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Iterative refinement (IR) is a popular scheme for solving a linear system of equations based on gradually improving the accuracy of an initial approximation. Originally developed to improve upon the accuracy of Gaussian elimination,…

Numerical Analysis · Mathematics 2025-06-24 Chai Wah Wu , Mark S. Squillante , Vasileios Kalantzis , Lior Horesh

Retrieval-augmented generation (RAG) grounds large language models with external evidence, but under a limited context budget, the key challenge is deciding which retrieved passages should be injected. We show that retrieval relevance…

Computation and Language · Computer Science 2026-01-27 Zhipeng Song , Yizhi Zhou , Xiangyu Kong , Jiulong Jiao , Xinrui Bao , Xu You , Xueqing Shi , Yuhang Zhou , Heng Qi

Arguably the biggest challenge in applying neural networks is tuning the hyperparameters, in particular the learning rate. The sensitivity to the learning rate is due to the reliance on backpropagation to train the network. In this paper we…

Machine Learning · Statistics 2018-08-08 Francois Fagan , Garud Iyengar

In the age of music streaming platforms, the task of automatically tagging music audio has garnered significant attention, driving researchers to devise methods aimed at enhancing performance metrics on standard datasets. Most recent…

Sound · Computer Science 2024-02-26 Vassilis Lyberatos , Spyridon Kantarelis , Edmund Dervakos , Giorgos Stamou

Learning to generate neural network parameters conditioned on task descriptions and architecture specifications is pivotal for advancing model adaptability and transfer learning. Existing methods especially those based on diffusion models…

Machine Learning · Computer Science 2025-04-04 Soro Bedionita , Bruno Andreis , Song Chong , Sung Ju Hwang

A growing family of approaches to causal inference rely on Bayesian formulations of assumptions that go beyond causal graph structure. For example, Bayesian approaches have been developed for analyzing instrumental variable designs,…

Machine Learning · Computer Science 2022-11-01 Sam Witty , David Jensen , Vikash Mansinghka

Gradient boosted models are a fundamental machine learning technique. Robustness to small perturbations of the input is an important quality measure for machine learning models, but the literature lacks a method to prove the robustness of…

Machine Learning · Computer Science 2019-06-27 Gil Einziger , Maayan Goldstein , Yaniv Sa'ar , Itai Segall

We derive a decomposition for the gradient of the innovation loss with respect to the filter gain in a linear time-invariant system, decomposing as a product of an observability Gramian and a term quantifying the ``non-orthogonality"…

Optimization and Control · Mathematics 2025-07-23 M. A. Belabbas , A. Olshevsky

In many applications involving large dataset or online updating, stochastic gradient descent (SGD) provides a scalable way to compute parameter estimates and has gained increasing popularity due to its numerical convenience and memory…

Machine Learning · Statistics 2017-07-04 Yixin Fang , Jinfeng Xu , Lei Yang

While mechanistic interpretability tools like Sparse Autoencoders (SAEs) can uncover meaningful features within Large Language Models (LLMs), a critical gap remains in transforming these insights into practical actions for model…

Artificial Intelligence · Computer Science 2026-04-29 Ling Shi , Xinwei Wu , Xiaohu Zhao , Hao Wang , Heng Liu , Yangyang Liu , Linlong Xu , Longyue Wang , Deyi Xiong , Weihua Luo

Incremental gradient (IG) methods, such as stochastic gradient descent and its variants are commonly used for large scale optimization in machine learning. Despite the sustained effort to make IG methods more data-efficient, it remains an…

Machine Learning · Computer Science 2020-11-18 Baharan Mirzasoleiman , Jeff Bilmes , Jure Leskovec

Interpreting the decisions of complex computer vision models is crucial to establish trust and accountability, especially in safety-critical domains. An established approach to interpretability is generating visual attribution maps that…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 David Schinagl , Christian Fruhwirth-Reisinger , Alexander Prutsch , Samuel Schulter , Horst Possegger

Graphic design visually conveys information and data by creating and combining text, images and graphics. Two-stage methods that rely primarily on layout generation lack creativity and intelligence, making graphic design still…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Yadong Qu , Shancheng Fang , Yuxin Wang , Xiaorui Wang , Zhineng Chen , Hongtao Xie , Yongdong Zhang

Qualitative analysis is critical to understanding human datasets in many social science disciplines. A central method in this process is inductive coding, where researchers identify and interpret codes directly from the datasets themselves.…

Computation and Language · Computer Science 2026-04-21 John Chen , Alexandros Lotsos , Sihan Cheng , Caiyi Wang , Lexie Zhao , Yanjia Zhang , Jessica Hullman , Bruce Sherin , Uri Wilensky , Michael Horn

Epistemic uncertainty estimation is essential for identifying regions where deep learning system outputs may be unreliable. However, existing approaches require computationally expensive ensemble methods or multiple stochastic forward…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 William Stevens , Mohit Prabhushankar , Ghassan AlRegib

It is an important task to faithfully evaluate the perceptual quality of output images in many applications such as image compression, image restoration and multimedia streaming. A good image quality assessment (IQA) model should not only…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Wufeng Xue , Lei Zhang , Xuanqin Mou , Alan C. Bovik

Bayesian experimental design (BED) is to answer the question that how to choose designs that maximize the information gathering. For implicit models, where the likelihood is intractable but sampling is possible, conventional BED methods…

Machine Learning · Computer Science 2021-03-16 Jiaxin Zhang , Sirui Bi , Guannan Zhang

We propose a new algorithm for finite sum optimization which we call the curvature-aided incremental aggregated gradient (CIAG) method. Motivated by the problem of training a classifier for a d-dimensional problem, where the number of…

Machine Learning · Statistics 2017-10-26 Hoi-To Wai , Wei Shi , Angelia Nedic , Anna Scaglione

This paper considers optimization problems on Riemannian manifolds and analyzes iteration-complexity for gradient and subgradient methods on manifolds with non-negative curvature. By using tools from the Riemannian convex analysis and…

Numerical Analysis · Mathematics 2016-09-19 G. C. Bento , O. P. Ferreira , J. G. Melo

Though recent works have developed methods that can generate estimates (or imputations) of the missing entries in a dataset to facilitate downstream analysis, most depend on assumptions that may not align with real-world applications and…

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