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<!DOCTYPE html>
<html lang="en">

<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <meta name="description" content="DDR-Bench: A Deep Data Research Agent Benchmark for LLMs">
    <title>DDR-Bench | Deep Data Research Benchmark</title>
    <link rel="preconnect" href="https://fonts.googleapis.com">
    <link rel="preconnect" href="https://fonts.gstatic.com" crossorigin>
    <script src="https://cdn.plot.ly/plotly-2.27.0.min.js"></script>
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        href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.9.0/styles/atom-one-dark.min.css">
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    <script src="https://unpkg.com/sql-formatter@4.0.2/dist/sql-formatter.min.js"></script>
    <script src="data.js" defer></script>
    <script src="entropy_data.js" defer></script>
    <script src="trajectory_data.js" defer></script>
    <script src="trajectory.js" defer></script>
    <script src="benchmarking_data.js" defer></script>
    <script src="benchmarking.js" defer></script>
    <script src="charts.js" defer></script>
    <link rel="stylesheet" href="styles.css?v=3">
    <style>
        /* Inline critical CSS for chart loading states */
        .chart-loading {
            display: flex;
            align-items: center;
            justify-content: center;
            min-height: 300px;
            color: var(--color-text-muted, #64748B);
            font-size: 14px;
        }

        .chart-loading::after {
            content: 'Loading chart...';
            animation: pulse 1.5s ease-in-out infinite;
        }

        @keyframes pulse {

            0%,
            100% {
                opacity: 0.4;
            }

            50% {
                opacity: 1;
            }
        }
    </style>
</head>

<body>
    <header class="hero">
        <div class="hero-content">
            <!-- <h1><img src="assets/logo.png" alt="DDR-Bench Logo" class="title-logo">DDR-Bench</h1> -->
            <img src="assets/social_preview.png" alt="DDR-Bench - Deep Data Research" class="hero-preview-img">
            <h2>Hunt Instead of Wait: Evaluating Deep Data Research on Large Language Models</h2>
            <p class="description">
                We distinguish <em>investigatory intelligence</em> (autonomously setting goals and exploring) from
                <em>executional intelligence</em> (completing assigned tasks), arguing that true agency requires the
                former.
                To evaluate this, we introduce <strong>Deep Data Research (DDR)</strong>, an open-ended task where LLMs
                autonomously extract insights from databases, and <strong>DDR-Bench</strong>, a large-scale,
                checklist-based benchmark enabling verifiable evaluation.
                Results show that while frontier models display emerging agency, long-horizon exploration remains
                challenging, with effective investigatory intelligence depending on intrinsic agentic strategies beyond
                mere scaffolding or scaling.
            </p>
            <div class="meta-info">
                <div class="meta-row authors">
                    <span class="meta-item">
                        <a href="https://thinkwee.top/about" target="_blank" rel="noopener noreferrer">Wei Liu</a>,
                        <a href="https://github.com/yupeijei1997" target="_blank" rel="noopener noreferrer">Peijie
                            Yu</a>,
                        <a href="https://www.kcl.ac.uk/people/michele-orini" target="_blank"
                            rel="noopener noreferrer">Michele Orini</a>,
                        <a href="https://yalidu.github.io/" target="_blank" rel="noopener noreferrer">Yali Du</a>,
                        <a href="https://sites.google.com/view/yulanhe/home" target="_blank"
                            rel="noopener noreferrer">Yulan He</a>
                    </span>
                </div>
                <div class="meta-row affiliations">
                    <a href="https://kclnlp.github.io/" target="_blank" rel="noopener noreferrer">
                        <img src="assets/kcl.svg" alt="King's College London" class="affiliation-logo kcl-logo">
                    </a>
                    <a href="https://www.tencent.com/en-us/" target="_blank" rel="noopener noreferrer">
                        <img src="assets/tencent.png" alt="Tencent" class="affiliation-logo">
                    </a>
                    <a href="https://www.turing.ac.uk/" target="_blank" rel="noopener noreferrer">
                        <img src="assets/alan.png" alt="The Alan Turing Institute" class="affiliation-logo">
                    </a>
                </div>
                <div class="meta-row links">
                    <a href="https://huggingface.co/collections/thinkwee/ddrbench" class="platform-btn dataset-btn"
                        target="_blank" rel="noopener noreferrer">
                        <svg viewBox="0 0 24 24" width="30" height="30" fill="none" stroke="currentColor"
                            stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
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                            <path d="M3 5v14c0 1.66 4 3 9 3s9-1.34 9-3V5" />
                            <path d="M3 12c0 1.66 4 3 9 3s9-1.34 9-3" />
                        </svg>
                        Dataset
                    </a>
                    <a href="https://github.com/thinkwee/DDR_Bench" class="platform-btn github-btn" target="_blank"
                        rel="noopener noreferrer">
                        <svg viewBox="0 0 24 24" width="30" height="30" fill="currentColor">
                            <path
                                d="M12 2C6.477 2 2 6.477 2 12c0 4.42 2.865 8.17 6.839 9.49.5.092.682-.217.682-.482 0-.237-.008-.866-.013-1.7-2.782.603-3.369-1.34-3.369-1.34-.454-1.156-1.11-1.463-1.11-1.463-.908-.62.069-.608.069-.608 1.003.07 1.531 1.03 1.531 1.03.892 1.529 2.341 1.087 2.91.831.092-.646.35-1.086.636-1.336-2.22-.253-4.555-1.11-4.555-4.943 0-1.091.39-1.984 1.029-2.683-.103-.253-.446-1.27.098-2.647 0 0 .84-.269 2.75 1.025A9.578 9.578 0 0112 6.836c.85.004 1.705.114 2.504.336 1.909-1.294 2.747-1.025 2.747-1.025.546 1.377.203 2.394.1 2.647.64.699 1.028 1.592 1.028 2.683 0 3.842-2.339 4.687-4.566 4.935.359.309.678.919.678 1.852 0 1.336-.012 2.415-.012 2.743 0 .267.18.578.688.48C19.138 20.167 22 16.418 22 12c0-5.523-4.477-10-10-10z" />
                        </svg>
                        Code
                    </a>
                    <a href="https://huggingface.co/papers/2602.02039" class="platform-btn huggingface-btn"
                        target="_blank" rel="noopener noreferrer">
                        <img src="assets/hf-logo-pirate.svg" alt="HuggingFace" width="30" height="30"
                            class="platform-icon">
                        HuggingFace
                    </a>
                    <a href="https://arxiv.org/abs/2602.02039" class="platform-btn arxiv-btn" target="_blank"
                        rel="noopener noreferrer">
                        <img src="assets/arxiv-logomark-small.svg" alt="arXiv" width="30" height="30"
                            class="platform-icon">
                        arXiv
                    </a>
                    <a href="https://www.alphaxiv.org/abs/2602.02039" class="platform-btn alphaxiv-btn" target="_blank"
                        rel="noopener noreferrer">
                        <img src="assets/alphaxiv_logo.png" alt="AlphaXiv" width="30" height="30" class="platform-icon">
                        AlphaXiv
                    </a>
                    <a href="https://thinkwee.notion.site/ddrbench" class="platform-btn notion-btn" target="_blank"
                        rel="noopener noreferrer">
                        <svg viewBox="0 0 24 24" width="30" height="30" fill="currentColor">
                            <path
                                d="M19 3H5c-1.103 0-2 .897-2 2v14c0 1.103.897 2 2 2h14c1.103 0 2-.897 2-2V5c0-1.103-.897-2-2-2zM9 17H7.17V7H9l5.83 6.91V7H16.83v10H15L9.17 10.09V17z" />
                        </svg>
                        Notion Blog
                    </a>
                </div>
            </div>
        </div>
    </header>

    <!-- Main Content - All sections visible -->
    <main class="content">

        <!-- 1. Framework Overview Section -->
        <section id="framework" class="section visible framework-section">
            <div class="section-header">
                <h2>
                    <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <rect width="18" height="18" x="3" y="3" rx="2" ry="2" />
                        <line x1="3" x2="21" y1="9" y2="9" />
                        <line x1="9" x2="9" y1="21" y2="9" />
                    </svg>
                    Framework Overview
                </h2>
                <p>Overview of DDR-Bench.</p>
            </div>
            <div class="framework-grid">
                <div class="framework-card">
                    <div class="framework-img-wrapper">
                        <div class="skeleton-loader"></div>
                        <img src="assets/framework_task.png" alt="Task Formulation Framework" class="framework-img"
                            loading="lazy"
                            onload="this.classList.add('loaded'); this.previousElementSibling.style.display='none';">
                    </div>
                    <h3>Task Formulation</h3>
                    <p class="framework-description">A case of Claude Sonnet 4.5's trajectory and evaluation checklist
                        in the MIMIC scenario of DDR-Bench. Verified fact and supporting insights are
                        <u>underlined</u>. The agent is asked to perform multiple ReAct turns to explore the database
                        without predefined targets or queries, autonomously mine insights from the exploration.
                    </p>
                </div>
                <div class="framework-card">
                    <div class="framework-img-wrapper">
                        <div class="skeleton-loader"></div>
                        <img src="assets/framework_pipeline.png" alt="Evaluation Pipeline Framework"
                            class="framework-img" loading="lazy"
                            onload="this.classList.add('loaded'); this.previousElementSibling.style.display='none';">
                    </div>
                    <h3>Evaluation Pipeline</h3>
                    <p class="framework-description"><b>Left</b>: Compared with previous tasks, <i>DDR</i> maximises
                        exploration openness and agency, focusing on the direct evaluation of insight quality.
                        <b>Right</b>: Overview of the DDR-Bench. The checklist derived from the freeform parts of the
                        database is used to evaluate the agent generated insights from the exploration on the structured
                        parts of the database.
                    </p>
                </div>
            </div>
        </section>



        <!-- 1.5. Agent Trajectory Section -->
        <section id="trajectory" class="section visible trajectory-section">
            <div class="section-header">
                <h2>
                    <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <polyline points="22 12 18 12 15 21 9 3 6 12 2 12"></polyline>
                    </svg>
                    Agent Trajectory
                </h2>
                <p>Observe the autonomous decision-making process of the agent across different scenarios.</p>
            </div>

            <div class="dimension-toggle">
                <button class="dim-btn active" data-traj-scenario="mimic">MIMIC</button>
                <button class="dim-btn" data-traj-scenario="10k">10-K</button>
                <button class="dim-btn" data-traj-scenario="globem">GLOBEM</button>
            </div>

            <p id="trajectory-scenario-description" class="trajectory-description">
                Exploring clinical patterns and patient outcomes in a large-scale electronic health record (EHR)
                database.
            </p>

            <div class="trajectory-container">
                <div id="chat-window" class="chat-window">
                    <!-- Messages will be injected here via JS -->
                    <div class="loading-message">Loading trajectory data...</div>
                </div>
                <div class="scroll-hint" id="scroll-hint">
                    <svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <path d="M12 5v14M19 12l-7 7-7-7" />
                    </svg>
                    <span>Scroll to see more</span>
                </div>
            </div>
        </section>

        <!-- 1.75. Benchmarking Section -->
        <section id="benchmarking" class="section visible benchmarking-section">
            <div class="section-header">
                <h2>
                    <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <line x1="12" x2="12" y1="20" y2="10" />
                        <line x1="18" x2="18" y1="20" y2="4" />
                        <line x1="6" x2="6" y1="20" y2="16" />
                    </svg>
                    Benchmarking
                </h2>
                <p>Overall average accuracy across all scenarios and evaluation metrics.
                    <br>
                    <span class="model-badge proprietary">Purple = Proprietary</span>
                    <span class="model-badge opensource">Green = Open-source</span>
                </p>
            </div>
            <div class="charts-grid single">
                <div class="chart-card wide">
                    <div id="benchmarking-chart" class="chart-container-benchmarking"></div>
                </div>
            </div>
            <p class="section-description">Claude 4.5 Sonnet achieves the highest overall average accuracy at 47.73%,
                significantly outperforming other models. Among open-source models, DeepSeek-V3.2 leads with 38.80%,
                followed closely by GLM-4.6 (37.52%) and Kimi K2 (36.42%). The results demonstrate a clear performance
                gap between frontier proprietary models and open-source alternatives, though top open-source models
                remain competitive with mid-tier proprietary offerings.</p>
        </section>

        <!-- 2. Experiment Results Section -->

        <section id="results" class="section visible results-section">
            <div class="section-header">
                <h2>
                    <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <path d="M3 3v18h18" />
                        <path d="m19 9-5 5-4-4-3 3" />
                    </svg>
                    Experiments
                </h2>
                <p>Main benchmark results and in-depth analysis of agent capabilities.</p>
            </div>

            <!-- Carousel Container -->
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                <div class="carousel-track" id="results-carousel">
                    <!-- 1. Overall -->
                    <div class="carousel-card">
                        <img src="assets/overall.png" alt="Overall Performance">
                        <h4>Overall Performance</h4>
                        <p class="card-caption">Systematic evaluation of mainstream LLMs across MIMIC, 10-K, and GLOBEM
                            datasets reveals persistent limitations in frontier models.</p>
                    </div>

                    <!-- 2. Qwen Family -->
                    <div class="carousel-card">
                        <img src="assets/qwenfamily.png" alt="Qwen Family Performance">
                        <h4>Training-time Factors Analysis</h4>
                        <p class="card-caption">Training-time factors study within the Qwen family. From left to right,
                            the three columns examine inference-time scaling performance across all scenarios for models
                            with different parameter scales, context optimisation methods, and model generations with
                            different training strategies.</p>
                    </div>

                    <!-- 3. Reasoning -->
                    <div class="carousel-card">
                        <img src="assets/reasoning.png" alt="Reasoning Budget">
                        <h4>Reasoning Budget</h4>
                        <p class="card-caption">Increasing the reasoning budget reduces interaction rounds but
                            illustrates
                            a
                            trade-off between reasoning depth and exploration efficiency.</p>
                    </div>

                    <!-- 4. Memory -->
                    <div class="carousel-card">
                        <img src="assets/memory.png" alt="Memory Mechanism">
                        <h4>Memory Mechanism</h4>
                        <p class="card-caption">Long-short-term memory can create unpredictable behavior, often
                            increasing
                            tool usage without consistently improving final accuracy.</p>
                    </div>

                    <!-- 5. Agency -->
                    <div class="carousel-card">
                        <img src="assets/agency.png" alt="Proactive vs Reactive">
                        <h4>Proactive vs Reactive</h4>
                        <p class="card-caption">Models perform significantly better with explicit queries (Reactive),
                            highlighting the difficulty of true proactive goal formulation.</p>
                    </div>

                    <!-- 6. Hallucination -->
                    <div class="carousel-card">
                        <img src="assets/hallucination.png" alt="Hallucination Analysis">
                        <h4>Hallucination Analysis</h4>
                        <p class="card-caption">Hallucination rates (%) across models in DDR-Bench, measured as the
                            proportion of insights containing factual but unfaithful information that are not derivable
                            from the provided inputs, which is low.</p>
                    </div>

                    <!-- 6.5 Hallucination-Accuracy Correlation -->
                    <div class="carousel-card">
                        <img src="assets/hallu_acc_corr.png" alt="Hallucination-Accuracy Correlation">
                        <h4>Hallucination-Accuracy Correlation</h4>
                        <p class="card-caption">Hallucination rates show almost no correlation with final accuracy,
                            indicating
                            robustness against metric inflation via memorization.</p>
                    </div>

                    <!-- 7. Trustworthiness -->
                    <div class="carousel-card">
                        <img src="assets/trustworthiness.png" alt="Trustworthiness">
                        <h4>Trustworthiness</h4>
                        <p class="card-caption">Verification of the LLM-as-a-Checker pipeline demonstrating high
                            alignment
                            with human expert judgments, and it is stable across multiple runs.</p>
                    </div>
                </div>

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                    </svg>
                </button>
            </div>

            <!-- Carousel Dots -->
            <div class="carousel-dots" id="results-dots"></div>
        </section>

        <!-- 3. Scaling Analysis Section -->
        <section id="scaling" class="section visible">
            <div class="section-header">
                <h2>
                    <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <line x1="12" x2="12" y1="20" y2="10" />
                        <line x1="18" x2="18" y1="20" y2="4" />
                        <line x1="6" x2="6" y1="20" y2="16" />
                    </svg>
                    Scaling Analysis
                </h2>
                <p>Explore how model performance scales with interaction turns, token usage, and inference cost.</p>
            </div>
            <div class="dimension-toggle">
                <button class="dim-btn active" data-dim="turn">Turns</button>
                <button class="dim-btn" data-dim="token">Tokens</button>
                <button class="dim-btn" data-dim="cost">Cost</button>
            </div>
            <div id="scaling-legend" class="shared-legend"></div>
            <div class="charts-grid three-col">
                <div class="chart-card">
                    <h3>MIMIC</h3>
                    <div id="scaling-mimic" class="chart-container"></div>
                </div>
                <div class="chart-card">
                    <h3>10-K</h3>
                    <div id="scaling-10k" class="chart-container"></div>
                </div>
                <div class="chart-card">
                    <h3>GLOBEM</h3>
                    <div id="scaling-globem" class="chart-container"></div>
                </div>
            </div>
            <p class="section-description">LLMs extract more accurate insights from delaying commitment, and they
                concentrate reasoning into a small number of highly valuable late-stage interactions. These targeted
                interactions are built upon longer early exploration.</p>
        </section>

        <!-- 2. Ranking Comparison Section -->
        <section id="ranking" class="section visible">
            <div class="section-header">
                <h2>
                    <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <path d="M6 9H4.5a2.5 2.5 0 0 1 0-5H6" />
                        <path d="M18 9h1.5a2.5 2.5 0 0 0 0-5H18" />
                        <path d="M4 22h16" />
                        <path d="M10 14.66V17c0 .55-.47.98-.97 1.21C7.85 18.75 7 20.24 7 22" />
                        <path d="M14 14.66V17c0 .55.47.98.97 1.21C16.15 18.75 17 20.24 17 22" />
                        <path d="M18 2H6v7a6 6 0 0 0 12 0V2Z" />
                    </svg>
                    Novelty vs Accuracy
                </h2>
                <p>
                    Novelty (Bradley-Terry) vs Accuracy ranking
                    <br>
                    ● = Novelty, ◇ = Accuracy.
                    <br>
                    <span class="model-badge proprietary">Purple = Proprietary</span>
                    <span class="model-badge opensource">Green = Open-source</span>
                </p>
            </div>
            <div class="dimension-toggle">
                <button class="dim-btn ranking-dim active" data-mode="novelty">Sort by Novelty</button>
                <button class="dim-btn ranking-dim" data-mode="accuracy">Sort by Accuracy</button>
            </div>
            <div class="charts-grid three-col">

                <div class="chart-card">
                    <h3>MIMIC</h3>
                    <div id="ranking-mimic" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3>10-K</h3>
                    <div id="ranking-10k" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3>GLOBEM</h3>
                    <div id="ranking-globem" class="chart-container-tall"></div>

                </div>
            </div>
            <p class="section-description">The ranking induced by novel insight usefulness closely aligns with the
                ranking based on checklist accuracy. Differences between the two rankings are small, especially among
                the top-performing models.</p>
        </section>

        <!-- 3. Turn Distribution Section -->
        <section id="turn" class="section visible">
            <div class="section-header">
                <h2>
                    <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <path d="M21 12a9 9 0 1 1-9-9c2.52 0 4.93 1 6.74 2.74L21 8" />
                        <path d="M21 3v5h-5" />
                    </svg>
                    Turn Distribution
                </h2>
                <p>Analyze the distribution of interaction turns across different models and datasets.</p>
            </div>
            <div class="charts-grid three-col">
                <div class="chart-card">
                    <h3>MIMIC</h3>
                    <div id="turn-mimic" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3>10-K</h3>
                    <div id="turn-10k" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3>GLOBEM</h3>
                    <div id="turn-globem" class="chart-container-tall"></div>
                </div>
            </div>
            <p class="section-description">Stronger models tend to explore for more rounds without external prompting.
                Knowledge-intensive databases such as 10-K and MIMIC induce more interaction rounds than signal-based
                datasets such as GLOBEM, and the resulting distributions are also more uniform.</p>
        </section>

        <!-- 4. Entropy Analysis Section -->
        <section id="entropy" class="section visible">
            <div class="section-header">
                <h2>
                    <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <circle cx="7.5" cy="7.5" r="1.5" />
                        <circle cx="18.5" cy="5.5" r="1.5" />
                        <circle cx="11.5" cy="11.5" r="1.5" />
                        <circle cx="7.5" cy="16.5" r="1.5" />
                        <circle cx="17.5" cy="14.5" r="1.5" />
                    </svg>
                    Exploration Pattern
                </h2>
                <p>Scatter plot showing Access Entropy vs Coverage by model. Opacity represents accuracy. Higher entropy
                    = more uniform access; Higher coverage = more fields explored.</p>
            </div>
            <div class="dimension-toggle">
                <button class="toggle-btn active" data-entropy-scenario="10k">10-K</button>
                <button class="toggle-btn" data-entropy-scenario="mimic">MIMIC</button>
            </div>
            <div class="charts-grid three-col">
                <div class="chart-card">
                    <h3 id="entropy-model-0-title">GPT-5.2</h3>
                    <div id="entropy-model-0" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3 id="entropy-model-1-title">Claude-4.5-Sonnet</h3>
                    <div id="entropy-model-1" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3 id="entropy-model-2-title">Gemini-3-Flash</h3>
                    <div id="entropy-model-2" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3 id="entropy-model-3-title">GLM-4.6</h3>
                    <div id="entropy-model-3" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3 id="entropy-model-4-title">Qwen3-Next-80B-A3B</h3>
                    <div id="entropy-model-4" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3 id="entropy-model-5-title">DeepSeek-V3.2</h3>
                    <div id="entropy-model-5" class="chart-container-tall"></div>
                </div>
            </div>
            <p class="section-description">Advanced LLMs tend to operate in a balanced exploration regime that combines
                adequate coverage with focused access. Such a regime is consistently observed across different
                scenarios.</p>
        </section>

        <!-- 5. Error Analysis Section -->
        <section id="error" class="section visible">
            <div class="section-header">
                <h2>
                    <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <path d="m21.73 18-8-14a2 2 0 0 0-3.48 0l-8 14A2 2 0 0 0 4 21h16a2 2 0 0 0 1.73-3Z" />
                        <line x1="12" x2="12" y1="9" y2="13" />
                        <line x1="12" x2="12.01" y1="17" y2="17" />
                    </svg>
                    Error Analysis
                </h2>
                <p>Breakdown of error types encountered during agent interactions, grouped by main categories.</p>
            </div>
            <div class="charts-grid single">
                <div class="chart-card wide">
                    <div id="error-chart" class="chart-container-double"></div>
                </div>
            </div>
            <p class="section-description">Our findings revealed that 58% of errors stemmed from insufficient
                exploration, both in terms of breadth and depth. This imbalance in exploration often leads to suboptimal
                results, regardless of the model’s overall capability.
                Additionally, around 40% of the errors were attributed to other factors. For more powerful models,
                over-reasoning was common, where the model made assumptions not fully supported by the data. In other
                cases, models misinterpreted the insights, such as mistaking a downward trend for an upward one. Less
                capable models, on the other hand, tended to make more fundamental errors, such as repeatedly debugging
                or struggling with missing data, which could disrupt the overall coherence of the analysis.</p>
        </section>

        <!-- 6. Probing Results Section -->
        <section id="probing" class="section visible">
            <div class="section-header">
                <h2>
                    <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none"
                        stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round">
                        <circle cx="11" cy="11" r="8" />
                        <path d="m21 21-4.3-4.3" />
                    </svg>
                    Self-Termination
                </h2>
                <p>Analyze the willingness of models to terminate their own analysis.</p>
            </div>
            <div id="probing-legend" class="shared-legend"></div>
            <div class="charts-grid three-col">
                <div class="chart-card">
                    <h3>MIMIC</h3>
                    <div id="probing-mimic" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3>GLOBEM</h3>
                    <div id="probing-globem" class="chart-container-tall"></div>
                </div>
                <div class="chart-card">
                    <h3>10-K</h3>
                    <div id="probing-10k" class="chart-container-tall"></div>
                </div>
            </div>
            <p class="section-description"> Clear differences emerge across model generations. Qwen3 and Qwen3-Next
                exhibit a consistently increasing probability, indicating growing confidence that a complete report can
                be produced as more information is accumulated, whereas the Qwen2.5 series shows pronounced fluctuations
                and remains uncertain about whether exploration can be terminated at the current step. Moreover,
                Qwen3-Next maintains higher confidence with lower variance throughout, suggesting that it has more
                confidence that exploration is progressing towards a more comprehensive and deeper report.</p>
        </section>
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