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Active learning aims to reduce labeling efforts by selectively asking humans to annotate the most important data points from an unlabeled pool and is an example of human-machine interaction. Though active learning has been extensively…

Machine Learning · Computer Science 2020-01-31 Hongjing Zhang , S. S. Ravi , Ian Davidson

Submodular maximization has been widely studied over the past decades, mostly because of its numerous applications in real-world problems. It is well known that the standard greedy algorithm guarantees a worst-case approximation factor of…

Data Structures and Algorithms · Computer Science 2020-02-12 Alfredo Torrico , Mohit Singh , Sebastian Pokutta

Learning graphs from data automatically has shown encouraging performance on clustering and semisupervised learning tasks. However, real data are often corrupted, which may cause the learned graph to be inexact or unreliable. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Zhao Kang , Haiqi Pan , Steven C. H. Hoi , Zenglin Xu

Dense subgraph extraction is a fundamental problem in graph analysis and data mining, aimed at identifying cohesive and densely connected substructures within a given graph. It plays a crucial role in various domains, including social…

Data Structures and Algorithms · Computer Science 2024-03-01 Chia-Yang Hung , Chih-Ya Shen

We consider the problem of learning a graph from a finite set of noisy graph signal observations, the goal of which is to find a smooth representation of the graph signal. Such a problem is motivated by the desire to infer relational…

Machine Learning · Computer Science 2023-02-08 Xiaolu Wang , Yuen-Man Pun , Anthony Man-Cho So

Smooth functions on graphs have wide applications in manifold and semi-supervised learning. In this work, we study a bandit problem where the payoffs of arms are smooth on a graph. This framework is suitable for solving online learning…

Machine Learning · Statistics 2026-04-29 Tomáš Kocák , Rémi Munos , Branislav Kveton , Shipra Agrawal , Michal Valko

Given that no existing graph construction method can generate a perfect graph for a given dataset, graph-based algorithms are often affected by redundant and erroneous edges present within the constructed graphs. In this paper, we view…

Machine Learning · Computer Science 2024-11-27 Yongyu Wang , Xiaotian Zhuang

We analyze greedy algorithms for the Hierarchical Aggregation (HAG) problem, a strategy introduced in [Jia et al., KDD 2020] for speeding up learning on Graph Neural Networks (GNNs). The idea of HAG is to identify and remove redundancies in…

Data Structures and Algorithms · Computer Science 2021-02-09 Alexandra Porter , Mary Wootters

Using random walks for sampling has proven advantageous in assessing the characteristics of large and unknown social networks. Several algorithms based on random walks have been introduced in recent years. In the practical application of…

Social and Information Networks · Computer Science 2024-09-18 Tsuyoshi Hasegawa , Shiori Hironaka , Kazuyuki Shudo

Smooth functions on graphs have wide applications in manifold and semi-supervised learning. In this paper, we study a bandit problem where the payoffs of arms are smooth on a graph. This framework is suitable for solving online learning…

Machine Learning · Statistics 2026-04-21 Michal Valko , Rémi Munos , Branislav Kveton , Tomáš Kocák

Graph matching, also known as network alignment, refers to finding a bijection between the vertex sets of two given graphs so as to maximally align their edges. This fundamental computational problem arises frequently in multiple fields…

Data Structures and Algorithms · Computer Science 2021-08-10 Cheng Mao , Mark Rudelson , Konstantin Tikhomirov

We propose a new yet natural algorithm for learning the graph structure of general discrete graphical models (a.k.a. Markov random fields) from samples. Our algorithm finds the neighborhood of a node by sequentially adding nodes that…

Machine Learning · Statistics 2012-02-09 Praneeth Netrapalli , Siddhartha Banerjee , Sujay Sanghavi , Sanjay Shakkottai

We introduce a model of graph-constrained dynamic choice with reinforcement modeled by positively $\alpha$-homogeneous rewards. We show that its empirical process, which can be written as a stochastic approximation recursion with Markov…

Optimization and Control · Mathematics 2021-07-27 Konstantin Avrachenkov , Vivek S. Borkar , Sharayu Moharir , Suhail M. Shah

We consider the problem of global optimization of an unknown non-convex smooth function with zeroth-order feedback. In this setup, an algorithm is allowed to adaptively query the underlying function at different locations and receives noisy…

Machine Learning · Statistics 2018-03-26 Yining Wang , Sivaraman Balakrishnan , Aarti Singh

A fundamental challenge in graph mining is the ever-increasing size of datasets. Graph summarization aims to find a compact representation resulting in faster algorithms and reduced storage needs. The flip side of graph summarization is the…

Data Structures and Algorithms · Computer Science 2020-06-17 Mahdi Hajiabadi , Jasbir Singh , Venkatesh Srinivasan , Alex Thomo

We consider the minimum cost intervention design problem: Given the essential graph of a causal graph and a cost to intervene on a variable, identify the set of interventions with minimum total cost that can learn any causal graph with the…

Machine Learning · Computer Science 2018-10-30 Erik M. Lindgren , Murat Kocaoglu , Alexandros G. Dimakis , Sriram Vishwanath

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

This paper studies graph-based active learning, where the goal is to reconstruct a binary signal defined on the nodes of a weighted graph, by sampling it on a small subset of the nodes. A new sampling algorithm is proposed, which…

Machine Learning · Computer Science 2016-05-19 Eyal En Gad , Akshay Gadde , A. Salman Avestimehr , Antonio Ortega

This paper examines the ability of greedy algorithms to estimate a block sparse parameter vector from noisy measurements. In particular, block sparse versions of the orthogonal matching pursuit and thresholding algorithms are analyzed under…

Information Theory · Computer Science 2015-05-19 Zvika Ben-Haim , Yonina C. Eldar

Nearest neighbor (NN) graph based visual re-ranking has emerged as a powerful approach for improving retrieval accuracy, offering the advantages of effectively exploring high-dimensional manifolds without requiring additional fine-tuning.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Jaeyoon Kim , Yoonki Cho , Taeyoung Kim , Sung-Eui Yoon