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Andrew Mcgregor

7 accepted papers

2022

Estimation of Entropy in Constant Space with Improved Sample Complexity

NeurIPS 2022accept

Recent work of Acharya et al.~(NeurIPS 2019) showed how to estimate the entropy of a distribution $\mathcal D$ over an alphabet of size $k$ up to $\pm\epsilon$ additive error by streaming over $(k/\epsilon^3) \cdot \text{polylog}(1/\epsilon)$ i.i.d.\ samples and using only $O(1)$ words of memory. In…

Cited by 11SourcePDFScholar
2021

Cluster Trellis: Data Structures & Algorithms for Exact Inference in Hierarchical Clustering

AISTATS 2021poster

Hierarchical clustering is a fundamental task often used to discover meaningful structures in data. Due to the combinatorial number of possible hierarchical clusterings, approximate algorithms are typically used for inference. In contrast to existing methods, we present novel dynamic-programming alg…

2020

Efficient Intervention Design for Causal Discovery with Latents

ICML 2020poster

We consider recovering a causal graph in presence of latent variables, where we seek to minimize the cost of interventions used in the recovery process. We consider two intervention cost models: (1) a linear cost model where the cost of an intervention on a subset of variables has a linear form, and…

Cited by 38SourcePDFScholar
2019

Sample Complexity of Learning Mixture of Sparse Linear Regressions

NeurIPS 2019poster

In the problem of learning mixtures of linear regressions, the goal is to learn a col-lection of signal vectors from a sequence of (possibly noisy) linear measurements,where each measurement is evaluated on an unknown signal drawn uniformly fromthis collection. This setting is quite expressive and h…

Cited by 21SourcePDFScholar
2018

Compact Representation of Uncertainty in Clustering

NeurIPS 2018poster

For many classic structured prediction problems, probability distributions over the dependent variables can be efficiently computed using widely-known algorithms and data structures (such as forward-backward, and its corresponding trellis for exact probability distributions in Markov models). Howeve…

Cited by 12SourcePDFScholar
2016

Sketching, Embedding and Dimensionality Reduction in Information Theoretic Spaces

AISTATS 2016poster

In this paper we show how to embed information distances like the χ^2 and Jensen-Shannon divergences efficiently in low dimensional spaces while preserving all pairwise distances. We then prove a dimensionality reduction result for the Hellinger, Jensen–Shannon, and χ^2 divergences that preserves…

Cited by 23SourcePDFScholar
2015

Correlation Clustering in Data Streams

ICML 2015poster

In this paper, we address the problem of \emphcorrelation clustering in the dynamic data stream model. The stream consists of updates to the edge weights of a graph on n nodes and the goal is to find a node-partition such that the end-points of negative-weight edges are typically in different cluste…

Cited by 120SourcePDFScholar