User talk:Chase-san/Kd-Tree

NullPointerExceptions and inaccuracy

Trying to test your Kd-Tree in the benchmark framework, I'm getting some NullPointerExceptions due to right.rect.getNearest(k) returning null sometimes. I don't know if it's the proper fix, I changed the relevant lines to be like:

PointKD p = right.rect.getNearest(k);
if(p != null && k.distanceSq(p) < t) {

Something else is wrong also I believe, because it's only getting "88% accuracy" out of the benchmark results, so it's not finding all of the nearest neighbors correctly. --Rednaxela 22:23, 1 March 2010 (UTC)

K-NEAREST NEIGHBOURS ALGORITHMS BENCHMARK
-----------------------------------------
Reading data from gun-data-Diamond-vs-jk.mini.CunobelinDC 0.3.csv.gz
Read 25621 saves and 10300 searches.

Running 20 repetition(s) for k-nearest neighbours searching:
:: 13 dimension(s); 10 neighbour(s)

RESULT << k-nearest neighbours search with Chase-san's kd-tree (KDTreeC) >>
: Average searching time       = 0.0776 miliseconds
: Average worst searching time = 11.1474 miliseconds
: Average adding time          = 1.5965 microseconds
: Accuracy                     = 100.0%

RESULT << k-nearest neighbours search with Chase-san's kd-tree (KDTreeF) >>
: Average searching time       = 0.0259 miliseconds
: Average worst searching time = 1.0691 miliseconds
: Average adding time          = 1.5182 microseconds
: Accuracy                     = 100.0%

RESULT << k-nearest neighbours search with duyn's basic kd-tree >>
: Average searching time       = 0.2016 miliseconds
: Average worst searching time = 10.4197 miliseconds
: Average adding time          = 0.8725 microseconds
: Accuracy                     = 100.0%

RESULT << k-nearest neighbours search with duyn's fast kd-tree >>
: Average searching time       = 0.0245 miliseconds
: Average worst searching time = 10.5265 miliseconds
: Average adding time          = 3.4632 microseconds
: Accuracy                     = 100.0%

RESULT << k-nearest neighbours search with duyn's optimised kd-tree >>
: Average searching time       = 0.0264 miliseconds
: Average worst searching time = 13.8944 miliseconds
: Average adding time          = 3.4938 microseconds
: Accuracy                     = 100.0%

RESULT << k-nearest neighbours search with Voidious' Linear search >>
: Average searching time       = 0.4874 miliseconds
: Average worst searching time = 14.7098 miliseconds
: Average adding time          = 1.0922 microseconds
: Accuracy                     = 100.0%

RESULT << k-nearest neighbours search with Nat's Bucket PR k-d tree >>
: Average searching time       = 0.2280 miliseconds
: Average worst searching time = 188.3711 miliseconds
: Average adding time          = 27.4455 microseconds
: Accuracy                     = 27.12%

RESULT << k-nearest neighbours search with Rednaxela's kd-tree (2nd gen) >>
: Average searching time       = 0.0183 miliseconds
: Average worst searching time = 1.8054 miliseconds
: Average adding time          = 1.8136 microseconds
: Accuracy                     = 100.0%

RESULT << k-nearest neighbours search with Rednaxela's kd-tree (3rd gen, iterated) >>
: Average searching time       = 0.0183 miliseconds
: Average worst searching time = 11.8064 miliseconds
: Average adding time          = 1.9969 microseconds
: Accuracy                     = 100.0%

RESULT << k-nearest neighbours search with Rednaxela's kd-tree (3rd gen) >>
: Average searching time       = 0.0155 miliseconds
: Average worst searching time = 2.7069 miliseconds
: Average adding time          = 2.4344 microseconds
: Accuracy                     = 100.0%

RESULT << k-nearest neighbours search with Simonton's Bucket PR k-d tree >>
: Average searching time       = 0.1336 miliseconds
: Average worst searching time = 12.6894 miliseconds
: Average adding time          = 4.1237 microseconds
: Accuracy                     = 100.0%

RESULT << k-nearest neighbours search with Voidious' Bucket PR k-d tree >>
: Average searching time       = 0.1115 miliseconds
: Average worst searching time = 8.2543 miliseconds
: Average adding time          = 2.2128 microseconds
: Accuracy                     = 100.0%


BEST RESULT: 
 - #1 Rednaxela's kd-tree (3rd gen) [0.0155]
 - #2 Rednaxela's kd-tree (2nd gen) [0.0183]
 - #3 Rednaxela's kd-tree (3rd gen, iterated) [0.0183]
 - #4 duyn's fast kd-tree [0.0245]
 - #5 Chase-san's kd-tree (KDTreeF) [0.0259]
 - #6 duyn's optimised kd-tree [0.0264]
 - #7 Chase-san's kd-tree (KDTreeC) [0.0776]
 - #8 Voidious' Bucket PR k-d tree [0.1115]
 - #9 Simonton's Bucket PR k-d tree [0.1336]
 - #10 duyn's basic kd-tree [0.2016]
 - #11 Nat's Bucket PR k-d tree [0.2280]
 - #12 Voidious' Linear search [0.4874]

Benchmark running time: 450.15 seconds

Really managed to hammer down the worst average time. As well as 1/3rd the best time. Still not really on par with Rednaxela's tree though.

Nice stuff! With that graph, it looks like the place you have the most room to squeeze out more performance if you wish to, is by refactoring the code so that the JIT gets it optimized sooner. Having the lowest time in those first few searches is certainly neat, and perhaps is the most important thing in the robocode context as that's the most likely time for a kd-tree to lead to a skipped turn. I wonder what it took to get that down and how much that is dataset specific.

But on the inverse you have a smaller data set earlier on. So it might balance out to a point. But I do intend to work on that a bit. I actually originally tuned with a random data set.

Also the current tree is based off C but I removed the Item class and altered the return to use a heap. Though I was considering having it interface with SortedMap and just returning that interface. So that I could avoid the issue of defining an external class.

I am mulling around how to redesign my tree so that it works better with the JIT, and so I create/destroy fewer objects (which should save some time).