diff --git a/src/cryo_challenge/_commands/run_svd.py b/src/cryo_challenge/_commands/run_svd.py
index 3a73204..e74df38 100644
--- a/src/cryo_challenge/_commands/run_svd.py
+++ b/src/cryo_challenge/_commands/run_svd.py
@@ -35,7 +35,7 @@ def main(args):
     with open(args.config, "r") as file:
         config = yaml.safe_load(file)
 
-    config = SVDConfig(**config).dict()
+    config = SVDConfig(**config).model_dump()
 
     warnexists(config["output_params"]["output_file"])
     mkbasedir(os.path.dirname(config["output_params"]["output_file"]))
diff --git a/src/cryo_challenge/_svd/svd_pipeline.py b/src/cryo_challenge/_svd/svd_pipeline.py
index 50ba226..adccb2d 100644
--- a/src/cryo_challenge/_svd/svd_pipeline.py
+++ b/src/cryo_challenge/_svd/svd_pipeline.py
@@ -6,7 +6,12 @@
     compute_common_embedding,
     project_to_gt_embedding,
 )
-from .svd_plots import plot_distance_matrix, plot_common_embedding, plot_gt_embedding
+from .svd_plots import (
+    plot_distance_matrix,
+    plot_common_embedding,
+    plot_gt_embedding,
+    plot_common_eigenvectors,
+)
 from ..data._io.svd_io_utils import load_submissions_svd, load_gt_svd
 
 
@@ -33,25 +38,43 @@ def run_svd_with_ref(config: dict):
     torch.save(results, config["output_params"]["output_file"])
 
     if config["output_params"]["generate_plots"]:
+        outputs_fname_nopath_noext = os.path.basename(
+            config["output_params"]["output_file"]
+        )
+        outputs_fname_nopath_noext = os.path.splitext(outputs_fname_nopath_noext)[0]
+        path_plots = os.path.join(outputs_path, f"plots_{outputs_fname_nopath_noext}")
+
+        os.makedirs(path_plots, exist_ok=True)
+
+        print("Plotting distance matrix")
         plot_distance_matrix(
             dist_mtx_results["dist_matrix"],
             dist_mtx_results["labels"],
-            "SVD Distance Matrix",
-            save_path=os.path.join(outputs_path, "svd_distance_matrix.png"),
+            title="SVD Distance Matrix",
+            save_path=os.path.join(path_plots, "svd_distance_matrix.png"),
         )
 
+        print("Plotting common embedding")
         plot_common_embedding(
             submissions_data,
             common_embedding_results,
-            "Common Embedding between submissions",
-            save_path=os.path.join(outputs_path, "common_embedding.png"),
+            title="Common Embedding between submissions",
+            save_path=os.path.join(path_plots, "common_embedding.png"),
         )
 
+        print("Plotting gt embedding")
         plot_gt_embedding(
             submissions_data,
             gt_embedding_results,
-            "",
-            save_path=os.path.join(outputs_path, "gt_embedding.png"),
+            title="",
+            save_path=os.path.join(path_plots, "gt_embedding.png"),
+        )
+
+        print("Plotting common eigenvectors")
+        plot_common_eigenvectors(
+            common_embedding_results["common_eigenvectors"],
+            title="Common Eigenvectors between submissions",
+            save_path=os.path.join(path_plots, "common_eigenvectors.png"),
         )
 
     return
@@ -62,11 +85,11 @@ def run_svd_noref(config: dict):
 
     submissions_data = load_submissions_svd(config)
     dist_mtx_results = compute_distance_matrix(submissions_data)
-    common_embeddings_results = compute_common_embedding(submissions_data)
+    common_embedding_results = compute_common_embedding(submissions_data)
 
     results = {
         "distance_matrix_results": dist_mtx_results,
-        "common_embedding_results": common_embeddings_results,
+        "common_embedding_results": common_embedding_results,
     }
 
     if config["output_params"]["save_svd_data"]:
@@ -75,18 +98,35 @@ def run_svd_noref(config: dict):
     torch.save(results, config["output_params"]["output_file"])
 
     if config["output_params"]["generate_plots"]:
+        outputs_fname_nopath_noext = os.path.basename(
+            config["output_params"]["output_file"]
+        )
+        outputs_fname_nopath_noext = os.path.splitext(outputs_fname_nopath_noext)[0]
+        path_plots = os.path.join(outputs_path, f"plots_{outputs_fname_nopath_noext}")
+        os.makedirs(path_plots, exist_ok=True)
+
+        print("Plotting distance matrix")
+
         plot_distance_matrix(
             dist_mtx_results["dist_matrix"],
             dist_mtx_results["labels"],
             "SVD Distance Matrix",
-            save_path=os.path.join(outputs_path, "svd_distance_matrix.png"),
+            save_path=os.path.join(path_plots, "svd_distance_matrix.png"),
         )
 
+        print("Plotting common embedding")
         plot_common_embedding(
             submissions_data,
-            common_embeddings_results,
+            common_embedding_results,
             "Common Embedding between submissions",
-            save_path=os.path.join(outputs_path, "common_embedding.png"),
+            save_path=os.path.join(path_plots, "common_embedding.png"),
+        )
+
+        print("Plotting common eigenvectors")
+        plot_common_eigenvectors(
+            common_embedding_results["common_eigenvectors"],
+            title="Common Eigenvectors between submissions",
+            save_path=os.path.join(path_plots, "common_eigenvectors.png"),
         )
 
     return
diff --git a/src/cryo_challenge/_svd/svd_plots.py b/src/cryo_challenge/_svd/svd_plots.py
index 5cc7770..965cbd0 100644
--- a/src/cryo_challenge/_svd/svd_plots.py
+++ b/src/cryo_challenge/_svd/svd_plots.py
@@ -18,10 +18,7 @@
 #     "Rocky Road": {"color": "#4daf4a", "marker": "*"},
 # }
 
-COLORS = sns.color_palette("Set3", 12)
-COLORS = [color for color in COLORS.as_hex()]
-
-MARKERS = ["o", "v", "^", "<", ">", "D", "x", "*", "s", "p", "P", "*"]
+MARKERS = ["o", "v", "^", "<", ">", "D", "X", "*", "s", "p", "P", "*", "h", "H"]
 LABELS = [
     "Ground Truth",
     "Cookie Dough",
@@ -35,17 +32,24 @@
     "Salted Caramel",
     "Chocolate Chip",
     "Rocky Road",
+    "Pina Colada",
+    "Bubble Gum",
 ]
 
+assert len(MARKERS) >= len(LABELS)
+
+COLORS = sns.color_palette("Set3", len(LABELS))
+COLORS = [color for color in COLORS.as_hex()]
+
 PLOT_SETUP = {}
 
-for i in range(12):
+for i in range(len(LABELS)):
     PLOT_SETUP[LABELS[i]] = {
         "color": COLORS[i],
         "marker": MARKERS[i],
     }
 
-PLOT_SETUP["gt_left"] = {"color": "#e41a1c", "marker": "o"}
+PLOT_SETUP["Coffee"] = {"color": "#e41a1c", "marker": "o"}
 PLOT_SETUP["gt_right"] = {"color": "#377eb8", "marker": "v"}
 
 
@@ -58,8 +62,8 @@ def plot_distance_matrix(dist_matrix, labels, title="", save_path=None):
 
     ax.set_title(title)
     if save_path is not None:
-        plt.savefig(save_path)
-    plt.show()
+        plt.savefig(save_path, bbox_inches="tight", pad_inches=0.1)
+
     return
 
 
@@ -77,7 +81,8 @@ def plot_common_embedding(
     plot_setup = {}
     for i, label in enumerate(labels):
         for possible_label in PLOT_SETUP.keys():
-            if label in possible_label:
+            # print(label, possible_label)
+            if possible_label in label:
                 plot_setup[label] = PLOT_SETUP[possible_label]
 
     for label in labels:
@@ -106,19 +111,17 @@ def plot_common_embedding(
         n_rows = np.ceil(n_rows).astype(int)
         n_cols = np.ceil(len(labels) / n_rows).astype(int)
 
-    print(n_cols, n_rows)
     fig, ax = plt.subplots(
         n_rows, n_cols, figsize=(n_cols * 5, n_rows * 3), sharex=True, sharey=True
     )
     if n_rows == 1 and n_cols == 1:
         ax = np.array([ax])
 
-    print(all_embeddings.shape)
     for i in range(len(labels)):
         sns.kdeplot(
             x=all_embeddings[:, pc1],
             y=all_embeddings[:, pc2],
-            cmap="viridis",
+            cmap="gray",
             fill=True,
             cbar=False,
             ax=ax.flatten()[i],
@@ -130,7 +133,7 @@ def plot_common_embedding(
         sns.kdeplot(
             x=all_embeddings[:, pc1],
             y=all_embeddings[:, pc2],
-            cmap="viridis",
+            cmap="gray",
             fill=True,
             cbar=False,
             ax=ax.flatten()[len(labels)],
@@ -163,8 +166,8 @@ def plot_common_embedding(
             label=str(i + 1) + ". " + labels[i],
         )
 
-        ax.flatten()[i].set_xticks([])
-        ax.flatten()[i].set_yticks([])
+        # ax.flatten()[i].set_xticks([])
+        # ax.flatten()[i].set_yticks([])
 
         if i >= n_rows:
             ax.flatten()[i].set_xlabel(f"Z{pc1 + 1}", fontsize=12)
@@ -215,7 +218,7 @@ def plot_common_embedding(
     )
 
     if save_path is not None:
-        plt.savefig(save_path)
+        plt.savefig(save_path, bbox_inches="tight", pad_inches=0.1)
 
     return
 
@@ -237,19 +240,21 @@ def compute_gt_dist(z):
     fig, ax = plt.subplots(
         n_rows, n_cols, figsize=(n_cols * 4, n_rows * 3), sharex=True, sharey=True
     )
+    if n_rows == 1 and n_cols == 1:
+        ax = np.array([ax])
 
     plot_setup = {}
     for i, label in enumerate(submissions_data.keys()):
         for possible_label in PLOT_SETUP.keys():
-            if label in possible_label:
+            if possible_label in label:
                 plot_setup[label] = PLOT_SETUP[possible_label]
 
     for label in submissions_data.keys():
         if label not in plot_setup.keys():
             raise ValueError(f"Label {label} not found in PLOT_SETUP")
 
-    low_gt = -227.927103122416
-    high_gt = 214.014930744738
+    low_gt = -231.62100638454024
+    high_gt = 243.32448171011487
     Z = np.linspace(low_gt, high_gt, gt_embedding_results["gt_embedding"].shape[0])
     x_axis = np.linspace(
         torch.min(gt_embedding_results["gt_embedding"][:, 0]),
@@ -327,6 +332,61 @@ def compute_gt_dist(z):
     )
 
     if save_path is not None:
-        plt.savefig(save_path)
+        plt.savefig(save_path, bbox_inches="tight", pad_inches=0.1)
+
+    return
+
+
+def plot_common_eigenvectors(
+    common_eigenvectors, n_eig_to_plot=None, title="", save_path=None
+):
+    n_eig_to_plot = min(10, len(common_eigenvectors))
+    n_cols = 5
+    n_rows = int(np.ceil(n_eig_to_plot / n_cols))
+
+    fig, ax = plt.subplots(n_rows, n_cols, figsize=(n_cols * 4, n_rows * 5))
+
+    box_size = int(round((common_eigenvectors[0].shape[-1]) ** (1 / 3)))
+    for i in range(n_eig_to_plot):
+        eigvol = common_eigenvectors[i].reshape(box_size, box_size, box_size)
+
+        mask_small = torch.where(torch.abs(eigvol) < 1e-3)
+        mask_pos = torch.where(eigvol > 0)
+        mask_neg = torch.where(eigvol < 0)
+
+        eigvol_pos = torch.zeros_like(eigvol)
+        eigvol_neg = torch.zeros_like(eigvol)
+
+        eigvol_pos[mask_pos] = 1.0
+        eigvol_neg[mask_neg] = -1.0
+
+        eigvol_for_img = eigvol_neg + eigvol_pos
+        eigvol_for_img[mask_small] = 0.0
+
+        ax.flatten()[i].imshow(
+            eigvol_for_img.sum(0), cmap="coolwarm", label=f"Eigenvector {i}"
+        )
+        ax.flatten()[i].set_title(f"Eigenvector {i}")
+        ax.flatten()[i].axis("off")
+        i_max = i
+
+    if i_max < n_cols * n_rows:
+        for j in range(i_max + 1, n_cols * n_rows):
+            ax.flatten()[j].axis("off")
+
+    plt.subplots_adjust(wspace=0.0)
+
+    # add a colorbar for the whole figure
+    fig.colorbar(
+        ax.flatten()[i].imshow(eigvol_for_img.sum(0), cmap="coolwarm"),
+        ax=ax,
+        orientation="horizontal",
+        label="Eigenvector value (neg or pos)",
+    )
+
+    fig.suptitle(title, fontsize=16)
+
+    if save_path is not None:
+        plt.savefig(save_path, bbox_inches="tight", pad_inches=0.1)
 
     return
diff --git a/src/cryo_challenge/_svd/svd_utils.py b/src/cryo_challenge/_svd/svd_utils.py
index 91d7aea..79c9a39 100644
--- a/src/cryo_challenge/_svd/svd_utils.py
+++ b/src/cryo_challenge/_svd/svd_utils.py
@@ -29,6 +29,24 @@ def sort_matrix_using_gt(dist_matrix: torch.Tensor, labels: np.ndarray):
     return dist_matrix, labels
 
 
+def sort_matrix(dist_matrix, labels):
+    dist_matrix = dist_matrix.clone()
+    labels = labels.copy()
+
+    # Sort by sum of rows
+    row_sum = torch.sum(dist_matrix, dim=0)
+    sort_idx = torch.argsort(row_sum, descending=True)
+    dist_matrix = dist_matrix[:, sort_idx][sort_idx]
+    labels = labels[sort_idx.numpy()]
+
+    # Sort the first row
+    sort_idx = torch.argsort(dist_matrix[:, 0], descending=True)
+    dist_matrix = dist_matrix[:, sort_idx][sort_idx]
+    labels = labels[sort_idx.numpy()]
+
+    return dist_matrix, labels
+
+
 def compute_distance_matrix(submissions_data, gt_data=None):
     n_subs = len(list(submissions_data.keys()))
     labels = list(submissions_data.keys())
@@ -64,7 +82,10 @@ def compute_distance_matrix(submissions_data, gt_data=None):
 
         dist_matrix, labels = sort_matrix_using_gt(dist_matrix, labels)
 
-    labels = np.array(labels)
+    else:
+        labels = np.array(labels)
+        dist_matrix, labels = sort_matrix(dist_matrix, labels)
+
     results = {"dist_matrix": dist_matrix, "labels": labels}
     return results
 
@@ -101,6 +122,7 @@ def compute_common_embedding(submissions_data, gt_data=None):
     results = {
         "common_embedding": embeddings,
         "singular_values": S,
+        "common_eigenvectors": V,
     }
 
     if gt_data is not None:
diff --git a/src/cryo_challenge/data/_io/svd_io_utils.py b/src/cryo_challenge/data/_io/svd_io_utils.py
index bc4a12f..610e3ef 100644
--- a/src/cryo_challenge/data/_io/svd_io_utils.py
+++ b/src/cryo_challenge/data/_io/svd_io_utils.py
@@ -59,6 +59,9 @@ def load_submissions_svd(
         label = submission["id"]
         populations = submission["populations"]
 
+        if not isinstance(populations, torch.Tensor):
+            populations = torch.tensor(populations)
+
         volumes = submission["volumes"]
         if config["normalize_params"]["mask_path"] is not None:
             volumes = volumes * mask
@@ -101,7 +104,7 @@ def load_submissions_svd(
             )
 
         submissions_data[label] = {
-            "populations": torch.tensor(populations / populations.sum()),
+            "populations": populations / populations.sum(),
             "u_matrices": u_matrices.clone(),
             "singular_values": singular_values.clone(),
             "eigenvectors": eigenvectors.clone(),