9 papers
Geometry and Generalization: Eigenvalues as predictors of where a network will fail to generalize
Susama Agarwala, Benjamin Dees, Andrew Gearhart +1
We study the deformation of the input space by a trained autoencoder via the Jacobians of the trained weight matrices. In doing so, we prove bounds for the mean squared errors for…
Isolated loops
Caroline Mosko
Many bureaucratic and industrial processes involve decision points where an object can be sent to a variety of different stations based on certain preconditions. Consider for examp…
Cancellation of spurious poles in N=4 SYM: physical and geometric
Susama Agarwala, Cameron Marcott
This paper shows that not only do the codimension one spurious poles of tree level diagrams in N=4 SYM theory cancel in the tree level amplitude as expected, but their va…
Combinatorics of the geometry of Wilson loop diagrams II: Grassmann necklaces, dimensions, and denominators
Susama Agarwala, Siân Fryer, Karen Yeats
Wilson loop diagrams are an important tool in studying scattering amplitudes of SYM theory and are known by previous work to be associated to positroids. In this paper we stu…
Combinatorics of the geometry of Wilson loop diagrams I: equivalence classes via matroids and polytopes
Susama Agarwala, Siân Fryer, Karen Yeats
Wilson loop diagrams are an important tool in studying scattering amplitudes of SYM theory and are known by previous work to be associated to positroids. We characterize the…
Wilson loops in SYM do not parametrize an orientable space
Susama Agarwala, Cameron Marcott
In this paper we explore the geometric space parametrized by (tree level) Wilson loops in SYM . We show that, this space can be seen as a vector bundle over a totally non-nega…