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Maximum Inner Product Search (MIPS) is an important task in many machine learning applications such as the prediction phase of a low-rank matrix factorization model for a recommender system. There have been some works on how to perform MIPS…

Data Structures and Algorithms · Computer Science 2016-10-12 Hsiang-Fu Yu , Cho-Jui Hsieh , Qi Lei , Inderjit S. Dhillon

We propose a new greedy algorithm for the maximum cardinality matching problem. We give experimental evidence that this algorithm is likely to find a maximum matching in random graphs with constant expected degree c>0, independent of the…

Data Structures and Algorithms · Computer Science 2012-03-20 Martin Dietzfelbinger , Hendrik Peilke , Michael Rink

We present a hybrid constraint-based/Bayesian algorithm for learning causal networks in the presence of sparse data. The algorithm searches the space of equivalence classes of models (essential graphs) using a heuristic based on…

Artificial Intelligence · Computer Science 2013-01-30 Denver Dash , Marek J. Druzdzel

We present a lazy incremental search algorithm, Lifelong-GLS (L-GLS), along with its bounded suboptimal version, Bounded L-GLS (B-LGLS) that combine the search efficiency of incremental search algorithms with the evaluation efficiency of…

Robotics · Computer Science 2022-10-25 Jaein Lim , Mahdi Ghanei , R. Connor Lawson , Siddhartha Srinivasa , Panagiotis Tsiotras

For the classical maximum coverage problem, the greedy algorithm achieves a worst-case $1-1/e$ approximation, which is optimal unless $\text{P} = \text{NP}$. The notion of coverage appears in a wide range of optimization tasks, where…

Data Structures and Algorithms · Computer Science 2026-04-29 Eric Balkanski , Jason Chatzitheodorou , Flore Sentenac

Optimal selection of a subset of items from a given set is a hard problem that requires combinatorial optimization. In this paper, we propose a subset selection algorithm that is trainable with gradient-based methods yet achieves…

Machine Learning · Computer Science 2018-10-31 Thomas Powers , Rasool Fakoor , Siamak Shakeri , Abhinav Sethy , Amanjit Kainth , Abdel-rahman Mohamed , Ruhi Sarikaya

\emph{Maximal ancestral graph} (MAGs) is a class of graphical model that extend the famous \emph{directed acyclic graph} in the presence of latent confounders. Most score-based approaches to learn the unknown MAG from empirical data rely on…

Machine Learning · Statistics 2024-02-08 Zhongyi Hu , Robin Evans

The chain graph model admits both undirected and directed edges in one graph, where symmetric conditional dependencies are encoded via undirected edges and asymmetric causal relations are encoded via directed edges. Though frequently…

Methodology · Statistics 2024-01-29 Ruixuan Zhao , Haoran Zhang , Junhui Wang

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

A key problem in deep multi-attribute learning is to effectively discover the inter-attribute correlation structures. Typically, the conventional deep multi-attribute learning approaches follow the pipeline of manually designing the network…

Neural and Evolutionary Computing · Computer Science 2018-08-03 Siyu Huang , Xi Li , Zhi-Qi Cheng , Zhongfei Zhang , Alexander Hauptmann

We study a graph search problem in which a team of searchers attempts to find a mobile target located in a graph. Assuming that (a) the visibility field of the searchers is limited, (b) the searchers have unit speed and (c) the target has…

Discrete Mathematics · Computer Science 2021-05-14 Ath. Kehagias , A. C. Papazoglou

Designing a lightweight semantic segmentation network often requires researchers to find a trade-off between performance and speed, which is always empirical due to the limited interpretability of neural networks. In order to release…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Peiwen Lin , Peng Sun , Guangliang Cheng , Sirui Xie , Xi Li , Jianping Shi

Graph neural architecture search has received a lot of attention as Graph Neural Networks (GNNs) has been successfully applied on the non-Euclidean data recently. However, exploring all possible GNNs architectures in the huge search space…

Machine Learning · Computer Science 2021-12-08 Jiamin Chen , Jianliang Gao , Yibo Chen , Oloulade Babatounde Moctard , Tengfei Lyu , Zhao Li

Maximum weight matching is one of the most fundamental combinatorial optimization problems with a wide range of applications in data mining and bioinformatics. Developing distributed weighted matching algorithms is challenging due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-06 Sepehr Assadi , MohammadHossein Bateni , Vahab Mirrokni

It is an easy observation that a natural greedy approach yields a $\left(d-O(1)\right)$-factor approximation algorithm for the maximum induced matching problem in $d$-regular graphs. The only considerable and non-trivial improvement of this…

Combinatorics · Mathematics 2017-08-08 Maximilian Fürst , Marilena Leichter , Dieter Rautenbach

We study a fundamental problem in Bayesian learning, where the goal is to select a set of data sources with minimum cost while achieving a certain learning performance based on the data streams provided by the selected data sources. First,…

Machine Learning · Computer Science 2021-05-04 Lintao Ye , Aritra Mitra , Shreyas Sundaram

The ubiquity of large-scale graphs in node-classification tasks significantly hinders the real-world applications of Graph Neural Networks (GNNs). Node sampling, graph coarsening, and dataset condensation are effective strategies for…

Machine Learning · Computer Science 2024-05-28 Mucong Ding , Yinhan He , Jundong Li , Furong Huang

Causal discovery aims to infer causal relationships among variables from observational data, typically represented by a directed acyclic graph (DAG). Most existing methods assume independent and identically distributed observations, an…

Methodology · Statistics 2026-03-27 Alex Chen , Qing Zhou

The maximum genus $\gamma_M(G)$ of a graph G is the largest genus of an orientable surface into which G has a cellular embedding. Combinatorially, it coincides with the maximum number of disjoint pairs of adjacent edges of G whose removal…

Combinatorics · Mathematics 2015-01-30 Michal Kotrbcik , Martin Skoviera

We propose a new scalable method to optimize the architecture of an artificial neural network. The proposed algorithm, called Greedy Search for Neural Network Architecture, aims to determine a neural network with minimal number of layers…

Machine Learning · Computer Science 2021-04-30 Massimiliano Lupo Pasini , Junqi Yin , Ying Wai Li , Markus Eisenbach
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