diff --git a/ohara/dpo.py b/ohara/dpo.py
index 26ece66..2f1741d 100644
--- a/ohara/dpo.py
+++ b/ohara/dpo.py
@@ -3,68 +3,117 @@
 import torch.nn.functional as F
 import torch.optim as optim
 
+from torch import Tensor
 
-## TODO WR
-class Network(nn.Module):
-    def __init__(self, dim, hdim):
-        super().__init__()
-        self.up = nn.Linear(dim, dim)
-        self.down = nn.Linear(dim, dim)
+#######################################################################################################
+# https://arxiv.org/pdf/2305.18290 
+# ... eqn 7
+# dpo_loss = - log( sigmoid( beta * (  log(pi_win/ref_win) - log(pi_lose /ref_lose)  ) ) )
+#
+# remember log property: log(x/y) = log(x) - log(y)
+# lets start witn sub eq,
+# =  log(pi_win/ref_win) - log(pi_lose /ref_lose)
+# = log( (pi_win/ref_win) /  ( pi_lose /ref_lose) )
+# = log( (pi_win/ref_win) *  ( ref_lose / pi_lose) )
+# = log( (pi_win/ ref_win) *  ( ref_lose / ref_win) )
+# = log( (pi_win/ ref_win) /  (   ref_win/ ref_lose) )
+# = log(pi_win/ ref_win) - log(ref_win/ ref_lose)
+# = (log(pi_win) - log(ref_win) ) -  (log(ref_win) - log(ref_lose))
+#
+# so now we have
+# logits = win_logprop - lose_logprop
+# where:
+# win_logprop = log(pi_win) - log(ref_win)
+# lose_logprop = log(ref_win) - log(ref_lose)
+#
+# and eqn is
+# dpo_loss = - log(sigmoid(beta * logits))
 
-    def forward(self, x):
-        x = self.up(x)
-        x = F.silu(x)
-        return self.down(x)
 
+def dpo_loss(
+    pi_logps:Tensor,
+    ref_logps:Tensor, 
+    win_output_idxs:Tensor, 
+    lose_output_idxs:Tensor,
+    beta:float
+    ) -> tuple[Tensor, Tensor]:
+    """
+    paper: https://arxiv.org/pdf/2305.18290.pdf
+    """
 
-def log_prob(logits, labels):
-    return torch.gather(logits.log_softmax(-1), dim=2, index=labels.unsqueeze(2)).squeeze(2)
+    # extracting only outputs log probabilities
+    pi_win_logps, pi_lose_logps = pi_logps[win_output_idxs], pi_logps[lose_output_idxs]
+    ref_win_logps, ref_lose_logps = ref_logps[win_output_idxs], ref_logps[lose_output_idxs]
+    
+    # log(a/b) = log(a) - log(b)
+    
+    pi_logratios = pi_win_logps - pi_lose_logps
+    ref_logratios = ref_win_logps - ref_lose_logps
+    
+    logits = pi_logratios - ref_logratios
+    
+    # Dpo loss = - log( sigmoid(beta)
+    losses: Tensor = -F.logsigmoid(beta * logits)
+    rewards: Tensor = beta * (pi_logps - ref_logps).detach()
+    return losses, rewards
 
 
-dim = 10
-seq = 3
-batch = 1
+def cdpo_loss(
+    pi_logps:Tensor,
+    ref_logps:Tensor, 
+    win_output_idxs:Tensor, 
+    lose_output_idxs:Tensor,
+    beta:float,
+    label_smoothing=0.2,
+    ) -> tuple[Tensor, Tensor]:
+    """
+    paper:https://ericmitchell.ai/cdpo.pdf
+    """
 
-policy = Network(dim, dim)
-ref_model = Network(dim, dim)
-ref_model.load_state_dict(policy.state_dict())
-ref_model = ref_model.eval()
+    # extracting only outputs log probabilities
+    pi_win_logps, pi_lose_logps = pi_logps[win_output_idxs], pi_logps[lose_output_idxs]
+    ref_win_logps, ref_lose_logps = ref_logps[win_output_idxs], ref_logps[lose_output_idxs]
+    
+    # log(a/b) = log(a) - log(b)
+    
+    pi_logratios = pi_win_logps - pi_lose_logps
+    ref_logratios = ref_win_logps - ref_lose_logps
+    
+    logits = pi_logratios - ref_logratios
+    
+    # Dpo loss = - log( sigmoid(beta)
+    losses: Tensor = (
+        -F.logsigmoid(beta * logits) * (1 - label_smoothing)
+        - F.logsigmoid(-beta * logits) * label_smoothing
+    )
+    rewards: Tensor = beta * (pi_logps - ref_logps).detach()
+    return losses, rewards
 
-optimizer = optim.AdamW(policy.parameters(), lr=1e-2)
-labels = torch.tensor([1, 2, 3]).unsqueeze(0)
-inputs = torch.rand((batch, seq, dim))
 
-for _idx in range(100):
-    logits = policy(inputs)
-    pi = log_prob(logits, labels).sum()
-    with torch.no_grad():
-        logits = ref_model(inputs)
-        ref = log_prob(logits, labels).sum()
+def ipo_loss(
+    pi_logps:Tensor,
+    ref_logps:Tensor, 
+    win_output_idxs:Tensor, 
+    lose_output_idxs:Tensor,
+    beta:float
+    ) -> tuple[Tensor, Tensor]:
+    """
+    paper: https://arxiv.org/pdf/2310.12036v2.pdf
+    """
 
-    # print(pi, ref, pi - ref)
-    loss = F.sigmoid(pi - ref)
-    print(loss)
-    loss.backward()
-    optimizer.step()
-    optimizer.zero_grad()
+    # extracting only outputs log probabilities
+    pi_win_logps, pi_lose_logps = pi_logps[win_output_idxs], pi_logps[lose_output_idxs]
+    ref_win_logps, ref_lose_logps = ref_logps[win_output_idxs], ref_logps[lose_output_idxs]
+    
+    # log(a/b) = log(a) - log(b)
+    
+    pi_logratios = pi_win_logps - pi_lose_logps
+    ref_logratios = ref_win_logps - ref_lose_logps
+    
+    logits = pi_logratios - ref_logratios
+    
+    # Dpo loss = - log( sigmoid(beta)
+    losses: Tensor = (logits - 1/(2 * beta)) ** 2 
+    rewards: Tensor = beta * (pi_logps - ref_logps).detach()
+    return losses, rewards
 
-
-class MoE(nn.Module):
-    def __init__(self, input_dim, output_dim, num_experts, hidden_dim):
-        super(MoE, self).__init__()
-        self.num_experts = num_experts
-        self.experts = nn.ModuleList(
-            [
-                nn.Sequential(
-                    nn.Linear(input_dim, hidden_dim), nn.ReLU(), nn.Linear(hidden_dim, output_dim)
-                )
-                for _ in range(num_experts)
-            ]
-        )
-        self.gate = nn.Linear(input_dim, num_experts)
-
-    def forward(self, x):
-        gate_outputs = F.softmax(self.gate(x), dim=-1)
-        expert_outputs = torch.stack([expert(x) for expert in self.experts], dim=1)
-        output = torch.sum(gate_outputs.unsqueeze(-1) * expert_outputs, dim=1)
-        return output