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Uncertainty estimation is essential for robust decision-making in the presence of ambiguous or out-of-distribution inputs. Gaussian Processes (GPs) are classical kernel-based models that offer principled uncertainty quantification and…

机器学习 · 统计学 2026-04-30 Albert Saiapin , Kim Batselier

While in-context learning (ICL) has achieved remarkable success in natural language and vision domains, its theoretical understanding-particularly in the context of structured geometric data-remains unexplored. This paper initiates a…

机器学习 · 计算机科学 2026-05-19 Zhaiming Shen , Alexander Hsu , Rongjie Lai , Wenjing Liao

The kernel trick is a widely applicable technique in machine learning domains that maps datasets that are difficult to classify into a computationally friendly feature space. As the dimension of the dataset scales, these kernel calculations…

量子物理 · 物理学 2025-12-15 Collin C. D. Frink , Chaoyang Ti , Stephen K. Gray , Xu Han , Matthew Otten

Probabilistic modeling of multidimensional spatiotemporal data is critical to many real-world applications. As real-world spatiotemporal data often exhibits complex dependencies that are nonstationary and nonseparable, developing effective…

机器学习 · 统计学 2023-06-01 Mengying Lei , Aurelie Labbe , Lijun Sun

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

统计计算 · 统计学 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

High-dimensional reinforcement learning(RL) faces challenges with complex calculations and low sample efficiency in large state-action spaces. Q-learning algorithms struggle particularly with the curse of dimensionality, where the number of…

机器学习 · 计算机科学 2026-04-09 Junyi Wu , Dan Li

Kernel methods map data into high-dimensional spaces, enabling linear algorithms to learn nonlinear functions without explicitly storing the feature vectors. Quantum kernel methods promise efficient learning by encoding feature maps into…

量子物理 · 物理学 2025-04-17 Vivek Sabarad , Vishal Varma , T. S. Mahesh

Ultrasonic metal welding (UMW) is a key joining technology with widespread industrial applications. Condition monitoring (CM) capabilities are critically needed in UMW applications because process anomalies significantly deteriorate the…

机器学习 · 计算机科学 2024-11-19 Ahmadreza Eslaminia , Yuquan Meng , Klara Nahrstedt , Chenhui Shao

Transfer learning refers to the process of adapting a model trained on a source task to a target task. While kernel methods are conceptually and computationally simple machine learning models that are competitive on a variety of tasks, it…

机器学习 · 计算机科学 2022-11-02 Adityanarayanan Radhakrishnan , Max Ruiz Luyten , Neha Prasad , Caroline Uhler

Medical image segmentation is a fundamental and critical step in many clinical approaches. Semi-supervised learning has been widely applied to medical image segmentation tasks since it alleviates the heavy burden of acquiring…

图像与视频处理 · 电气工程与系统科学 2022-08-29 Yichi Zhang , Rushi Jiao , Qingcheng Liao , Dongyang Li , Jicong Zhang

The Transformer-Kernel (TK) model has demonstrated strong reranking performance on the TREC Deep Learning benchmark -- and can be considered to be an efficient (but slightly less effective) alternative to other Transformer-based…

信息检索 · 计算机科学 2021-04-20 Bhaskar Mitra , Sebastian Hofstatter , Hamed Zamani , Nick Craswell

Multi-task learning (MTL) is a subfield of machine learning in which multiple tasks are simultaneously learned by a shared model. Such approaches offer advantages like improved data efficiency, reduced overfitting through shared…

机器学习 · 计算机科学 2020-09-22 Michael Crawshaw

Neural networks (NNs) are currently changing the computational paradigm on how to combine data with mathematical laws in physics and engineering in a profound way, tackling challenging inverse and ill-posed problems not solvable with…

机器学习 · 计算机科学 2023-02-08 Apostolos F Psaros , Xuhui Meng , Zongren Zou , Ling Guo , George Em Karniadakis

Uncertainty quantification in Large Language Models (LLMs) is crucial for applications where safety and reliability are important. In particular, uncertainty can be used to improve the trustworthiness of LLMs by detecting factually…

机器学习 · 计算机科学 2024-05-31 Alexander Nikitin , Jannik Kossen , Yarin Gal , Pekka Marttinen

In many problems of supervised tensor learning (STL), real world data such as face images or MRI scans are naturally represented as matrices, which are also called as second order tensors. Most existing classifiers based on tensor…

机器学习 · 统计学 2018-12-20 Yunfei Ye

In this paper, we propose TEDL, a two-stage learning approach to quantify uncertainty for deep learning models in classification tasks, inspired by our findings in experimenting with Evidential Deep Learning (EDL) method, a recently…

机器学习 · 计算机科学 2022-09-14 Xue Li , Wei Shen , Denis Charles

In this paper, we introduce a new image representation based on a multilayer kernel machine. Unlike traditional kernel methods where data representation is decoupled from the prediction task, we learn how to shape the kernel with…

机器学习 · 统计学 2016-10-26 Julien Mairal

Despite the recent progress towards efficient multiple kernel learning (MKL), the structured output case remains an open research front. Current approaches involve repeatedly solving a batch learning problem, which makes them inadequate for…

This paper presents a kernel-based discriminative learning framework on probability measures. Rather than relying on large collections of vectorial training examples, our framework learns using a collection of probability distributions that…

机器学习 · 统计学 2013-01-15 Krikamol Muandet , Kenji Fukumizu , Francesco Dinuzzo , Bernhard Schölkopf

Few-shot 3D semantic segmentation aims to generate accurate semantic masks for query point clouds with only a few annotated support examples. Existing prototype-based methods typically construct compact and deterministic prototypes from the…

计算机视觉与模式识别 · 计算机科学 2026-03-23 Yifei Zhao , Fanyu Zhao , Yinsheng Li