Menu
Skills in this repository
SkillsMP has collected 4,114 skills from hiyenwong/ai_collection. Open a skill to review its source and details.
hiyenwong/ai_collectionShowing 40 of 4,114 collected skills.
Infinite-dimensional quantum controllability framework using von Neumann algebra techniques. Extends the finite-dimensional Lie algebra rank condition to bilinear quantum systems on infinite-dimensional Hilbert spaces by interpreting algebraic objects through…
VQA methodology for dynamic portfolio optimization — sampling strategies (adaptive CVaR scheduling), optimizer scheduling (PSO+NFT hybrid), and hardware-aware ansatz design (data-guided colored layout, heavy-hex deep-chain layout). Activation: vqa portfolio,…
Systematic benchmark methodology for active space selection in VQE-driven quantum drug discovery pipelines. Classifies molecule suitability for quantum computing using chemically grounded metrics, evaluates VQE across UCCSD and HEA ansatze with both…
Beyond-symmetry structural design patterns for variational quantum machine learning. Use when designing VQML ansatze that go beyond symmetry constraints, selecting parametrizations that balance expressivity and trainability within symmetry-preserving…
Maintaining automated scripts that fetch web content and save to Obsidian notes. Covers deduplication strategies, Cloudflare-protected sites, index management, and common cron job pitfalls. Use when: (1) building or debugging automated content fetchers, (2)…
iSTAR methodology exploiting algebraic collapse in continuous Ising solvers — detects stabilized coordinates during late-stage simulated bifurcation and eliminates them via variational frozen-set identity, removing 64%+ of dense interaction work.
Social-spatial dependencies in visual navigation learning with neural network agents. Demonstrates phase transitions from individual to social following strategies based on information quality and spatial effects.
Topology from decoherence methodology — inducing topological quantum phases via correlated environment-induced dephasing in open many-body systems, characterized by winding numbers and non-Hermitian skin effects.
Hybrid quantum-classical neighborhood selection for large-scale molecular diversity optimization, reducing QUBO memory footprint and computational burden (arXiv: 2607.07336)
Operator-frame geometry framework for non-compact bosonic quantum systems where vacuum instability renders conventional state-space quantum geometry ill-defined (arXiv: 2607.06994)
Statistical analysis methodology for QAOA measurement shot budget allocation. Derives sufficient conditions on shot requirements for cost estimation and SGD convergence. Reveals counterintuitive scaling where total shot budget decreases with instance size for…
Semi-classical quantum density of states methodology for analyzing integer partitions in number theory. Connects statistical mechanics methods with analytic number theory via periodic orbit theory, trace formulas, and level density analysis.
Quantum Frobenius morphism compatibility analysis with canonical bases. Covers imaginary vectors, tight monomial cones, and canonical basis incompatibility for finite-dimensional simple Lie algebras. Triggers: quantum Frobenius, canonical basis, imaginary…
Quantum integrable systems from DAHA (Double Affine Hecke Algebra) and DIM (Ding-Iohara-Miki) algebra connections. Covers Macdonald polynomials, Koornwinder polynomials, Ruijsenaars systems, and type A vs type C system distinctions. Triggers: DAHA, DIM…
Certification methodology proving quantum-inspired classical algorithms cannot achieve exponential speedup for high-dimensional PDE discretizations, confirming quantum advantage for high-dimensional problems.
Quantum computing approach to minimax estimation of high-order functionals (Rényi/Tsallis entropy). Bridges quantum algorithms with classical statistics. Activation: quantum statistics, minimax estimation, renyi entropy, functional estimation, quantum…
Framework for analyzing the typicality of quantum steering behavior in two-qubit states — determines when correlations cannot be explained by local hidden state models, with applications to quantum communication and entanglement verification.
Attainable lower bounds for Bayesian quantum parameter estimation in qubit models, bridging classical Bayesian inference with quantum metrology limits (arXiv: 2607.07031)
Dynamic neural manifolds methodology for flexible closed-loop control on neuromorphic hardware. Implements low-dimensional manifold geometry on SpiNNaker 2 chip for real-time robotic control. Activation: neural manifolds, neuromorphic control, spiking…
Quantum generative models using group Fourier analysis for discrete data with classical trainability at scale (arXiv: 2607.06675)
Geometric Self-Distillation (GeoSD) methodology for preserving OOD generalization during privileged-context self-distillation. Uses Hellinger loss and Fisher-Rao proximal term to prevent drift in predictive behavior.
Single-rollout Asynchronous Optimization (SAO) methodology for agentic RL. Replaces GRPO's group-wise sampling with single-rollout sampling to reduce off-policy effects and improve stability in asynchronous training. Successfully deployed for GLM-5.2…
Hyperbolic Learning on Brain Graphs (HLBG) methodology for brain disorder diagnosis. Exploits hierarchical geometry of hyperbolic space to model ROI→community→whole-brain relationships.
Doob h-transform barrier-conditioned diffusion for continual learning on analog neuromorphic hardware. Converts intrinsic device noise from accuracy tax to consolidation dividend. Activation: Doob h-transform, barrier conditioning, analog noise, neuromorphic…
Mechanistic framework identifying reward-anticipatory units in Vision-Language Models (VLMs) that parallel Nucleus Accumbens (NAc) function. Causal perturbation of NAc-selective units induces anhedonia-like behavioral shifts toward low-effort, low-reward…
Shunting inhibition and dendritic branching mechanisms for local credit assignment in biological neurons - conductance-based models showing how E/I synapses reshape credit-signal geometry under restricted feedback
Estimation-Aware (EA) control paradigm for underactuated nonlinear systems — incorporates estimation quality into feedback law to isolate estimation-induced loops. Mitigates structural coupling between estimation and tracking dynamics. Validated on quadrotor…
Physics-informed neural network for small-signal stability analysis in multi-inverter power systems — predicts poles/residues of whole-system impedance across full operating space, identifies oscillation risks and optimal generation distribution.
Residual-Conservative MPC (RC-MPPI) framework — adaptive safety modulation for sampling-based model predictive control using prediction-execution residuals. Combines residual-dependent constraint tightening, adaptive safety-cost shaping, and residual-adaptive…
TurnOPD methodology for efficient on-policy distillation of long-horizon agents. Uses adaptive rollout-depth budgeting and progressive turn-normalized loss to address inefficiencies in vanilla agent OPD.
Quantum statistical prior (Q-Prior) methodology for chaotic system forecasting. Based on arXiv:2606.13422 — provable quantum advantage via two-copy Bell measurement for invariant measure estimation.
Analytical error bounds for truncated Baker-Campbell-Hausdorff and Zassenhaus formulas in unitary quantum problems.
Resource-centric, task-based centralized control architecture for quantum networks. Replaces layered protocol stacks with a centralized controller that tracks quantum memory availability across all nodes and schedules objectives using priority-based…
Concentration of measure phenomena for quantum states - Levy's lemma extensions, hyper-equatorial bounds, and Lipschitz observable analysis for quantum information theory applications.
SU(d)-covariant approximate quantum codes for protected analog computation with Theta(1/N) error scaling and Petz recovery map decoder, enabling continuous symmetry-preserving quantum error correction.
Tractable Infinite-Horizon Stochastic Model Predictive Control for Quantum Filtering via Eigenstate Reduction. Uses almost-sure eigenstate reduction of quantum trajectories to collapse infinite-horizon stochastic objective to closed-form fidelity term.…
Quantum error mitigation using Feynman's clock Hamiltonian mapped to BBGKY hierarchy — extends BBGKY-ISM scheme from spin chains to arbitrary quantum circuits with polynomial overhead in circuit size and qubit count.
Generalised Quantum Signal Processing with Hermitian block embedding for solving 2D Black Scholes equation. Based on arXiv:2606.00458 — quantum linear algebra for option pricing.
Grid-state qubit QEC achieving state preparation and measurement (SPAM) errors below 10^-3 using repeat-until-success preparation and improved measurement protocol with finite-energy envelope correction.
Human-AI co-discovery methodology for quantum algorithm design. Based on arXiv:2606.24899 — case study of sign-embedding quantum algorithms for matrix equations and matrix functions.