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Spectral embedding based on the Singular Value Decomposition (SVD) is a widely used "preprocessing" step in many learning tasks, typically leading to dimensionality reduction by projecting onto a number of dominant singular vectors and…

机器学习 · 统计学 2015-09-29 Dinesh Ramasamy , Upamanyu Madhow

Learning continuous-time stochastic dynamics is a fundamental and essential problem in modeling sporadic time series, whose observations are irregular and sparse in both time and dimension. For a given system whose latent states and…

机器学习 · 计算机科学 2021-04-30 Yingru Liu , Yucheng Xing , Xuewen Yang , Xin Wang , Jing Shi , Di Jin , Zhaoyue Chen

Many random processes can be simulated as the output of a deterministic model accepting random inputs. Such a model usually describes a complex mathematical or physical stochastic system and the randomness is introduced in the input…

机器学习 · 统计学 2012-11-21 A. Gokcen Mahmutoglu , Alper T. Erdogan , Alper Demir

In this article we propose an extension of singular spectrum analysis for interval-valued time series. The proposed methods can be used to decompose and forecast the dynamics governing a set-valued stochastic process. The resulting…

统计方法学 · 统计学 2020-11-10 Miguel de Carvalho , Gabriel Martos

Metric graphs are structures obtained by associating edges in a standard graph with segments of the real line and gluing these segments at the vertices of the graph. The resulting structure has a natural metric that allows for the study of…

数值分析 · 数学 2025-12-03 Rajat Vadiraj Dwaraknath , Lexing Ying

In massive multiple-input multiple-output (MIMO) systems, the knowledge of the users' channel covariance matrix is crucial for minimum mean square error (MMSE) channel estimation in the uplink as well as it plays an important role in…

信息论 · 计算机科学 2022-06-07 Tianyu Yang , Mahdi Barzegar Khalilsarai , Saeid Haghighatshoar , Giuseppe Caire

We develop a stochastic algorithm for independent component analysis that incorporates multi-trial supervision, which is available in many scientific contexts. The method blends a proximal gradient-type algorithm in the space of invertible…

机器学习 · 计算机科学 2025-08-29 Ronak Mehta , Mateus Piovezan Otto , Noah Stanis , Azadeh Yazdan-Shahmorad , Zaid Harchaoui

This work considers a spatial non-stationary channel tracking problem in broadband extremely large-scale multiple-input-multiple-output (XL-MIMO) systems. In the case of spatial non-stationary, each scatterer has a certain visibility region…

信号处理 · 电气工程与系统科学 2025-04-01 Wenkang Xu , An Liu , Min-jian Zhao , Giuseppe Caire , Yik-Chung Wu

In this work, a novel data-based stochastic global identification framework is introduced for air vehicles operating under varying flight states and uncertainty. In this context, the term global refers to the identification of a model that…

系统与控制 · 计算机科学 2021-01-28 Fotis Kopsaftopoulos , Raphael Nardari , Yu-Hung Li , Fu-Kuo Chang

Sequential Monte Carlo methods are a powerful framework for approximating the posterior distribution of a state variable in a sequential manner. They provide an attractive way of analyzing dynamic systems in real-time, taking into account…

种群与进化 · 定量生物学 2024-08-29 Dhorasso Temfack , Jason Wyse

Networks or graphs can easily represent a diverse set of data sources that are characterized by interacting units or actors. Social networks, representing people who communicate with each other, are one example. Communities or clusters of…

机器学习 · 统计学 2011-12-14 Karl Rohe , Sourav Chatterjee , Bin Yu

The experimental study of neural networks requires simultaneous measurements of a massive number of neurons, while monitoring properties of the connectivity, synaptic strengths and delays. Current technological barriers make such a mission…

神经元与认知 · 定量生物学 2016-01-12 Amir Goldental , Pinhas Sabo , Shira Sardi , Roni Vardi , Ido Kanter

In awake animals, the activity of the cerebral cortex is highly complex, with neurons firing irregularly with apparent Poisson statistics. One way to characterize this complexity is to take advantage of the high interconnectivity of…

神经元与认知 · 定量生物学 2009-04-29 Martin Pospischil , Zuzanna Piwkowska , Thierry Bal , Alain Destexhe

Multimodal transformer exhibits high capacity and flexibility to align image and text for visual grounding. However, the existing encoder-only grounding framework (e.g., TransVG) suffers from heavy computation due to the self-attention…

计算机视觉与模式识别 · 计算机科学 2023-10-27 Fengyuan Shi , Ruopeng Gao , Weilin Huang , Limin Wang

Field-orthogonal temporal mode analysis of optical fields is recently developed for a new framework of quantum information science. But so far, the exact profiles of the temporal modes are not known, which makes it difficult to achieve mode…

量子物理 · 物理学 2020-06-24 Nan Huo , Yuhong Liu , Jiamin Li , Liang Cui , Xin Chen , Rithwik Palivela , Tianqi Xie , Xiaoying Li , Z. Y. Ou

This thesis investigates the mechanically controlled break junctions, with a particular emphasis on elucidating the behaviour of molecular currents at room temperature. The core of this experimental investigation involves a detailed…

介观与纳米尺度物理 · 物理学 2024-09-17 Giovanna Angelis Schmidt

The transport of bio-particles in viscous flows exhibits a rich variety of dynamical behaviour, such as morphological transitions, complex orientation dynamics or deformations. Characterising such complex behaviour under well controlled…

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

物理与社会 · 物理学 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

In a mixed generalized linear model, the goal is to learn multiple signals from unlabeled observations: each sample comes from exactly one signal, but it is not known which one. We consider the prototypical problem of estimating two…

统计理论 · 数学 2026-01-12 Yihan Zhang , Marco Mondelli , Ramji Venkataramanan

Deep convolutional neural networks (CNNs) have dominated many computer vision domains because of their great power to extract good features automatically. However, many deep CNNs-based computer vison tasks suffer from lack of training data…

计算机视觉与模式识别 · 计算机科学 2018-08-21 Jie Guo , Tingfa Xu , Shenwang Jiang , Ziyi Shen