Abstractions - jejjohnson/research_journal_v2 GitHub Wiki
Hierarchical Assemblages of Hypothesis
- Conservation Laws - Game of Dependencies, Model Form
- System Architecture - Discretization
- Process Parameterization
- Uncertainty Specification
- Inference Procedure
Model Components
- Quantity of Interest
- Observations
- Latent Variables
- Parameters
- State
Game of Dependencies
- Time & Space - Independent
- Time & Space - Partially Dependent
- Space - Globally Dependent
- Time - Autoregressive
Model Form
- Unconditional vs Conditional
- Parametric vs Generative
- Static vs Dynamic
Discretization
- Regular
- Rectilinear
- Curvilinear
- Unstructured Grid - (Finite Element, Finite Volume, Graphs) | (Line Segments, Triangles, Quadilaterals, Tetrahedrals)
- Point-Clouds
Parameterizations
- Linear
- Basis Function
- Non-Linear
- Neural Network
- Functional - Neural Field, DeepONer, Neural Operator
Uncertainty
- Deterministic
- Probabilistic
- Bayesian
Inference
Bayesian Learning Rule
- MLE
- Approximate Inference
- Sampling
- Hybrid
Task: Learning
- Make Hypothesis, 2) Collect System Data, 3) Assess Likelihood, 4) Improve/Fix Hypothesis
- Check Assumptions about Data —> Data Likelihood
- State & Parameter Estimation
- Process Parameterization Estimation
- System Architecture Estimation