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To maximize hardware utilization, modern machine learning systems typically employ large constant or manually tuned batch size schedules, relying on heuristics that are brittle and costly to tune. Existing adaptive strategies based on…

3D Gaussian Splatting (3DGS) has attracted great attention in novel view synthesis because of its superior rendering efficiency and high fidelity. However, the trained Gaussians suffer from severe zooming degradation due to non-adjustable…

计算机视觉与模式识别 · 计算机科学 2024-08-13 Jiameng Li , Yue Shi , Jiezhang Cao , Bingbing Ni , Wenjun Zhang , Kai Zhang , Luc Van Gool

We present the MDS feature learning framework, in which multidimensional scaling (MDS) is applied on high-level pairwise image distances to learn fixed-length vector representations of images. The aspects of the images that are captured by…

计算机视觉与模式识别 · 计算机科学 2013-06-17 Quan Wang , Kim L. Boyer

Gini distance correlation (GDC) was recently proposed to measure the dependence between a categorical variable, Y, and a numerical random vector, X. It mutually characterizes independence between X and Y. In this article, we utilize the GDC…

统计方法学 · 统计学 2023-04-19 Yongli Sang , Xin Dang

Subsurface datasets inherently possess big data characteristics such as vast volume, diverse features, and high sampling speeds, further compounded by the curse of dimensionality from various physical, engineering, and geological inputs.…

机器学习 · 计算机科学 2024-03-13 Ademide O. Mabadeje , Michael J. Pyrcz

The increasing use of multiple sensors, which produce a large amount of multi-dimensional data, requires efficient representation and classification methods. In this paper, we present a new method for multi-dimensional data classification…

We develop a multidimensional version of Gradient-MUSIC for estimating the frequencies of a nonharmonic signal from noisy samples. The guiding principle is that frequency recovery should be based only on the signal subspace determined by…

最优化与控制 · 数学 2026-03-31 Albert Fannjiang , Weilin Li

The human brain distinguishes speech sounds by mapping acoustic signals into a latent perceptual space. This space can be estimated via multidimensional scaling (MDS), preserving the similarity structure in lower dimensions. However,…

统计方法学 · 统计学 2025-07-29 Giovanni Rebaudo , Fernando Llanos , Bharath Chandrasekaran , Abhra Sarkar

Although deep learning models have taken on commercial and political relevance, key aspects of their training and operation remain poorly understood. This has sparked interest in science of deep learning projects, many of which require…

机器学习 · 计算机科学 2024-06-06 Sam Greydanus , Dmitry Kobak

Classical multidimensional scaling (CMDS) is a technique that embeds a set of objects in a Euclidean space given their pairwise Euclidean distances. The main part of CMDS involves double centering a squared distance matrix and using a…

谱理论 · 数学 2024-08-01 Samuel Lichtenberg , Abiy Tasissa

Multidimensional scaling (MDS) is widely used to reconstruct a low-dimensional representation of high-dimensional data while preserving pairwise distances. However, Bayesian MDS approaches based on Markov chain Monte Carlo (MCMC) face…

统计方法学 · 统计学 2026-02-26 Jiarui Zhang , Jiguo Cao , Liangliang Wang

Multimodal deep learning methods capture synergistic features from multiple modalities and have the potential to improve accuracy for stress detection compared to unimodal methods. However, this accuracy gain typically comes from high…

计算机视觉与模式识别 · 计算机科学 2024-03-14 Morteza Bodaghi , Majid Hosseini , Raju Gottumukkala

The emergence of 3D Gaussian Splatting (3D-GS) has significantly advanced 3D reconstruction by providing high fidelity and fast training speeds across various scenarios. While recent efforts have mainly focused on improving model structures…

图形学 · 计算机科学 2025-03-07 Yifei Gao , Jun Huang , Lei Wang , Ruiting Dai , Jun Cheng

Differentially Private Stochastic Gradient Descent (DP-SGD) has become a widely used technique for safeguarding sensitive information in deep learning applications. Unfortunately, DPSGD's per-sample gradient clipping and uniform noise…

The Gini index is a widely reported measure of income inequality. In some settings, the underlying data used to compute the Gini index are confidential. The organization charged with reporting the Gini index may be concerned that its…

统计方法学 · 统计学 2025-11-26 Wenjie Lan , Jerome P. Reiter

Embeddings in machine learning are low-dimensional representations of complex input patterns, with the property that simple geometric operations like Euclidean distances and dot products can be used for classification and comparison tasks.…

机器学习 · 统计学 2018-02-28 Niko Brummer , Anna Silnova , Lukas Burget , Themos Stafylakis

Differentially private SGD (DP-SGD) is one of the most popular methods for solving differentially private empirical risk minimization (ERM). Due to its noisy perturbation on each gradient update, the error rate of DP-SGD scales with the…

机器学习 · 计算机科学 2021-04-27 Yingxue Zhou , Zhiwei Steven Wu , Arindam Banerjee

Cyber-security garnered significant attention due to the increased dependency of individuals and organizations on the Internet and their concern about the security and privacy of their online activities. Several previous machine learning…

密码学与安全 · 计算机科学 2020-08-11 MohammadNoor Injadat , Abdallah Moubayed , Ali Bou Nassif , Abdallah Shami

This article introduces a functional method for lower-dimensional smooth representations in terms of time-varying dissimilarities. The method incorporates dissimilarity representation in multidimensional scaling and smoothness approach of…

统计方法学 · 统计学 2025-05-02 Liting Li

In this manuscript, we propose an efficient manifold denoiser based on landmark diffusion and optimal shrinkage under the complicated high dimensional noise and compact manifold setup. It is flexible to handle several setups, including the…

机器学习 · 统计学 2024-01-09 Hau-Tieng Wu