8 citations · 24 across the 21 of their papers we have counts for
22 papers
Rado matroids and a graphical calculus for boundaries of Wilson loop diagrams
Susama Agarwala, Colleen Delaney, Karen Yeats
We study the boundaries of the positroid cells which arise from N = 4 super Yang Mills theory. Our main tool is a new diagrammatic object which generalizes the Wilson loop diagrams…
Structural Similarity for Improved Transfer in Reinforcement Learning
C. Chace Ashcraft, Benjamin Stoler, Chigozie Ewulum +1
Transfer learning is an increasingly common approach for developing performant RL agents. However, it is not well understood how to define the relationship between the source and t…
Computing positroid cells in the Grassmannian of lines, their boundaries and their intersections
Susama Agarwala, Fatemeh Mohammadi, Francesca Zaffalon
Positroids are families of matroids introduced by Postnikov in the study of non-negative Grassmannians. In particular, positroids enumerate a CW decomposition of the totally non-ne…
Geometric instability of out of distribution data across autoencoder architecture
Susama Agarwala, Ben Dees, Corey Lowman
We study the map learned by a family of autoencoders trained on MNIST, and evaluated on ten different data sets created by the random selection of pixel values according to ten dif…
Eigenvalues of Autoencoders in Training and at Initialization
Benjamin Dees, Susama Agarwala, Corey Lowman
In this paper, we investigate the evolution of autoencoders near their initialization. In particular, we study the distribution of the eigenvalues of the Jacobian matrices of autoe…
A Geometric Chung Lu model and the Drosophila Medulla connectome
Susama Agarwala, Franklin Kenter
Many real world graphs have edges correlated to the distance between them, but, in an inhomogeneous manner. While the Chung-Lu model and the geometric random graph models both are…
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…
An algorithm to construct the Le diagram associated to a Grassmann necklace
Susama Agarwala, Sian Fryer
Le diagrams and Grassmann necklaces both index the collection of positroids in the nonnegative Grassmannian , but they excel at very different tasks: for example,…
A study in : from the geometric case book of Wilson loop diagrams and SYM
Susama Agarwala, Sian Fryer
We study the geometry underlying the Wilson loop diagram approach to calculating scattering amplitudes in the gauge theory of Supersymmetric Yang Mills (SYM) . By applying the…
Rational Mixed Tate Motivic Graphs
Susama Agarwala, Owen Patashnick
In this paper, we study the combinatorics of a subcomplex of the Bloch-Kriz cycle complex [4] used to construct the category of mixed Tate motives. The algebraic cycles we consider…
Wilson Loop diagrams and Positroids
Susama Agarwala, Eloi Marin Amat
In this paper, we study a new application of the positive Grassmanian to Wilson loop diagrams (or MHV diagrams) for scattering amplitudes in N=4 Super Yang-Mill theory ( SYM).…
Generalizing the Connes Moscovici Hopf algebra to contain all rooted trees
Susama Agarwala, Colleen Delaney
This paper defines a generalization of the Connes-Moscovici Hopf algebra, that contains the entire Hopf algebra of rooted trees. A relationship between the former,…
Dynkin operators, renormalization and the geometric function
Susama Agarwala
In this paper, I show a close connection between renormalization and a generalization of the Dynkin operator in terms of logarithmic derivations. The geometric function, which…
Dihedral symmetries of multiple logarithms
Susama Agarwala
This paper finds relationships between multiple logarithms with a dihedral group action on the arguments. I generalize the combinatorics developed in Gangl, Goncharov and Levin's R…
Geometrically relating momentum cut-off and dimensional regularization
Susama Agarwala
The function for a scalar field theory describes the dependence of the coupling constant on the renormalization mass scale. This dependence is affected by the choice of regular…
The geometric -function in curved space-time under operator regularization
Susama Agarwala
In this paper, I compare the generators of the renormalization group flow, or the geometric -functions for dimensional regularization and operator regularization. I then extend…
A Perspective on Regularization and Curvature
Susama Agarwala
A global connection on the Connes Marcolli renormalization bundle relates -functions of a class of regularization schemes by gauge transformations, as well as local solutions to…