### Trie Data Structure.

Context FlashText (GitHub, algorithm) uses tries to identify strings faster than regular expressions. The authors of FlashText chose a trie over regular expressions so that the time needed for to locate or replace a keyword did not increase with the size of the document. I think FlashText could be useful for keyword retrieval in Psychic Llama, the identification of KOLs, or my investigation of DNP doses mentioned online.

Introduction

A trie is a tree whose nodes store letters. One can re_trie_ve tokens from the trie by traversing a certain path. A word made of n letters is represented by a trie of depth n. Each level has all the letters needed to represent the tokens of interest. This, as an aside, makes tries a natural source for text for autocompletes.

(I first thought each node would need 26 children, but I then realized that not all letter combinations are possible.) The user, moreover, is likely to be intereted in a subset of all possible combinations of letters.

class TrieNode(object):
def __init__(self, symbol=None, alphabet_length=26):
self.symbol= symbol
self.children = [None]*alphabet_length
//Implicit coding of {0:A, 1:B,...}


We can also add a counter to identify frequently used nodes.

self.counter = 0


The root of a trie contains references to its chlidren. It is otherwise empty.

root = TrieNode(value = "")


We add a node to a trie by starting at the root, and successively adding characters that do not appear in a branch.

   def add(root, token):
node = root // set current node to root
for symbol in token:
found = False //Cannot find anything in root. It has empty value.
for child in node.children:
while not found:
if child.symbol == symbol:
child.counter += 1
node = child
//Sequence does not exist in trie
if not found:
new_node = TrieNode(symbol=symbol)
node.children.append(new_node)
node = new_node



We traverse the trie (retrieve a string) by:

def find(root, prefix):
node = root
if not root.children: #Cannot traverse an empty trie
return (False,0)
for symbol in prefix:
found = False
for child in node.children:
while not found:
if child.symbol == symbol:
found = True
node = child
if not found:
return (False,0)



Production Notes

1. Link to (description of?) Psychic Llama
2. Link to (description of?) creation of KOL software
3. Link to DNP project