Computational Statistics in Data Science

13 Index

14 Abbreviations and Acronyms

15 End User License Agreement

1 Chapter 2 Table 1 Summary of selected statistical software. Table 2 Summary of selected user environments/workflows.

2 Chapter 3 Table 1 Connection between input and output matrices in the third layer of L...

3 Chapter 4 Table 1 Streaming data versus static data [9, 10]

4 Chapter 5 Table 1 Probabilities for each action figure

5 Chapter 8Table 1 Summary of ingredients of Algorithm 2 for the four adaptive MCMC me...Table 2 Summary of recommended algorithms for specific problems and their s...

6 Chapter 9Table 1 Summary of the notation.Table 2 Comparison of various AIS algorithms according to different feature...Table 3 Comparison of various AIS algorithms according to the computational...

7 Chapter 21Table 1 Summary of uncertainty visualization theory detailed in this chapte...

8 Chapter 29Table 2 Updated GPU/CPU results based on a more modern cascade of supercomp...

1 Chapter 1 Figure 1 A nontraditional and critically important application in computatio...

2 Chapter 3 Figure 1 An MLP with three layers. Figure 2 Convolution operation with stride size . Figure 3 Pooling operation with stride size . Figure 4 LeNet‐5 of LeCun et al . [8]. Figure 5 Architecture of an autoencoder. Figure 6 Architecture of variational autoencoder (VAE). Figure 7 Feedforward network. Figure 8 Architecture of recurrent neural network (RNN). Figure 9 Architecture of long short‐term memory network (LSTM).

3 Chapter 4 Figure 1 Taxonomy of concept drift in data stream.

4 Chapter 5 Figure 1 Histograms of simulated boxes and mean number of boxes for two Mont... Figure 2 Estimated risk at (a) and at (b) with pointwise Bonferroni corr... Figure 3 Estimated density of the marginal posterior for from an initial r... Figure 4 Estimated autocorrelations for nonlinchpin sampler (a) and linchpin...

5 Chapter 7Figure 1 Importance sampling with importance distribution of an exponential Figure 2 Failed simulation of a Student's distribution with mean when si...Figure 3 Recovery of a Normal distribution when simulating realizations ...Figure 4 Histogram of simulations of a distribution with the target dens...Figure 5 (a) Histogram of iterations of a slice sampler with a Normal ta...Figure 6 100 last moves of the above slice sampler.Figure 7 Independent Metropolis sequence with a proposal equal to the dens...Figure 8 Fit of a Metropolis sample of size to a target when using a trunc...Figure 9 Graph of a truncated Normal density and fit by the histogram of an ...

6 Chapter 9Figure 1 Graphical description of three possible dependencies between the ad...

7 Chapter 12Figure 1 Decision tree for headache data.Figure 2 RFIT analysis of the headache data: (a) Estimated ITE with SE error...Figure 3 Exploring important effect moderators in the headache data: (a) Var...Figure 4 Comparison of MSE averaged over 1000 interaction trees using method...

8 Chapter 13Figure 1 The metabolite–microbe interaction network. Only edges linking a me...Figure 2 Scatter plots of microbe and metabolite pairs.

9 Chapter 14Figure 1 An example of first‐, second‐, and third‐order tensors.Figure 2 Tensor fibers, unfolding and vectorization.Figure 3 An example of magnetic resonance imaging. The image is obtained fro...Figure 4 A third‐order tensor with a checkerbox structure.Figure 5 A schematic illustration of the low‐rank tensor clustering method....Figure 6 The tensor formulation of multidimensional advertising decisions.Figure 7 Illustration of the tensor‐based CNN compression from Kossaifi et a ...

10 Chapter 15Figure 1 A Bayesian tree.Figure 2 The Boston housing data was compiled from the 1970 US Census, where...Figure 3 The distribution of and the sparse Dirichlet prior [16]. The key ...

11 Chapter 16Figure 1 LASSO and nonconvex penalties: both SCAD and MCP do not penalize th...

12 Chapter 17Figure 1 Hierarchy‐preserving solution paths by RAMP. (a) Strong hierarchy; ...

13 Chapter 18Figure 1 Marginal prior of for different choices of .Figure 2 Estimated autocorrelations for for the three algorithms. Approxim...Figure 3 Trace plots (with true value indicated) and density estimates for o...Figure 4 (a) Plots for and (in dashed gray and dashed black, respectiv...Figure 5 Plot of as a function of , where varies between and 1.Figure 6 The posterior mean of in a normal means problem: the ‐axis and