ポスタータイトル

SSVD Based Biclustering Methods via Mixed Prenet Penalty

発表者

Jiqiang Wang and Kei Hirose

Abstract：

Standard clustering methods typically group samples based on their entire set of observed features. In large datasets, however, only a few features may play a role in distinguishing different clusters.

In our research, we observed that if certain biclusters produced by the algorithm are excessively similar, which means they have a high degree of repetition (overlap). Such redundancy can pose challenges to our analysis because it is difficult to identify the useful variables. On the other hand, these repeated portions may also contain valuable information. However, a simple prohibition or allowance of repetition is not sufficient. We need to find a method to identify when it is necessary to retain duplicated parts. In our study, we successfully improved the SSVD (Sparse Singular Value Decomposition) by proposing the following mixed Prenet penalty (a hybrid of Prenet (product-based elastic net) penalty and the original elastic net penalty) to replace the original adaptive Lasso penalty in the SSVD method.

The Prenet penalty was originally proposed by Hirose and Terada (2022) to deal with the loading matrix in Factor analysis. It is based on the product of a pair of elements in each row of the loading matrix. The Prenet not only shrinks some of the factor loadings toward exactly zero but also enhances the simplicity of the loading matrix, which plays an important role in the interpretation of the common factors. However, the original Prenet penalty itself cannot provide a good clustering result in our experience, then we extended it to make it compatible with the general elastic net and allow users to easily control the threshold for allowing overlapping by adjusting parameter values. This improvement has a noticeable effect on reducing the degree of dummy overlapping.

受賞日
2023年12月8日

論文タイトル

Fast same-step forecast in SUTSE model and its theoretical properties

執筆者

概要：

本論文は、SUTSEモデルを用いた、多変量時系列予測についての研究です。予測では、各変数の、予測誤差の相関関係を利用することを考えています。しかし、この相関を推定する際に、SUTSEモデルの枠組みでは、計算コストが大きいです。そこで本論文では、通常まとめて行われる、モデル推定と予測誤差の相関の推定を切り分け、2段階で実行することで、予測の高速化を図りました。実際に、この提案手法をバスの混雑度予測に応用した結果、11時間かかっていた解析を、8秒で終了することができ、精度も大きな差がありませんでした。また、提案手法にまつわる理論的特徴も議論しています。特に、カルマンフィルタによる予測の誤差について、新たな性質を証明しています。

アクセプト
2023年9月24日

www.sciencedirect.com

Fast same-step forecast in SUTSE model and its theoretical properties

https://www.sciencedirect.com/science/article/pii/S016794732300172X

論文タイトル

Hierarchical clustered multiclass discriminant analysis via cross-validation

執筆者

アクセプト
2022年9月2日

doi.org

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https://doi.org/10.1016/j.csda.2022.107613