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Deep learning on graphs has attracted significant interests recently. However, most of the works have focused on (semi-) supervised learning, resulting in shortcomings including heavy label reliance, poor generalization, and weak…

Machine Learning · Computer Science 2022-05-05 Yixin Liu , Ming Jin , Shirui Pan , Chuan Zhou , Yu Zheng , Feng Xia , Philip S. Yu

Large data applications rely on storing data in massive, sparse graphs with millions to trillions of nodes. Graph-based methods, such as node prediction, aim for computational efficiency regardless of graph size. Techniques like localized…

Data Structures and Algorithms · Computer Science 2025-07-08 Yushen Huang , Ertai Luo , Reza Babenezhad , Yifan Sun

The problem of sparsifying a graph or a hypergraph while approximately preserving its cut structure has been extensively studied and has many applications. In a seminal work, Bencz\'ur and Karger (1996) showed that given any $n$-vertex…

Data Structures and Algorithms · Computer Science 2021-06-22 Yu Chen , Sanjeev Khanna , Ansh Nagda

Graph-based Semi-supervised learning (SSL) algorithms have been successfully used in a large number of applications. These methods classify initially unlabeled nodes by propagating label information over the structure of graph starting from…

Machine Learning · Computer Science 2014-03-03 Partha Pratim Talukdar , William Cohen

Semi-supervised learning (SSL) provides a powerful framework for leveraging unlabeled data when labels are limited or expensive to obtain. SSL algorithms based on deep neural networks have recently proven successful on standard benchmark…

Machine Learning · Computer Science 2019-06-18 Avital Oliver , Augustus Odena , Colin Raffel , Ekin D. Cubuk , Ian J. Goodfellow

Let $f:\{-1,1\}^n$ be a polynomial with at most $s$ non-zero real coefficients. We give an algorithm for exactly reconstructing f given random examples from the uniform distribution on $\{-1,1\}^n$ that runs in time polynomial in $n$ and…

Machine Learning · Computer Science 2014-11-10 Murat Kocaoglu , Karthikeyan Shanmugam , Alexandros G. Dimakis , Adam Klivans

In this paper, we introduce a variant of spectral sparsification, called probabilistic $(\varepsilon,\delta)$-spectral sparsification. Roughly speaking, it preserves the cut value of any cut $(S,S^{c})$ with an $1\pm\varepsilon$…

Data Structures and Algorithms · Computer Science 2014-01-03 Yin Tat Lee

Semi-supervised learning is highly useful in common scenarios where labeled data is scarce but unlabeled data is abundant. The graph (or nonlocal) Laplacian is a fundamental smoothing operator for solving various learning tasks. For…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Or Streicher , Guy Gilboa

We present the first almost-linear time algorithm for constructing linear-sized spectral sparsification for graphs. This improves all previous constructions of linear-sized spectral sparsification, which requires $\Omega(n^2)$ time. A key…

Data Structures and Algorithms · Computer Science 2015-08-14 Yin Tat Lee , He Sun

The MIT/IEEE/Amazon GraphChallenge.org encourages community approaches to developing new solutions for analyzing graphs and sparse data. Sparse AI analytics present unique scalability difficulties. The proposed Sparse Deep Neural Network…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Jeremy Kepner , Simon Alford , Vijay Gadepally , Michael Jones , Lauren Milechin , Ryan Robinett , Sid Samsi

There has been a surge of interest in spectral hypergraph sparsification, a natural generalization of spectral sparsification for graphs. In this paper, we present a simple fully dynamic algorithm for maintaining spectral hypergraph…

Data Structures and Algorithms · Computer Science 2026-01-12 Sebastian Forster , Gramoz Goranci , Ali Momeni

We propose a technique for declaratively specifying strategies for semi-supervised learning (SSL). The proposed method can be used to specify ensembles of semi-supervised learning, as well as agreement constraints and entropic…

Machine Learning · Computer Science 2018-05-21 Haitian Sun , William W. Cohen , Lidong Bing

Semi-supervised learning (SSL) has tremendous value in practice due to its ability to utilize both labeled data and unlabelled data. An important class of SSL methods is to naturally represent data as graphs such that the label information…

Machine Learning · Computer Science 2021-03-01 Zixing Song , Xiangli Yang , Zenglin Xu , Irwin King

The premise of semi-supervised learning (SSL) is that combining labeled and unlabeled data yields significantly more accurate models. Despite empirical successes, the theoretical understanding of SSL is still far from complete. In this…

Machine Learning · Statistics 2024-09-06 Eyar Azar , Boaz Nadler

Hyper-parameters of time series models play an important role in time series analysis. Slight differences in hyper-parameters might lead to very different forecast results for a given model, and therefore, selecting good hyper-parameter…

Machine Learning · Computer Science 2021-02-12 Peiyi Zhang , Xiaodong Jiang , Ginger M Holt , Nikolay Pavlovich Laptev , Caner Komurlu , Peng Gao , Yang Yu

In graph sparsification, the goal has almost always been of {global} nature: compress a graph into a smaller subgraph ({sparsifier}) that maintains certain features of the original graph. Algorithms can then run on the sparsifier, which in…

Data Structures and Algorithms · Computer Science 2021-05-06 Shay Solomon

We propose an $O(N\cdot M)$ sorting algorithm by Machine Learning method, which shows a huge potential sorting big data. This sorting algorithm can be applied to parallel sorting and is suitable for GPU or TPU acceleration. Furthermore, we…

Machine Learning · Computer Science 2018-08-16 Hanqing Zhao , Yuehan Luo

Sparse linear regression, which entails finding a sparse solution to an underdetermined system of linear equations, can formally be expressed as an $l_0$-constrained least-squares problem. The Orthogonal Least-Squares (OLS) algorithm…

Machine Learning · Statistics 2016-08-01 Abolfazl Hashemi , Haris Vikalo

Graph sparsification serves as a foundation for many algorithms, such as approximation algorithms for graph cuts and Laplacian system solvers. As its natural generalization, hypergraph sparsification has recently gained increasing…

Quantum Physics · Physics 2025-05-06 Chenghua Liu , Minbo Gao , Zhengfeng Ji , Mingsheng Ying

Sparse coding algorithm is an learning algorithm mainly for unsupervised feature for finding succinct, a little above high - level Representation of inputs, and it has successfully given a way for Deep learning. Our objective is to use High…

Machine Learning · Computer Science 2014-04-08 R. Vidya , Dr. G. M. Nasira , R. P. Jaia Priyankka