# Questions tagged [constrained-optimization]

For questions that involve constrained optimization problems (in the context of artificial intelligence).

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### How much depth is recommended to study constrained optimization for deep learning?

I am studying the chapter named Numerical Computation from the deep learning textbook In the chapter, there is a section named Constrained Optimization. The authors recommended to read the portion of ...
124 views

### Given a list of integers $\{c_1, \dots, c_N \}$, how do I find an integer $D$ that minimizes the sum of remainders $\sum_i c_i \text{ mod } D$?

I have a set of fixed integers $S = \{c_1, \dots, c_N \}$. I want to find a single integer $D$, greater than a certain threshold $T$, i.e. $D > T \geq 0$, that divides each $c_i$ and leaves ...
22 views

### How to constrain some actions in a multi-dimensional action space?

In portfolio management (allocation) the action space is given by the weights of the assets, i.e. $\sum_{i=1}^m a_i=1$. There may be some weight constraints like one cannot allocate more than 10% of ...
613 views

### How to use a VAE to reconstruct an image starting from an initial image instead of starting from a random vector?

Is it possible to use a VAE to reconstruct an image starting from an initial image instead of using K.random_normal, as shown in the “sampling” function of this ...
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### Intuition behind $1-\gamma$ and $\frac{1}{1-\gamma}$ for calculating discounted future state distribution and discounted reward

In the appendix of the Constrained Policy Optimization (CPO) paper (Arxiv), the authors denote the discounted future state distribution $d^\pi$ as: d^\pi(s) = (1-\gamma) \sum_{t=0}^\infty{\gamma^t P(...
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### How to handle infeasibility caused due to crossover and mutation in genetic algorithm for optimization?

I have chromosomes with floating-point representation with values between $0$ and $1$. For example Let $p_1 = [0.1, 0.2, 0.3]$ and $p_2 = [0.5, 0.6, 0.7]$ be two parents. Both comply with the set of ...