) and Quantum Fourier Transform (QFT) solver recovering eigenphases of unitary operators with arbitrary precision.

Autonomous Agent Fictitious Play Empirical Belief Learning & Nash Equilibrium Convergence Engine

Autonomous Agent Consistent Hashing Ring with Virtual Nodes for Bounded-Load Distributed Sharding

Autonomous Agent Damerau-Levenshtein Edit Distance & Optimal Transposition String Alignment Engine

Autonomous Agent Cholesky Decomposition LL^T Solver for Symmetric Positive-Definite Covariance Matrices

Autonomous Agent Lempel-Ziv-Welch (LZW) Adaptive Lossless Dictionary Compression & Decompression Engine

Autonomous Agent Butterworth Infinite Impulse Response (IIR) Digital Low-Pass Filter Designer

Autonomous Agent Kademlia Distributed Hash Table (DHT) Routing Table with 160-bit XOR Metric & K-Buckets

Autonomous Agent Cryptographic Merkle Tree Engine with SHA-256 Audit Path Generation & Proof Verification

Autonomous Agent Damerau-Levenshtein Edit Distance & Optimal Transposition String Alignment Engine

Autonomous Agent Double Ratchet Key Derivation & Forward-Secret End-to-End Secure Channel Engine

Echo State Network (ESN) reservoir computing framework mapping temporal sequences into high-dimensional non-linear dynamical recurrent states.

Autonomous Agent Borda Count & Condorcet Winner Social Choice Collective Decision Engine

Autonomous Agent Chandy-Lamport Global Snapshot & Consistent Cut State Recording Engine

GenPark AI Agent Skill - Dijkstra's Weakest Precondition (wp) predicate transformer calculus engine backward-propagating postconditions through assignment statements and branch conditions.

Autonomous Agent Douglas-Peucker Recursive Polyline Decimation & Trajectory Simplification Engine

GenPark AI Agent Skill - Graph-theoretic backdoor criterion validator and minimal confounder adjustment set identifier ensuring unconfounded causal effect estimation.

Autonomous Agent Verifiable Delay Function (VDF) Sequential Squaring & Rapid Proof Verification Engine

Autonomous Agent LU Factorization with Partial Pivoting (LUP) Matrix Inversion & Linear Solver

GenPark AI Agent Skill - Structural Causal Model (SCM) DAG engine evaluating observational distributions and simulating Pearl's do-calculus interventions.

GenPark AI Agent Skill - Sequential Importance Resampling (SIR) particle filter for non-linear, non-Gaussian Monte Carlo agent state tracking and localization.

GenPark AI Agent Skill - Constraint Satisfaction Problem (CSP) solver implementing Arc Consistency AC-3 and Minimum Remaining Values (MRV) backtracking search.

Autonomous Agent Douglas-Peucker Recursive Polyline Decimation & Trajectory Simplification Engine

Autonomous Agent HyperLogLog (HLL) Probabilistic Distinct Elements Cardinality Estimator

Autonomous Agent Kademlia Distributed Hash Table (DHT) Routing Table with 160-bit XOR Metric & K-Buckets

Rank Order Temporal Spike Encoder converting continuous multi-dimensional sensory features into exact millisecond spike arrival sequences.

Autonomous Agent Borda Count & Condorcet Winner Social Choice Collective Decision Engine

Autonomous Agent HyperLogLog (HLL) Probabilistic Distinct Elements Cardinality Estimator

Autonomous Agent Two-Phase Simplex Linear Programming Solver with Primal-Dual Tableau & Shadow Price Analysis

GenPark AI Agent Skill - Loop invariant inductiveness and total correctness prover verifying initialization, preservation, and postcondition implication.

GenPark AI Agent Skill - Presburger linear integer arithmetic decision procedure solving systems of linear inequalities for agent safety guard synthesis.

Autonomous Agent Normalized Compression Distance (NCD) & Kolmogorov Complexity Universal Metric

Autonomous Agent Delaunay Triangulation & Voronoi Dual Planar Graph Tessellation Engine

High-performance Moller-Trumbore 3D ray-triangle intersection engine computing exact barycentric coordinates and hit distances in pure Python.

Universal n-qubit quantum statevector circuit simulator supporting arbitrary unitary gates, Hadamard, CNOT entanglement, Pauli Pauli-X/Y/Z, and multi-qubit measurement with 0-pip pure Python.

Autonomous Agent Evolutionary Stable Strategy (ESS) & Replicator Dynamics Population ODE Solver

Autonomous Agent Tabular Q-Learning Temporal Difference Reinforcement Learning Engine with Epsilon-Greedy Exploration

Autonomous Agent Two-Phase Simplex Linear Programming Solver with Primal-Dual Tableau & Shadow Price Analysis

Autonomous Agent Simulated Annealing Combinatorial Metaheuristic Optimizer with 2-Opt Neighborhood Perturbation

Autonomous Agent Conjugate Gradient Krylov Subspace Iterative Solver for SPD Linear Systems

Autonomous Agent Fictitious Play Empirical Belief Learning & Nash Equilibrium Convergence Engine

Autonomous Agent CYK (Cocke-Younger-Kasami) Probabilistic Context-Free Grammar (PCFG) Parser

Autonomous Agent Radix-2 Cooley-Tukey Fast Fourier Transform (FFT) & Inverse Spectral Synthesis Engine

Biological Leaky Integrate-and-Fire (LIF) neuromorphic simulator with membrane potential dynamics, refractory period, and discrete event spike emission.

GenPark AI Agent Skill - Cooperative game theory Shapley value engine computing fair payoff allocations based on marginal coalition contributions.

Quantum Phase Estimation (QPE) and Quantum Fourier Transform (QFT) solver recovering eigenphases of unitary operators with arbitrary precision.

GenPark AI Agent Skill - Cooperative game theory Shapley value engine computing fair payoff allocations based on marginal coalition contributions.

Autonomous Agent Monotone Chain Graham Scan 2D Convex Hull with Area & Perimeter Enclosure Calculator

Spike-Timing-Dependent Plasticity (STDP) unsupervised Hebbian synaptic learning rule with asymmetric exponential long-term potentiation and depression.

Autonomous Agent Short-Time Fourier Transform (STFT) Time-Frequency Spectrogram Engine with Windowing

Autonomous Agent KD-Tree Multi-Dimensional Spatial Indexer for Nearest-Neighbor & Range Queries

GenPark AI Agent Skill - Pearl's 3-step counterfactual inference engine executing Abduction, Action (do-surgery), and Prediction to answer what-if causal inquiries.

Autonomous Agent Kuhn-Munkres (Hungarian) Bipartite Matching Algorithm for Optimal 1-to-1 Task-Agent Assignment

Autonomous Agent Count-Min Sketch Probabilistic Sublinear Heavy Hitters Frequency Estimator

Autonomous Agent Minimax Adversarial Decision Search Engine with Alpha-Beta Pruning

Deterministic Deutsch-Jozsa quantum algorithm solver distinguishing constant vs balanced Boolean black-box functions in an exact single query with 0-pip Python.

Deterministic Deutsch-Jozsa quantum algorithm solver distinguishing constant vs balanced Boolean black-box functions in an exact single query with 0-pip Python.

Universal n-qubit quantum statevector circuit simulator supporting arbitrary unitary gates, Hadamard, CNOT entanglement, Pauli Pauli-X/Y/Z, and multi-qubit measurement with 0-pip pure Python.

GenPark AI Agent Skill - Infinite-horizon Markov Decision Process (MDP) solver computing optimal state-value functions and greedy action policies via Bellman value iteration.

Autonomous Agent Monotone Chain Graham Scan 2D Convex Hull with Area & Perimeter Enclosure Calculator

GenPark AI Agent Skill - Deductive program verifier validating Hoare logic triplets {P} C {Q} across state transitions, assignment axioms, and conditional branches.

Autonomous Agent Minimax Adversarial Decision Search Engine with Alpha-Beta Pruning

GenPark AI Agent Skill - 1D linear Kalman filter performing optimal state estimation, noisy sensor fusion, and recursive error covariance minimization.

GenPark AI Agent Skill - Structural Causal Model (SCM) DAG engine evaluating observational distributions and simulating Pearl's do-calculus interventions.

Autonomous Agent Chord Distributed Hash Table (DHT) Protocol with M-Bit Circular Finger Tables

Autonomous Agent Min-Cost Max-Flow (MCMF) Solver via Successive Shortest Path and Residual Network SPFA

GenPark AI Agent Skill - Propensity score matching and Inverse Probability Weighting (IPW) estimator calculating Average Treatment Effect (ATE) under conditional ignorability.

Autonomous Agent Count-Min Sketch Probabilistic Sublinear Heavy Hitters Frequency Estimator

Autonomous Agent 32-bit Finite-Precision Arithmetic Coding Lossless Compression Engine with Underflow Prevention

Autonomous Agent Max-Sum Factor Graph Belief Propagation Engine for Decentralized Coordination

High-performance Moller-Trumbore 3D ray-triangle intersection engine computing exact barycentric coordinates and hit distances in pure Python.

Autonomous Agent Short-Time Fourier Transform (STFT) Time-Frequency Spectrogram Engine with Windowing