The Genome Research cover design takes a fun and illustrative approach to visualization. It's both art and science — in a 4:1 ratio.
Nielsen CB, Younesy H, O'Geen H, Xu X, Jackson AR, et al. (2012) Spark: A navigational paradigm for genomic data exploration. Genome Res 22: 2262-2269.
Instead of a literal depiction of output from Spark, the final design presents what appears to be necklaces of the kind of tiles that Spark uses for its visual presentation. I took a chance that Genome Research had a sense of humor. Luckily, they did and accepted the design for the cover.
Colored tiles are playfully suspended on vertical strings to illustrate how Spark, presented in this issue, uses clustering to group genomic regions (tiles) with similar data patterns (colored heatmaps) and facilitates genome-wide data exploration. — Genome Research 22 (11)
The image was published on the November 2012 issue of cover of Genome Research.
Thinking about design ideas for the cover, I looked to the kind of visual motifs that Spark used for inspiration. Immediately the colorful tiles, which represent clustered data tracks, stood out.
Spark's output is very stylized, colorful and high contrast. It was important to preserve this aesthetic in the design. I also wanted to incorporate the idea of clustering in the design, as well as the concept that the clusters represented data from different parts of the genome.
While it was not important to illustrate how Spark organizes and analyzed data explicitly — in fact, I wanted these aspects to be subtle — it was important that the cover illustration had connections to Spark at several levels.
Spark was created by Cydney Nielsen, who works with me at the Genome Sciences Center. It is designed to mitigate the difficulties arising from the fact that genome-wide data is typically scattered across thousands of points of interest.
Genome browsers integrate diverse data sets by plotting them as vertically stacked tracks across a common genomic x-axis. Genome browsers are designed for viewing local regions of interest (e.g. an individual gene) and are frequently used during the initial data inspection and exploration phases.
Most genome browsers support zooming along the genome coordinate. This type of overview is not always useful because it produces a summary across a continuous genomic range (e.g. chromosome 1) and not across the subset of regions that are of interest (e.g. genes on chromosome 1). Spark addresses this shortcoming and provides a way to help answer questions like: What are the common data patterns across genes start sites in my data set?
Spark's visualization is driven by clustering data tracks (e.g. ChIP-seq coverage) from across equivalent regions (e.g. gene start sites). The clustered tracks are displayed as heatmaps, with each row being a data track and each column a windowed region of the genome.
With fond memories of Monte Carlo simulations from my physics days, I set out to simulate some realistic-looking, but entirely synthetic, Spark cluster tiles.
My first idea was a design which would show these tiles falling, perhaps accumulating on a pile on the ground. Quick prototypes of this idea were disappointing. The tiles appeared flimsy and too complex, while the image was largely empty. I spent several hours messing around with the rotation and pseudo-3D layout, but could not find anything that was satisfying.
I thought to do this right would require a proper simulation within a 3D system.
To address the fact that the tiles felt flimsy and overly complicated and the design lacked depth, I simplified the tile simulation to generate 5x5 tiles. These simpler representations still embodied how Spark displayed data, but did so minimally.
To keep with the idea that the clusters come from different regions of the genome, I thought of arranging them along line segments. Unlike the design in which the tiles were falling, this constrained the layout significantly and allowed me to play with the design to make it look like the clusters were draped over it. By casting a light shadow behind each string of tiles, a subtle 3D effect could be achieved while still keeping the design within a plane.
There are 11 orientations of tiles created by rotating a thin square around the vertical axis with a slight forward tilt. There are 5 rotations to the left and right at angles 10, 26, 46, 66 and 80 degrees. The rotation was achieved using Illustrator's Extrude and Bevel 3D filter.
The layout and rotation of the tiles was inspired by Flight and Fall by Rachel Nottingham, a mobile of paper birds.
I wanted to keep the layout of the spark tiles pleasant, without being too organized. I find this to be a difficult balance to achieve — natural randomness is deceptively difficult to create by hand.
Four different versions of the design were submitted to Genome Research. I was happiest with the treatment in which the tiles maintained their color and the Spark clusters were projected as tones of white. This designed felt more solid and punchy — I feel like you can reach out and touch one of those strings.
Decision trees classify data by splitting it along the predictor axes into partitions with homogeneous values of the dependent variable. Unlike logistic or linear regression, CART does not develop a prediction equation. Instead, data are predicted by a series of binary decisions based on the boundaries of the splits. Decision trees are very effective and the resulting rules are readily interpreted.
Trees can be built using different metrics that measure how well the splits divide up the data classes: Gini index, entropy or misclassification error.
When the predictor variable is quantitative and not categorical, regression trees are used. Here, the data are still split but now the predictor variable is estimated by the average within the split boundaries. Tree growth can be controlled using the complexity parameter, a measure of the relative improvement of each new split.
Individual trees can be very sensitive to minor changes in the data and even better prediction can be achieved by exploiting this variability. Using ensemble methods, we can grow multiple trees from the same data.
Krzywinski, M. & Altman, N. (2017) Points of Significance: Classification and regression trees. Nature Methods 14:757–758.
Lever, J., Krzywinski, M. & Altman, N. (2016) Points of Significance: Logistic regression. Nature Methods 13:541-542.
Altman, N. & Krzywinski, M. (2015) Points of Significance: Multiple Linear Regression Nature Methods 12:1103-1104.
Lever, J., Krzywinski, M. & Altman, N. (2016) Points of Significance: Classifier evaluation. Nature Methods 13:603-604.
Lever, J., Krzywinski, M. & Altman, N. (2016) Points of Significance: Model Selection and Overfitting. Nature Methods 13:703-704.
Lever, J., Krzywinski, M. & Altman, N. (2016) Points of Significance: Regularization. Nature Methods 13:803-804.
The artwork was created in collaboration with my colleagues at the Genome Sciences Center to celebrate the 5 year anniversary of the Personalized Oncogenomics Program (POG).
The Personal Oncogenomics Program (POG) is a collaborative research study including many BC Cancer Agency oncologists, pathologists and other clinicians along with Canada's Michael Smith Genome Sciences Centre with support from BC Cancer Foundation.
The aim of the program is to sequence, analyze and compare the genome of each patient's cancer—the entire DNA and RNA inside tumor cells— in order to understand what is enabling it to identify less toxic and more effective treatment options.
Principal component analysis (PCA) simplifies the complexity in high-dimensional data by reducing its number of dimensions.
To retain trend and patterns in the reduced representation, PCA finds linear combinations of canonical dimensions that maximize the variance of the projection of the data.
PCA is helpful in visualizing high-dimensional data and scatter plots based on 2-dimensional PCA can reveal clusters.
Altman, N. & Krzywinski, M. (2017) Points of Significance: Principal component analysis. Nature Methods 14:641–642.
Altman, N. & Krzywinski, M. (2017) Points of Significance: Clustering. Nature Methods 14:545–546.
To achieve a `k` index for a movement you must perform `k` unbroken reps at `k`% 1RM.
The expected value for the `k` index is probably somewhere in the range of `k = 26` to `k=35`, with higher values progressively more difficult to achieve.
In my `k` index introduction article I provide detailed explanation, rep scheme table and WOD example.
The effect is intriguing and facetious—yes, those are real words.
But these are not: necronology, abobionalism, gabdologist, and nonerify.
These places only exist in the mind: Conchar and Pobacia, Hzuuland, New Kain, Rabibus and Megee Islands, Sentip and Sitina, Sinistan and Urzenia.
And these are the imaginary afflictions of the imagination: ictophobia, myconomascophobia, and talmatomania.
And these, of the body: ophalosis, icabulosis, mediatopathy and bellotalgia.
Want to name your baby? Or someone else's baby? Try Ginavietta Xilly Anganelel or Ferandulde Hommanloco Kictortick.
When taking new therapeutics, never mix salivac and labromine. And don't forget that abadarone is best taken on an empty stomach.
And nothing increases the chance of getting that grant funded than proposing the study of a new –ome! We really need someone to looking into the femome and manome.