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Deep Gaussian Processes (DGP) are hierarchical generalizations of Gaussian Processes (GP) that have proven to work effectively on a multiple supervised regression tasks. They combine the well calibrated uncertainty estimates of GPs with the…

Pretrained encoders for mathematical texts have achieved significant improvements on various tasks such as formula classification and information retrieval. Yet they remain limited in representing and capturing student strategies for entire…

计算机与社会 · 计算机科学 2026-04-13 Siddhartha Pradhan , Ethan Prihar , Erin Ottmar

We propose expected policy gradients (EPG), which unify stochastic policy gradients (SPG) and deterministic policy gradients (DPG) for reinforcement learning. Inspired by expected sarsa, EPG integrates (or sums) across actions when…

机器学习 · 统计学 2020-05-05 Kamil Ciosek , Shimon Whiteson

Deep learning models struggle with compositional generalization, i.e. the ability to recognize or generate novel combinations of observed elementary concepts. In hopes of enabling compositional generalization, various unsupervised learning…

机器学习 · 计算机科学 2022-10-07 Zhenlin Xu , Marc Niethammer , Colin Raffel

The canonical polyadic decomposition (CPD) is a compact decomposition which expresses a tensor as a sum of its rank-1 components. A common step in the computation of a CPD is computing a generalized eigenvalue decomposition (GEVD) of the…

数值分析 · 数学 2021-12-16 Eric Evert , Michiel Vandecappelle , Lieven De Lathauwer

In this paper, we consider the linear programming (LP) formulation for deep reinforcement learning. The number of the constraints depends on the size of state and action spaces, which makes the problem intractable in large or continuous…

最优化与控制 · 数学 2021-05-21 Yongfeng Li , Mingming Zhao , Weijie Chen , Zaiwen Wen

Motivation: Biomedical studies increasingly produce multi-view high-dimensional datasets (e.g., multi-omics) that demand integrative analysis. Existing canonical correlation analysis (CCA) and generalized CCA methods address at most two of…

机器学习 · 统计学 2025-02-27 Rong Wu , Ziqi Chen , Gen Li , Hai Shu

This paper proposes a novel multimodal self-supervised architecture for energy-efficient audio-visual (AV) speech enhancement that integrates Graph Neural Networks with canonical correlation analysis (CCA-GNN). The proposed approach lays…

Regularized generalized canonical correlation analysis (RGCCA) is a generalization of regularized canonical correlation analysis to three or more sets of variables, which is a component-based approach aiming to study the relationships…

统计理论 · 数学 2025-03-21 Kuo-Yue Li , Qi-Ye Zhang , Yong-Han Sun

The vast applications of deep generative models are anchored in three core capabilities -- generating new instances, reconstructing inputs, and learning compact representations -- across various data types, such as discrete text/protein…

Background: The integration and analysis of multi-modal data are increasingly essential across various domains including bioinformatics. As the volume and complexity of such data grow, there is a pressing need for computational models that…

机器学习 · 统计学 2025-04-17 Tianjian Yang , Wei Vivian Li

Bioimage classification plays a crucial role in many biological problems. In this work, we present a new General Purpose (GenP) ensemble that boosts performance by combining local features, dense sampling features, and deep learning…

计算机视觉与模式识别 · 计算机科学 2021-07-07 L. Nanni , S. Brahnam , S. Ghidoni , G. Maguolo

Gaussian Processes (GPs) are known to provide accurate predictions and uncertainty estimates even with small amounts of labeled data by capturing similarity between data points through their kernel function. However traditional GP kernels…

机器学习 · 计算机科学 2021-11-16 Ankur Mallick , Chaitanya Dwivedi , Bhavya Kailkhura , Gauri Joshi , T. Yong-Jin Han

The successes of modern deep machine learning methods are founded on their ability to transform inputs across multiple layers to build good high-level representations. It is therefore critical to understand this process of representation…

机器学习 · 统计学 2023-05-26 Adam X. Yang , Maxime Robeyns , Edward Milsom , Ben Anson , Nandi Schoots , Laurence Aitchison

Deep Learning Gaussian Processes (DL-GP) are proposed as a methodology for analyzing (approximating) computer models that produce heteroskedastic and high-dimensional output. Computer simulation models have many areas of applications,…

应用统计 · 统计学 2022-09-07 Laura Schultz , Vadim Sokolov

Entity resolution targets at identifying records that represent the same real-world entity from one or more datasets. A major challenge in learning-based entity resolution is how to reduce the label cost for training. Due to the quadratic…

机器学习 · 计算机科学 2020-12-21 Jingyu Shao , Qing Wang , Asiri Wijesinghe , Erhard Rahm

Despite the widespread utilization of Gaussian process models for versatile nonparametric modeling, they exhibit limitations in effectively capturing abrupt changes in function smoothness and accommodating relationships with heteroscedastic…

机器学习 · 统计学 2023-09-01 Taehee Lee , Jun S. Liu

Data-driven discovery of governing equations is of great significance for helping us understand intrinsic mechanisms and build physical models. Recently, numerous highly innovative algorithms have emerged, aimed at inversely discovering the…

数据分析、统计与概率 · 物理学 2024-03-29 Wenjun Ma , Jun Zhang , Kaikai Feng , Haoyun Xing , Dongsheng Wen

This paper introduces a novel family of generalized exponentiated gradient (EG) updates derived from an Alpha-Beta divergence regularization function. Collectively referred to as EGAB, the proposed updates belong to the category of…

机器学习 · 计算机科学 2024-12-30 Andrzej Cichocki , Sergio Cruces , Auxiliadora Sarmiento , Toshihisa Tanaka

For a linear system, the response to a stimulus is often superposed by its responses to other decomposed stimuli. In quantum mechanics, a state is the superposition of multiple eigenstates. Here, by taking advantage of the phase difference,…

机器学习 · 计算机科学 2020-04-06 Chen Miao , Shaohua Ma