no code implementations • 22 May 2024 • Ryoya Yamasaki, Toshiyuki Tanaka
Threshold methods are popular for ordinal regression problems, which are classification problems for data with a natural ordinal relation.
1 code implementation • 21 May 2024 • Ryoya Yamasaki, Toshiyuki Tanaka
For $K$-class OR tasks, threshold methods learn a one-dimensional transformation (1DT) of the explanatory variable so that 1DT values for observations of the explanatory variable preserve the order of label values $1,\ldots, K$ for corresponding observations of the target variable well, and then assign a label prediction to the learned 1DT through threshold labeling, namely, according to the rank of an interval to which the 1DT belongs among intervals on the real line separated by $(K-1)$ threshold parameters.
no code implementations • 23 Feb 2024 • Ryoya Yamasaki, Toshiyuki Tanaka
Blurring mean shift (BMS) algorithm, a variant of the mean shift algorithm, is a kernel-based iterative method for data clustering, where data points are clustered according to their convergent points via iterative blurring.
no code implementations • 15 May 2023 • Ryoya Yamasaki, Toshiyuki Tanaka
For example, in binary classification, instead of the one-hot target $(1, 0)^\top$ used in conventional logistic regression (LR), LR with LS (LSLR) uses the smoothed target $(1-\frac{\alpha}{2},\frac{\alpha}{2})^\top$ with a smoothing level $\alpha\in(0, 1)$, which causes squeezing of values of the logit.
no code implementations • 15 May 2023 • Ryoya Yamasaki, Toshiyuki Tanaka
The mean shift (MS) algorithm seeks a mode of the kernel density estimate (KDE).
no code implementations • 20 Apr 2023 • Ryoya Yamasaki, Toshiyuki Tanaka
Kernel-based modal statistical methods include mode estimation, regression, and clustering.
no code implementations • 30 Jan 2020 • Ryoya Yamasaki, Toshiyuki Tanaka
Modal linear regression (MLR) is a method for obtaining a conditional mode predictor as a linear model.