# Concepts & architecture

Understand the theory powering calibrated explanations across binary and
multiclass classification plus probabilistic and interval regression.
Start with interpretation and alternatives, then follow the architecture
threads that keep calibration guarantees intact.

For proofs, benchmarks, and citations that underpin these concepts,
visit the {doc}`../../researcher/index` hub before diving into individual
guides.

| Concept | Why it matters |
| --- | --- |
| [Interpret explanations](../how-to/interpret_explanations.md) | Reuses notebook screenshots and walks through dual uncertainty plus the triangular plot. |
| [Probabilistic & interval regression](probabilistic_regression.md) | Shows how calibrated probabilities and interval regression stay in lockstep across quickstarts and notebooks. |
| [Alternatives & triangular plots](alternatives.md) | Explains how the triangular view pairs with rule tables for calibrated alternatives. |
| [Architecture overview](architecture.md) | Connects runtime components, caching, and plugin guardrails. |
| [Error handling](error_handling.md) | Summarises runtime safeguards and expected exceptions. |
| [Explanation structures](explanation_structures.md) | Documents the internal data structures used by CalibratedExplanation classes. |
| [Guarded explanations](guarded_explanations.md) | In-distribution filtering via conformal anomaly detection for trustworthy rules. |
| [Calibrated interval semantics](calibrated_interval_semantics.md) | Canonical semantics, assumptions, and non-guarantees for all three modes. |
| [Terminology standardization](terminology.md) | Summarises the shift to probabilistic regression terminology and compatibility guarantees. |
| [Terminology: thresholded vs probabilistic regression](terminology_thresholded_vs_probabilistic_regression.md) | Clarifies language used across ADR-021 and user-facing regression docs. |

```{toctree}
:maxdepth: 1

probabilistic_regression
alternatives
architecture
error_handling
explanation_structures
guarded_explanations
calibrated_interval_semantics
terminology
terminology_thresholded_vs_probabilistic_regression
```

Entry-point tier: Tier 3.