activity
20122023
most citedA Max-Product EM Algorithm for Reconstructing Markov-tree Sparse Signals from Compressive Samples

4 citations · 14 across the 15 of their papers we have counts for

collaborators

15 papers

cs.LG2023

Query Complexity of Active Learning for Function Family With Nearly Orthogonal Basis

Xiang Chen, Zhao Song, Baocheng Sun +2

Many machine learning algorithms require large numbers of labeled data to deliver state-of-the-art results. In applications such as medical diagnosis and fraud detection, though th…

cs.DS2023★ 2 cited

A General Algorithm for Solving Rank-one Matrix Sensing

Lianke Qin, Zhao Song, Ruizhe Zhang

Matrix sensing has many real-world applications in science and engineering, such as system control, distance embedding, and computer vision. The goal of matrix sensing is to recove…

cs.DS2023

A Nearly-Optimal Bound for Fast Regression with Guarantee

Zhao Song, Mingquan Ye, Junze Yin +1

Given a matrix and a vector , we consider the regression problem with guarantees: finding a vector $x'\in \mathbb{R}^…

cs.DS2022

Adaptive and Dynamic Multi-Resolution Hashing for Pairwise Summations

Lianke Qin, Aravind Reddy, Zhao Song +2

In this paper, we propose Adam-Hash: an adaptive and dynamic multi-resolution hashing data-structure for fast pairwise summation estimation. Given a data-set $X \subset \mathbb{R}^…

cs.DS2022★ 2 cited

Sketching Meets Differential Privacy: Fast Algorithm for Dynamic Kronecker Projection Maintenance

Zhao Song, Xin Yang, Yuanyuan Yang +1

Projection maintenance is one of the core data structure tasks. Efficient data structures for projection maintenance have led to recent breakthroughs in many convex programming alg…

cs.DS2022★ 1 cited

Dynamic Tensor Product Regression

Aravind Reddy, Zhao Song, Lichen Zhang

In this work, we initiate the study of \emph{Dynamic Tensor Product Regression}. One has matrices and a…

cs.DS2022★ 1 cited

An Time Fourier Set Query Algorithm

Yeqi Gao, Zhao Song, Baocheng Sun

Fourier transformation is an extensively studied problem in many research fields. It has many applications in machine learning, signal processing, compressed sensing, and so on. In…

cs.LG2022

Dynamic Maintenance of Kernel Density Estimation Data Structure: From Practice to Theory

Jiehao Liang, Zhao Song, Zhaozhuo Xu +2

Kernel density estimation (KDE) stands out as a challenging task in machine learning. The problem is defined in the following way: given a kernel function and a set of poi…

cs.DS2022

Accelerating Frank-Wolfe Algorithm using Low-Dimensional and Adaptive Data Structures

Zhao Song, Zhaozhuo Xu, Yuanyuan Yang +1

In this paper, we study the problem of speeding up a type of optimization algorithms called Frank-Wolfe, a conditional gradient method. We develop and employ two novel inner produc…

cs.DS2022

Improved Reconstruction for Fourier-Sparse Signals

Yeqi Gao, Zhao Song, Baocheng Sun +2

We revisit the classical problem of Fourier-sparse signal reconstruction -- a variant of the \emph{Set Query} problem -- which asks to efficiently reconstruct (a subset of) a -d…

cs.DS2022★ 1 cited

Speeding Up Sparsification using Inner Product Search Data Structures

Zhao Song, Zhaozhuo Xu, Lichen Zhang

We present a general framework that utilizes different efficient data structures to improve various sparsification problems involving an iterative process. We also provide insights…

cs.DS2022

A Dynamic Low-Rank Fast Gaussian Transform

Baihe Huang, Zhao Song, Omri Weinstein +3

The \emph{Fast Gaussian Transform} (FGT) enables subquadratic-time multiplication of an Gaussian kernel matrix with…

cs.DS2020

Super-resolution and Robust Sparse Continuous Fourier Transform in Any Constant Dimension: Nearly Linear Time and Sample Complexity

Yaonan Jin, Daogao Liu, Zhao Song

The ability to resolve detail in the object that is being imaged, named by resolution, is the core parameter of an imaging system. Super-resolution is a class of techniques that ca…

cs.IT2013★ 3 cited

PREMIER - PRobabilistic Error-correction using Markov Inference in Errored Reads

Xin Yin, Zhao Song, Karin Dorman +1

In this work we present a flexible, probabilistic and reference-free method of error correction for high throughput DNA sequencing data. The key is to exploit the high coverage of…

stat.ML2012★ 4 cited

A Max-Product EM Algorithm for Reconstructing Markov-tree Sparse Signals from Compressive Samples

Zhao Song, Aleksandar Dogandzic

We propose a Bayesian expectation-maximization (EM) algorithm for reconstructing Markov-tree sparse signals via belief propagation. The measurements follow an underdetermined linea…