Inference for Multiple Heterogeneous Networks with a Common Invariant Subspace
Abstract: The development of models for multiple heterogeneous network data is of critical importance both in statistical network theory and across multiple application domains. Although single-graph inference is well-studied, multiple graph inference is largely unexplored, in part because of the challenges inherent in appropriately modeling graph differences and yet retaining sufficient model simplicity to render estimation feasible. The common subspace independent-edge (COSIE) multiple random graph model addresses this gap, by describing a heterogeneous collection of networks with a shared latent structure on the vertices but potentially different connectivity patterns for each graph. The COSIE model is both flexible to account for important graph differences, and tractable to allow for accurate spectral inference. In particular, a joint spectral embedding leads to a simultaneous consistent estimation of the common invariant subspace, and asymptotically normal estimates of the individual graph parameters. Performance is demonstrated on a dataset of connectomes, showing an accurate classification and a meaningful determination of heterogeneity across different subjects.
Join Zoom Meeting
https://virginia.zoom.us/j/93286658008?pwd=cHp5R2FBY1hkTWtZYXQ3VXlFWTVXdz09
Meeting ID: 932 8665 8008
Passcode: 539975
One tap mobile
+17866351003,,93286658008# US (Miami)
+12678310333,,93286658008# US (Philadelphia)
Dial by your location
+1 786 635 1003 US (Miami)
+1 267 831 0333 US (Philadelphia)
+1 301 715 8592 US (Germantown)
+1 312 626 6799 US (Chicago)
+1 470 250 9358 US (Atlanta)
+1 470 381 2552 US (Atlanta)
+1 646 518 9805 US (New York)
+1 646 558 8656 US (New York)
+1 651 372 8299 US (St. Paul)
+1 213 338 8477 US (Los Angeles)
+1 253 215 8782 US (Tacoma)
+1 346 248 7799 US (Houston)
+1 602 753 0140 US (Phoenix)
+1 669 219 2599 US (San Jose)
+1 669 900 6833 US (San Jose)
+1 720 928 9299 US (Denver)
+1 971 247 1195 US (Portland)
Meeting ID: 932 8665 8008
Find your local number: https://virginia.zoom.us/u/aeinpj2F7S
Join by SIP
Join by H.323
162.255.37.11 (US West)
162.255.36.11 (US East)
221.122.88.195 (China)
115.114.131.7 (India Mumbai)
115.114.115.7 (India Hyderabad)
213.19.144.110 (Amsterdam Netherlands)
213.244.140.110 (Germany)
103.122.166.55 (Australia)
209.9.211.110 (Hong Kong SAR)
64.211.144.160 (Brazil)
69.174.57.160 (Canada)
207.226.132.110 (Japan)
Meeting ID: 932 8665 8008
Passcode: 539975
Join by Skype for Business