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NIPS
2008
14 years 11 months ago
Bayesian Exponential Family PCA
Principal Components Analysis (PCA) has become established as one of the key tools for dimensionality reduction when dealing with real valued data. Approaches such as exponential ...
Shakir Mohamed, Katherine A. Heller, Zoubin Ghahra...
PAKDD
2009
ACM
124views Data Mining» more  PAKDD 2009»
15 years 4 months ago
Dynamic Exponential Family Matrix Factorization
Abstract. We propose a new approach to modeling time-varying relational data such as e-mail transactions based on a dynamic extension of matrix factorization. To estimate effectiv...
Kohei Hayashi, Junichiro Hirayama, Shin Ishii
ICDM
2010
IEEE
166views Data Mining» more  ICDM 2010»
14 years 7 months ago
Exponential Family Tensor Factorization for Missing-Values Prediction and Anomaly Detection
In this paper, we study probabilistic modeling of heterogeneously attributed multi-dimensional arrays. The model can manage the heterogeneity by employing an individual exponential...
Kohei Hayashi, Takashi Takenouchi, Tomohiro Shibat...
UAI
2004
14 years 11 months ago
Exponential Families for Conditional Random Fields
In this paper we define conditional random fields in reproducing kernel Hilbert spaces and show connections to Gaussian Process classification. More specifically, we prove decompo...
Yasemin Altun, Alexander J. Smola, Thomas Hofmann
NIPS
2000
14 years 11 months ago
On Reversing Jensen's Inequality
Jensen's inequality is a powerful mathematical tool and one of the workhorses in statistical learning. Its applications therein include the EM algorithm, Bayesian estimation ...
Tony Jebara, Alex Pentland