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Learning from graph-structured data is an important task in machine learning and artificial intelligence, for which Graph Neural Networks (GNNs) have shown great promise. Motivated by recent advances in geometric representation learning, we…

Machine Learning · Computer Science 2019-10-30 Qi Liu , Maximilian Nickel , Douwe Kiela

We study the efficient learnability of geometric concept classes - specifically, low-degree polynomial threshold functions (PTFs) and intersections of halfspaces - when a fraction of the data is adversarially corrupted. We give the first…

Machine Learning · Computer Science 2017-07-06 Ilias Diakonikolas , Daniel M. Kane , Alistair Stewart

Graph Contrastive Learning (GCL) has recently emerged as a promising graph self-supervised learning framework for learning discriminative node representations without labels. The widely adopted objective function of GCL benefits from two…

Machine Learning · Computer Science 2024-11-05 Yunhui Liu , Tieke He , Tao Zheng , Jianhua Zhao

Analyzing high-dimensional data with manifold learning algorithms often requires searching for the nearest neighbors of all observations. This presents a computational bottleneck in statistical manifold learning when observations of…

Machine Learning · Computer Science 2022-03-11 Fan Cheng , Anastasios Panagiotelis , Rob J Hyndman

This paper presents a novel system designed for 3D mapping and visual relocalization using 3D Gaussian Splatting. Our proposed method uses LiDAR and camera data to create accurate and visually plausible representations of the environment.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Peng Jiang , Gaurav Pandey , Srikanth Saripalli

We study ``selective'' or ``conditional'' classification problems under an agnostic setting. Classification tasks commonly focus on modeling the relationship between features and categories that captures the vast majority of data. In…

Machine Learning · Computer Science 2025-02-04 Jizhou Huang , Brendan Juba

Large-scale approximate nearest neighbor search (ANN) has been gaining attention along with the latest machine learning researches employing ANNs. If the data is too large to fit in memory, it is necessary to search for the most similar…

Machine Learning · Computer Science 2025-01-29 Taiga Ikeda , Daisuke Miyashita , Jun Deguchi

Deep discriminative approaches, such as decision forests and deep neural networks, have recently found applications in many important real-world scenarios. However, deploying these learning algorithms in safety-critical applications raises…

Machine Learning · Computer Science 2025-06-12 Jayanta Dey , Haoyin Xu , Ashwin De Silva , Joshua T. Vogelstein

In this paper, we study the problem of learning compact (low-dimensional) representations for sequential data that captures its implicit spatio-temporal cues. To maximize extraction of such informative cues from the data, we set the problem…

Machine Learning · Computer Science 2020-07-14 Anoop Cherian , Shuchin Aeron

Learning robust representations that allow to reliably establish relations between images is of paramount importance for virtually all of computer vision. Annotating the quadratic number of pairwise relations between training images is…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Timo Milbich , Omair Ghori , Ferran Diego , Björn Ommer

The accurate representation of fine-detailed cloth wrinkles poses significant challenges in computer graphics. The inherently non-uniform structure of cloth wrinkles mandates the employment of intricate discretization strategies, which are…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Lei Shu , Vinicius Azevedo , Barbara Solenthaler , Markus Gross

Proximity graph-based methods have emerged as a leading paradigm for approximate nearest neighbor (ANN) search in the system community. This paper presents fresh insights into the theoretical foundation of these methods. We describe an…

Data Structures and Algorithms · Computer Science 2025-09-10 Shangqi Lu , Yufei Tao

In this paper, we study the problem of graph similarity search with graph edit distance (GED) constraints. Due to the NP-hardness of GED computation, existing solutions to this problem adopt the filtering-and-verification framework with a…

Databases · Computer Science 2020-04-03 Jongik Kim

Laplacian-based methods are popular for the dimensionality reduction of data lying in $\mathbb{R}^N$. Several theoretical results for these algorithms depend on the fact that the Euclidean distance locally approximates the geodesic distance…

Machine Learning · Computer Science 2025-09-24 Liane Xu , Amit Singer

Learning faithful graph representations as sets of vertex embeddings has become a fundamental intermediary step in a wide range of machine learning applications. The quality of the embeddings is usually determined by how well the geometry…

Machine Learning · Computer Science 2021-05-13 Federico López , Beatrice Pozzetti , Steve Trettel , Anna Wienhard

Current work in lexical distributed representations maps each word to a point vector in low-dimensional space. Mapping instead to a density provides many interesting advantages, including better capturing uncertainty about a representation…

Computation and Language · Computer Science 2015-05-04 Luke Vilnis , Andrew McCallum

The key to overcome class imbalance problems is to capture the distribution of minority class accurately. Generative Adversarial Networks (GANs) have shown some potentials to tackle class imbalance problems due to their capability of…

Machine Learning · Computer Science 2020-08-06 Jingyu Hao , Chengjia Wang , Heye Zhang , Guang Yang

Graph representation learning has attracted much attention in supporting high quality candidate search at scale. Despite its effectiveness in learning embedding vectors for objects in the user-item interaction network, the computational…

Information Retrieval · Computer Science 2020-03-05 Qiaoyu Tan , Ninghao Liu , Xing Zhao , Hongxia Yang , Jingren Zhou , Xia Hu

Approximate nearest-neighbor search (ANNS) algorithms are a key part of the modern deep learning stack due to enabling efficient similarity search over high-dimensional vector space representations (i.e., embeddings) of data. Among various…

Information Retrieval · Computer Science 2024-02-09 Magdalen Dobson Manohar , Zheqi Shen , Guy E. Blelloch , Laxman Dhulipala , Yan Gu , Harsha Vardhan Simhadri , Yihan Sun

Real-world object classes appear in imbalanced ratios. This poses a significant challenge for classifiers which get biased towards frequent classes. We hypothesize that improving the generalization capability of a classifier should improve…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Munawar Hayat , Salman Khan , Waqas Zamir , Jianbing Shen , Ling Shao