diff --git a/examples/Data/ISAM2_GT_city10000.txt b/examples/Data/ISAM2_GT_city10000.txt
new file mode 100644
index 0000000000..6c2e1ebdf5
--- /dev/null
+++ b/examples/Data/ISAM2_GT_city10000.txt
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diff --git a/examples/Data/T1_city10000_04.txt b/examples/Data/T1_city10000_04.txt
new file mode 100644
index 0000000000..985d46d68a
--- /dev/null
+++ b/examples/Data/T1_city10000_04.txt
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+EDGE2 2509 1 9992 0 1 -0.996900 0.017072 -3.137370 
+EDGE2 9992 1 9993 0 1 1.014150 -0.012860 0.012188 
+EDGE2 681 1 9993 0 1 2.018130 0.025134 -0.001572 
+EDGE2 3241 1 9993 0 1 1.997480 0.006803 -0.010779 
+EDGE2 9993 1 9994 0 1 0.998458 -0.014409 -0.002309 
+EDGE2 683 1 9994 0 1 1.024290 0.020568 -0.005892 
+EDGE2 3244 1 9994 0 1 0.010754 -0.016598 0.000951 
+EDGE2 9994 1 9995 0 1 1.015710 0.007071 -0.000349 
+EDGE2 4043 1 9995 0 1 2.006000 0.060573 -0.002932 
+EDGE2 7123 1 9995 0 1 1.999660 -0.009659 -0.005462 
+EDGE2 9995 1 9996 0 1 1.030560 -0.019859 0.009732 
+EDGE2 4044 1 9996 0 1 1.984410 -0.013495 0.013765 
+EDGE2 2506 1 9996 0 1 -2.012110 -0.024076 3.140240 
+EDGE2 9996 1 9997 0 1 1.018180 -0.007627 0.001959 
+EDGE2 2335 1 9997 0 1 -2.003430 -0.017859 -3.121210 
+EDGE2 7064 1 9997 0 1 -0.963499 -0.002902 3.135820 
+EDGE2 9997 1 9998 0 1 1.009210 -0.021058 -0.002058 
+EDGE2 7126 1 9998 0 1 1.984070 -0.020369 -0.005905 
+EDGE2 686 1 9998 0 1 -0.985413 -3.018950 -1.556630 
+EDGE2 9998 1 9999 0 1 1.005330 0.011508 0.009014 
+EDGE2 3247 1 9999 0 1 1.995060 -0.004059 -0.003582 
+EDGE2 7128 1 9999 0 1 1.014230 0.007490 0.005765 
\ No newline at end of file
diff --git a/examples/Hybrid_City10000.cpp b/examples/Hybrid_City10000.cpp
new file mode 100644
index 0000000000..42f0169c8b
--- /dev/null
+++ b/examples/Hybrid_City10000.cpp
@@ -0,0 +1,219 @@
+/* ----------------------------------------------------------------------------
+
+ * GTSAM Copyright 2010-2020, Georgia Tech Research Corporation,
+ * Atlanta, Georgia 30332-0415
+ * All Rights Reserved
+ * Authors: Frank Dellaert, et al. (see THANKS for the full author list)
+
+ * See LICENSE for the license information
+
+ * -------------------------------------------------------------------------- */
+
+/**
+ * @file   Hybrid_City10000.cpp
+ * @brief  Example of using hybrid estimation
+ *         with multiple odometry measurements.
+ * @author Varun Agrawal
+ * @date   January 22, 2025
+ */
+
+#include <gtsam/geometry/Pose2.h>
+#include <gtsam/hybrid/HybridNonlinearFactor.h>
+#include <gtsam/hybrid/HybridNonlinearFactorGraph.h>
+#include <gtsam/hybrid/HybridSmoother.h>
+#include <gtsam/hybrid/HybridValues.h>
+#include <gtsam/inference/Symbol.h>
+#include <gtsam/nonlinear/Values.h>
+#include <gtsam/slam/BetweenFactor.h>
+#include <gtsam/slam/PriorFactor.h>
+#include <gtsam/slam/dataset.h>
+#include <time.h>
+
+#include <boost/algorithm/string/classification.hpp>
+#include <boost/algorithm/string/split.hpp>
+#include <fstream>
+#include <string>
+#include <vector>
+
+using namespace std;
+using namespace gtsam;
+using namespace boost::algorithm;
+
+using symbol_shorthand::M;
+using symbol_shorthand::X;
+
+// Testing params
+const size_t max_loop_count = 2000;  // 2000;  // 200 //2000 //8000
+
+noiseModel::Diagonal::shared_ptr prior_noise_model =
+    noiseModel::Diagonal::Sigmas(
+        (Vector(3) << 0.0001, 0.0001, 0.0001).finished());
+
+noiseModel::Diagonal::shared_ptr pose_noise_model =
+    noiseModel::Diagonal::Sigmas(
+        (Vector(3) << 1.0 / 30.0, 1.0 / 30.0, 1.0 / 100.0).finished());
+
+/**
+ * @brief Write the results of optimization to filename.
+ *
+ * @param results The Values object with the final results.
+ * @param num_poses The number of poses to write to the file.
+ * @param filename The file name to save the results to.
+ */
+void write_results(const Values& results, size_t num_poses,
+                   const std::string& filename = "ISAM2_city10000.txt") {
+  ofstream outfile;
+  outfile.open(filename);
+
+  for (size_t i = 0; i < num_poses; ++i) {
+    Pose2 out_pose = results.at<Pose2>(X(i));
+
+    outfile << out_pose.x() << " " << out_pose.y() << " " << out_pose.theta()
+            << std::endl;
+  }
+  outfile.close();
+  std::cout << "output written to " << filename << std::endl;
+}
+
+void SmootherUpdate(HybridSmoother& smoother, HybridNonlinearFactorGraph& graph,
+                    const Values& initial, size_t maxNrHypotheses,
+                    Values* results) {
+  HybridGaussianFactorGraph linearized = *graph.linearize(initial);
+  // std::cout << "index: " << index << std::endl;
+  smoother.update(linearized, maxNrHypotheses);
+  graph.resize(0);
+  HybridValues delta = smoother.hybridBayesNet().optimize();
+  results->insert_or_assign(initial.retract(delta.continuous()));
+}
+
+/* ************************************************************************* */
+int main(int argc, char* argv[]) {
+  ifstream in(findExampleDataFile("T1_city10000_04.txt"));
+  // ifstream in("../data/mh_T1_city10000_04.txt"); //Type #1 only
+  // ifstream in("../data/mh_T3b_city10000_10.txt"); //Type #3 only
+  // ifstream in("../data/mh_T1_T3_city10000_04.txt"); //Type #1 + Type #3
+
+  // ifstream in("../data/mh_All_city10000_groundtruth.txt");
+
+  size_t discrete_count = 0, index = 0;
+
+  std::list<double> time_list;
+
+  HybridSmoother smoother(0.99);
+
+  HybridNonlinearFactorGraph graph;
+
+  Values init_values;
+  Values results;
+
+  size_t maxNrHypotheses = 3;
+
+  double x = 0.0;
+  double y = 0.0;
+  double rad = 0.0;
+
+  Pose2 prior_pose(x, y, rad);
+
+  init_values.insert(X(0), prior_pose);
+
+  graph.push_back(PriorFactor<Pose2>(X(0), prior_pose, prior_noise_model));
+
+  SmootherUpdate(smoother, graph, init_values, maxNrHypotheses, &results);
+
+  size_t key_s, key_t;
+
+  clock_t start_time = clock();
+  std::string str;
+  while (getline(in, str) && index < max_loop_count) {
+    vector<string> parts;
+    split(parts, str, is_any_of(" "));
+
+    key_s = stoi(parts[1]);
+    key_t = stoi(parts[3]);
+
+    int num_measurements = stoi(parts[5]);
+    vector<Pose2> pose_array(num_measurements);
+    for (int i = 0; i < num_measurements; ++i) {
+      x = stod(parts[6 + 3 * i]);
+      y = stod(parts[7 + 3 * i]);
+      rad = stod(parts[8 + 3 * i]);
+      pose_array[i] = Pose2(x, y, rad);
+    }
+
+    // Take the first one as the initial estimate
+    Pose2 odom_pose = pose_array[0];
+    if (key_s == key_t - 1) {  // new X(key)
+      init_values.insert(X(key_t), init_values.at<Pose2>(X(key_s)) * odom_pose);
+
+    } else {  // loop
+      // index++;
+    }
+
+    // Flag if we should run smoother update
+    bool smoother_update = false;
+
+    if (num_measurements == 2) {
+      // Add hybrid factor which considers both measurements
+      DiscreteKey m(M(discrete_count), num_measurements);
+      discrete_count++;
+
+      graph.push_back(DecisionTreeFactor(m, "0.6 0.4"));
+
+      auto f0 = std::make_shared<BetweenFactor<Pose2>>(
+          X(key_s), X(key_t), pose_array[0], pose_noise_model);
+      auto f1 = std::make_shared<BetweenFactor<Pose2>>(
+          X(key_s), X(key_t), pose_array[1], pose_noise_model);
+      std::vector<NonlinearFactorValuePair> factors{{f0, 0.0}, {f1, 0.0}};
+      // HybridNonlinearFactor mixtureFactor(m, factors);
+      HybridNonlinearFactor mixtureFactor(m, {f0, f1});
+      graph.push_back(mixtureFactor);
+
+      smoother_update = true;
+
+    } else {
+      graph.add(BetweenFactor<Pose2>(X(key_s), X(key_t), odom_pose,
+                                     pose_noise_model));
+    }
+
+    if (smoother_update) {
+      SmootherUpdate(smoother, graph, init_values, maxNrHypotheses, &results);
+    }
+
+    // Print loop index and time taken in processor clock ticks
+    // if (index % 50 == 0 && key_s != key_t - 1) {
+    if (index % 100 == 0) {
+      std::cout << "index: " << index << std::endl;
+      std::cout << "acc_time:  " << time_list.back() / CLOCKS_PER_SEC << std::endl;
+      // delta.discrete().print("The Discrete Assignment");
+      tictoc_finishedIteration_();
+      tictoc_print_();
+    }
+
+    if (key_s == key_t - 1) {
+      clock_t cur_time = clock();
+      time_list.push_back(cur_time - start_time);
+    }
+
+    index += 1;
+  }
+
+  SmootherUpdate(smoother, graph, init_values, maxNrHypotheses, &results);
+
+  clock_t end_time = clock();
+  clock_t total_time = end_time - start_time;
+  cout << "total_time: " << total_time / CLOCKS_PER_SEC << " seconds" << endl;
+
+  /// Write results to file
+  write_results(results, (key_t + 1), "HybridISAM_city10000.txt");
+
+  ofstream outfile_time;
+  std::string time_file_name = "HybridISAM_city10000_time.txt";
+  outfile_time.open(time_file_name);
+  for (auto acc_time : time_list) {
+    outfile_time << acc_time << std::endl;
+  }
+  outfile_time.close();
+  cout << "output " << time_file_name << " file." << endl;
+
+  return 0;
+}
diff --git a/examples/ISAM2_City10000.cpp b/examples/ISAM2_City10000.cpp
new file mode 100644
index 0000000000..e5fe509517
--- /dev/null
+++ b/examples/ISAM2_City10000.cpp
@@ -0,0 +1,208 @@
+/* ----------------------------------------------------------------------------
+
+ * GTSAM Copyright 2010-2020, Georgia Tech Research Corporation,
+ * Atlanta, Georgia 30332-0415
+ * All Rights Reserved
+ * Authors: Frank Dellaert, et al. (see THANKS for the full author list)
+
+ * See LICENSE for the license information
+
+ * -------------------------------------------------------------------------- */
+
+/**
+ * @file   Hybrid_City10000.cpp
+ * @brief  Example of using hybrid estimation
+ *         with multiple odometry measurements.
+ * @author Varun Agrawal
+ * @date   January 22, 2025
+ */
+
+#include <gtsam/geometry/Pose2.h>
+#include <gtsam/inference/Symbol.h>
+#include <gtsam/nonlinear/ISAM2.h>
+#include <gtsam/nonlinear/NonlinearFactorGraph.h>
+#include <gtsam/nonlinear/Values.h>
+#include <gtsam/slam/BetweenFactor.h>
+#include <gtsam/slam/dataset.h>
+#include <time.h>
+
+#include <boost/algorithm/string/classification.hpp>
+#include <boost/algorithm/string/split.hpp>
+#include <fstream>
+#include <string>
+#include <vector>
+
+using namespace std;
+using namespace gtsam;
+using namespace boost::algorithm;
+
+using symbol_shorthand::X;
+
+// Testing params
+const size_t max_loop_count = 2000;  // 200 //2000 //8000
+
+const bool is_with_ambiguity = false;  // run original iSAM2 without ambiguities
+// const bool is_with_ambiguity = true;  // run original iSAM2 with ambiguities
+
+noiseModel::Diagonal::shared_ptr prior_noise_model =
+    noiseModel::Diagonal::Sigmas(
+        (Vector(3) << 0.0001, 0.0001, 0.0001).finished());
+
+noiseModel::Diagonal::shared_ptr pose_noise_model =
+    noiseModel::Diagonal::Sigmas(
+        (Vector(3) << 1.0 / 30.0, 1.0 / 30.0, 1.0 / 100.0).finished());
+
+/**
+ * @brief Write the results of optimization to filename.
+ *
+ * @param results The Values object with the final results.
+ * @param num_poses The number of poses to write to the file.
+ * @param filename The file name to save the results to.
+ */
+void write_results(const Values& results, size_t num_poses,
+                   const std::string& filename = "ISAM2_city10000.txt") {
+  ofstream outfile;
+  outfile.open(filename);
+
+  for (size_t i = 0; i < num_poses; ++i) {
+    Pose2 out_pose = results.at<Pose2>(X(i));
+
+    outfile << out_pose.x() << " " << out_pose.y() << " " << out_pose.theta()
+            << std::endl;
+  }
+  outfile.close();
+  std::cout << "output written to " << filename << std::endl;
+}
+
+/* ************************************************************************* */
+int main(int argc, char* argv[]) {
+  ifstream in(findExampleDataFile("T1_city10000_04.txt"));
+  // ifstream in("../data/mh_T1_city10000_04.txt"); //Type #1 only
+  // ifstream in("../data/mh_T3b_city10000_10.txt"); //Type #3 only
+  // ifstream in("../data/mh_T1_T3_city10000_04.txt"); //Type #1 + Type #3
+
+  // ifstream in("../data/mh_All_city10000_groundtruth.txt");
+
+  size_t pose_count = 0;
+  size_t index = 0;
+
+  std::list<double> time_list;
+
+  ISAM2Params parameters;
+  parameters.optimizationParams = gtsam::ISAM2GaussNewtonParams(0.0);
+  parameters.relinearizeThreshold = 0.01;
+  parameters.relinearizeSkip = 1;
+
+  ISAM2* isam2 = new ISAM2(parameters);
+
+  NonlinearFactorGraph* graph = new NonlinearFactorGraph();
+
+  Values init_values;
+  Values results;
+
+  double x = 0.0;
+  double y = 0.0;
+  double rad = 0.0;
+
+  Pose2 prior_pose(x, y, rad);
+
+  init_values.insert(X(0), prior_pose);
+  pose_count++;
+
+  graph->addPrior<Pose2>(X(0), prior_pose, prior_noise_model);
+
+  isam2->update(*graph, init_values);
+  graph->resize(0);
+  init_values.clear();
+  results = isam2->calculateBestEstimate();
+
+  //*
+  size_t key_s = 0;
+  size_t key_t = 0;
+
+  clock_t start_time = clock();
+  string str;
+  while (getline(in, str) && index < max_loop_count) {
+    // cout << str << endl;
+    vector<string> parts;
+    split(parts, str, is_any_of(" "));
+
+    key_s = stoi(parts[1]);
+    key_t = stoi(parts[3]);
+
+    int num_measurements = stoi(parts[5]);
+    vector<Pose2> pose_array(num_measurements);
+    for (int i = 0; i < num_measurements; ++i) {
+      x = stod(parts[6 + 3 * i]);
+      y = stod(parts[7 + 3 * i]);
+      rad = stod(parts[8 + 3 * i]);
+      pose_array[i] = Pose2(x, y, rad);
+    }
+
+    Pose2 odom_pose;
+    if (is_with_ambiguity) {
+      // Get wrong intentionally
+      int id = index % num_measurements;
+      odom_pose = Pose2(pose_array[id]);
+    } else {
+      odom_pose = pose_array[0];
+    }
+
+    if (key_s == key_t - 1) {  // new X(key)
+      init_values.insert(X(key_t), results.at<Pose2>(X(key_s)) * odom_pose);
+      pose_count++;
+    } else {  // loop
+      index++;
+    }
+    graph->add(
+        BetweenFactor<Pose2>(X(key_s), X(key_t), odom_pose, pose_noise_model));
+
+    isam2->update(*graph, init_values);
+    graph->resize(0);
+    init_values.clear();
+    results = isam2->calculateBestEstimate();
+
+    // Print loop index and time taken in processor clock ticks
+    if (index % 50 == 0 && key_s != key_t - 1) {
+      std::cout << "index: " << index << std::endl;
+      std::cout << "acc_time:  " << time_list.back() << std::endl;
+    }
+
+    if (key_s == key_t - 1) {
+      clock_t cur_time = clock();
+      time_list.push_back(cur_time - start_time);
+    }
+
+    if (time_list.size() % 100 == 0 && (key_s == key_t - 1)) {
+      string step_file_idx = std::to_string(100000 + time_list.size());
+
+      ofstream step_outfile;
+      string step_file_name = "step_files/ISAM2_city10000_S" + step_file_idx;
+      step_outfile.open(step_file_name + ".txt");
+      for (size_t i = 0; i < (key_t + 1); ++i) {
+        Pose2 out_pose = results.at<Pose2>(X(i));
+        step_outfile << out_pose.x() << " " << out_pose.y() << " "
+                     << out_pose.theta() << endl;
+      }
+      step_outfile.close();
+    }
+  }
+
+  clock_t end_time = clock();
+  clock_t total_time = end_time - start_time;
+  cout << "total_time: " << total_time << endl;
+
+  /// Write results to file
+  write_results(results, (key_t + 1));
+
+  ofstream outfile_time;
+  std::string time_file_name = "ISAM2_city10000_time.txt";
+  outfile_time.open(time_file_name);
+  for (auto acc_time : time_list) {
+    outfile_time << acc_time << std::endl;
+  }
+  outfile_time.close();
+  cout << "output " << time_file_name << " file." << endl;
+
+  return 0;
+}
diff --git a/examples/plot_city10000.m b/examples/plot_city10000.m
new file mode 100644
index 0000000000..6d6a4637c3
--- /dev/null
+++ b/examples/plot_city10000.m
@@ -0,0 +1,28 @@
+clear;
+
+gt = dlmread('Data/ISAM2_GT_city10000.txt');
+
+eh_poses = dlmread('../build/examples/ISAM2_city10000.txt');
+
+h_poses = dlmread('../build/examples/HybridISAM_city10000.txt');
+
+% Plot the same number of GT poses as estimated ones
+% gt = gt(1:size(eh_poses, 1), :);
+gt = gt(1:size(h_poses, 1), :);
+eh_poses = eh_poses(1:size(h_poses, 1), :);
+
+
+figure(1)
+hold on;
+axis equal;
+axis([-65 65 -75 60])
+plot(gt(:,1), gt(:,2), '--', 'LineWidth', 4, 'color', [0.1 0.7 0.1 0.5]);
+% hold off;
+
+% figure(2)
+% hold on;
+% axis equal;
+% axis([-65 65 -75 60])
+plot(eh_poses(:,1), eh_poses(:,2), '-', 'LineWidth', 2, 'color', [0.9 0.1 0. 0.4]);
+plot(h_poses(:,1), h_poses(:,2), '-', 'LineWidth', 2, 'color', [0.1 0.1 0.9 0.4]);
+hold off;
diff --git a/gtsam/discrete/DecisionTreeFactor.cpp b/gtsam/discrete/DecisionTreeFactor.cpp
index 19deccd78d..cfa5fa90cd 100644
--- a/gtsam/discrete/DecisionTreeFactor.cpp
+++ b/gtsam/discrete/DecisionTreeFactor.cpp
@@ -247,7 +247,7 @@ namespace gtsam {
   /* ************************************************************************ */
   std::vector<double> DecisionTreeFactor::probabilities() const {
     // Set of all keys
-    std::set<Key> allKeys(keys().begin(), keys().end());
+    KeySet allKeys(keys().begin(), keys().end());
 
     std::vector<double> probs;
 
@@ -260,7 +260,7 @@ namespace gtsam {
      */
     auto op = [&](const Assignment<Key>& a, double p) {
       // Get all the keys in the current assignment
-      std::set<Key> assignment_keys;
+      KeySet assignment_keys;
       for (auto&& [k, _] : a) {
         assignment_keys.insert(k);
       }
@@ -458,13 +458,13 @@ namespace gtsam {
 
     auto op = [&](const Assignment<Key>& a, double p) {
       // Get all the keys in the current assignment
-      std::set<Key> assignment_keys;
+      KeySet assignment_keys;
       for (auto&& [k, _] : a) {
         assignment_keys.insert(k);
       }
 
       // Find the keys missing in the assignment
-      std::vector<Key> diff;
+      KeyVector diff;
       std::set_difference(allKeys.begin(), allKeys.end(),
                           assignment_keys.begin(), assignment_keys.end(),
                           std::back_inserter(diff));
diff --git a/gtsam/hybrid/HybridBayesNet.cpp b/gtsam/hybrid/HybridBayesNet.cpp
index 68c248119a..e64284a946 100644
--- a/gtsam/hybrid/HybridBayesNet.cpp
+++ b/gtsam/hybrid/HybridBayesNet.cpp
@@ -66,7 +66,9 @@ HybridBayesNet HybridBayesNet::prune(
   pruned.prune(maxNrLeaves);
 
   DiscreteValues deadModesValues;
-  if (deadModeThreshold.has_value()) {
+  // If we have a dead mode threshold and discrete variables left after pruning,
+  // then we run dead mode removal.
+  if (deadModeThreshold.has_value() && pruned.keys().size() > 0) {
     DiscreteMarginals marginals(DiscreteFactorGraph{pruned});
     for (auto dkey : pruned.discreteKeys()) {
       Vector probabilities = marginals.marginalProbabilities(dkey);
diff --git a/gtsam/hybrid/HybridGaussianFactorGraph.cpp b/gtsam/hybrid/HybridGaussianFactorGraph.cpp
index 4943f91cb4..bc36ec94d4 100644
--- a/gtsam/hybrid/HybridGaussianFactorGraph.cpp
+++ b/gtsam/hybrid/HybridGaussianFactorGraph.cpp
@@ -327,6 +327,8 @@ discreteElimination(const HybridGaussianFactorGraph &factors,
     gttic_(EliminateDiscreteFormDiscreteConditional);
 #endif
     // Check type of product, and get as TableFactor for efficiency.
+    // Use object instead of pointer since we need it
+    // for the TableDistribution constructor.
     TableFactor p;
     if (auto tf = std::dynamic_pointer_cast<TableFactor>(product)) {
       p = *tf;
@@ -334,11 +336,12 @@ discreteElimination(const HybridGaussianFactorGraph &factors,
       p = TableFactor(product->toDecisionTreeFactor());
     }
     auto conditional = std::make_shared<TableDistribution>(p);
+
 #if GTSAM_HYBRID_TIMING
     gttoc_(EliminateDiscreteFormDiscreteConditional);
 #endif
 
-    DiscreteFactor::shared_ptr sum = product->sum(frontalKeys);
+    DiscreteFactor::shared_ptr sum = p.sum(frontalKeys);
 
     return {std::make_shared<HybridConditional>(conditional), sum};