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# Questions tagged [optimization]

Questions about problems that entail selecting the best element from some set of available alternatives, and methods to solve them.

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### Find a strategy to evade hungry lions on the real line for the longest time

This is an interview question I was asked, which I don't know how to approach. I would appreciate pointers to algorithms I should look up. You are placed on the real line, and there also are $K$ ...
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### Minimizing the area of a simple polygon by modifying/adding to a subset of its vertices

I'm trying to minimize the area of a simple (non-intersecting, without holes) polygon by adding points to it, or modifying points of its subset. Let me describe this more formally: Let: $P$ be a ...
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### Given a set of point sets, find points from each set with maximum total distance between them while each distance is larger than a threshold

The title may be a bit confusing but the problem is this; Lets assume I have 5 points in 4 groups (in total 20 points). What I want to achieve is; -> Pick one point from each group (we will have 4 ...
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### Help needed for understanding proof of No Regret Multi Armed Bandit Algorithm

I was reading Elad Hazan's book on Online Convex Optimization(http://ocobook.cs.princeton.edu/OCObook.pdf) and am facing difficulty understanding the proof given for the No regret algorithm for MAB (...
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### Expected development of 'fitness histogram' for PSO over time

I'm plotting the fitness histogram of my particle swarm optimizer - i.e. the individual fitness scores for each particle and iteration - during a run. The problem tackled is basically curve fitting/...
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### Finding minimum number of edges such that when adding into the graph, the graph is a 2-connected graph

Given is a undirected and 1-connected graph G=(V,E). Between every two node b=(u,v) in graph G there is a cost c_b to build another edge(Regardless of whether (u,v) ∈E or not). We use a C={c_b |c_b∈Z^+...
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### What is the difference in SMO algorithm for SVM and SMO for one class?

Please let know if this is not the correct forum to ask this question. If not can anyone please tell where can I ask this question? I am trying to understand the difference between the paper : https:/...
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### Computational complexity of maximizing sum of rational functions

I have a optimization problem: $$\max_z\ \sum_{i=1}^n \frac{W_i}{D_i - z_i} \quad \text{s.t.}\ \sum_{i=1}^n z_i \leq k, z_i \in [0,k],$$ where each $W_i$, $D_i$ are constants and $z_i$ are integer ...
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### Stable matching with asymmetric arrays (gale shapley)

I was reading this thread The stable marriage algorithm with asymmetric arrays and started to solve the problem asked in this thread about matching 5 students with 10 dorms. One of the answer ...
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### If value of LP relaxation of s-t minimum cuts is P ,then wen can find a s-t cut at most P edges?

My problem is mainly from this lecture notes on convex optimization here page4 Consider a s-t Minimum problem, on unweighted undirected graph $G=(V,E)$,we can formalize in following linear integer ...
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### Interpretation of Backtracking Algorithm Problem - weighted matching

I am attempting to resolve the following problem using Backtracking: Suppose that you have $n$ men and $n$ women and two matrices P y Q (n x n); such that $P_{ij}$ is the preference of the man $i$ ...
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### Looking for a specific type of ADMM iterates

For a $k-$dimensional optimization variable $b \in \mathbb{R}^k$ say the objective is given as, $$f(b) = \langle b, v \rangle + \langle b , Ab \rangle + \lambda \Vert b \Vert_1$$ for some parameter ...