pub enum NcdVariant {
Vitanyi,
SymVitanyi,
Cons,
SymCons,
}Expand description
—–– NCD (Normalized Compression Distance) ——
NCD is a parameter-free similarity metric based on Kolmogorov complexity.
Since Kolmogorov complexity K(x) is uncomputable, we approximate it using
the compressed size C(x) provided by a real-world compressor (here, ZPAQ).
The general form is:
NCD(x,y) = (C(xy) - min(C(x), C(y))) / max(C(x), C(y))
Different variants handle normalization and symmetry differently.
Variants§
Vitanyi
Standard Vitanyi NCD:
NCD(x,y) = (C(xy) - min(C(x), C(y))) / max(C(x), C(y))
Note: C(xy) denotes compressing the concatenation of x and y.
SymVitanyi
Symmetric Vitanyi NCD:
NCD_sym(x,y) = (min(C(xy), C(yx)) - min(C(x), C(y))) / max(C(x), C(y))
Takes the best compression of xy or yx to ensure symmetry even if the compressor is not symmetric.
Cons
Conservative NCD:
NCD_cons(x,y) = (C(xy) - min(C(x), C(y))) / C(xy)
Normalizes by the joint compressed size instead of the max marginal.
SymCons
Symmetric Conservative NCD:
NCD_sym_cons(x,y) = (min(C(xy), C(yx)) - min(C(x), C(y))) / min(C(xy), C(yx))
Trait Implementations§
Source§impl Clone for NcdVariant
impl Clone for NcdVariant
Source§fn clone(&self) -> NcdVariant
fn clone(&self) -> NcdVariant
1.0.0 · Source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
source. Read moreSource§impl Debug for NcdVariant
impl Debug for NcdVariant
Source§impl PartialEq for NcdVariant
impl PartialEq for NcdVariant
impl Copy for NcdVariant
impl Eq for NcdVariant
impl StructuralPartialEq for NcdVariant
Auto Trait Implementations§
impl Freeze for NcdVariant
impl RefUnwindSafe for NcdVariant
impl Send for NcdVariant
impl Sync for NcdVariant
impl Unpin for NcdVariant
impl UnwindSafe for NcdVariant
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