diff --git a/src/pyjuice/layer/sum_layer.py b/src/pyjuice/layer/sum_layer.py
index 0e8269a6..8dd874a6 100644
--- a/src/pyjuice/layer/sum_layer.py
+++ b/src/pyjuice/layer/sum_layer.py
@@ -1495,13 +1495,13 @@ def _bk_triton_block_sparse_par_kernel(node_flows, node_mars, element_mars, para
         acc = tl.zeros([TILE_SIZE_M, TILE_SIZE_K], dtype = tl.float32)
         
         for b in range(0, B_NUM_TILES):
-            emars = tl.load(emars_ptr, mask = mask_batch[:,None]) # [TILE_SIZE_B, TILE_SIZE_K]
+            emars = tl.load(emars_ptr, mask = mask_batch[:,None], other = 0.0) # [TILE_SIZE_B, TILE_SIZE_K]
 
             if allow_modify_flows == 1:
-                log_n_fdm = tl.load(nflows_ptr, mask = mask_batch[None,:]) # [TILE_SIZE_M, TILE_SIZE_B]
+                log_n_fdm = tl.load(nflows_ptr, mask = mask_batch[None,:], other = -float("inf")) # [TILE_SIZE_M, TILE_SIZE_B]
             else:
-                nflows = tl.load(nflows_ptr, mask = mask_batch[None,:]) # [TILE_SIZE_M, TILE_SIZE_B]
-                nmars = tl.load(nmars_ptr, mask = mask_batch[None,:]) # [TILE_SIZE_M, TILE_SIZE_B]
+                nflows = tl.load(nflows_ptr, mask = mask_batch[None,:], other = 0.0) # [TILE_SIZE_M, TILE_SIZE_B]
+                nmars = tl.load(nmars_ptr, mask = mask_batch[None,:], other = 0.0) # [TILE_SIZE_M, TILE_SIZE_B]
                 log_n_fdm = tl.log(nflows) - nmars
 
             log_n_fdm_max = tl.max(log_n_fdm, axis = 0)
@@ -1574,13 +1574,13 @@ def _bk_triton_block_sparse_par_csmm2_kernel(node_flows, node_mars, element_mars
         acc = tl.zeros([TILE_SIZE_M, TILE_SIZE_K], dtype = tl.float32)
         
         for b in range(0, B_NUM_TILES):
-            emars = tl.load(emars_ptr, mask = mask_batch[:,None]) # [TILE_SIZE_B, TILE_SIZE_K]
+            emars = tl.load(emars_ptr, mask = mask_batch[:,None], other = 0.0) # [TILE_SIZE_B, TILE_SIZE_K]
 
             if allow_modify_flows == 1:
-                log_n_fdm = tl.load(nflows_ptr, mask = mask_batch[:,None]) # [TILE_SIZE_B, TILE_SIZE_M]
+                log_n_fdm = tl.load(nflows_ptr, mask = mask_batch[:,None], other = -float("inf")) # [TILE_SIZE_B, TILE_SIZE_M]
             else:
-                nflows = tl.load(nflows_ptr, mask = mask_batch[:,None]) # [TILE_SIZE_B, TILE_SIZE_M]
-                nmars = tl.load(nmars_ptr, mask = mask_batch[:,None]) # [TILE_SIZE_B, TILE_SIZE_M]
+                nflows = tl.load(nflows_ptr, mask = mask_batch[:,None], other = 0.0) # [TILE_SIZE_B, TILE_SIZE_M]
+                nmars = tl.load(nmars_ptr, mask = mask_batch[:,None], other = 0.0) # [TILE_SIZE_B, TILE_SIZE_M]
                 log_n_fdm = tl.log(nflows) - nmars
 
             log_n_fdm_max = tl.max(log_n_fdm, axis = 1)
@@ -1901,14 +1901,14 @@ def _bk_triton_sparse_par_kernel(node_flows, node_mars, element_mars, params, pa
             offs_batch = tl.arange(0, BLOCK_B) + pid_b * TILE_SIZE_B + b * BLOCK_B
             mask_batch = offs_batch < batch_size
 
-            emars = tl.load(emars_ptr, mask = mask_batch[None,:]) # [BLOCK_K, BLOCK_B]
+            emars = tl.load(emars_ptr, mask = mask_batch[None,:], other = -float("inf")) # [BLOCK_K, BLOCK_B]
 
             if allow_modify_flows == 1:
                 log_n_fdm = tl.load(nflows_ptr, mask = mask_batch) # [BLOCK_B]
                 pflows = tl.sum(tl.exp(emars + log_n_fdm[None,:]), axis = 1)
             else:
-                nmars = tl.load(nmars_ptr, mask = mask_batch) # [BLOCK_B]
-                nflows = tl.load(nflows_ptr, mask = mask_batch) # [BLOCK_B]
+                nmars = tl.load(nmars_ptr, mask = mask_batch, other = 0.0) # [BLOCK_B]
+                nflows = tl.load(nflows_ptr, mask = mask_batch, other = 0.0) # [BLOCK_B]
                 pflows = tl.sum(nflows[None,:] * tl.exp(emars - nmars[None,:]), axis = 1)
 
             acc += pflows
@@ -1984,6 +1984,7 @@ def _backward_sparse_par_flows(self, node_flows: torch.Tensor, params: torch.Ten
         grid = (B_NUM_TILES, K_NUM_BLOCKS, layer_n_nodes)
 
         self._bk_triton_sparse_par_kernel[grid](
+            ddd = ddd,
             node_flows = node_flows, 
             node_mars = node_mars, 
             element_mars = element_mars,