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Deep learning-based initialization for object packing

Wołczyk Maciej

Schedae Informaticae

2018

Vol. 27

9--17

One of the most important optimization tasks in the industry at the current time is the object packing problem. Although several methods have been developed for the purpose of solving it, they are usually only able to optimize placement locally and as such are heavily dependent on the choice of the initial setting – hence the need for trying out multiple possible starting points, which impacts algorithm running time. In this paper we present a neural networkbased model which provides sensible starting points in a linear time.

On a property of phi-variational modular spaces

Wang J., Wu C.

Opuscula Mathematica

2010

Vol. 30, no. 2

209-215

Maligranda pointed out whether condition (B.1) is satisfied in the variational modular space X*ρ is an open problem. We will answer this open problem in X*ρ', a subspace of X*ρ. As a consequence this modular space X*ρ' can be F-normed.

φ-function of N variables

Misiak A., Ryż A.

Demonstratio Mathematica

1998

Vol. 31, nr 2

387-393