3 citations · 5 across the 21 of their papers we have counts for
24 papers
A Proof of the Most Informative Boolean Function Conjecture
Zijie Chen, Amin Gohari, Adel Javanmard +4
Let be uniform on , let be obtained by passing its coordinates independently through a binary symmetric channel with crossover probability , and let $g:\{-1,…
Nearly Optimal Strong Coresets for Subspace Approximation
Honghao Lin, Vahab Mirrokni, David P. Woodruff
We study strong coresets for subspace approximation. Given a matrix , the goal is to sample and rescale a small number of its rows to obtain $S…
A Near-Optimal Lower Bound for Prefix-Matrix Factorizations
Honghao Lin, Vahab Mirrokni, David P. Woodruff
For the lower-triangular all-ones matrix , we prove a near-optimal lower bound \[ γ_{2,1}(Q) := \inf_{Q=AB} \|A\|_{2\to\infty}\|B\|_{1\to1} = Ω\!\left( \frac{\log^{3…
Pairwise-Independent Dithering for Single-Stage Hadamard Quantization
Honghao Lin, Vahab Mirrokni, David P. Woodruff
Quantizing high-dimensional vectors is fundamental to similarity search, distributed learning, and model compression. Feng, Indyk, Kapralov, Krachun, and Prokhorov established shar…
The Condition-Number Barrier in Sparse Least Squares
Honghao Lin, Vahab Mirrokni, David P. Woodruff
In [AS21], Axiotis and Sviridenko conjectured that the linear dependence on the restricted condition number in sparse convex optimization cannot be improved by a polynomial-time al…
Near-Optimal Dimension Lower Bounds for Single-Vector Embeddings of Maximum Inner Product Similarity
Rajesh Jayaram, Honghao Lin, Vahab Mirrokni +1
Multi-vector embeddings represent items by point clouds and compare query and document point clouds using Chamfer similarity, whereas single-vector embeddings use ordinary inner pr…
Adversarial Robustness for Small Frequency Moments and a Weak Equivalence Theorem for Turnstile Streams
Elena Gribelyuk, Honghao Lin, David P. Woodruff +2
We study adversarially robust algorithms for insertion-deletion (turnstile) streams, where future updates may depend on past algorithm outputs. While recent work achieved a robust…
Adversarial Robustness on Insertion-Deletion Streams
Elena Gribelyuk, Honghao Lin, David P. Woodruff +2
We study adversarially robust algorithms for insertion-deletion (turnstile) streams, where future updates may depend on past algorithm outputs. While robust algorithms exist for in…
Sampling in Distributed Data Streams with Applications to Adversarial Robustness
Honghao Lin, Zhao Song, David P. Woodruff +2
In the distributed monitoring model, a data stream over a universe of size is distributed over servers, who must continuously provide certain statistics of the overall data…
Unbiased Insights: Optimal Streaming Algorithms for Sampling, the Forget Model, and Beyond
Honghao Lin, Hoai-An Nguyen, William Swartworth +1
We study sampling and frequency moment estimation in a single-pass insertion-only data stream. For , we present a nearly space-optimal approximate sa…
On Sketching Trimmed Statistics
Honghao Lin, Hoai-An Nguyen, David P. Woodruff
We study sketching trimmed statistics of a frequency vector, including the moment of the top- coordinates and of the trimmed- vector. Despite their natural role in robu…
Lifting Linear Sketches: Optimal Bounds and Adversarial Robustness
Elena Gribelyuk, Honghao Lin, David P. Woodruff +2
We introduce a novel technique for ``lifting'' dimension lower bounds for linear sketches in the real-valued setting to dimension lower bounds for linear sketches with polynomially…
A Strong Separation for Adversarially Robust Estimation for Linear Sketches
Elena Gribelyuk, Honghao Lin, David P. Woodruff +2
The majority of streaming problems are defined and analyzed in a static setting, where the data stream is any worst-case sequence of insertions and deletions that is fixed in advan…
Optimal Sketching for Residual Error Estimation for Matrix and Vector Norms
Yi Li, Honghao Lin, David P. Woodruff
We study the problem of residual error estimation for matrix and vector norms using a linear sketch. Such estimates can be used, for example, to quickly assess how useful a more ex…
Tight Lower Bounds for Directed Cut Sparsification and Distributed Min-Cut
Yu Cheng, Max Li, Honghao Lin +3
In this paper, we consider two fundamental cut approximation problems on large graphs. We prove new lower bounds for both problems that are optimal up to logarithmic factors. The f…
-Regression in the Arbitrary Partition Model of Communication
Yi Li, Honghao Lin, David P. Woodruff
We consider the randomized communication complexity of the distributed -regression problem in the coordinator model, for . In this problem, there is a coordinat…
Learning the Positions in CountSketch
Yi Li, Honghao Lin, Simin Liu +2
We consider sketching algorithms which first compress data by multiplication with a random sketch matrix, and then apply the sketch to quickly solve an optimization problem, e.g.,…
The -Subspace Sketch Problem in Small Dimensions with Applications to Support Vector Machines
Yi Li, Honghao Lin, David P. Woodruff
In the -subspace sketch problem, we are given an matrix with , and asked to build a small memory data structure so that, for any query vector…
Streaming Algorithms with Large Approximation Factors
Yi Li, Honghao Lin, David P. Woodruff +1
We initiate a broad study of classical problems in the streaming model with insertions and deletions in the setting where we allow the approximation factor to be much larger th…
Learning Augmented Binary Search Trees
Honghao Lin, Tian Luo, David P. Woodruff
A treap is a classic randomized binary search tree data structure that is easy to implement and supports O(\log n) expected time access. However, classic treaps do not take advanta…
Triangle and Four Cycle Counting with Predictions in Graph Streams
Justin Y. Chen, Talya Eden, Piotr Indyk +7
We propose data-driven one-pass streaming algorithms for estimating the number of triangles and four cycles, two fundamental problems in graph analytics that are widely studied in…
Robust Learning of Fixed-Structure Bayesian Networks in Nearly-Linear Time
Yu Cheng, Honghao Lin
We study the problem of learning Bayesian networks where an -fraction of the samples are adversarially corrupted. We focus on the fully-observable case where the underlying grap…
Learning-Augmented Sketches for Hessians
Yi Li, Honghao Lin, David P. Woodruff
Sketching is a dimensionality reduction technique where one compresses a matrix by linear combinations that are chosen at random. A line of work has shown how to sketch the Hessian…
Learning the Positions in CountSketch
Simin Liu, Tianrui Liu, Ali Vakilian +2
We consider sketching algorithms which first quickly compress data by multiplication with a random sketch matrix, and then apply the sketch to quickly solve an optimization problem…