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To make informed decisions in natural environments that change over time, humans must update their beliefs as new observations are gathered. Studies exploring human inference as a dynamical process that unfolds in time have focused on…

神经元与认知 · 定量生物学 2022-03-03 Arthur Prat-Carrabin , Robert C. Wilson , Jonathan D. Cohen , Rava Azeredo da Silveira

We introduce a novel segmental-attention model for automatic speech recognition. We restrict the decoder attention to segments to avoid quadratic runtime of global attention, better generalize to long sequences, and eventually enable…

计算与语言 · 计算机科学 2022-10-27 Albert Zeyer , Robin Schmitt , Wei Zhou , Ralf Schlüter , Hermann Ney

Many different approaches for estimating the Interaction Quality (IQ) of Spoken Dialogue Systems have been investigated. While dialogues clearly have a sequential nature, statistical classification approaches designed for sequential…

人机交互 · 计算机科学 2016-04-08 Stefan Ultes , Alexander Schmitt , Wolfgang Minker

Enhancement of the predictive power and robustness of nonlinear population dynamics models allows ecologists to make more reliable forecasts about species' long term survival. However, the limited availability of detailed ecological data,…

斑图形成与孤子 · 物理学 2025-04-18 Indrajyoti Gaine , Malay Banerjee

Visual attention mechanisms have proven to be integrally important constituent components of many modern deep neural architectures. They provide an efficient and effective way to utilize visual information selectively, which has shown to be…

计算机视觉与模式识别 · 计算机科学 2019-05-24 Siddhesh Khandelwal , Leonid Sigal

We use the two-time scale subordination in order to describe dynamical processes in continuous media with a long-term memory. Our consideration touches two physical examples in detail. First we study a temporal evolution of the species…

统计力学 · 物理学 2011-11-15 Aleksander Stanislavsky , Karina Weron

We develop a framework to track the structure of temporal networks with a signal processing approach. The method is based on the duality between networks and signals using a multidimensional scaling technique. This enables a study of the…

社会与信息网络 · 计算机科学 2015-05-13 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

We study the long time behavior (homogenization) of a diffusion in random medium with time and space dependent coefficients. The diffusion coefficient may degenerate. In Stochastic Process. Appl. (2007) (to appear), an invariance principle…

概率论 · 数学 2008-08-26 Rémi Rhodes

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

统计方法学 · 统计学 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

We propose a novel framework for learning time-varying graphs from spatiotemporal measurements. Given an appropriate prior on the temporal behavior of signals, our proposed method can estimate time-varying graphs from a small number of…

信号处理 · 电气工程与系统科学 2025-09-10 Haruki Yokota , Koki Yamada , Yuichi Tanaka , Antonio Ortega

The temporal statistics exhibited by written correspondence appear to be media dependent, with features which have so far proven difficult to characterize. We explain the origin of these difficulties by disentangling the role of spontaneous…

物理与社会 · 物理学 2015-06-17 M. Formentin , A. Lovison , A. Maritan , G. Zanzotto

The growing interest in complex decision-making and language modeling problems highlights the importance of sample-efficient learning over very long horizons. This work takes a step in this direction by investigating contextual linear…

机器学习 · 计算机科学 2023-02-07 Yuzhen Qin , Yingcong Li , Fabio Pasqualetti , Maryam Fazel , Samet Oymak

Recent analyses combining advanced theoretical techniques and high-quality data from thousands of simultaneously recorded neurons provide strong support for the hypothesis that neural dynamics operate near the edge of instability across…

神经元与认知 · 定量生物学 2024-03-25 Rubén Calvo , Carles Martorell , Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

In this paper we introduce the concept of random time changes in dynamical systems. The subordination principle may be applied to study the long time behavior of the random time systems. We show, under certain assumptions on the class of…

动力系统 · 数学 2021-01-01 José Luís da Silva , Yuri Kondratiev

We study the correlations of time delays in a model of chaotic resonance scattering based on the random matrix approach. Analytical formulae which are valid for arbitrary number of open channels and arbitrary coupling strength between…

chao-dyn · 物理学 2015-06-24 N. Lehmann , D. V. Savin , V. V. Sokolov , H. -J. Sommers

The capacity to filter out irrelevant information from our environment is critical to efficient processing. Yet, during development, when building a knowledge base of the world is occurring, the ability to selectively allocate attentional…

神经元与认知 · 定量生物学 2018-09-27 Audrey M. B. Wong-Kee-You , John K. Tsotsos , Scott A. Adler

Transformers have proven highly effective across modalities, but standard softmax attention scales quadratically with sequence length, limiting long context modeling. Linear attention mitigates this by approximating attention with kernel…

机器学习 · 计算机科学 2026-02-10 Ashkan Shahbazi , Chayne Thrash , Yikun Bai , Keaton Hamm , Navid NaderiAlizadeh , Soheil Kolouri

Pathways of diffusion observed in real-world systems often require stochastic processes going beyond first-order Markov models, as implicitly assumed in network theory. In this work, we focus on second-order Markov models, and derive an…

物理与社会 · 物理学 2014-01-03 Renaud Lambiotte , Vsevolod Salnikov , Martin Rosvall

In this paper, we present the Sub-Adjacent Transformer with a novel attention mechanism for unsupervised time series anomaly detection. Unlike previous approaches that rely on all the points within some neighborhood for time point…

机器学习 · 计算机科学 2024-05-01 Wenzhen Yue , Xianghua Ying , Ruohao Guo , DongDong Chen , Ji Shi , Bowei Xing , Yuqing Zhu , Taiyan Chen

We consider the statistics of time delay in a chaotic cavity having $M$ open channels, in the absence of time-reversal invariance. In the random matrix theory approach, we compute the average value of polynomial functions of the time delay…

混沌动力学 · 物理学 2015-07-21 Marcel Novaes