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We consider the estimation of large covariance and precision matrices from high-dimensional sub-Gaussian or heavier-tailed observations with slowly decaying temporal dependence. The temporal dependence is allowed to be long-range so with…

统计理论 · 数学 2019-12-23 Hai Shu , Bin Nan

Spatiotemporal gene expression data of the human brain offer insights on the spa- tial and temporal patterns of gene regulation during brain development. Most existing methods for analyzing these data consider spatial and temporal profiles…

统计方法学 · 统计学 2017-02-27 Tianqi Liu , Ming Yuan , Hongyu Zhao

Traffic time series forecasting is challenging due to complex spatio-temporal dynamics time series from different locations often have distinct patterns; and for the same time series, patterns may vary across time, where, for example, there…

机器学习 · 计算机科学 2022-04-06 Razvan-Gabriel Cirstea , Bin Yang , Chenjuan Guo , Tung Kieu , Shirui Pan

We study the problem of modeling and inference for spatio-temporal count processes. Our approach uses parsimonious parameterisations of multivariate autoregressive count time series models, including possible regression on covariates. We…

统计方法学 · 统计学 2024-11-14 Steffen Maletz , Konstantinos Fokianos , Roland Fried

This paper investigates the modeling of an important class of degradation data, which are collected from a spatial domain over time; for example, the surface quality degradation. Like many existing time-dependent stochastic degradation…

统计方法学 · 统计学 2017-12-29 Xiao Liu , Kyongmin Yeo , Jayant Kalagnanam

User interests are usually dynamic in the real world, which poses both theoretical and practical challenges for learning accurate preferences from rich behavior data. Among existing user behavior modeling solutions, attention networks are…

信息检索 · 计算机科学 2022-04-14 Chao Chen , Haoyu Geng , Nianzu Yang , Junchi Yan , Daiyue Xue , Jianping Yu , Xiaokang Yang

We investigate theoretically the effect of spatial attention on the contrast-response function (CRF) and orientation-tuning curves in early visual areas.We look at a model of a hypercolumn developed recently (Persi et al., 2008), that…

神经元与认知 · 定量生物学 2008-06-26 Erez Persi

Stochastic process models for spatiotemporal data underlying random fields find substantial utility in a range of scientific disciplines. Subsequent to predictive inference on the values of the random field (or spatial surface indexed…

统计方法学 · 统计学 2024-07-26 Aritra Halder , Didong Li , Sudipto Banerjee

This paper studies the error metric selection for long-term memory learning in sequence modelling. We examine the bias towards short-term memory in commonly used errors, including mean absolute/squared error. Our findings show that all…

机器学习 · 计算机科学 2023-07-24 Shida Wang , Zhanglu Yan

Recency bias is a useful inductive prior for sequential modeling: it emphasizes nearby observations and can still allow longer-range dependencies. Standard Transformer attention lacks this property, relying on all-to-all interactions that…

机器学习 · 计算机科学 2026-04-23 Kareem Hegazy , Michael W. Mahoney , N. Benjamin Erichson

Estimating time-varying correlation matrices is challenging because existing methods may adapt slowly to structural changes, impose insufficient regularization, or produce diffuse posterior uncertainty. In moderate dimensions, an additional…

统计方法学 · 统计学 2026-05-11 Daniel Andrew Coulson , David S. Matteson , Martin T. Wells

A cornerstone of human statistical learning is the ability to extract temporal regularities / patterns from random sequences. Here we present a method of computing pattern time statistics with generating functions for first-order Markov…

神经元与认知 · 定量生物学 2018-06-29 Yanlong Sun , Hongbin Wang

Despite the prevalence of the attention sink phenomenon in Large Language Models (LLMs), where initial tokens disproportionately monopolize attention scores, its structural origins remain elusive. This work provides a \textit{mechanistic…

机器学习 · 计算机科学 2026-05-08 Siquan Li , Kaiqi Jiang , Jiacheng Sun , Tianyang Hu

Many state-of-the-art systems for audio tagging and sound event detection employ convolutional recurrent neural architectures. Typically, they are trained in a mean teacher setting to deal with the heterogeneous annotation of the available…

音频与语音处理 · 电气工程与系统科学 2022-09-28 Wim Boes , Hugo Van hamme

Attention modules, as simple and effective tools, have not only enabled deep neural networks to achieve state-of-the-art results in many domains, but also enhanced their interpretability. Most current models use deterministic attention…

机器学习 · 统计学 2020-10-22 Xinjie Fan , Shujian Zhang , Bo Chen , Mingyuan Zhou

Spatiotemporal forecasting of traffic flow data represents a typical problem in the field of machine learning, impacting urban traffic management systems. In general, spatiotemporal forecasting problems involve complex interactions,…

Predicting users' preferences based on their sequential behaviors in history is challenging and crucial for modern recommender systems. Most existing sequential recommendation algorithms focus on transitional structure among the sequential…

信息检索 · 计算机科学 2020-02-06 Jibang Wu , Renqin Cai , Hongning Wang

The self-attention mechanism is central to the success of Transformer architectures. However, standard row-stochastic attention has been shown to suffer from significant signal degradation across layers. In particular, it can induce rank…

机器学习 · 计算机科学 2026-04-10 Michela Lapenna , Rita Fioresi , Bahman Gharesifard

We investigate attention as the active pursuit of useful information. This contrasts with attention as a mechanism for the attenuation of irrelevant information. We also consider the role of short-term memory, whose use is critical to any…

机器学习 · 计算机科学 2015-11-02 Philip Bachman , David Krueger , Doina Precup

Perceptual judgments of sequential stimuli are systematically biased by prior expectations and by the temporal structure of sensory input. In haptic discrimination tasks, these effects often manifest as time-order asymmetries, whereby the…

神经元与认知 · 定量生物学 2026-04-22 Gastón Avetta , Jose Lobera , Juan José Zárate , Inés Samengo , Damián G. Hernández