منابع مشابه
Network Estimation from Point Process Data
Consider observing a collection of discrete events within a network that reflect how network nodes influence one another. Such data are common in spike trains recorded from biological neural networks, interactions within a social network, and a variety of other settings. Data of this form may be modeled as self-exciting point processes, in which the likelihood of future events depends on the pa...
متن کاملPoint-process models of social network interactions: parameter estimation and missing data recovery
1 Department of Mathematics, University of California, Los Angeles, Los Angeles, CA 90095, USA email: [email protected] 2 Department of Statistics, University of California, Los Angeles, Los Angeles, CA 90095, USA 3 Department of Behavioral Sciences and Leadership, United States Military Academy, West Point, NY 10996, USA 4 Department of Mathematics, University of California, Los Angeles, Los Ang...
متن کاملEstimation of Euler Characteristic from Point Data
Determination of the geometry and topology of a 3-dimensional body is an important problem appearing in Computer Aided Design, medical tomography, crystallography, molecular biology, etc. The methods used to address this problem depend on the form of input data. Let S be a finite set of sample points from a 3-dimensional body K ⊂ R. In applications one may need to estimate certain integral prop...
متن کاملDiscovering Latent Network Structure in Point Process Data
Networks play a central role in modern data analysis, enabling us to reason about systems by studying the relationships between their parts. Most often in network analysis, the edges are given. However, in many systems it is difficult or impossible to measure the network directly. Examples of latent networks include economic interactions linking financial instruments and patterns of reciprocity...
متن کاملContinuous-time Filters for State Estimation from Point Process Models of Neural Data.
Neural spike trains, the primary communication signals in the brain, can be accurately modeled as point processes. For many years, significant theoretical work has been done on the construction of exact and approximate filters for state estimation from point process observations in continuous-time. We have previously developed approximate filters for state estimation from point process observat...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2019
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2018.2875766