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SOTA-TR-2026-01·AI Systems · September 2026

Capability Inference

From static scores to probabilistic beliefs about human capability.

Daniel Mahandana, Narvin M., Thabang K. · The Sota Lab
Abstract

Traditional assessment instruments collapse multi-dimensional human competence into a single static score. We formalize capability estimation as an online Bayesian filtering problem over non-stationary evidence streams. By representing capability belief states as Beta distributions B(α, β) coupled with an entropy-regularized pseudo-count discount factor, we avoid the catastrophic score lock-in observed in conventional moving averages while retaining bounded variance under small sample regimes.

01 / The Core Question

How should we represent capability when our evidence is incomplete?

When assessing a human practitioner, evidence arrives as a non-stationary sequence: resume records, project deliverables, proctored code evaluations, peer feedback, and long idle intervals. Single scores discard epistemic uncertainty. Instead, our belief state maintains a continuous probability density over latent mastery.

Evidence Streams→Likelihood Modeling→Conjugate Filter→Posterior Credible Bounds
02 / Interactive Methodology

Updating the Belief

Test how incoming observable evidence alters the latent capability parameter and narrows the credible interval in real time.

Bayesian Belief State P(θ | E)Target Competency: Python / Data Engineering
Latent Expectation E[θ]
68%90% Credible Interval: [45%, 91%]
α = 6.8 (positive evidence)
β = 3.2 (counter evidence)
0.0 (Uncertain)0.5 (Prior)1.0 (Mastery)
Inject Observable Evidence:

Research insight: Every additional observation updates the posterior belief without asserting unjustified certainty. As α and β grow, the variance shrinks, narrowing the [45%, 91%] interval.

03 / Diagnostic Scrutiny

Where the system fails

Empirical Boundary Analysis

Documented Failure Modes

Genuine research maturity requires documenting failure modes with the same empirical scrutiny as benchmark successes:

Ambiguity in Managerial ScopeFailure Mode
Observed Input

"I managed several teams across production cycles ensuring daily targets were hit."

Model Prediction
General Leadership, Project Management, Corporate Oversight
Ground Truth
Manufacturing Shift Operations Management (OFO 312201)

Diagnosis: The token classifier interprets 'managed' as executive administrative leadership rather than grounding the verb in factory shift operational constraints.

Mitigation: Conditioning entity weights on domain co-occurrence embeddings (e.g. 'production cycles' attenuates corporate leadership classification).

TVET Dual-Trade Qualification ConflationFailure Mode
Observed Input

"NC(V) in Electrical Infrastructure Construction with mechanical fitting apprentice modules."

Model Prediction
Mechanical Fitter (OFO 653306), Construction Foreman
Ground Truth
Industrial Electrician (OFO 671101)

Diagnosis: Vocational programs integrate cross-disciplinary foundational modules. The classifier over-indexed on secondary mechanical tokens, downgrading the primary trade accreditation.

Mitigation: Enforcing strict National Qualification Framework (NQF) regulatory gazette hierarchies during graph projection.

Sample Starvation in Bayesian PriorFailure Mode
Observed Input

"Candidate with 1 single observation: Score = 100% (1/1 items correct)."

Model Prediction
Mastery Estimate = 88% (Heuristic / Max Likelihood)
Ground Truth
True Capability = High Epistemic Uncertainty (Credible Interval: [22%, 94%])

Diagnosis: Arithmetic averages or maximum likelihood estimators report absolute certainty on a single correct response. Our Bayesian formulation maintains broad credible intervals rather than premature confidence.

Mitigation: Informative prior initialization with Minimum Information-Gain regularization.

Citation (BibTeX)
@techreport{mahandana2026probabilistic,
  author    = {Mahandana, Daniel and M., Narvin and K., Thabang},
  title     = {Probabilistic Modelling of Latent Human Capability from Sparse Observation Streams},
  institution = {The Sota Lab},
  year      = {2026},
  number    = {SOTA-TR-2026-01},
  url       = {https://sota-lab.lovable.app/research/capability-inference}
}