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Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

Machine Learning · Statistics 2021-06-09 Hankui Peng , Nicos G. Pavlidis

We provide a probabilistic interpretation of attention and show that the standard dot-product attention in transformers is a special case of Maximum A Posteriori (MAP) inference. The proposed approach suggests the use of Expectation…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Prasad Gabbur , Manjot Bilkhu , Javier Movellan

Explainable AI (XAI) is an important developing area but remains relatively understudied for clustering. We propose an explainable-by-design clustering approach that not only finds clusters but also exemplars to explain each cluster. The…

Artificial Intelligence · Computer Science 2022-09-21 Ian Davidson , Michael Livanos , Antoine Gourru , Peter Walker , Julien Velcin , S. S. Ravi

In-Context Learning (ICL) in transformers acts as an online associative memory and is believed to underpin their high performance on complex sequence processing tasks. However, in gated linear attention models, this memory has a fixed…

Machine Learning · Computer Science 2026-02-12 Djohan Bonnet , Jamie Lohoff , Jan Finkbeiner , Elidona Skhikerujah , Emre Neftci

Convolution and self-attention are two powerful techniques for representation learning, and they are usually considered as two peer approaches that are distinct from each other. In this paper, we show that there exists a strong underlying…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Xuran Pan , Chunjiang Ge , Rui Lu , Shiji Song , Guanfu Chen , Zeyi Huang , Gao Huang

The problem of constrained $k$-center clustering has attracted significant attention in the past decades. In this paper, we study balanced $k$-center cluster where the size of each cluster is constrained by the given lower and upper bounds.…

Computational Geometry · Computer Science 2017-04-11 Hu Ding

This paper introduces a high-order Markov chain task to investigate how transformers learn to integrate information from multiple past positions with varying statistical significance. We demonstrate that transformers learn this task…

Machine Learning · Computer Science 2026-02-24 Oğuz Kaan Yüksel , Rodrigo Alvarez Lucendo , Nicolas Flammarion

Deployments of artificial intelligence in medical diagnostics mandate not just accuracy and efficacy but also trust, emphasizing the need for explainability in machine decisions. The recent trend in automated medical image diagnostics leans…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Ugur Demir , Debesh Jha , Zheyuan Zhang , Elif Keles , Bradley Allen , Aggelos K. Katsaggelos , Ulas Bagci

The Transformer architecture has revolutionized deep learning through its Self-Attention mechanism, which effectively captures contextual information. However, the memory footprint of Self-Attention presents significant challenges for…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Zohaib Khan , Muhammad Khaquan , Omer Tafveez , Burhanuddin Samiwala , Agha Ali Raza

Neural networks equipped with self-attention have parallelizable computation, light-weight structure, and the ability to capture both long-range and local dependencies. Further, their expressive power and performance can be boosted by using…

Computation and Language · Computer Science 2019-03-27 Tao Shen , Tianyi Zhou , Guodong Long , Jing Jiang , Chengqi Zhang

We introduce a modified model of random walk, and then develop two novel clustering algorithms based on it. In the algorithms, each data point in a dataset is considered as a particle which can move at random in space according to the…

Machine Learning · Computer Science 2008-10-31 Qiang Li , Yan He , Jing-ping Jiang

Despite recent advancements, NLP models continue to be vulnerable to bias. This bias often originates from the uneven distribution of real-world data and can propagate through the annotation process. Escalated integration of these models in…

Computation and Language · Computer Science 2023-05-29 Sabit Hassan , Malihe Alikhani

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro

Multi-head attention empowers the recent success of transformers, the state-of-the-art models that have achieved remarkable success in sequence modeling and beyond. These attention mechanisms compute the pairwise dot products between the…

Machine Learning · Computer Science 2022-06-02 Tan Nguyen , Minh Pham , Tam Nguyen , Khai Nguyen , Stanley J. Osher , Nhat Ho

The generation of collider data using machine learning has emerged as a prominent research topic in particle physics due to the increasing computational challenges associated with traditional Monte Carlo simulation methods, particularly for…

High Energy Physics - Experiment · Physics 2023-05-25 Benno Käch , Isabell Melzer-Pellmann

A novel approach rooted on the notion of consensus clustering, a strategy developed for community detection in complex networks, is proposed to cope with the heterogeneity that characterizes connectivity matrices in health and disease. The…

Neurons and Cognition · Quantitative Biology 2017-05-09 Javier Rasero , Mario Pellicoro , Leonardo Angelini , Jesus M. Cortes , Daniele Marinazzo , Sebastiano Stramaglia

Vision Transformers have achieved state-of-the-art performance in many visual tasks. Due to the quadratic computational and memory complexities of self-attention, recent works either apply attention only to low-resolution inputs or restrict…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Cheng Li , Yangxin Liu

State-of-the-art transformer models use pairwise dot-product based self-attention, which comes at a computational cost quadratic in the input sequence length. In this paper, we investigate the global structure of attention scores computed…

Machine Learning · Computer Science 2021-06-17 Srinadh Bhojanapalli , Ayan Chakrabarti , Himanshu Jain , Sanjiv Kumar , Michal Lukasik , Andreas Veit

In-context learning (ICL) is a cornerstone of large language model (LLM) functionality, yet its theoretical foundations remain elusive due to the complexity of transformer architectures. In particular, most existing work only theoretically…

Machine Learning · Computer Science 2024-09-18 Siyu Chen , Heejune Sheen , Tianhao Wang , Zhuoran Yang

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

Machine Learning · Statistics 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu
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