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SkillsMP has collected 4,114 skills from hiyenwong/ai_collection. Open a skill to review its source and details.
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Adaptive conduction delays and phase locking in spiking Haken Lighthouse networks. Theory of phase-locked activity in delayed spiking networks using analytically tractable event-based neural dynamics. Introduces activity-dependent white matter plasticity with…
Coquasi-bialgebroid theory over noncommutative base algebras using Takeuchi coalgebra formalism. Product associative up to invertible normalized 3-cocycle, with twisting theorem by convolution-invertible 2-cochains and Connes-Moscovici-type constructions.
Data-driven methodology for selecting optimal subsampling rates in SDE parameter estimation when data-model compatibility scales are unknown.
Information from coincidences — a single algebraic mixed coincidence identity that unifies information-theoretic variational results (Sanov, Chernoff, PAC-Bayes, Renyi). Use when deriving multi-prior information bounds, analyzing hypothesis testing error…
Projector Variational Ansatz (PVA) methodology for VQE that bridges NISQ variational and FTQC algorithm structures. Combines shallow ansatz depth with projector-based ground state identification.
Simulatable Processes framework for learning under dependent data with access to a simulator. Recovers PAC-style VC-dimension bounds for arbitrarily complex dependent processes, with regret controlled by time-bounded Kolmogorov complexity. COLT 2026 paper.…
Decidability theory for Set of Output Sets (SOS) tasks in asynchronous distributed systems with crash failures. Use when analyzing distributed task solvability, understanding crash tolerance, or designing consensus/set agreement protocols. Keywords:…
AHA-WAM - Asynchronous Horizon-Adaptive World-Action Model for robot manipulation. Dual DiT architecture with low-frequency world planner and high-frequency action expert. Features observation-guided video-context routing (OVCR), horizon-adaptive offset…
Model-structure-free attack detection for cyber-physical systems using TimesFM time-series foundation model as surrogate residual generator. Zero-shot detection without plant model knowledge, handling both model-free replay attacks and model-based stealthy…
Classical probability model that reproduces the disjunction effect via expectation-parameter partitioning, proving classical and quantum-like models have equivalent expressiveness for decision rates.
Integral geometry methodology for computing degrees of tensor train varieties.
DevoTG: Temporal Graph Neural Networks for modeling C. elegans developmental connectomics, capturing dynamic wiring through continuous-time and discrete-time dynamic graphs.
Haldane fractional exclusion statistics as tunable thermodynamic resource for quantum heat engines — bosonic working mediums exceed fermionic Whitney power limit by 1.52×.
γ_c-Peak covariant quantum error recovery methodology across organic qubit platforms — cryptochrome, MAO-A, Posner molecules, and radical-pair systems. Applicable to quantum brain models, biological quantum coherence, and organic quantum computing platforms.
Graphical coaction methodology for FRW integrals using twisted (co)homology intersection theory — decomposing cosmological integrals into diagram-decorated building blocks.
Higher Gauge Theory via Differential Nonabelian Cohomology — streamlined introduction to global completion of Maxwell-type higher gauge fields using cohesive homotopy theory and flux quantization.
Nonadiabatic holonomic single-qubit gates in non-Hermitian systems — leveraging exceptional points for faster geometric quantum gates while maintaining fault tolerance.
Score-mismatch field methodology for probing probability geometry using Schwinger-Dyson identities. Bridges statistical mechanics, information theory, and quantum field theory through geometric interpretation of equilibrium violations.
Quantum Physics-Informed Neural Networks for solving integro-differential equations (IDEs) and fractional integro-partial differential equations (FIPDEs) using variational quantum circuits with affine feature maps.
Recoverability collapse in self-referential information decoders — thermodynamic framework for analyzing when adaptive systems coupling inference to irreversible action lose recoverability under sustained overload. Use when analyzing AI system stability,…
Quantum SIC-POVM overlap analysis via algebraic number theory — Stark units, ray class fields, and Galois theory for exact quantum state characterization. Use when analyzing SIC-POVM overlaps, quantum state tomography, algebraic number theory in quantum…
Alternative definitions and analysis of "almost i.i.d." quantum states for practical quantum information theory. The i.i.d. assumption is ubiquitous in quantum information theory but too stringent for practical settings. Introduces definitions based on…
Alternating-minimization methodology for large-scale multimode entangling-gate synthesis in trapped-ion systems. Use when designing multi-tone control fields for entangling gates, optimizing spin-spin interactions while suppressing spin-motion entanglement,…
Generalized Bell-like inequality methodology for multiparticle entangled Schrodinger-cat-states. Quantum probability statistics unified formulation. Violation patterns for half-integer vs integer spins. Parity-dependent maximum violation bounds.
Verifier-shielded quantum-AI search architecture for certified autonomous driving repair. Combines Grover/Dür-Høyer minimum finding with classical safety certification.
CIM-BDD methodology — hybrid Bounded-Distance-Decoding solver that reduces LWE to QUBO via penalty-free mapping, using algebraic elimination and adaptive mixed-radix encoding for NISQ devices.
CIM-BDD methodology for LWE cryptanalysis via penalty-free QUBO reduction on Coherent Ising Machines. Use when: analyzing Learning With Errors (LWE) problem security, reducing lattice problems to QUBO for quantum annealing/Ising machines, performing…
Closed-loop decomposition of quantum probabilities from unitarity — Bargmann invariants as phase-invariant loop quantities, Born rule as quadratic structure from forward/reverse amplitude products. Connects quantum probability to number theory (loop…
Compressive quantum state tomography methodology — unified framework for structured quantum state recovery using low-rankness, tensor networks, and compressive sensing principles. Bridges statistics, optimization, and quantum information theory for scalable…
Control-theoretic framework for understanding Quantum Advantage (QA). Recasts quantum computation as operator controllability problem on SU(N), identifying QA with polynomial-in-n upper bound on minimal-time function. Use when: analyzing quantum advantage…
CovAngelo QM/QM/MM multiscale embedding platform for quantum-classical drug discovery simulations. Uses quantum-in-quantum-in-classical embedding for ligand-protein binding modeling.
Parameter-efficient Continuous-Variable photonic Quantum Neural Networks for edge AI deployment. Simplified CV-QNN architecture reduces trainable parameters by 40-45% while maintaining or exceeding classical baseline performance. Barren plateau mitigation via…
Complexity-theoretic benchmark for decoded quantum interferometry (DQI), QAOA, and classical heuristics on bounded-degree max-Ek-LINSAT. Extends NP-hardness to arbitrary finite fields F_q with bounded degree D, proving hardness to exceed r/q + O(1/sqrt(D)).…
DFT-embedded quantum-selected configuration interaction methodology for accurate large-scale electronic structure calculations on quantum computers. Bridges quantum active space treatment with classical wave-function methods using Manby projection technique.…
Distributed Quantum Approximate Optimization Algorithm (DQAOA) simulator for QUBO problems across multiple QPUs. Supports monolithic and distributed QAOA execution modes with configurable QPU capacities, cross-QPU coupling handling, and runtime optimizations.…
Quantum element-wise transforms methodology for efficient matrix operations — reduces space exponentially compared to prior work using polynomial function applied element-wise. Applications to ML, simulation, signal processing.
Exact analytical noise characterization for multipartite entanglement distribution in star network topologies. Derives closed-form expressions for average noise and noise distribution when distributing GHZ states under memory dephasing. Compares factory vs…
Fermions-vs-bosons nonlocality comparison methodology — proving indistinguishable fermions generate correlations that bosons or distinguishable particles cannot reproduce without additional communication. Use when: analyzing fermionic nonlocality, Bell…
Finite-shot quantum metrology methodology - bias-corrected moment estimation with O(ν⁻³) bias correction. Covers calibration curves, central moments, and density-matrix conditions for optimal quantum parameter estimation.
FPQC-SAC methodology — Parameterized Quantum Circuit (PQC) front-end for Soft Actor-Critic (SAC) in low-signal-to-noise-ratio financial reinforcement learning. Addresses Q-value overestimation and policy collapse in noisy financial markets through quantum…