Point processes are widely used statistical tools for modeling event occurrence patterns within continuous spatio-temporal domains.

Socialbiasinmachine learning hasdrawnsignificant attention, withworkranging from demonstrations of bias in a multitude of applications, curating definitions of fairness for different contexts, to developing algorithms to mitigate bias. In natural language processing, gender bias has been shown to exist in context-free word embeddings. Recently, contextual word representations have outperformed word embeddings in several downstream NLP tasks.

The code is available here.

The appendices of this supplemental material are focused on providing detailed proofs (Appendix A), per-layer derivations for activation errors (Appendix B), algorithm and implementationdetails(AppendixC),datasetsandhyperparameters(AppendixD),extended experimental data (Appendix E) and additional experiments (Appendix F) to accompany the main paper. A code example and trained models are available for CIFAR10/ResNet50 by accessing https://github.com/rdevans0/acgc. L and η depend on the model being trained and dataset, and are thus problem-dependent constants. Preliminary on Separation of Norms Given two, independent random vectorsA= (an) RN and B =(bn) RN, whereE[bn]=0 n. Given f which obeys (4), and a convex functionD( X) which bounds the gradient error from above for all X, θ, and X; provided that D( X) e2V2 the variance of the compressed gradients satisfies E[kˆ θf(θ,Xnt)k2] (1+e2)V2 (16) Proof.

Our experimental evaluations demonstrate that this simple modification significantly improves the quality of localization maps on both the P ASCAL VOC 2012 and MS COCO 2014 datasets, exhibiting a new state-of-the-art performance for weakly supervised semantic segmentation.