Research map / Learning theory and algorithms / Sample complexity
Nonbacktracking Bounds on the Influence in Independent Cascade Models
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use nonbacktracking walks in the upper-bound computation | Influence estimation on Erdos-Renyi and random 3-regular networks · Erdos-Renyi and random 3-regular networks | upper-bound relative gap | Helped |
| Use nonbacktracking walks in the upper-bound computation | Influence estimation on scale-free networks · Scale-free networks | upper-bound relative gap | No clear effect |
| Use the NB-LB procedure instead of a probabilistic MC lower bound | Influence estimation · Erdos-Renyi, scale-free, and random regular networks when p<0.4 | lower-bound tightness | Helped |
| Avoid backtracking walks in both bounds | Influence estimation on tree networks · Random tree networks | influence-bound tightness | Helped |
| Use NB-UB instead of the spectral upper bound | Influence estimation · 3-regular network at relatively small transmission probabilities | upper-bound tightness | Helped |
| Use NB-UB instead of the probabilistic MC upper bound | Influence estimation · 3-regular network at relatively small transmission probabilities | upper-bound tightness | Helped |
| Use NB-LB instead of probabilistic MC lower bounds with small sample sizes | Influence estimation · Scale-free network | lower-bound tightness | Helped |
| Increase t to compute more exact paths before applying NB-UB (ablation) | tNB-UB · 3-regular network, p in (0.4,0.5) | upper-bound tightness | Helped |
| Increase t to compute exact infection probabilities on a larger initial subnetwork (ablation) | tNB-LB · Scale-free network | lower-bound tightness | Helped |
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