1 citations · 1 across the 5 of their papers we have counts for
8 papers
Intrinsic Associative Memory on Riemannian Manifolds: Curvature, Capacity, and Emergent Modes
Krishnakumar Balasubramanian, Zhaoyang Shi
Geometry does more than constrain an associative memory: curvature determines what it remembers and which states it creates. We develop intrinsic dense associative memories on Riem…
Dense Associative Memory with Epanechnikov Energy
Benjamin Hoover, Zhaoyang Shi, Krishnakumar Balasubramanian +2
We propose a novel energy function for Dense Associative Memory (DenseAM) networks, the log-sum-ReLU (LSR), inspired by optimal kernel density estimation. Unlike the common log-sum…
Gaussian and Bootstrap Approximation for Matching-based Average Treatment Effect Estimators
Zhaoyang Shi, Chinmoy Bhattacharjee, Krishnakumar Balasubramanian +1
We establish Gaussian approximation bounds for covariate and rank-matching-based Average Treatment Effect (ATE) estimators. By analyzing these estimators through the lens of stabil…
Statistical-Computational Trade-offs for Recursive Adaptive Partitioning Estimators
Yan Shuo Tan, Jason M. Klusowski, Krishnakumar Balasubramanian
Models based on recursive adaptive partitioning such as decision trees and their ensembles are popular for high-dimensional regression as they can potentially avoid the curse of di…
Multivariate Gaussian Approximation for Random Forest via Region-based Stabilization
Zhaoyang Shi, Chinmoy Bhattacharjee, Krishnakumar Balasubramanian +1
We derive Gaussian approximation bounds for -Potential Nearest Neighbor (-PNN) based random forest predictions based on a set of training points given by a Poisson process un…
Nonsmooth Nonparametric Regression via Fractional Laplacian Eigenmaps
Zhaoyang Shi, Krishnakumar Balasubramanian, Wolfgang Polonik
We develop nonparametric regression methods for the case when the true regression function is not necessarily smooth. More specifically, our approach is using the fractional Laplac…
Adaptive and non-adaptive minimax rates for weighted Laplacian-eigenmap based nonparametric regression
Zhaoyang Shi, Krishnakumar Balasubramanian, Wolfgang Polonik
We show both adaptive and non-adaptive minimax rates of convergence for a family of weighted Laplacian-Eigenmap based nonparametric regression methods, when the true regression fun…
A Flexible Approach for Normal Approximation of Geometric and Topological Statistics
Zhaoyang Shi, Krishnakumar Balasubramanian, Wolfgang Polonik
We derive normal approximation results for a class of stabilizing functionals of binomial or Poisson point process, that are not necessarily expressible as sums of certain score fu…