From 39f42c676b2a95260b6104326ccd37f96b8edc88 Mon Sep 17 00:00:00 2001 From: Peter Vacho Date: Sun, 16 Mar 2025 21:46:34 +0100 Subject: [PATCH] Add results --- PROTOCOL.md | 97 +++++++++++++++++++++++++++++++++ imgs/1_config.png | Bin 0 -> 22128 bytes imgs/1_ls.png | Bin 0 -> 33549 bytes imgs/1_shc.png | Bin 0 -> 30969 bytes imgs/2_config.png | Bin 0 -> 22565 bytes imgs/2_ls.png | Bin 0 -> 38864 bytes imgs/2_ls_iterations-1000.png | Bin 0 -> 34307 bytes imgs/2_ls_neighbors-100.png | Bin 0 -> 35433 bytes imgs/2_ls_stddev-30.png | Bin 0 -> 35945 bytes imgs/2_shc.png | Bin 0 -> 35753 bytes imgs/2_shc_iterations-1000.png | Bin 0 -> 35689 bytes imgs/2_shc_neighbors-100.png | Bin 0 -> 35827 bytes imgs/2_shc_stddev-30.png | Bin 0 -> 35798 bytes 13 files changed, 97 insertions(+) create mode 100644 PROTOCOL.md create mode 100644 imgs/1_config.png create mode 100644 imgs/1_ls.png create mode 100644 imgs/1_shc.png create mode 100644 imgs/2_config.png create mode 100644 imgs/2_ls.png create mode 100644 imgs/2_ls_iterations-1000.png create mode 100644 imgs/2_ls_neighbors-100.png create mode 100644 imgs/2_ls_stddev-30.png create mode 100644 imgs/2_shc.png create mode 100644 imgs/2_shc_iterations-1000.png create mode 100644 imgs/2_shc_neighbors-100.png create mode 100644 imgs/2_shc_stddev-30.png diff --git a/PROTOCOL.md b/PROTOCOL.md new file mode 100644 index 0000000..98956f2 --- /dev/null +++ b/PROTOCOL.md @@ -0,0 +1,97 @@ + + +# Protocol + +In this task, we were supposed to implement two optimization algorithms in an effort to find the minimum value of the +functions that we've worked with in the last task. The two algorithms were Local Search (LS) and Stochastic Hill +Climbing (SHC). Both of these are pretty similar, the only difference between them is that the LS algorithm includes the +center point when determining the minimum, while the SHC algorithm only considers the new points. + +From my testing, the SHC algorithm usually performed worse with the same amount of iterations, because LS was more +focused on exploring the lowest point of the minimum, while SHC often didn't and instead jumped elsewhere. + +That said, because of this fact, SHC actually performed better in cases where LS got stuck in a local minimum, as LS +can't recover from this, while SHC can. + +## Output (graphs) + +Below are a few examples of the runs I performed: + +### Sphere + +I first ran the algorithm on the sphere function, with the following settings: + +![img](./imgs/01_config.png) + +For Local Search, this was the resulting graph: + +![img](./imgs/01_ls.png) + +For Stochastic Hill Climbing, the result was this graph: + +![img](./imgs/01_shc.png) + +### Rosenbrock + +Next, I tried the Rosenbrock function, with the following settings: + +![img](./imgs/2_config.png) + +For LS, I got: + +![img](./imgs/2_ls.png) + +For SHC, I got: + +![img](./imgs/2_shc.png) + +### Further experimenting with Rosenbrock + +I also tried adjusting some of the settings with the Rosenbrock function, to compare how they affect the LS and SHC +algorithms. Each time, I only modified a single settings, with the rest matching the original Rosenbrock configuration +(already shown above). + +#### 1000 iterations + +I first tried increasing the number of iterations to 1000 (from 30). + +For LS, I got: + +![img](./imgs/2_ls_iterations-1000.png) + +for SHC, I got: + +![img](./imgs/2_shc_iterations-1000.png) + +#### 100 neighbors + +I then tried increasing the amount of neighbor points to 100 (from 3). + +For LS, I got: + +![img](./imgs/2_ls_neighbors-100.png) + +for SHC, I got: + +![img](./imgs/2_shc_neighbors-100.png) + +#### Standard deviation of 30 + +Finally, I tried increasing the standard deviation of the normal distribution to 30 (from 1.5). + +For LS, I got: + +![img](./imgs/2_ls_stddev-30.png) + +for SHC, I got: + +![img](./imgs/2_shc_stddev-30.png) diff --git a/imgs/1_config.png b/imgs/1_config.png new file mode 100644 index 0000000000000000000000000000000000000000..612782e0d4546787602da61829fe9833ec97952b GIT binary patch literal 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