Allen Schmaltz

Photo

Computer Scientist

Founder, Reexpress AI, Inc.

Bio

My work at Reexpress AI is focused on scaling Similarity-Distance-Magnitude (SDM) activation functions, SDM estimators, and SDM language models to build reliable, robust, and controllable AI systems.

This line of work is based on a novel decoupling of the sources of epistemic uncertainty for high-dimensional models via a new activation function that adds Similarity (i.e., correctly predicted depth-matches into training)-awareness and Distance-to-training-distribution-awareness to the existing output Magnitude (i.e., decision-boundary)-awareness of the softmax function. Conceptually this new function is:

\[\rm{SDM}(\mathbf{z})_i = \frac{ {\rm{Similarity}}^{\rm{Distance} \cdot \rm{Magnitude}_i} }{ \sum^C_{c=1} { {\rm{Similarity}}^{\rm{Distance} \cdot \rm{Magnitude}_c} } }\]

with a corresponding negative log likelihood loss that takes into account the change of base.

This enables constructing robust estimators of the predictive uncertainty over models with non-identifiable parameters, such as neural networks, and by extension, building sequence prediction models with robust output verification and interpretability-by-exemplar as intrinsic properties.