alabnii/sciclaimeval-shared-task huggingface dataset:
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& \multicolumn{ 3}{c}{NASCAR} & \multicolumn{ 3}{c}{Lorenz} \\
\cmidrule(lr){2-4} \cmidrule(lr){5-7}
Model & \thead{Dynamics MSE ($\downarrow$) \\ ($\times 10^{-3}$ )} & \thead{Switch MSE ($\downarrow$) \\ ($\times 10^{-3}$ )} & \thead{100-step \\ $R^2$ ($\uparrow$)} & \thead{Dynamics \\ MSE ($\downarrow$)} & \thead{Switch \\ MSE ($\downarrow$)} & \thead{100-step \\ $R^2$ ($\uparrow$)}
\\
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SLDS & 0.0995 & 12.89 & 0.184 & 0.431 & 0.0204 & -3.47 \\
rSLDS & 0.1065 & 13.17 & {\bf 0.238} & 0.304 & 0.0208 & -11.54 \\
dLDS & 123.19 & 13.28 & \xmark & 1.123 & 0.1529 & \xmark \\
p-dLDS (ours) & {\bf 0.033} & {\bf 7.34 } & {0.218} & {\bf 0.141} & {\bf 0.0137} & {\bf 0.418} \\
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\caption{Table 1: Metrics for synthetic dynamical systems. Bold means best performance. $(\uparrow)$ indicates higher score is better while $(\downarrow)$ indicates that lower is better. \xmark $ $ indicates that value diverged towards $-\infty$. Switch events for decomposed models are defined as times where the active set of DOs change from the previous time step.}
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