Robust Principal Tensor Component Analysis

2021 ◽  
pp. 133-162
Author(s):  
Yipeng Liu ◽  
Jiani Liu ◽  
Zhen Long ◽  
Ce Zhu
Neuron ◽  
2018 ◽  
Vol 98 (6) ◽  
pp. 1099-1115.e8 ◽  
Author(s):  
Alex H. Williams ◽  
Tony Hyun Kim ◽  
Forea Wang ◽  
Saurabh Vyas ◽  
Stephen I. Ryu ◽  
...  

2020 ◽  
Author(s):  
Andrei Amatuni ◽  
Chen Yu

Statistical learning is an active process wherein information is actively selected from the learning environment. As current information is integrated with existing knowledge, it shapes attention in subsequent learning, placing biases on which new information will be sampled. One statistical learning task that has been studied recently is cross-situational word learning (CSL). In CSL, statistical learners are able to learn the correct mappings between novel visual objects and spoken labels after watching sequences where the two are paired together in referentially ambiguous contexts. In the present paper, we use a computational method called Tensor Component Analysis (TCA) to analyze real-time gaze data collected from a set of CSL studies. We applied TCA to learners' gaze data in order to derive latent variables related to real-time statistical learning and to examine how selective attention is organized in time. Our method allows us to address two specific questions: a) the similarity in attention behavior across strong vs. weak learners as well as across learned vs. not-learned items and b) how the structure of attention relates to word learning. We measured learners' knowledge of label-object pairs at the end of a training session, and show that their real-time gaze data can be used to predict item-level learning outcomes as well as decode pretrained item knowledge.


2021 ◽  
Author(s):  
Guoqiang Hu ◽  
Huanjie Li ◽  
Wei Zhao ◽  
Yuxing Hao ◽  
Zonglei Bai ◽  
...  

AbstractThe study of brain network interactions during naturalistic stimuli facilitates a deeper understanding of human brain function. Intersubject correlation (ISC) analysis of functional magnetic resonance imaging (fMRI) data is a widely used method that can measure neural responses to naturalistic stimuli that are consistent across subjects. However, interdependent correlation values in ISC artificially inflated the degrees of freedom, which hinders the investigation of individual differences. Besides, the existing ISC model mainly focus on similarities between subjects but fails to distinguish neural responses to different stimuli features. To estimate large-scale brain networks evoked with naturalistic stimuli, we propose a novel analytic framework to characterize shared spatio-temporal patterns across subjects in a purely data-driven manner. In the framework, a third-order tensor is constructed from the timeseries extracted from all brain regions from a given parcellation, for all participants, with modes of the tensor corresponding to spatial distribution, time series and participants. Tensor component analysis (TCA) will then reveal spatially and temporally shared components, i.e., naturalistic stimuli evoked networks, their temporal courses of activity and subject loadings of each component. To enhance the reproducibility of the estimation with TCA, a novel spectral clustering method, tensor spectral clustering, was proposed and applied to evaluate the stability of TCA algorithm. We demonstrate the effectiveness of the proposed framework via simulations and real fMRI data collected during a motor task with a traditional fMRI study design. We also apply the proposed framework to fMRI data collected during passive movie watching to illustrate how reproducible brain networks are identified evoked by naturalistic movie viewing.


VASA ◽  
2012 ◽  
Vol 41 (5) ◽  
pp. 333-342 ◽  
Author(s):  
Kirchberger ◽  
Finger ◽  
Müller-Bühl

Background: The Intermittent Claudication Questionnaire (ICQ) is a short questionnaire for the assessment of health-related quality of life (HRQOL) in patients with intermittent claudication (IC). The objective of this study was to translate the ICQ into German and to investigate the psychometric properties of the German ICQ version in patients with IC. Patients and methods: The original English version was translated using a forward-backward method. The resulting German version was reviewed by the author of the original version and an experienced clinician. Finally, it was tested for clarity with 5 German patients with IC. A sample of 81 patients were administered the German ICQ. The sample consisted of 58.0 % male patients with a median age of 71 years and a median IC duration of 36 months. Test of feasibility included completeness of questionnaires, completion time, and ratings of clarity, length and relevance. Reliability was assessed through a retest in 13 patients at 14 days, and analysis of Cronbach’s alpha for internal consistency. Construct validity was investigated using principal component analysis. Concurrent validity was assessed by correlating the ICQ scores with the Short Form 36 Health Survey (SF-36) as well as clinical measures. Results: The ICQ was completely filled in by 73 subjects (90.1 %) with an average completion time of 6.3 minutes. Cronbach’s alpha coefficient reached 0.75. Intra-class correlation for test-retest reliability was r = 0.88. Principal component analysis resulted in a 3 factor solution. The first factor explained 51.5 of the total variation and all items had loadings of at least 0.65 on it. The ICQ was significantly associated with the SF-36 and treadmill-walking distances whereas no association was found for resting ABPI. Conclusions: The German version of the ICQ demonstrated good feasibility, satisfactory reliability and good validity. Responsiveness should be investigated in further validation studies.


2000 ◽  
Vol 3 ◽  
pp. np
Author(s):  
Keith S. Dobson ◽  
Paula A. Truax ◽  
Michael E. Addis ◽  
Kelly Koerner ◽  
Jackie K. Gollan ◽  
...  

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