Consider you are given n data points in the form of list of tuples like S=[(x1,y1),(x2,y2),(x3,y3),(x4,y4),(x5,y5),…,(xn,yn)] and a point P=(p,q)
your task is to find 5 closest points(based on cosine distance) in S from P
Cosine distance between two points (x,y) and (p,q) is defined as
co
s
−1
(
(x⋅p+y⋅q)
(
√
x
2
+
y
2
)⋅
(
√
p
2
+
q
2
)
)
cos−1((x⋅p+y⋅q)(x2+y2)⋅(p2+q2))
Ex:
S= [(1,2),(3,4),(-1,1),(6,-7),(0, 6),(-5,-8),(-1,-1)(6,0),(1,-1)]
P= (3,-4)
Output:
(6,-7)
(1,-1)
(6,0)
(-5,-8)
(-1,-1)