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Approximate and User Steerable tSNE
for Progressive Visual Analytics
Nicola Pezzotti, Boudewijn P.F. Lelieveldt, Laurens van der Maaten,
Thomas Höllt, Elmar Eisemann, Anna Vilanova
2
Non-Linear Dimensionality-Reduction
3
Non-linear dimensionality-reduction
algorithm
• Preserves small neighborhoods
• Reveals global structures
Visualizing data using t-SNE - Van der Maaten & Hinton - 2008
t-Distributed Stochastic Neighbor Embedding
4
tSNE
Similarities
Computation
Similarities
Computation
Gradient descent
minimization
Similarities
tSNE as a Black Box
5
PVA - tSNE
Similarities
Computation
Similarities
Computation
Gradient descent
minimization
Similarities
Progressive Visual Analytics: User-Driven Visual Exploration of In-Progress Analytics - Stolper et al. - 2014
Opening the Black Box: Strategies for Increased User Involvement in Existing Algorithm Implementations - Muhlbacher et al. - 2014
Progressive Analytics: A Computation Paradigm for Exploratory Data Analysis - Fekete & Primet - 2016
Visualization
Compute partial results
tSNE
Progressive Visual Analytics (PVA)
Approximated Computations in PVA
7
Approximated - tSNE
Similarities
Computation
Similarities
Visualization
Compute partial results
Approximated
Similarities
PVA - tSNE
Approximated tSNE
8
Approximated
K-Nearest-Neighborhood [1]
Precision: 50%
[1] Fast Approximate Nearest Neighbors with Automatic Algorithm Configuration - Muja et al. - 2009
K-Nearest-Neighborhood
Approximated similarities computation
9
Approximated - tSNE
Similarities
Computation
Similarities
Visualization
Compute partial results
Approximated
Similarities
Approx.
Refinement
Exact
Refinement
Approximated tSNE
10
tSNE
Time: 3191.8 s
A-tSNE Precision: 35%
Time: 30.1 s
Speed up: 100x
Precision 35% ?
11
Approximated similarities computation
12
• Density-based visualization
• Supports brushing & linking
• Approximation is visualized and
removed if requested
• 3 Strategies
• Local minima avoidance
Steerability & Approximation visualization
A-tSNE Precision: 5%
Preprocessing: 12 s
Case Study I : Gene Expression in the Mouse Brain
14
Case Study I : Gene expression
Sagittal
Axial 3D Volume
Coronal
61164 data points (Voxels) 4345 dimensions (Gene expression)
15
Case Study I : Gene expression
A-tSNE 50 seconds – tSNE 3 hours and 50 minutes
Speed up: 250x
Case Study II : High-dimensional data streams
17
Case Study II : High-dimensional data streams
Chest - Ankle - Wrist
52 Dimensions every 100 ms
Image courtesy of www.activ8all.com
18[1] Hierarchical Stochastic Neighbor Embedding - Pezzotti et al. - 2016
Conclusions
• Approximation in Progressive
Visual Analytics
• Approximated-tSNE
• Data manipulation
• Refinement
• Scalability issues of the gradient
descent
• Hierarchical SNE [1]
19
Thank you for your attention!
A-tSNE
Precision: 35%
tSNE A-tSNE
Precision: 5%
Similarities
computation time: 12 sSimilarities
computation time: 29 s
Precomp. 3195 s
Speed 4x
29 s 12 s
20
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User Steerable A-tSNE for Progressive Visual Analytics