diff --git a/Cargo.toml b/Cargo.toml
index 44fa244..5fc43b6 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -7,10 +7,11 @@ license = "MIT OR Apache-2.0"
 
 [dependencies]
 lapacke = "0.5"
-ndarray = { version = "0.15", features = ["approx"] }
+ndarray = { version = "0.15", features = ["approx", "blas"] }
 
 [dev-dependencies]
 approx = "0.4"
-intel-mkl-src = "0.5"
 rand = "0.8"
 time = "0.2"
+blas-src = { version = "0.8", features = ["openblas"] }
+openblas-src = { version = "0.10", features = ["cblas", "system"] }
diff --git a/examples/abcdef.rs b/examples/abcdef.rs
index cce7778..01726a0 100644
--- a/examples/abcdef.rs
+++ b/examples/abcdef.rs
@@ -1,4 +1,4 @@
-extern crate intel_mkl_src;
+extern crate blas_src;
 
 use kickscore as ks;
 
diff --git a/examples/kickscore-basics.rs b/examples/kickscore-basics.rs
index 32c84dd..e3d39a5 100644
--- a/examples/kickscore-basics.rs
+++ b/examples/kickscore-basics.rs
@@ -1,4 +1,4 @@
-extern crate intel_mkl_src;
+extern crate blas_src;
 
 use kickscore as ks;
 
diff --git a/examples/nba-history.rs b/examples/nba-history.rs
index ba023ee..ff005e4 100644
--- a/examples/nba-history.rs
+++ b/examples/nba-history.rs
@@ -1,4 +1,4 @@
-extern crate intel_mkl_src;
+extern crate blas_src;
 
 use std::cmp::Ordering;
 use std::collections::HashSet;
diff --git a/src/kernel.rs b/src/kernel.rs
index 29ebbaf..544d217 100644
--- a/src/kernel.rs
+++ b/src/kernel.rs
@@ -217,7 +217,7 @@ impl Kernel for Vec<Box<dyn Kernel>> {
 
 #[cfg(test)]
 mod tests {
-    extern crate intel_mkl_src;
+    extern crate blas_src;
 
     use approx::assert_abs_diff_eq;
     use rand::{distributions::Standard, thread_rng, Rng};
diff --git a/src/kernel/affine.rs b/src/kernel/affine.rs
index 94f1c6c..258b093 100644
--- a/src/kernel/affine.rs
+++ b/src/kernel/affine.rs
@@ -77,7 +77,7 @@ impl Kernel for Affine {
 
 #[cfg(test)]
 mod tests {
-    extern crate intel_mkl_src;
+    extern crate blas_src;
 
     use approx::assert_abs_diff_eq;
     use rand::{distributions::Standard, thread_rng, Rng};
diff --git a/src/kernel/constant.rs b/src/kernel/constant.rs
index b06111d..1340e1f 100644
--- a/src/kernel/constant.rs
+++ b/src/kernel/constant.rs
@@ -59,7 +59,7 @@ impl Kernel for Constant {
 
 #[cfg(test)]
 mod tests {
-    extern crate intel_mkl_src;
+    extern crate blas_src;
 
     use approx::assert_abs_diff_eq;
     use rand::{distributions::Standard, thread_rng, Rng};
diff --git a/src/kernel/exponential.rs b/src/kernel/exponential.rs
index 9bd05c5..cba50b0 100644
--- a/src/kernel/exponential.rs
+++ b/src/kernel/exponential.rs
@@ -62,7 +62,7 @@ impl Kernel for Exponential {
 
 #[cfg(test)]
 mod tests {
-    extern crate intel_mkl_src;
+    extern crate blas_src;
 
     use approx::assert_abs_diff_eq;
     use rand::{distributions::Standard, thread_rng, Rng};
diff --git a/src/kernel/matern32.rs b/src/kernel/matern32.rs
index bf3d468..cf63391 100644
--- a/src/kernel/matern32.rs
+++ b/src/kernel/matern32.rs
@@ -89,7 +89,7 @@ impl Kernel for Matern32 {
 
 #[cfg(test)]
 mod tests {
-    extern crate intel_mkl_src;
+    extern crate blas_src;
 
     use approx::assert_abs_diff_eq;
     use rand::{distributions::Standard, thread_rng, Rng};
diff --git a/src/kernel/matern52.rs b/src/kernel/matern52.rs
index 280def1..d4533e0 100644
--- a/src/kernel/matern52.rs
+++ b/src/kernel/matern52.rs
@@ -117,7 +117,7 @@ impl Kernel for Matern52 {
 
 #[cfg(test)]
 mod tests {
-    extern crate intel_mkl_src;
+    extern crate blas_src;
 
     use approx::assert_abs_diff_eq;
     use rand::{distributions::Standard, thread_rng, Rng};
diff --git a/src/kernel/wiener.rs b/src/kernel/wiener.rs
index 2d84abc..1a86d0a 100644
--- a/src/kernel/wiener.rs
+++ b/src/kernel/wiener.rs
@@ -68,7 +68,7 @@ impl Kernel for Wiener {
 
 #[cfg(test)]
 mod tests {
-    extern crate intel_mkl_src;
+    extern crate blas_src;
 
     use approx::assert_abs_diff_eq;
     use rand::{distributions::Standard, thread_rng, Rng};
diff --git a/src/observation/ordinal.rs b/src/observation/ordinal.rs
index 9301397..9d15bc2 100644
--- a/src/observation/ordinal.rs
+++ b/src/observation/ordinal.rs
@@ -1,7 +1,9 @@
-use std::f64::consts::TAU;
+use std::f64::consts::{SQRT_2, TAU};
 
 use crate::storage::Storage;
-use crate::utils::{logphi, normcdf, normpdf, ROOTS_HERMITENORM_WS, ROOTS_HERMITENORM_XS};
+use crate::utils::{
+    logphi, logsumexp2, normcdf, normpdf, ROOTS_HERMITENORM_WS, ROOTS_HERMITENORM_XS,
+};
 
 use super::{f_params, Core, Observation};
 
@@ -52,6 +54,66 @@ fn ll_probit_tie(x: f64, margin: f64) -> f64 {
     }
 }
 
+fn lambdas() -> [f64; 5] {
+    [
+        0.44 * SQRT_2,
+        0.41 * SQRT_2,
+        0.40 * SQRT_2,
+        0.39 * SQRT_2,
+        0.36 * SQRT_2,
+    ]
+}
+
+const CS: [f64; 5] = [
+    1.146480988574439e+02,
+    -1.508871030070582e+03,
+    2.676085036831241e+03,
+    -1.356294962039222e+03,
+    7.543285642111850e+01,
+];
+
+fn mm_logit_win(mean_cav: f64, cov_cav: f64) {
+    let mut arr1 = [0.0; 5];
+    let mut arr2 = [0.0; 5];
+    let mut arr3 = [0.0; 5];
+
+    for (i, x) in lambdas().iter().enumerate() {
+        let (a, b, c) = mm_probit_win(x * mean_cav, x * x * cov_cav);
+
+        arr1[i] = a;
+        arr2[i] = b;
+        arr3[i] = c;
+    }
+
+    let logpart1 = logsumexp2(arr1, CS);
+
+    /*
+    dlogpart1 = (np.dot(np.exp(arr1) * arr2, CS * LAMBDAS)
+                 / np.dot(np.exp(arr1), CS))
+    d2logpart1 = (np.dot(np.exp(arr1) * (arr2 * arr2 + arr3),
+                         CS * LAMBDAS * LAMBDAS)
+                  / np.dot(np.exp(arr1), CS)) - (dlogpart1 * dlogpart1)
+    */
+}
+
+fn mm_logit_tie(x: f64, margin: f64) {
+    //
+}
+
+fn ll_logit_win(x: f64, margin: f64) -> f64 {
+    let z = x - margin;
+
+    if z > 0.0 {
+        -((-z).exp().ln_1p())
+    } else {
+        z - z.exp().ln_1p()
+    }
+}
+
+fn ll_logit_tie(x: f64, margin: f64) -> f64 {
+    ll_logit_win(x, margin) + ll_logit_win(-x, margin) + (2.0 * margin).exp_m1().ln()
+}
+
 fn cvi_expectations<F>(mean: f64, var: f64, ll_fct: F) -> (f64, f64, f64)
 where
     F: Fn(f64) -> f64,
@@ -153,16 +215,20 @@ impl Observation for ProbitTieObservation {
 
 pub struct LogitWinObservation {
     core: Core,
-    _margin: f64,
+    margin: f64,
 }
 
 impl LogitWinObservation {
     pub fn new(storage: &mut Storage, elems: &[(usize, f64)], t: f64, margin: f64) -> Self {
         Self {
             core: Core::new(storage, elems, t),
-            _margin: margin,
+            margin,
         }
     }
+
+    pub fn probability(_storage: &Storage, _elems: &[(usize, f64)], _t: f64, _margin: f64) -> f64 {
+        todo!()
+    }
 }
 
 impl Observation for LogitWinObservation {
@@ -171,22 +237,30 @@ impl Observation for LogitWinObservation {
     }
 
     fn kl_update(&mut self, storage: &mut Storage, lr: f64) -> f64 {
-        self.core.kl_update(storage, lr, |mean, var| todo!())
+        let margin = self.margin;
+
+        self.core.kl_update(storage, lr, |mean, var| {
+            cvi_expectations(mean, var, |x| ll_logit_win(x, margin))
+        })
     }
 }
 
 pub struct LogitTieObservation {
     core: Core,
-    _margin: f64,
+    margin: f64,
 }
 
 impl LogitTieObservation {
     pub fn new(storage: &mut Storage, elems: &[(usize, f64)], t: f64, margin: f64) -> Self {
         Self {
             core: Core::new(storage, elems, t),
-            _margin: margin,
+            margin,
         }
     }
+
+    pub fn probability(_storage: &Storage, _elems: &[(usize, f64)], _t: f64, _margin: f64) -> f64 {
+        todo!()
+    }
 }
 
 impl Observation for LogitTieObservation {
@@ -195,7 +269,11 @@ impl Observation for LogitTieObservation {
     }
 
     fn kl_update(&mut self, storage: &mut Storage, lr: f64) -> f64 {
-        self.core.kl_update(storage, lr, |mean, var| todo!())
+        let margin = self.margin;
+
+        self.core.kl_update(storage, lr, |mean, var| {
+            cvi_expectations(mean, var, |x| ll_logit_tie(x, margin))
+        })
     }
 }
 
diff --git a/src/utils.rs b/src/utils.rs
index 9b4ee72..719e4b9 100644
--- a/src/utils.rs
+++ b/src/utils.rs
@@ -1,3 +1,4 @@
+use std::cmp::Ordering;
 use std::f64::consts::{PI, SQRT_2, TAU};
 
 use crate::math::erfc;
@@ -88,6 +89,17 @@ pub fn logphi(z: f64) -> (f64, f64) {
     }
 }
 
+pub fn logsumexp2(xs: [f64; 5], bs: [f64; 5]) -> f64 {
+    let a = xs.iter().max_by(|a, b| a.partial_cmp(b).unwrap()).unwrap();
+
+    a + bs
+        .iter()
+        .zip(xs.iter().map(|x| (x - a).exp()))
+        .map(|(b, x)| b * x)
+        .sum::<f64>()
+        .ln()
+}
+
 pub const ROOTS_HERMITENORM_XS: [f64; 30] = [
     -9.706236,
     -8.68083772,
diff --git a/tests/binary-1.rs b/tests/binary-1.rs
index 0e5dd1e..ec84cc9 100644
--- a/tests/binary-1.rs
+++ b/tests/binary-1.rs
@@ -1,4 +1,4 @@
-extern crate intel_mkl_src;
+extern crate blas_src;
 
 use kickscore as ks;
 
diff --git a/tests/kickscore-basics.rs b/tests/kickscore-basics.rs
index 8b6a1a2..2836b18 100644
--- a/tests/kickscore-basics.rs
+++ b/tests/kickscore-basics.rs
@@ -1,4 +1,4 @@
-extern crate intel_mkl_src;
+extern crate blas_src;
 
 use approx::assert_abs_diff_eq;
 use kickscore as ks;
@@ -41,5 +41,5 @@ fn kickscore_basic() {
 
     let (p_win, _p_los) = model.probabilities(&[&"Jerry"], &[&"Tom"], -1.0);
 
-    assert_abs_diff_eq!(p_win, 0.903756079972532, epsilon = f64::EPSILON);
+    assert_abs_diff_eq!(p_win, 0.9037560799725326, epsilon = f64::EPSILON);
 }
diff --git a/tests/nba-history.rs b/tests/nba-history.rs
index f21c57c..f32a126 100644
--- a/tests/nba-history.rs
+++ b/tests/nba-history.rs
@@ -1,4 +1,4 @@
-extern crate intel_mkl_src;
+extern crate blas_src;
 
 use std::cmp::Ordering;
 use std::collections::HashSet;