3. Algorithm & Logic
The core task task_n_to_1 implements a deterministic sliding-window transformation.
Mathematical Description
Given a univariate time series \(X = \{x_1, x_2, ..., x_T\}\), the system transforms this into a feature matrix \(X_{feat}\) and a target vector \(y\) based on the window size \(w\) (lags):
\[X_{row, t} = [x_{t-w}, x_{t-w+1}, ..., x_{t-1}] \rightarrow y_t = x_t\]
Design Objectives
- Deterministic: The implementation strives to ensure that the same input always generates the exact same bit-level output.
- Leakage-Free: The implementation aims to ensure that the target value \(y_t\) is never contained within the input vector \(X_{row, t}\).
8. Disclaimer & Liability
LIMITATION OF LIABILITY: While this library is designed with safety principles and deterministic logic in mind, it is provided “AS IS” without any warranties. The developers and contributors assume NO LIABILITY for any direct or indirect damages, system failures, or financial losses resulting from the use of this software.
It is the sole responsibility of the system integrator to perform a full system-level safety validation (e.g., as per ISO 26262, IEC 61508, or the EU AI Act) before deploying this software in a production or safety-critical environment.