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Online Music Alignment with Hidden Markov Models

Performance (Observations) Click to edit notes
Preset
T (steps)
Score (States) Click to edit notes
Forward Variable α click a cell to see its equation
Forward Variable Equation
α̂[t,j] — forward variable (normalized)
α[t-1,i] — previous step
p(obs|state j) — observation
p(state'=j|state=i) — transition
π[j] — initial prob (t=0)
HMM Parameters
Transition Probabilities p(next state = j | current state = i)
μ state shift
σt 0.5
Observation Probabilities p(obs = p | state = j)
Observation model
σ 1.0
Initial Probabilities π[j] = p(start in state j) · click states to concentrate
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speed