Algorithm Optimisation Championship. - page 35

 
Andrey Dik:

Why should I have to? You don't have to, you can.

If you have ideas on how to use properties to search only and exclusively for the real world, I'd love to hear them.

For example:

Countless coordinate axes in sequence on the Z-axis, one after the other.

Instead of looking for maximal function on 386 coordinate axis, why not find the same maximal on Z coordinate, on division of 386?

Compress the multidimensional space into a three-dimensional space...

 

This "championship" theme and the nature of the discussion evokes an association with the film "What about BOB?

-- hereAndrey Dik is Dr. Leo Marvin


 
Реter Konow:

For example:

Countless coordinate axes in sequence on the Z-axis, one after the other.

Instead of looking for a maximum function on the 386 coordinate axis, why not find the same maximum on the Z coordinate, on a division of the 386?

Compress the multidimensional space into a three-dimensional space...

I'm sorry, I don't understand. Can you graphically represent it?
 
If two-dimensional space is understood as a slice of three-dimensional space, then the number of such slices along axis Z, will be infinitely many. Each slice can have a curved line drawn by its function. If we write for every optimized property of an object its analytical function, we will get a three-dimensional surface consisting of curved lines sequentially drawn along the Z axis. Pictures of such surface are drawn by my tester.
 
Реter Konow:
If we understand two-dimensional space as a slice of three-dimensional space, the number of such slices along axis Z, will be infinitely many. Each slice can have a curved line drawn with its own function. If we write for every optimized property of an object its analytical function, we will get a three-dimensional surface consisting of curved lines sequentially drawn along the Z axis. Pictures of such surface are drawn by my tester.

No, the tester draws a volumetric (3-dimensional) surface if there are 2 parameters.

But we have f(x1,x2,x3... x500) for example, how should we proceed?

 
Andrey Dik:

No, the tester draws a volumetric (3-dimensional) surface if there are 2 parameters.

But we have f(x1,x2,x3... x500) for example, how should we proceed?

If x is a property of the object, then the curve of property x1 (reflecting its possible values) will occupy a place on the scale of axis Z equal to 1.

Variable x2 is the second optimised property of the object whose curve will occupy a place on the scale of the Z-axis immediately behind the two-dimensional space of the first curve, on the 2-axis.

Variable x3, is the third optimizable property of the object whose curve will be located on the Z-axis scale immediately behind the two-dimensional space of the second curve, on the 3rd.

Imagine slides that we are viewing in sequence. On each slide, a curved line is drawn reflecting the possible values of a particular object property.

The slides are one after the other (Z-axis), like pages in a book.

 
Реter Konow:

If x is a property of the object, then the curve of property x1 (reflecting its possible values) will occupy a place on the scale of axis Z equal to 1.

Variable x2 is the second optimisable property of the object, the curve of which will be located on the Z-axis scale immediately behind the two-dimensional space of the first curve, on the 2-axis.

Variable x3, is the third optimizable property of the object whose curve will be located on the Z-axis scale immediately behind the two-dimensional space of the second curve, on the 3rd.

Imagine slides that we are viewing in sequence. On each slide, a curved line is drawn reflecting the possible values of a particular object property.

The slides stand one after another, like pages in a book.

The slides are clear. It's not clear what's on the slides. Ok, let's try to take an easier function,f(x1, x2,x3, x4, x5).

Draw, by hand, exactly what and how it will be placed on the slides:

f=(x1-0.2)^2 + (x2+2.3)^3 + (x3-4.2)^4 + x4 + x5^2)

 
Andrey Dik:

The slides are clear. It's not clear what's on the slides. Ok, let's try to take an easier function,f(x1, x2,x3, x4, x5).

Draw, by hand, exactly what and how it will be placed on the slides:

f=(x1-0.2)^2 + (x2+2.3)^3 + (x3-4.2)^4 + x4 + x5^2)

Andrew, answer the question: is x a property of the object?

If yes, then the slides will show the values of this property for every single moment of time, or for every other parameter that defines the property values (in the form of a curved line generated by a function).

 
Реter Konow:

Andrew, answer the question: is x a property of the object?

If yes, then the slides will show the values of this property for each specific moment of time, or for any other parameter that determines the property values (in the form of a curve line constructed by the function).

x is an object property, a function variable, an optimised parameter. it's all x.

To build a line, you need two parameters in the equation (one variable in the function), what is the dependency of x1 that the line on the very first slide will show?

 
Andrey Dik:

x is an object property, a function variable, an optimised parameter. it's all x.

To build a line, you need two parameters in the equation (one variable in the function), what is the dependency of x1 that the line on the very first slide will show?

Dependence on that parameter which defines the valueof the object property.

We have the property x1.

The value of this property varies from 8.00 to 12.00 (hours) between 0 and 100. It does not change uniformly.

If we represent the variation graphically we will get a curved line. We plot it on the Z-axis on the first slide.

We have a second object property - x2.

The value of this property changes from 8.00 to 12.00 ranging from 55 to 158. It does not change uniformly.

We draw a curve of variation of this property and place it on the Z-axis of the second slide.

And so on...

The values of both properties of the same object change depending on the time of day. The nature of variation of values of these properties is plotted as a curve on a graph.

We then look for the highest and lowest points of those curves. We collect statistics or signatures of changes...