diff --git a/examples/TenSolver/README.md b/examples/TenSolver/README.md
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+# TenSolver Benchmark Example
+
+Benchmarking [TenSolver](https://github.com/SECQUOIA/TenSolver.jl) on 23 QUBO instances from the QpLib subset of QUBOLib (instances 308–330).
+
+## What's included
+
+- **Energy distribution visualizations** — heatmap showing how the sampled energy distribution evolves across DMRG iterations for a representative instance.
+- **Performance ratio** — computed against Gurobi's best-known objectives as the reference minimum and random bitstring sampling as the baseline.
+- **Bootstrap analysis** — performance ratio inferred for 1, 10, 100, and 1000 samples per iteration using the stochastic-benchmark framework.
+- **Resource analysis** — `iterations × samples` used as a proxy for compute; interpolation, train/test split, virtual best baseline, and projection experiments.
+
+## Data files
+
+| File | Description |
+|---|---|
+| `results/energy_history.json` | 1000 energy samples per DMRG iteration for all 23 instances |
+| `results/random_baseline.json` | Mean and min energy from 1000 random bitstrings per instance |
+| `results/gurobi_best.json` | Best objective found by Gurobi (900 s limit) per instance |
diff --git a/examples/TenSolver/TenSolver.ipynb b/examples/TenSolver/TenSolver.ipynb
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "d2ce717d",
+ "metadata": {},
+ "source": [
+ "## TenSolver\n",
+ "\n",
+ "[TenSolver](https://github.com/SECQUOIA/TenSolver.jl) is a quantum-inspired optimization algorithm that solves Quadratic Unconstrained Binary Optimization (QUBO) problems. We will briefly go over the mechanism behind the algorithm.\n",
+ "\n",
+ "### QUBO\n",
+ "\n",
+ "A QUBO is a problem of the form\n",
+ "$$\n",
+ "\\min_{x \\in \\mathbb{B}^N} \\: x^\\top Q x \\: = \\: \\min_{x \\in \\mathbb{B}^N} \\: \\sum_{i \\ge j} Q_{ij} x_i x_j \n",
+ "$$\n",
+ "\n",
+ "where $Q \\in \\mathbb{R}^{N \\times N}$ is a real matrix, $x$ is the vector of binary decision variables, and we write $\\mathbb{B} = \\{0,\\,1\\}$.\n",
+ "\n",
+ "### Hamiltonian Equivalence\n",
+ "\n",
+ "A QUBO problem can be reformulated as an eigenvalue problem by mapping it to a quantum many-body system.\n",
+ "In this reformulation, each binary variable $x_i$ is treated as a particle or a \"site\".\n",
+ "The binary values the variables can assume correspond to the basis states of a qubit.\n",
+ "\n",
+ "We can then construct a Hamiltonian by replacing the binary variables with single-site operators $D_i$ ($2 \\times 2$ diagonal matrices). In the new format, solving the QUBO amounts to finding the ground state of the corresponding Hamiltonian [1].\n",
+ "This reformulates a discrete optimization problem over binary variables as a continuous problem over complex variables.\n",
+ "\n",
+ "Despite this reformulation, the problem is still solved entirely on classical hardware.\n",
+ "We use tensors to represent both the Hamiltonian and the system states.\n",
+ "The issue is that those tensors are extremely large and difficult to work with. \n",
+ "The resulting Hamiltonian is a $2^N \\times 2^N$ matrix.\n",
+ "\n",
+ "### Tensor Networks\n",
+ "\n",
+ "Thankfully, we can use a mathematical tool called Tensor Network (TN) to compress these large tensors into a more manageable form.\n",
+ "These objects consist of products or contractions between tensors of different ranks (dimensions).\n",
+ "With this tool, the operators (QUBO Hamiltonians) are represented as Matrix Product Operators (MPOs), products of rank-4 tensors, while the states (QUBO solutions) are represented as Matrix Product States (MPSs), products of rank-3 tensors [2].\n",
+ "\n",
+ "Computationally, we need to find an MPS that, when contracted with the MPO, results in the smallest value.\n",
+ "\n",
+ "### DMRG\n",
+ "\n",
+ "DMRG is an algorithm that does precisely this [3, 4].\n",
+ "It iteratively approximates the ground state of a Hamiltonian using the tensor network representation of these objects.\n",
+ "\n",
+ "### TenSolver\n",
+ "\n",
+ "Finally, the TenSolver algorithm works by:\n",
+ "\n",
+ "- Finding the MPO representation of the QUBO problem.\n",
+ "- Applying DMRG consecutively with a random initial MPS, getting better approximations each time.\n",
+ "- Sampling solutions according to the final state and calculating the objective value.\n",
+ "\n",
+ "The implementation is built on top of the [ITensors.jl](https://docs.itensor.org/Overview/) package [5]."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ab3fd2ef",
+ "metadata": {},
+ "source": [
+ "## Problem Instances\n",
+ "\n",
+ "The problem instances used in this example were extracted from the [QUBOLib benchmark](https://github.com/JuliaQUBO/QUBOLib.jl) [6], more specifically, the QPLib subset [7].\n",
+ "It includes instances 308 to 330, with variable counts ranging from 120 to 1225.\n",
+ "\n",
+ "| **Instance** | 308 | 309 | 310 | 311 | 312 | 313 | 314 | 315 | 316 | 317 | 318 | 319 |\n",
+ "| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n",
+ "| **Dimension** | 496 | 276 | 1035 | 946 | 1128 | 378 | 703 | 435 | 325 | 861 | 561 | 780 |\n",
+ "\n",
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import json\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from matplotlib.colors import LogNorm, LinearSegmentedColormap\n",
+ "\n",
+ "with open(\"results/energy_history.json\") as f:\n",
+ " all_data = json.load(f)\n",
+ "\n",
+ "instance = \"323\"\n",
+ "data = all_data[instance]\n",
+ "\n",
+ "iterations = [entry[\"iteration\"] for entry in data]\n",
+ "all_energies = [entry[\"energies\"] for entry in data]\n",
+ "\n",
+ "n_bins = 80\n",
+ "all_flat = [e for energies in all_energies for e in energies]\n",
+ "bins = np.linspace(min(all_flat), max(all_flat), n_bins + 1)\n",
+ "\n",
+ "matrix = np.array([np.histogram(energies, bins=bins)[0] for energies in all_energies]).T\n",
+ "\n",
+ "blue_to_red = LinearSegmentedColormap.from_list(\"blue_red\", [\"blue\", \"red\"])\n",
+ "\n",
+ "fig, ax = plt.subplots(figsize=(14, 6))\n",
+ "\n",
+ "im = ax.imshow(\n",
+ " matrix,\n",
+ " aspect=\"auto\",\n",
+ " origin=\"lower\",\n",
+ " norm=LogNorm(vmin=1, vmax=matrix.max()),\n",
+ " cmap=blue_to_red,\n",
+ " interpolation=\"nearest\",\n",
+ " extent=[iterations[0] - 0.5, iterations[-1] + 0.5, bins[0], bins[-1]],\n",
+ ")\n",
+ "\n",
+ "n_yticks = 6\n",
+ "ytick_vals = np.linspace(bins[0], bins[-1], n_yticks)\n",
+ "ax.set_yticks(ytick_vals)\n",
+ "ax.set_yticklabels([f\"{int(v)}\" for v in ytick_vals], fontsize=9)\n",
+ "\n",
+ "ax.set_xlabel(\"Iteration\")\n",
+ "ax.set_ylabel(\"Energy\")\n",
+ "ax.set_title(f\"Instance {instance} — Energy Distribution per DMRG Iteration\")\n",
+ "\n",
+ "fig.colorbar(im, ax=ax, label=\"Sample Count\")\n",
+ "\n",
+ "plt.tight_layout()\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6c36eda5",
+ "metadata": {},
+ "source": [
+ "This graph shows the number of energy samples at each energy level across DMRG iterations.\n",
+ "\n",
+ "There are two quantities at play: the number of iterations and the number of energy samples per iteration.\n",
+ "As the number of iterations increases, the number of unique energies decreases and the distribution becomes more concentrated.\n",
+ "\n",
+ "Since we are interested in getting the best possible objective value while ideally minimizing work, it is only natural to question how many iterations and how many samples are sufficient for our needs.\n",
+ "\n",
+ "These are the questions we will try to answer by applying Stochastic Benchmark."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "22ecf151",
+ "metadata": {},
+ "source": [
+ "## Performance Metric\n",
+ "\n",
+ "To enable meaningful comparisons, we use the performance ratio as a common metric.\n",
+ "In this particular problem, it is calculated as follows:\n",
+ "\n",
+ "- First, we sample a subset from the input space and calculate the associated energies. Specifically, we use 1000 random bitstrings.\n",
+ "- The mean energy across the random sample is denoted as `random`.\n",
+ "- We also load the best energy found by Gurobi via Branch and Bound. We denote this value as `minimum`. Note that a 900-second time limit was applied, so optimality is not guaranteed in all cases.\n",
+ "- The performance ratio is calculated across an increasing number of iterations, where `found` is the best energy found at the current point in the algorithm's execution.\n",
+ "\n",
+ "$$\n",
+ "\\text{performance ratio} = \\frac{\\text{found} - \\text{random}}{\\text{minimum} - \\text{random}}\n",
+ "$$\n",
+ "\n",
+ "A performance ratio of 0 means the solver did not improve over the random baseline, while a ratio of 1 means it matched Gurobi's best-known solution."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 44,
+ "id": "e3c9bc46",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import plotting\n",
+ "\n",
+ "plotting.monotone = True\n",
+ "sb.initPlotting()\n",
+ "\n",
+ "fig, axs = sb.plots.plot_performance()\n",
+ "fig.savefig(\"performance.png\")\n",
+ "\n",
+ "figs, axes = sb.plots.plot_parameters_separate()\n",
+ "for param, fig in figs.items():\n",
+ " fig.savefig(param + \".png\")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "84e31366",
+ "metadata": {},
+ "source": [
+ "## Conclusion\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "482afe23",
+ "metadata": {},
+ "source": [
+ "In general, it is better to invest fewer resources in samples while aiming for a reasonable number of iterations. This is consistent with the initial investigation.\n",
+ "The initial investigation indicated that the best achievable performance ratio could be reached with one sample per iteration and around 45 iterations, corresponding to a resource value of 45.\n",
+ "\n",
+ "However, the input recommendation plot shows a jump in performance at a much lower resource value, around 10, which translates to 1 sample and 10 iterations.\n",
+ "This does not correspond to peak performance, but it is clear that performance does not improve significantly beyond this point, making this a good operating point for the samples-versus-iterations trade-off."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ab911333",
+ "metadata": {},
+ "source": [
+ "## References\n",
+ "\n",
+ "[1] Andrew Lucas. Ising formulations of many NP problems. Frontiers in Physics, 2, 2014.\n",
+ "[2] I. V. Oseledets. Tensor-Train Decomposition. SIAM Journal on Scientific Computing,\n",
+ "33(5):2295–2317, 2011. _eprint: https://doi.org/10.1137/090752286.\n",
+ "[3] Steven R. White. Density matrix formulation for quantum renormalization groups. Phys. Rev.\n",
+ "Lett., 69:2863–2866, Nov 1992.\n",
+ "[4] Steven R. White. Density-matrix algorithms for quantum renormalization groups. Phys. Rev. B,\n",
+ "48:10345–10356, Oct 1993.\n",
+ "[5] Matthew Fishman, Steven R. White, and E. Miles Stoudenmire. Codebase release 0.3 for\n",
+ "ITensor. SciPost Phys. Codebases, pages 4–r0.3, 2022.\n",
+ "[6] Pedro Maciel Xavier and David E. Bernal Neira. QUBOLib.jl: A Julia library of QUBO\n",
+ "instances, 2023. Accessed: 2025-11-21.\n",
+ "[7] Fabio Furini, Emiliano Traversi, Pietro Belotti, Antonio Frangioni, Ambros Gleixner, Nick\n",
+ "Gould, Leo Liberti, Andrea Lodi, Ruth Misener, Hans Mittelmann, Nikolaos Sahinidis, Stefan\n",
+ "Vigerske, and Angelika Wiegele. QPLIB: A library of quadratic programming instances.\n",
+ "Mathematical Programming Computation, 2018."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": ".venv",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "name": "python",
+ "version": "3.13.0"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/examples/TenSolver/results/energy_history.json b/examples/TenSolver/results/energy_history.json
new file mode 100644
index 00000000..359164ec
--- /dev/null
+++ b/examples/TenSolver/results/energy_history.json
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diff --git a/examples/TenSolver/results/gurobi_best.json b/examples/TenSolver/results/gurobi_best.json
new file mode 100644
index 00000000..0452f8fd
--- /dev/null
+++ b/examples/TenSolver/results/gurobi_best.json
@@ -0,0 +1,117 @@
+{
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+ "status": 2,
+ "optimal": true
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+}
\ No newline at end of file
diff --git a/examples/TenSolver/results/random_baseline.json b/examples/TenSolver/results/random_baseline.json
new file mode 100644
index 00000000..cf0b5327
--- /dev/null
+++ b/examples/TenSolver/results/random_baseline.json
@@ -0,0 +1 @@
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