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This paper presents an innovative approach to dimensionality reduction and feature extraction in high-dimensional datasets, with a specific application focus on wood surface defect detection. The proposed framework integrates sparse…

机器学习 · 计算机科学 2024-10-01 Harish Neelam , Koushik Sai Veerella , Souradip Biswas

Alignment of Large Language Models (LLMs) typically relies on Reinforcement Learning from Human Feedback (RLHF) with gradient-based optimizers such as Proximal Policy Optimization (PPO) or Group Relative Policy Optimization (GRPO). While…

A high-dimensional and incomplete (HDI) matrix frequently appears in various big-data-related applications, which demonstrates the inherently non-negative interactions among numerous nodes. A non-negative latent factor (NLF) model performs…

机器学习 · 计算机科学 2022-10-25 Ye Yuan , Xin Luo

Scientific measurements are often bottlenecked by suboptimal conditions, whether that be noise, incomplete spatial coverage, or limited resolution, rendering accurate field reconstruction a difficult task. We introduce LatentPDE, a latent…

机器学习 · 计算机科学 2026-04-28 Valerie Tsao , Nathaniel Chaney , Manolis Veveakis

High-Dimensional and Incomplete (HDI) data is commonly encountered in big data-related applications like social network services systems, which are concerning the limited interactions among numerous nodes. Knowledge acquisition from HDI…

人工智能 · 计算机科学 2023-09-20 Yurong Zhong , Zhe Xie , Weiling Li , Xin Luo

Neuroscience is experiencing a data revolution in which many hundreds or thousands of neurons are recorded simultaneously. Currently, there is little consensus on how such data should be analyzed. Here we introduce LFADS (Latent Factor…

机器学习 · 计算机科学 2016-08-24 David Sussillo , Rafal Jozefowicz , L. F. Abbott , Chethan Pandarinath

In this work, we develop a scalable approach for a flexible latent factor model for high-dimensional dynamical systems. Each latent factor process has its own correlation and variance parameters, and the orthogonal factor loading matrix can…

统计计算 · 统计学 2025-06-23 Yizi Lin , Xubo Liu , Paul Segall , Mengyang Gu

In this paper, we study the (decentralized) distributed optimization problem with high-dimensional sparse structure. Building upon the FedDA algorithm, we propose a (Decentralized) FedDA-GT algorithm, which combines the \textbf{gradient…

最优化与控制 · 数学 2023-12-12 Jiadong Liang , Yang Peng , Zhihua Zhang

Automated analysis of complex systems based on multiple readouts remains a challenge. Change point detection algorithms are aimed to locating abrupt changes in the time series behaviour of a process. In this paper, we present a novel change…

机器学习 · 计算机科学 2023-10-05 Artem Ryzhikov , Mikhail Hushchyn , Denis Derkach

The recent developments of Diffusion Models (DMs) enable generation of astonishingly high-quality synthetic samples. Recent work showed that the synthetic samples generated by the diffusion model, which is pre-trained on public data and…

机器学习 · 计算机科学 2024-06-11 Jing Liu , Andrew Lowy , Toshiaki Koike-Akino , Kieran Parsons , Ye Wang

This paper is concerned with high-dimensional panel data models where the number of regressors can be much larger than the sample size. Under the assumption that the true parameter vector is sparse we propose a panel-Lasso estimator and…

统计理论 · 数学 2014-02-14 Anders Bredahl Kock

High-dimensional portfolio optimization faces significant computational challenges under complex constraints, with traditional optimization methods struggling to balance convergence speed and global exploration capability. To address this,…

神经与进化计算 · 计算机科学 2026-04-06 Mingyang Yu , Jiaqi Zhang , Haorui Yang , Adam Slowik , Jun Zhang , Jing Xu

The capabilities of Large Language Models (LLMs) are limited to some extent by pre-training, so some researchers optimize LLMs through post-training. Existing post-training strategies, such as memory-based retrieval or preference…

计算与语言 · 计算机科学 2025-07-22 Haoran Sun , Zekun Zhang , Shaoning Zeng

An efficient way to learn deep density models that have many layers of latent variables is to learn one layer at a time using a model that has only one layer of latent variables. After learning each layer, samples from the posterior…

机器学习 · 计算机科学 2012-06-22 Yichuan Tang , Ruslan Salakhutdinov , Geoffrey Hinton

Stochastic gradient descent (SGD) is a fundamental optimization algorithm widely used in modern machine learning. In this paper, we propose Factor-Augmented SGD (FSGD), a new optimization method that leverages latent factor representations…

机器学习 · 统计学 2026-05-20 Shubo Li , Yuefeng Han , Xiufan Yu

We propose a novel framework, Continuous_Time Attention, which infuses partial differential equations (PDEs) into the Transformer's attention mechanism to address the challenges of extremely long input sequences. Instead of relying solely…

机器学习 · 计算机科学 2025-12-30 Yukun Zhang , Xueqing Zhou

This work studies the theoretical rules of feature selection in linear discriminant analysis (LDA), and a new feature selection method is proposed for sparse linear discriminant analysis. An $l_1$ minimization method is used to select the…

统计方法学 · 统计学 2013-04-23 Cheng Wang , Longbing Cao , Baiqi Miao

The efficient representation of random fields on geometrically complex domains is crucial for Bayesian modelling in engineering and machine learning. Today's prevalent random field representations are either intended for unbounded domains…

数值分析 · 数学 2023-09-06 Kim Jie Koh , Fehmi Cirak

The latent class model is a widely used mixture model for multivariate discrete data. Besides the existence of qualitatively heterogeneous latent classes, real data often exhibit additional quantitative heterogeneity nested within each…

统计方法学 · 统计学 2025-01-23 Zhongyuan Lyu , Ling Chen , Yuqi Gu

This paper investigates the robust linear discriminant analysis (LDA) problem with elliptical distributions in high-dimensional data. We propose a robust classification method, named SSLDA, that is intended to withstand heavy-tailed…

统计方法学 · 统计学 2025-04-16 Dan Zhuang , Long Feng