In the new monitoring experience (though this requirement also exists in the old one): when I'm looking at the details of a run, I can easily click through to any child run. I can also easily verify what parameters (input) were passed along to it. This is good - see below.
What I'm missing, however, is an obvious way to see both the parameters (input) to the "current" run. This could be done in a similar fashion as in the "Monitor Job Detail" screen, with a link (screenshot below shows the right hand pane), or even better by displaying the parameters and their values immediately (similarly: when looking at a notebook snapshot, the input parameters are shown at the bottom by default - these would also be very valuable in the UI for the "current run").
In addition, in many cases, I also want to be able to find the pipeline run that called this "current" run, so a link to that would also be a valuable addition that would particularly make debugging a lot simpler.
