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Discrete jumps between the minima can be observed by visualizing the transformation of the first trajectory into these ICs (Fig.~\ref{fig:io-to-tica}d).
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We thus assume that our TICA-transformed backbone torsion features describe one or more metastable processes.
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We demonstrate how to apply TICA, suggest how to interpret the projected coordinates and compare the results to other dimension reduction techniques in Notebook (02).
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We demonstrate how to apply TICA, suggest how to interpret the projected coordinates, and compare the results to other dimension reduction techniques in Notebook (02).
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\begin{figure}
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\includegraphics{figure_3}
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We see that the predicted relaxation signal has a much larger amplitude for the nonequilibrium initialization,
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making it more likely to be experimentally measurable.
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Besides a detailed demonstration of the above, Notebook (06) demonstrates how to compute J-couplings and dynamic fingerprints from MSMs.
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In addition to a detailed demonstration of the above, Notebook (06) demonstrates how to compute J-couplings and dynamic fingerprints from MSMs.
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\subsection{Summary}
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we explain how to deal with those in the tutorials (Notebook 00 and 02).
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More details on how to model complex systems with the techniques presented here are described, e.g., by~\cite{plattner_protein_2015,plattner_complete_2017}.
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We further demonstrate the symptoms of difficult data situations and how to deal with them in Notebook (08).
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We further examine some symptoms that may indicate problematic or difficult datasets, and demonstrate how to deal with them in Notebook (08).
Copy file name to clipboardExpand all lines: notebooks/02-dimension-reduction-and-discretization.ipynb
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Following the previous example, we perform a $k$-means ($100$ centers, stride of $5$) and a regspace clustering ($0.3$ radians center distance) on the full two-dimensional data set and visualize the obtained centers. In [Notebook 03 ➜ 📓](03-msm-estimation-and-validation.ipynb), we show the effect of different numbers of cluster centers."
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"Following the previous example, we perform a $k$-means ($100$ centers, stride of $5$) and a regspace clustering ($0.3$ radians center distance) on the full two-dimensional data set and visualize the obtained centers. In [Notebook 03 ➜ 📓](03-msm-estimation-and-validation.ipynb), we show the effect of different numbers of cluster centers on MSM estimation."
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"Please note though that this ITS convergence analysis is based on the assumption that $200$ $k$-means centers are sufficient to discretize the dynamics.\n",
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"In order to study the influence of the clustering on the ITS convergence,\n",
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"we repeat the clustering and ITS convergence analysis for various number of cluster centers.\n",
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"For the sake of simplicity, we will restrict ourselves to the $k$-means algorithm; different techniques are presented in [Notebook 02 ➜ 📓](02-dimension-reduction-and-discretization.ipynb)."
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"For the sake of simplicity, we will restrict ourselves to the $k$-means algorithm; alternative clustering methods are presented in [Notebook 02 ➜ 📓](02-dimension-reduction-and-discretization.ipynb)."
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"the TICA lag time was deliberately chosen way too high.\n",
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"That's easy to fix.\n",
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"\n",
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"Let's now have a look at how the metastable trajectories should look like for a decent model such as the one estimated in [Notebook 05 ➜ 📓](05-pcca-tpt.ipynb).\n",
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"Let's now have a look at how the metastable trajectories should look for a decent model such as the one estimated in [Notebook 05 ➜ 📓](05-pcca-tpt.ipynb).\n",
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"We will take the same input data,\n",
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"do a TICA transform with a realistic lag time of $10$ ps,\n",
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"and coarse grain into $2$ metastable states in order to compare with the example above."
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