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Multivariate measurements taken at different spatial locations occur frequently in practice. Proper analysis of such data needs to consider not only dependencies on-sight but also dependencies in and in-between variables as a function of…

统计方法学 · 统计学 2024-04-12 Christoph Muehlmann , Peter Filzmoser , Klaus Nordhausen

Long Short-Term Memory (LSTM) is one of the most powerful sequence models. Despite the strong performance, however, it lacks the nice interpretability as in state space models. In this paper, we present a way to combine the best of both…

机器学习 · 计算机科学 2017-12-04 Xun Zheng , Manzil Zaheer , Amr Ahmed , Yuan Wang , Eric P Xing , Alexander J Smola

Probabilistic graphical models (PGMs) are widely used to discover latent structure in data, but their success hinges on selecting an appropriate model design. In practice, model specification is difficult and often requires iterative…

机器学习 · 计算机科学 2026-04-08 Kevin Zhang , Yixin Wang

Equivariant neural networks require explicit knowledge of the symmetry group. Automatic symmetry discovery methods aim to relax this constraint and learn invariance and equivariance from data. However, existing symmetry discovery methods…

机器学习 · 计算机科学 2024-08-14 Jianke Yang , Nima Dehmamy , Robin Walters , Rose Yu

Estimating 3D human pose from a single image suffers from severe ambiguity since multiple 3D joint configurations may have the same 2D projection. The state-of-the-art methods often rely on context modeling methods such as pictorial…

计算机视觉与模式识别 · 计算机科学 2021-03-31 Xiaoxuan Ma , Jiajun Su , Chunyu Wang , Hai Ci , Yizhou Wang

Undirected graphical models are widely used in statistics, physics and machine vision. However Bayesian parameter estimation for undirected models is extremely challenging, since evaluation of the posterior typically involves the…

统计计算 · 统计学 2012-03-19 Richard G. Everitt

Longitudinal data are important in numerous fields, such as healthcare, sociology and seismology, but real-world datasets present notable challenges for practitioners because they can be high-dimensional, contain structured missingness…

机器学习 · 计算机科学 2024-07-01 Maksim Sinelnikov , Manuel Haussmann , Harri Lähdesmäki

Many kinds of data can be represented as a network or graph. It is crucial to infer the latent structure underlying such a network and to predict unobserved links in the network. Mixed Membership Stochastic Blockmodel (MMSB) is a promising…

社会与信息网络 · 计算机科学 2013-12-10 Tomoki Kobayashi , Koji Eguchi

In Coevolving Latent Space Networks with Attractors (CLSNA) models, nodes in a latent space represent social actors, and edges indicate their dynamic interactions. Attractors are added at the latent level to capture the notion of attractive…

Pairwise network comparison is essential for various applications, including neuroscience, disease research, and dynamic network analysis. While existing literature primarily focuses on comparing entire network structures, we address a…

统计方法学 · 统计学 2025-10-21 Runbing Zheng

Large language models(LLM) are pre-trained on extensive corpora to learn facts and human cognition which contain human preferences. However, this process can inadvertently lead to these models acquiring biases and stereotypes prevalent in…

计算与语言 · 计算机科学 2024-03-22 Yuchen Cai , Ding Cao , Rongxi Guo , Yaqin Wen , Guiquan Liu , Enhong Chen

This paper proposes a fast and accurate method for sparse regression in the presence of missing data. The underlying statistical model encapsulates the low-dimensional structure of the incomplete data matrix and the sparsity of the…

机器学习 · 统计学 2015-03-31 Ravi Ganti , Rebecca M. Willett

Many modern time-series datasets contain large numbers of output response variables sampled for prolonged periods of time. For example, in neuroscience, the activities of 100s-1000's of neurons are recorded during behaviors and in response…

机器学习 · 计算机科学 2022-03-15 Rui Meng , Kristofer Bouchard

As enjoying the closed form solution, least squares support vector machine (LSSVM) has been widely used for classification and regression problems having the comparable performance with other types of SVMs. However, LSSVM has two drawbacks:…

机器学习 · 计算机科学 2017-02-08 Li Chen , Shuisheng Zhou

The classical functional linear regression model (FLM) and its extensions, which are based on the assumption that all individuals are mutually independent, have been well studied and are used by many researchers. This independence…

统计计算 · 统计学 2018-11-02 Tingting Huang , Gilbert Saporta , Huiwen Wang , Shanshan Wang

This paper investigates the double descent phenomenon in two-layer neural networks, focusing on the role of L1 regularization and representation dimensions. It explores an alternative double descent phenomenon, named sparse double descent.…

机器学习 · 计算机科学 2024-01-22 Ya Shi Zhang

State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

最优化与控制 · 数学 2016-12-22 Ketan Rajawat , Sandeep Kumar

In this article, a large dimensional performance analysis of kernel least squares support vector machines (LS-SVMs) is provided under the assumption of a two-class Gaussian mixture model for the input data. Building upon recent advances in…

机器学习 · 统计学 2021-03-18 Zhenyu Liao , Romain Couillet

Network data are increasingly common in the social sciences and infectious disease epidemiology. Analyses often link network structure to node-level covariates, but existing methods falter with sparse networks and high-dimensional node…

统计方法学 · 统计学 2026-02-05 Emma G Crenshaw , Yuhua Zhang , Jukka-Pekka Onnela