shandian zhe: probabilistic machine learning05-15... · shandian zhe: probabilistic machine...
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Shandian Zhe: Probabilistic Machine Learning
Research Topics:1. Bayesian Nonparametrics 2. Bayesian Deep Learning3. Probabilistic Graphical Models4. Large-Scale Learning System5. Tensor/Matrix Factorization6. Embedding Learning
Assistant Professor, School of Computing, University of Utah
Applications:• Collaborative Filtering• Online Advertising• Physical Simulation• Brain Imaging Data Analysis
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Stochastic Nonparametric Event-Tensor Decomposition
Shandian Zhe, Yishuai [email protected], [email protected]
School of Computing, University of Utah
Tensor Data: Widely Used High-Order Data Structures to Represent Interactions of Multiple Objects/Entities
(user, item, online-store) (user, user, location, message-type)
(subject, voxel, electrode)(user, advertisement, page-section)
(patient, gene, condition)
(user, movie, episode)
Tensor Decomposition
user item page purchase
100 25 35 �
23 21 �� �
100 25 �� �
.. .. ..
32 33 �� �
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user
item
page
1/0
Traditional methods: Multilinear assumptions������
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Tensor Decomposition with Time��������� ������������������
user item page purchase time-stamp
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user
item
page
(user, item, page, week)
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Stochastic Nonparametric Event-Tensor Decomposition
user item page time-stamp
100 25 35 �������� ����
23 21 � ��������������
100 25 � �������������
.. .. ..
32 33 � ������������
index time-stamps(100,25,35) {s1, s2...sn}
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