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The neural attention mechanism has been incorporated into deep neural networks to achieve state-of-the-art performance in various domains. Most such models use multi-head self-attention which is appealing for the ability to attend to…

Machine Learning · Computer Science 2021-10-26 Shujian Zhang , Xinjie Fan , Huangjie Zheng , Korawat Tanwisuth , Mingyuan Zhou

The challenge of mapping AI architectures to GPU hardware is creating a critical bottleneck in AI progress. Despite substantial efforts, hand-written custom kernels fail to meet their theoretical performance thresholds, even on…

Machine Learning · Computer Science 2024-10-29 Benjamin F. Spector , Simran Arora , Aaryan Singhal , Daniel Y. Fu , Christopher Ré

Typical R-convolution graph kernels invoke the kernel functions that decompose graphs into non-isomorphic substructures and compare them. However, overlooking implicit similarities and topological position information between those…

Machine Learning · Computer Science 2024-05-10 Shuhao Tang , Hao Tian , Xiaofeng Cao , Wei Ye

This paper proposes joint attention estimation in a single image. Different from related work in which only the gaze-related attributes of people are independently employed, (I) their locations and actions are also employed as contextual…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Chihiro Nakatani , Hiroaki Kawashima , Norimichi Ukita

Imposing an effective structural assumption on neural network weight matrices has been the major paradigm for designing Parameter-Efficient Fine-Tuning (PEFT) systems for adapting modern large pre-trained models to various downstream tasks.…

Machine Learning · Computer Science 2025-02-20 Xin Li , Anand Sarwate

Transformers have shown great potential in various computer vision tasks. By borrowing design concepts from transformers, many studies revolutionized CNNs and showed remarkable results. This paper falls in this line of studies.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Ruihan Xu , Haokui Zhang , Wenze Hu , Shiliang Zhang , Xiaoyu Wang

We introduce kernel integrated $R^2$, a new measure of statistical dependence that combines the local normalization principle of the recently introduced integrated $R^2$ with the flexibility of reproducing kernel Hilbert spaces (RKHSs). The…

Machine Learning · Statistics 2026-02-27 Pouya Roudaki , Shakeel Gavioli-Akilagun , Florian Kalinke , Mona Azadkia , Zoltán Szabó

Numerous studies on text-to-image (T2I) generative models have utilized cross-attention maps to boost application performance and interpret model behavior. However, the distinct characteristics of attention maps from different attention…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Jungwon Park , Jungmin Ko , Dongnam Byun , Wonjong Rhee

The Neural Tangent Kernel (NTK) characterizes the behavior of infinitely wide neural nets trained under least squares loss by gradient descent. However, despite its importance, the super-quadratic runtime of kernel methods limits the use of…

Machine Learning · Computer Science 2021-07-28 Amir Zandieh

To accelerate kernel methods, we propose a near input sparsity time algorithm for sampling the high-dimensional feature space implicitly defined by a kernel transformation. Our main contribution is an importance sampling method for…

Data Structures and Algorithms · Computer Science 2020-07-15 David P. Woodruff , Amir Zandieh

Any applied mathematical model contains parameters. The paper proposes to use kernel learning for the parametric analysis of the model. The approach consists in setting a distribution on the parameter space, obtaining a finite training…

Optimization and Control · Mathematics 2025-01-27 Vladimir Norkin , Alois Pichler

Kernel embeddings have emerged as a powerful tool for representing probability measures in a variety of statistical inference problems. By mapping probability measures into a reproducing kernel Hilbert space (RKHS), kernel embeddings enable…

Machine Learning · Statistics 2024-10-31 Dino Sejdinovic

With the development of the self-attention mechanism, the Transformer model has demonstrated its outstanding performance in the computer vision domain. However, the massive computation brought from the full attention mechanism became a…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Hai Lan , Xihao Wang , Xian Wei

Attention networks show promise for both vision and language tasks, by emphasizing relationships between constituent elements through weighting functions. Such elements could be regions in an image output by a region proposal network, or…

Machine Learning · Computer Science 2019-10-07 Chu Wang , Babak Samari , Vladimir Kim , Siddhartha Chaudhuri , Kaleem Siddiqi

Sequential self-attention models usually rely on additive positional embeddings, which inject positional information into item representations at the input. In the absence of positional signals, the attention block is…

Information Retrieval · Computer Science 2026-02-25 Timur Nabiev , Evgeny Frolov

Transformers excel through content-addressable retrieval and the ability to exploit contexts of, in principle, unbounded length. We recast associative memory at the level of probability measures, treating a context as a distribution over…

Machine Learning · Statistics 2026-02-03 Ryotaro Kawata , Taiji Suzuki

Attention based Transformer architecture has enabled significant advances in the field of natural language processing. In addition to new pre-training techniques, recent improvements crucially rely on working with a relatively larger…

Machine Learning · Computer Science 2020-02-18 Srinadh Bhojanapalli , Chulhee Yun , Ankit Singh Rawat , Sashank J. Reddi , Sanjiv Kumar

Pretrained embeddings based on the Transformer architecture have taken the NLP community by storm. We show that they can mathematically be reframed as a sum of vector factors and showcase how to use this reframing to study the impact of…

Computation and Language · Computer Science 2022-06-09 Timothee Mickus , Denis Paperno , Mathieu Constant

The attention mechanism lies at the core of the transformer architecture, providing an interpretable model-internal signal that has motivated a growing interest in attention-based model explanations. Although attention weights do not…

Machine Learning · Computer Science 2025-08-13 Marte Eggen , Jacob Lysnæs-Larsen , Inga Strümke

We propose a novel adaptive learning algorithm based on iterative orthogonal projections in the Cartesian product of multiple reproducing kernel Hilbert spaces (RKHSs). The task is estimating/tracking nonlinear functions which are supposed…

Machine Learning · Computer Science 2015-10-28 Masahiro Yukawa
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