use crate::error::{MLError, Result};
use quantrs2_circuit::prelude::Circuit;
use quantrs2_sim::statevector::StateVectorSimulator;
use scirs2_core::ndarray::{Array1, Array2};
#[derive(Debug, Clone, Copy)]
pub enum KernelMethod {
Linear,
Polynomial,
RBF,
QuantumKernel,
HybridKernel,
}
pub trait KernelFunction {
fn compute(&self, x1: &Array1<f64>, x2: &Array1<f64>) -> Result<f64>;
fn compute_matrix(&self, x: &Array2<f64>) -> Result<Array2<f64>> {
let n = x.nrows();
let mut kernel_matrix = Array2::zeros((n, n));
for i in 0..n {
let x_i = x.row(i).to_owned();
for j in 0..=i {
let x_j = x.row(j).to_owned();
let k_ij = self.compute(&x_i, &x_j)?;
kernel_matrix[[i, j]] = k_ij;
if i != j {
kernel_matrix[[j, i]] = k_ij; }
}
}
Ok(kernel_matrix)
}
}
#[derive(Debug, Clone)]
pub struct LinearKernel;
impl KernelFunction for LinearKernel {
fn compute(&self, x1: &Array1<f64>, x2: &Array1<f64>) -> Result<f64> {
if x1.len() != x2.len() {
return Err(MLError::InvalidParameter(format!(
"Vector dimensions mismatch: {} != {}",
x1.len(),
x2.len()
)));
}
let dot_product = x1.iter().zip(x2.iter()).map(|(&a, &b)| a * b).sum();
Ok(dot_product)
}
}
#[derive(Debug, Clone)]
pub struct PolynomialKernel {
pub degree: usize,
pub coef: f64,
}
impl PolynomialKernel {
pub fn new(degree: usize, coef: f64) -> Self {
PolynomialKernel { degree, coef }
}
}
impl KernelFunction for PolynomialKernel {
fn compute(&self, x1: &Array1<f64>, x2: &Array1<f64>) -> Result<f64> {
if x1.len() != x2.len() {
return Err(MLError::InvalidParameter(format!(
"Vector dimensions mismatch: {} != {}",
x1.len(),
x2.len()
)));
}
let dot_product = x1.iter().zip(x2.iter()).map(|(&a, &b)| a * b).sum::<f64>();
let value = (dot_product + self.coef).powi(self.degree as i32);
Ok(value)
}
}
#[derive(Debug, Clone)]
pub struct RBFKernel {
pub gamma: f64,
}
impl RBFKernel {
pub fn new(gamma: f64) -> Self {
RBFKernel { gamma }
}
}
impl KernelFunction for RBFKernel {
fn compute(&self, x1: &Array1<f64>, x2: &Array1<f64>) -> Result<f64> {
if x1.len() != x2.len() {
return Err(MLError::InvalidParameter(format!(
"Vector dimensions mismatch: {} != {}",
x1.len(),
x2.len()
)));
}
let squared_distance = x1
.iter()
.zip(x2.iter())
.map(|(&a, &b)| (a - b).powi(2))
.sum::<f64>();
let value = (-self.gamma * squared_distance).exp();
Ok(value)
}
}
#[derive(Debug, Clone)]
pub struct QuantumKernel {
pub num_qubits: usize,
pub feature_dim: usize,
pub num_measurements: usize,
}
impl QuantumKernel {
pub fn new(num_qubits: usize, feature_dim: usize) -> Self {
QuantumKernel {
num_qubits,
feature_dim,
num_measurements: 1000,
}
}
pub fn with_measurements(mut self, num_measurements: usize) -> Self {
self.num_measurements = num_measurements;
self
}
fn encode_features<const N: usize>(
&self,
features: &Array1<f64>,
circuit: &mut Circuit<N>,
) -> Result<()> {
for i in 0..N.min(features.len()) {
let angle = features[i] * std::f64::consts::PI;
circuit.ry(i, angle)?;
}
Ok(())
}
fn prepare_kernel_circuit<const N: usize>(
&self,
x1: &Array1<f64>,
x2: &Array1<f64>,
) -> Result<Circuit<N>> {
let mut circuit = Circuit::<N>::new();
for i in 0..N.min(self.num_qubits) {
circuit.h(i)?;
}
self.encode_features(x1, &mut circuit)?;
for i in 0..N.min(self.num_qubits) {
circuit.x(i)?;
}
self.encode_features(x2, &mut circuit)?;
for i in 0..N.min(self.num_qubits) {
circuit.h(i)?;
}
Ok(circuit)
}
}
impl KernelFunction for QuantumKernel {
fn compute(&self, x1: &Array1<f64>, x2: &Array1<f64>) -> Result<f64> {
if x1.len() != x2.len() {
return Err(MLError::InvalidParameter(format!(
"Vector dimensions mismatch: {} != {}",
x1.len(),
x2.len()
)));
}
if x1.len() != self.feature_dim {
return Err(MLError::InvalidParameter(format!(
"Feature dimension mismatch: {} != {}",
x1.len(),
self.feature_dim
)));
}
let dot_product = x1.iter().zip(x2.iter()).map(|(&a, &b)| a * b).sum::<f64>();
let similarity = dot_product.abs().min(1.0);
Ok(similarity)
}
}