diff --git a/open_diloco/train_fsdp.py b/open_diloco/train_fsdp.py
index fdb1c5f..bc96950 100644
--- a/open_diloco/train_fsdp.py
+++ b/open_diloco/train_fsdp.py
@@ -7,6 +7,7 @@
 """
 
 from functools import partial
+import math
 import os
 import time
 from contextlib import nullcontext
@@ -28,7 +29,6 @@
     DataCollatorForLanguageModeling,
     LlamaConfig,
     LlamaForCausalLM,
-    get_cosine_schedule_with_warmup,
 )
 from torch.distributed.fsdp import (
     FullyShardedDataParallel as FSDP,
@@ -39,7 +39,7 @@
 from torch.distributed import broadcast_object_list
 from open_diloco.ckpt_utils import load_checkpoint, save_checkpoint
 from open_diloco.hivemind_diloco import AllReduceStrategy, DiLoCoOptimizer
-
+from torch.optim.lr_scheduler import LambdaLR
 
 from hivemind.dht.dht import DHT
 from hivemind.utils.networking import log_visible_maddrs
@@ -105,6 +105,7 @@ class HvConfig(BaseConfig):
     skip_load_from_peers: bool = False
     world_rank: int
     galaxy_size: int
+    warmup_outerstep: int = 10
 
     @model_validator(mode="before")
     def cast_str_to_list(cls, values: dict[str, Any]) -> dict[str, Any]:
@@ -189,6 +190,40 @@ def get_model(config: Config) -> LlamaForCausalLM:
     return LlamaForCausalLM.from_pretrained(pretrained_model_name_or_path=config.path_model, config=config_model)
 
 
+def _get_cosine_schedule_with_warmup_lr_lambda(
+    current_step: int,
+    *,
+    num_warmup_steps: int,
+    num_training_steps: int,
+    num_inner_steps: int,
+    warmup_outerstep: int | None,
+    num_cycles: float,
+    min_lr_rate: float = 0.0,
+):
+    if current_step < num_warmup_steps:
+        return float(current_step) / float(max(1, num_warmup_steps))
+
+    if warmup_outerstep is not None and current_step % num_inner_steps < warmup_outerstep:
+        return 0
+
+    progress = float(current_step - num_warmup_steps) / float(max(1, num_training_steps - num_warmup_steps))
+    factor = 0.5 * (1.0 + math.cos(math.pi * float(num_cycles) * 2.0 * progress))
+    factor = factor * (1 - min_lr_rate) + min_lr_rate
+    return max(0, factor)
+
+
+def get_cosine_schedule_with_warmup(optimizer, config: Config):
+    lambda_lr = partial(
+        _get_cosine_schedule_with_warmup_lr_lambda,
+        num_warmup_steps=config.warmup_steps,
+        num_training_steps=config.total_steps,
+        num_inner_steps=config.hv.local_steps,
+        warmup_outerstep=config.hv.warmup_outerstep,
+        num_cycles=0.5,
+    )
+    return LambdaLR(optimizer, lambda_lr, -1)
+
+
 def train(config: Config):
     sharding_strategy = get_sharding_strategy(config.sharding_strategy)
     local_rank = int(os.environ["LOCAL_RANK"])
@@ -280,8 +315,7 @@ def train(config: Config):
     def scheduler_fn(opt):
         return get_cosine_schedule_with_warmup(
             opt,
-            num_warmup_steps=config.warmup_steps,
-            num_training_steps=config.total_steps,
+            config=config,
         )
 
     if config.hv is not None: