eesmärkfunktsiooniga

eesmärkfunktsiooniga is an Estonian phrase that translates to "with an objective function" or "purpose function". It is commonly used in mathematics, computer science, and engineering to describe a function that quantifies the goal or desired outcome of an optimization problem or a system.

In optimization, an objective function is the function that a solver aims to maximize or minimize. For instance, in a manufacturing scenario, the objective function might represent the profit to be maximized, or the cost to be minimized. The variables within the objective function are the parameters that can be adjusted to achieve the optimal result.

Similarly, in the context of artificial intelligence and machine learning, objective functions are crucial for training models. These functions, often called loss functions or cost functions, measure how well a model is performing. The learning process then involves adjusting the model's parameters to minimize this objective function. Examples include minimizing the mean squared error for regression tasks or minimizing the cross-entropy for classification tasks.

The concept of an objective function is fundamental to understanding how algorithms and systems are designed to achieve specific goals. It provides a clear, quantifiable measure of success, allowing for systematic improvement and decision-making. The "eesmärkfunktsiooniga" essentially means that a particular process or analysis is guided by a defined goal that can be expressed mathematically.