5 papers
Sparsity-driven emergence of functional modularity in multitask neural networks
Bowen Shi, Qi Ouyang, Long Qian
Neural networks can learn multiple tasks, but how learning organizes shared computation into specialized and reusable components remains poorly understood. In this work, we show th…
An Algebraic Theory of Gapped Domain Wall Partons
Matthew Buican, Roman Geiko, Milo Moses +1
The entanglement bootstrap program has generated new quantum numbers associated with degrees of freedom living on gapped domain walls between topological phases in two dimensions.…
Topological Mixed States: Phases of Matter from Axiomatic Approaches
Tai-Hsuan Yang, Bowen Shi, Jong Yeon Lee
For closed quantum systems, topological orders are understood through the equivalence classes of ground states of gapped local Hamiltonians. The generalization of this conceptual p…
Evolutionary origin of the bipartite architecture of dissipative cellular networks
Bowen Shi, Long Qian, Qi Ouyang
Recently, plenty research has been done on discovering the role of energy dissipation in biological networks, most of which focus on the relationship of dissipation and functionali…
Finite elements for symmetric and traceless tensors in three dimensions
Kaibo Hu, Ting Lin, Bowen Shi
We construct a family of finite element sub-complexes of the conformal complex on tetrahedral meshes and show their exactness on contractible domains. This complex includes vector…