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Two-sample hypothesis testing for inhomogeneous random graphs
The study of networks leads to a wide range of high-dimensional inference problems. In
many practical applications, one needs to draw inference from one or few large sparse …
many practical applications, one needs to draw inference from one or few large sparse …
[PDF][PDF] A unified approach to learning ising models: Beyond independence and bounded width
We revisit the well-studied problem of efficiently learning the underlying structure and
parameters of an Ising model from data. Current algorithmic approaches achieve essentially …
parameters of an Ising model from data. Current algorithmic approaches achieve essentially …
Private high-dimensional hypothesis testing
S Narayanan - Conference on Learning Theory, 2022 - proceedings.mlr.press
We provide improved differentially private algorithms for identity testing of high-dimensional
distributions. Specifically, for $ d $-dimensional Gaussian distributions with known …
distributions. Specifically, for $ d $-dimensional Gaussian distributions with known …
Learning and testing causal models with interventions
We consider testing and learning problems on causal Bayesian networks as defined by
Pearl (Pearl, 2009). Given a causal Bayesian network M on a graph with n discrete variables …
Pearl (Pearl, 2009). Given a causal Bayesian network M on a graph with n discrete variables …
Multi-item mechanisms without item-independence: Learnability via robustness
We study the sample complexity of learning revenue-optimal multi-item auctions. We obtain
the first set of positive results that go beyond the standard but unrealistic setting of item …
the first set of positive results that go beyond the standard but unrealistic setting of item …
Near-optimal learning of tree-structured distributions by Chow-Liu
We provide finite sample guarantees for the classical Chow-Liu algorithm (IEEE Trans.
Inform. Theory, 1968) to learn a tree-structured graphical model of a distribution. For a …
Inform. Theory, 1968) to learn a tree-structured graphical model of a distribution. For a …
Optimal testing of discrete distributions with high probability
We study the problem of testing discrete distributions with a focus on the high probability
regime. Specifically, given samples from one or more discrete distributions, a property P …
regime. Specifically, given samples from one or more discrete distributions, a property P …
Private identity testing for high-dimensional distributions
In this work we present novel differentially private identity (goodness-of-fit) testers for natural
and widely studied classes of multivariate product distributions: Gaussians in R^ d with …
and widely studied classes of multivariate product distributions: Gaussians in R^ d with …
Learning and testing latent-tree ising models efficiently
We provide time-and sample-efficient algorithms for learning and testing latent-tree Ising
models, ie Ising models that may only be observed at their leaf nodes. On the learning side …
models, ie Ising models that may only be observed at their leaf nodes. On the learning side …
Testing conditional independence of discrete distributions
We study the problem of testing* conditional independence* for discrete distributions.
Specifically, given samples from a discrete random variable (X, Y, Z) on domain [ℓ1]×[ℓ2]×[n] …
Specifically, given samples from a discrete random variable (X, Y, Z) on domain [ℓ1]×[ℓ2]×[n] …