Beat 1 · Concrete
A belief that sharpens
A wide guess about a hidden value; each datum slides and tightens it toward the truth.
Beat 2 · Abstract
Prior × likelihood
Same mechanism, stripped: a prior, multiplied by each datum's likelihood, gives a tighter posterior.
Beat 3 · Interactive
Add data, watch it tighten
Click to add observations. More data narrows the posterior around the true value.
data: 0 · uncertainty: wide
Field notes · the statistical turn
1988
Bayesian networks
Judea Pearl gave probability a graph: nodes are variables, edges carry belief that propagates as evidence arrives.
Speech
HMMs & SVMs
Hidden Markov models drove speech recognition; kernel methods and support-vector machines won on the margin.
Jelinek
"Fire a linguist"
"Every time I fire a linguist, the system gets better." Data and statistics outran hand-written rules.