In close collaboration with Seoul National University's Structural Complexity Laboratory

 

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-  +====== ​Fixed complexity problems ​======
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-In close collaboration with the Structured Complexity Group. +
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-Fixed complexity problems +
 Fixed complexity problems are problems in which the only requirement is to find a suitable set of values for a fixed set of parameters. Problems falling into this class include Fixed complexity problems are problems in which the only requirement is to find a suitable set of values for a fixed set of parameters. Problems falling into this class include
 +  * Many continuous optimisation problems, where the aim is simply to find real-number values for a set of parameters x1,...,xn that optimise the value of some function f(x1,​...,​xn) ​
 +  * Some discrete optimisation problems, where the aim is again to find integer values for a set of parameters x1,...,xn that optimise the value of some function f(x1,​...,​xn) ​
 +      * Even many combinatorial problems can be cast in this light 
 +  * Linear regression, where the aim is to find a fixed set of linear coefficients relating the variables under consideration ​
 +  * Simple propositional learning problems generally fall into this class 
  
-    ​* +**Methods for solving such problems include** 
-      Many continuous optimisation problems, where the aim is simply to find real-number values for a set of parameters x1,…,xn that optimise the value of some function f(x1,​…,​xn) +  * Complete search (depth, breadth first,....)  
-    ​* +  * Heuristic search (A*, branch and bound,....)  
-      Some discrete optimisation problems, where the aim is again to find integer values for a set of parameters x1,…,xn that optimise the value of some function f(x1,​…,​xn) +  * Stochastic search (simulated annealing, tabu search, genetic algorithms) ​
-          o +
-            Even many combinatorial problems can be cast in this light +
-    * +
-      Linear regression, where the aim is to find a fixed set of linear coefficients relating the variables under consideration +
-    * +
-      Simple propositional learning problems generally fall into this class +
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-Methods for solving such problems include +
- +
-    ​* +
-      ​Complete search (depth, breadth first,….) +
-    * +
-      ​Heuristic search (A*, branch and bound,….) +
-    * +
-      ​Stochastic search (simulated annealing, tabu search, genetic algorithms)+
  
 While this isn't the primary focus of research in the structural complexity lab, we do some research in these areas from time to time; we tend to be more interested in While this isn't the primary focus of research in the structural complexity lab, we do some research in these areas from time to time; we tend to be more interested in
- +  ​* Dynamic problems, where the optimal solution changes with time (so we have done some work on dynamic travelling salesman problems, dynamic ant clustering,...)  
-    ​* +  * Problems belonging to a family of problems, so tough versions can be solved incrementally from first solving simpler ones 
-      ​Dynamic problems, where the optimal solution changes with time (so we have done some work on dynamic travelling salesman problems, dynamic ant clustering,…) +
-    * +
-      ​Problems belonging to a family of problems, so tough versions can be solved incrementally from first solving simpler ones +
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