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The kernel embedding algorithm is an important component for adapting kernel methods to large datasets. Since the algorithm consumes a major computation cost in the testing phase, we propose a novel teacher-learner framework of learning…

Machine Learning · Statistics 2017-12-08 Jianqiao Wangni , Jingwei Zhuo , Jun Zhu

Mitigating and reducing noise influence is crucial for obtaining precise experimental results from noisy intermediate-scale quantum (NISQ) devices. In this work, an adaptive Hamiltonian learning (AHL) model for data analysis and quantum…

Quantum Physics · Physics 2025-01-15 Wenxuan Wang

Kernel approximation is widely used to scale up kernel SVM training and prediction. However, the memory and computation costs of kernel approximation models are still too high if we want to deploy them on memory-limited devices such as…

Machine Learning · Computer Science 2020-10-07 Zijian Lei , Liang Lan

Anomaly detectors are widely used in industrial manufacturing to detect and localize unknown defects in query images. These detectors are trained on anomaly-free samples and have successfully distinguished anomalies from most normal…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Zixuan Chen , Xiaohua Xie , Lingxiao Yang , Jianhuang Lai

The Hierarchical Kernel Transformer (HKT) is a multi-scale attention mechanism that processes sequences at L resolution levels via trainable causal downsampling, combining level-specific score matrices through learned convex weights. The…

Machine Learning · Computer Science 2026-04-13 Giansalvo Cirrincione

In retrieval applications, binary hashes are known to offer significant improvements in terms of both memory and speed. We investigate the compression of sentence embeddings using a neural encoder-decoder architecture, which is trained by…

Information Retrieval · Computer Science 2019-08-16 Felix Hamann , Nadja Kurz , Adrian Ulges

Kernel methods form a theoretically-grounded, powerful and versatile framework to solve nonlinear problems in signal processing and machine learning. The standard approach relies on the \emph{kernel trick} to perform pairwise evaluations of…

Machine Learning · Computer Science 2020-01-03 Kan Li , Jose C. Principe

We consider learning in decentralized heterogeneous networks: agents seek to minimize a convex functional that aggregates data across the network, while only having access to their local data streams. We focus on the case where agents seek…

Optimization and Control · Mathematics 2021-06-02 Hrusikesha Pradhan , Amrit Singh Bedi , Alec Koppel , Ketan Rajawat

We consider the problem of approximating the regression function $f_\mu:\, \Omega \to Y$ from noisy $\mu$-distributed vector-valued data $(\omega_m,y_m)\in\Omega\times Y$ by an online learning algorithm using a reproducing kernel Hilbert…

Machine Learning · Statistics 2025-10-03 Michael Griebel , Peter Oswald

In the last decade, a considerable research effort has been devoted to developing adaptive algorithms based on kernel functions. One of the main features of these algorithms is that they form a family of universal approximation techniques,…

Signal Processing · Electrical Eng. & Systems 2018-08-21 A. Flores , R. C. de Lamare

The ability to generalize under distributional shifts is essential to reliable machine learning, while models optimized with empirical risk minimization usually fail on non-$i.i.d$ testing data. Recently, invariant learning methods for…

Machine Learning · Computer Science 2021-10-26 Jiashuo Liu , Zheyuan Hu , Peng Cui , Bo Li , Zheyan Shen

We propose a new class of random feature methods for linearizing softmax and Gaussian kernels called hybrid random features (HRFs) that automatically adapt the quality of kernel estimation to provide most accurate approximation in the…

Multimedia or spoken content presents more attractive information than plain text content, but the former is more difficult to display on a screen and be selected by a user. As a result, accessing large collections of the former is much…

Computation and Language · Computer Science 2017-01-03 Wei Fang , Jui-Yang Hsu , Hung-yi Lee , Lin-Shan Lee

Kernel Adaptive Filtering (KAF) are mathematically principled methods which search for a function in a Reproducing Kernel Hilbert Space. While they work well for tasks such as time series prediction and system identification they are…

Machine Learning · Computer Science 2023-12-20 Benjamin Colburn , Jose C. Principe , Luis G. Sanchez Giraldo

Hybrid Language Models (HLMs) combine the low-latency efficiency of Small Language Models (SLMs) on edge devices with the high accuracy of Large Language Models (LLMs) on centralized servers. Unlike traditional end-to-end LLM inference,…

Machine Learning · Computer Science 2025-07-02 Faranaksadat Solat , Joohyung Lee , Mohamed Seif , Dusit Niyato , H. Vincent Poor

As a promising step, the performance of data analysis and feature learning are able to be improved if certain pattern matching mechanism is available. One of the feasible solutions can refer to the importance estimation of instances, and…

Machine Learning · Computer Science 2020-11-17 Miao Cheng , Xinge You

This paper proposes K-NRM, a kernel based neural model for document ranking. Given a query and a set of documents, K-NRM uses a translation matrix that models word-level similarities via word embeddings, a new kernel-pooling technique that…

Information Retrieval · Computer Science 2017-06-22 Chenyan Xiong , Zhuyun Dai , Jamie Callan , Zhiyuan Liu , Russell Power

This paper presents a Kernel Entity Salience Model (KESM) that improves text understanding and retrieval by better estimating entity salience (importance) in documents. KESM represents entities by knowledge enriched distributed…

Information Retrieval · Computer Science 2018-05-04 Chenyan Xiong , Zhengzhong Liu , Jamie Callan , Tie-Yan Liu

Kernel methods have been among the most popular techniques in machine learning, where learning tasks are solved using the property of reproducing kernel Hilbert space (RKHS). In this paper, we propose a novel data analysis framework with…

Machine Learning · Statistics 2021-12-22 Yuka Hashimoto , Isao Ishikawa , Masahiro Ikeda , Fuyuta Komura , Takeshi Katsura , Yoshinobu Kawahara

Kernel adaptive filters (KAF) are a class of powerful nonlinear filters developed in Reproducing Kernel Hilbert Space (RKHS). The Gaussian kernel is usually the default kernel in KAF algorithms, but selecting the proper kernel size…

Machine Learning · Statistics 2016-05-10 Badong Chen , Junli Liang , Nanning Zheng , Jose C. Principe
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