Questions tagged [minimization]
The minimization tag has no usage guidance.
12
questions with no upvoted or accepted answers
9
votes
0answers
84 views
Reference request: DFA linear-time minimization
What is the most complicated kind of deterministic finite-state automaton that can be minimized in $O(n)$ time?
Here’s what I’ve been able to find so far:
The acyclic case has been solved. So any ...
8
votes
0answers
129 views
Determining if transducer automaton has two states with intersecting images, without minimizing?
I work (in implementation!) with deterministic finite state automata with input and output; i.e. there are transitions (start state,input letter)$\to$(new state,output letter). Thus every state gives ...
4
votes
0answers
670 views
Minimizing a monotone submodular function under a cardinality constraint
I would like to know what the status of the following question is:
Given query access to a non-decreasing, non-negative submodular function $f\colon 2^{[n]} \to \mathbb{R}$ and a parameter $0 \leq ...
3
votes
0answers
116 views
minimal languages that “cover” grammar productions
this question is based on generalizing two somewhat similar questions that recently appeared on the "sister" beta site cs.se (now with more questions than this one!) and which seems theoretically ...
3
votes
0answers
938 views
Christofides algorithm for directed graph
Is it possible to implement the Christofides algorithm for an directed Graph?
Suppose you have an undirected Graph, in which every vertex has an edges in both ways to every other in the graph (not to ...
2
votes
0answers
39 views
Determine whether a categorical grammar is minimal concerning lexical entries
In order to compare the descriptional complexity of context-free and (combinatoric) categorical I need a way to check if a categorical grammar of a formal language is minimal concerning lexical ...
1
vote
0answers
27 views
Searchable finite field
Let $F$ be a large finite field, where the elements are strings of length $n$. We require, addition, multiplication, and division to be efficient (polynomial in $n$).
We say that $F$ is searchable if ...
1
vote
0answers
136 views
QUBO formulation of a discrete-variable optimization problem
I am facing a non-linear, discrete optimization problem, which I can formulate in this abstract manner: I have a certain non-analytic non-linear real-valued function $f:S \to \mathbb{R}$ which takes ...
1
vote
0answers
120 views
Minimize L2 norm by circular permutation
Imagine two lists $L$, $M$ of the same length $n$. How to find $j$ such that
$\sum_{i=1}^n(L[i]-M[i+j])^2$ is minimal, where the index $i+j$ is taken modulo $n$?
Of course one can take all the ...
1
vote
0answers
148 views
3D Bin Packing with one bin with infinite/unknown size
Hi I'm looking for a variation of the Orthogonal 3D-BinPacking algorithm with only one bin of unknown size.
I have a set $S$ of $n$ cuboids items $i_j$ with $j=1...n$.
The dimensions of the items are ...
1
vote
0answers
548 views
Splitting a graph into size constrained clusters
I ran across a problem while working on an algorithm for a game I'm making on the side. It's basically a clustering problem where we have a graph G and want to split it into clusters of equal size ...
0
votes
0answers
469 views
Hardness of Minimizing Submodular Functions with Cardinality Constraints
I am new to submodular functions and I am reading the introductions to submodular functions and applications ( https://www.ima.umn.edu/optimization/seminar/queyranne.pdf ).
In this introduction, it ...
