Landscape Encodings Enhance Optimization
نویسندگان
چکیده
Hard combinatorial optimization problems deal with the search for the minimum cost solutions (ground states) of discrete systems under strong constraints. A transformation of state variables may enhance computational tractability. It has been argued that these state encodings are to be chosen invertible to retain the original size of the state space. Here we show how redundant non-invertible encodings enhance optimization by enriching the density of low-energy states. In addition, smooth landscapes may be established on encoded state spaces to guide local search dynamics towards the ground state.
منابع مشابه
Multidimensional Knapsack Problem: The Influence of Representation
Fitness landscape analysis techniques are used to better understand the influence of genetic representations and associated variation operators when solving a combinatorial optimization problem. Five representations are investigated for the Multidimensional Knapsack problem. Common mutation operators (like bit-flip mutation) and classic 1-point and uniform crossover are employed to generate fit...
متن کاملCover-Encodings of Fitness Landscapes
An instance of a discrete optimization problem can be tackled by a local search on a suitably defined cost or fitness landscape. Ruggedness of the landscape arrests the search or slows down its progress due to trapping in local minima. Alternatively, a heuristic approximation may be used for estimating a global cost minimum. Here we present a combination of these two approaches by cover-encodin...
متن کاملAnalyzing Fitness Landscapes for the Optimal Golomb Ruler Problem
We focus on the Golomb ruler problem, a hard constrained combinatorial optimization problem. Two alternative encodings are considered, one based on the direct representation of solutions, and one based on the use of an auxiliary decoder. The properties of the corresponding fitness landscapes are analyzed. It turns out that the landscape for the direct encoding is highly irregular, causing drift...
متن کاملComparison of Different Genotype Encodings for Simulated 3D Agents
This paper analyzes the effect of different genetic encodings used for evolving 3D agents with physical morphologies. The complex phenotypes used in such systems often require nontrivial encodings. Different encodings used in Framsticks — a system for evolving 3D agents — are presented. These include a low-level direct mapping and two higher-level encodings: a recurrent and a developmental one....
متن کاملVisualization of Movement in Multiscale
This paper will explore a number of visual encodings that can be layered over (x, y, scale, rotation) movement through multiscale. The visual encodings are designed to enhance viewers’ understanding of movement in between key frames. Since none of the visual encodings in this paper conveys all aspects of movement, to give the viewer a complete sense of movement, multiple visual encodings must b...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره 7 شماره
صفحات -
تاریخ انتشار 2012