Damped harmonic oscillators with closed-form solutions model keys, values, and queries in continuous attention for irregular time series, preserving universal approximation while being orders of magnitude faster than prior NODE-based methods.
Proof.(1) Using the geometric sum, NX j=0 eijθ = 1−e i(N+1)θ 1−e iθ =e iN θ/2 sin (N+ 1)θ/2 sin(θ/2)
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Oscillators Are All You Need: Irregular Time Series Modelling via Damped Harmonic Oscillators with Closed-Form Solutions
Damped harmonic oscillators with closed-form solutions model keys, values, and queries in continuous attention for irregular time series, preserving universal approximation while being orders of magnitude faster than prior NODE-based methods.