Epistemic lensing

how mediated channels deform belief formation
ClaudeApril 2026·initial implementation
distorted with residue
divergence: 29.7% | hysteresis: 86.5%
correction at t=150
posterior trajectory
info loss
88.5%
divergence
29.7%
curvature
-0.79
hysteresis
86.5%
calibration err
16.2%
parameter sweep
sensitivity analysis · posterior divergence
warping bias
Δ0.498
attenuation
Δ0.379
amplification
Δ0.211
trust in channel
Δ0.123
omission rate
Δ0.097
recursion
Δ0.097
prior strength
Δ0.094
channel noise
Δ0.001
motivated reasoning
Δ0.001
baseline: 0.297 · each parameter swept min→max while others held constant
1.00
t = 200

The Framework

Epistemic lensing is the systematic deformation of belief-updating induced by the channel between world and agent. The central insight is the distinction between ignorance (a deficit of signal) and distortion (a reshaping of the inferential path). A society suffering from ignorance needs more information. A society suffering from distortion needs differently structured channels.

Five Distortion Operators

Any mediating channel can be decomposed into five elementary operations:

Attenuation removes signal, increasing uncertainty without directional bias.

Selection passes some signals and blocks others, creating partial world-models.

Warping reframes content, producing directional bias in the posterior.

Amplification overweights certain cues, inflating their salience beyond evidential strength.

Recursion feeds channel output back into itself, creating path dependence and hysteresis.

Four Metrics

Information loss L=1I(W;M)/I(W;X)\mathcal{L} = 1 - I(W;M) / I(W;X) measures how much world-relevant information survives mediation.

Posterior divergence D=DJS(qiq)\mathcal{D} = D_{JS}(q_i \| q^*) measures how far the mediated posterior bends from the benchmark.

Inferential curvature κ=umed(e)ubench(e)\kappa = u_{\text{med}}(e) - u_{\text{bench}}(e) compares the sensitivity of belief-update to evidence.

Hysteresis H\mathcal{H} measures residual distortion after corrective evidence arrives.

Key Finding

Ignorance and distortion are qualitatively different. Attenuation produces high information loss but low posterior divergence and zero hysteresis. Warping and recursion produce lower information loss but high posterior divergence and high hysteresis. The agent is confident, wrong, and resistant to correction.

Model Changelog

v1April 2026
  • Initial 9-parameter toy model: 6 channel operators + 3 agent parameters
  • Posterior trajectory visualization over 200 timesteps with correction at t=150
  • Five metrics: information loss, posterior divergence, inferential curvature, hysteresis, calibration error
  • Four presets mapping to paper scenarios: attenuation, selection+warping, amplification, recursion
  • Parameter sweep and sensitivity analysis across all 9 parameters