To Do
- Add to flatten definition
- Any edge that can be traversed in the interval can be included. That is, first include all edges that exist for the entirety of the interval, then add those edges that can be reached from any of those edges.
- What about cost functions? What about the weight of the edge as well as how long it takes to traverse the edge?
- Temporal metric definitions
- For , consider also the measure here with varying intervals around the timepoint . So, .
- One thing to think about: sampling an image every and might be deceiving if all the dark pixels fall in that sampling pattern. So instead, you’d blur the image with a Gaussian and then sample, so that the picture looked more “gray.” This harkens to the image pyramids from computer vision, where the image was downsampled to get various different views and resolutions out of it, and could be upsampled to produce a fuzzy replication image. Can we do something like this for our graph over time points? Specifically, if we look in varying-size neighborhoods of when computing a metric at that point in time–utilizing one of our flattening methods–can we get different but interesting pictures of the dynamics of the graph?
- Formally define in terms of and our definitions of flattening. What does that look like? Do we apply multiple different flattening schemes? (Worthy was focused on applying them in order, as varying levels of edge inclusion.)
- Could one option be: the transitive closure of all paths that could legitimately be taken over the rest of the graph’s lifetime? Write that up as an option
- With these new definitions and notions, start with connectedness measures over these graphs.
- Some different ideas:
- From our TIVG , perform the operator to get new graph . Compare the output of metrics on both of those graphs, and as changes.
- Also do the same with TIVG after applying identity function $f_i$.
- Next, try applying the identity function $f_i$ directly to the original and transformed graphs, and . How do their identity-function variants compare? Are they similar to the ones where the order of operations is reversed?
- How does applying then transform compare with applying transform and then ?
- Start moving the copy into the proposal document for continuity
- Pushing these variations on time back into the measure definitions should help bring dynamics into the measure definitions
- Characterizing the dynamics of the measures so they are not so flat (as they originally were)
- Unrelated to dos
- Emailed Give Shayne access to my git repo for Nauvoo. Also make sure he knows about creating the empty writable
submissions.txt
- Emailed Speak with Barbara Graves or Pam Norris
- Part time vs On Leave
- What is the cost of tuition and fees for part time?
- What are the special conditions for leave status? Is a full-time job enough? What about conditions for part-time status?
- What are the drawbacks of on leave if I’m a staffer at the university?
- Does leave count against the 7-year graduation window? What about part-time? (Worthy wants to double check)
- If I want to do leave, I’d need to email Worthy and CC Norris and Graves and ask for it
- Talk with student health and UVA HR
- Is there an extension to the graduate health insurance that would cover me until the job starts? In case it’s not until Sept 1?
- DONE Go ahead and email Jeff Holt again
- Course to sit-in in the fall is now a maybe (after earlier saying it would be fine)