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<!--
Vendored + adapted into posterly from ARIS (Auto-claude-code-research-in-sleep),
skill paper-poster-html. Origin: https://github.com/wanshuiyin/Auto-claude-code-research-in-sleep
Upstream tokenization: MIT (c) 2026 wanshuiyin -- ../LICENSES/aris-MIT.txt
This is the tokenized form of posterly's own neutral template; the class names and
content are posterly's own (c) 2026 Ruishuo Chen. As an adapted derivative this file
ships as part of posterly under AGPL-3.0. See ../NOTICE.md.
-->
<!--
============================================================
TEMPLATE: landscape_4col (ARIS fork)
CANVAS: 60in × 36in landscape (ICML / NeurIPS / generic landscape)
LAYOUT: header → optional banner → 4 body columns → optional takeaways → footer
USE WHEN: standard ML conference poster with 3-5 content cards per column,
mix of figures + equations + small tables.
HOW TO USE:
1. Copy this file to your working directory as `poster.html`.
2. Edit the DESIGN TOKENS in `:root` to your lab/venue colors.
3. Replace TODO content placeholders (search for "TODO").
4. Run `python tools/run_gates.py poster.html` (the default driver: preflight -> style -> measure -> polish) to align columns and check style/structure.
5. Run `python tools/render_preview.py poster.html` to produce the PDF.
NOTE: as shipped, this scaffold passes `preflight` (structure) but is
EXPECTED to FAIL `measure`/`polish` -- figures are commented out and copy
is TODO stubs, so columns only fill the top of the canvas. Those two gates
judge a FILLED poster; balance them once you've added real content. See
templates/README.md ("Scaffolds, not finished posters").
MEASURE ROLES: every layout-critical element carries `data-measure-role`.
Generic measurement scripts depend on these — do not remove.
CANVAS RETARGETING: to print at another size, change the canvas in exactly
TWO places that must stay in sync -- the `@page { size: ... }` rule and the
`.poster { width/height }` (also the `@media print .poster { width/height }`).
Example: ICLR 2026 main conference uses 185cm 90cm landscape (official print
service spec) -- set @page to `185cm 90cm`, width to `1850 * var(--u)` and
height to `900 * var(--u)` (and the print-override .poster to `185cm`/`90cm`).
Adapted from posterly (MIT, © 2026 Ruishuo Chen) — see LICENSES/ & NOTICE.md;
ARIS modifications: flat de-gradient, --fs token scale, zero-inline-style
utilities, data-source/data-color-exempt contracts.
============================================================
-->
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Repro — Beyond Confidence: Adaptive and Coherent Decoding for DLMs</title>
<!-- No MathJax: every expression on this poster (k <= V/(d+1), |I^c_t|, etc.)
is set as plain HTML in .eq spans, so the typesetter would only add a
2 MB dependency and make the dollar signs in the cost table parse as
math delimiters. -->
<style>
/* =========================================================
CANVAS — 60" × 36" landscape
========================================================= */
@page { size: 60in 36in; margin: 0; }
:root {
/* ===== DESIGN TOKENS ===== */
/* Primary accent (header underline, card-highlight bar, section nums, .keyword) */
--accent: #A61C2B;
--accent-deep: #74141E;
--accent-light: #F6E8EA;
--accent-soft: #EFD6D9;
/* Secondary accent for "ours / best" emphasis (table .ours row, "★" callouts) */
--gold: #3D4A5C;
--gold-soft: #ECEDEF;
/* Text */
--text-primary: #1A1A1A;
--text-secondary: #555555;
--text-muted: #888888;
/* Backgrounds */
--bg-page: #F6F2F0;
--bg-card: #FFFFFF;
--bg-card-tint: #FAFAFB;
--bg-emphasis: var(--accent-light);
/* Borders */
--border-soft: #D8D8D8;
--border-strong: var(--accent);
/* Screen-only dark mat behind the poster (the off-canvas viewport
background). Print resets html/body to white, so this never reaches
paper; kept as a token so no color literal lives outside this block. */
--bg-viewport: #2B2B2B;
/* Base unit. Print: 1mm; screen preview: 1.6px (~3.78px = 1mm at 96dpi). */
--u: 1.6px;
/* Font-size scale (9 archetypes). Every `font-size` in this template
references one of these. `calc(var(--fs-N) * k)` is permitted ONLY for
a COMPONENTS.md-defined variant (e.g. `.eqn--large`). */
--fs-1: calc(9 * var(--u)); /* micro label */
--fs-2: calc(10 * var(--u)); /* small caption */
--fs-3: calc(11 * var(--u)); /* caption / table */
--fs-4: calc(12 * var(--u)); /* body text */
--fs-5: calc(13 * var(--u)); /* equation / emphasis */
--fs-6: calc(15 * var(--u)); /* subtitle */
--fs-7: calc(16 * var(--u)); /* section title */
--fs-8: calc(22 * var(--u)); /* banner number */
--fs-9: calc(32 * var(--u)); /* main title */
/* Fonts. Override at :root if your venue mandates a specific family. */
--font-serif: "Charter", "Source Serif Pro", "Georgia", serif;
--font-sans: "Inter", "Helvetica Neue", sans-serif;
/* Shadows & watermark ink — tokenized so rules 1/3 stay literal-free
(the faint radial page tint is the ONE allowed literal outside this
block; rule 5 validates it WHEN ENABLED -- the style gate ships with rules 4-5 off). */
--shadow-screen: 0 0 60px rgba(0, 0, 0, 0.5);
--shadow-card: 0 calc(2 * var(--u)) calc(6 * var(--u)) rgba(45, 95, 139, 0.05);
--ornament-ink: rgba(45, 95, 139, 0.06);
/* ===== END DESIGN TOKENS ===== */
}
/* =========================================================
RESET + BASE
========================================================= */
* { box-sizing: border-box; margin: 0; padding: 0; }
html, body {
background: var(--bg-viewport);
font-family: var(--font-serif);
color: var(--text-primary);
-webkit-font-smoothing: antialiased;
}
/* =========================================================
UTILITY CLASSES — replace inline `style=` in the body markup.
The template (and any finished poster) must carry ZERO `style=`
attributes. Use these classes instead. Two documented exceptions
exist ONLY as examples and may appear in comments, never live:
- a logo/seal SVG flagged data-color-exempt="logo"
- a paper figure `<img ... data-source="paper" style="width: NN%">`
(AR width tweak; prefer the .w-NN classes below where possible)
========================================================= */
/* Poster container — exact print dimensions; data-measure-role="poster" so poster_check.py
can verify the canvas size. */
.poster {
width: calc(1524 * var(--u));
height: calc(914 * var(--u));
background: var(--bg-page);
/* Page tint kept (radial only, all color stops alpha <= 0.06 per the
de-gradient policy: linear-gradient is banned, this low-alpha radial
wash is the single allowed exception). */
background-image:
radial-gradient(ellipse at top left, rgba(45, 95, 139, 0.06), transparent 40%),
radial-gradient(ellipse at bottom right, rgba(201, 162, 74, 0.05), transparent 50%);
margin: 20px auto;
padding: calc(10 * var(--u)) calc(14 * var(--u));
display: grid;
grid-template-rows: auto auto 1fr auto; /* header | banner | body | footer */
gap: calc(6 * var(--u));
box-shadow: var(--shadow-screen);
position: relative;
overflow: hidden;
}
/* Decorative top bar — flat solid accent (de-gradient). */
.poster::before {
content: "";
position: absolute; top: 0; left: 0; right: 0;
height: calc(8 * var(--u));
background: var(--accent);
}
/* =========================================================
HEADER
========================================================= */
.header {
display: grid;
grid-template-columns: 1fr minmax(50%, auto) 1fr; /* equal side tracks (1fr) -> the title track is centred on the poster, not just between the side blocks; the centre track is floored at 50% so a one-line title still fills it (else a short title measures narrow and trips a false HEADER/TITLE-SQUEEZED). Best-effort: a side block wide enough to clamp its 1fr track can still pull the title off-centre. */
align-items: center;
gap: calc(16 * var(--u));
padding: calc(2 * var(--u)) calc(4 * var(--u)) calc(5 * var(--u));
border-bottom: calc(2 * var(--u)) solid var(--accent);
}
.venue-badge {
justify-self: start; /* anchor to the far-left edge so the centre track stays centred */
display: flex; flex-direction: column;
align-items: center; justify-content: center;
min-width: calc(95 * var(--u));
text-align: center;
border-right: calc(1 * var(--u)) solid var(--border-soft);
padding-right: calc(12 * var(--u));
}
.venue-badge .vb-venue {
font-family: var(--font-sans);
font-weight: 800;
font-size: var(--fs-9);
color: var(--accent-deep);
line-height: 1;
letter-spacing: -0.5px;
}
.venue-badge .vb-year {
font-family: var(--font-sans);
font-size: var(--fs-5);
color: var(--text-secondary);
margin-top: calc(3 * var(--u));
letter-spacing: 1.2px;
}
.venue-badge .vb-tag {
font-family: var(--font-sans);
font-size: var(--fs-2);
color: var(--accent);
font-weight: 700;
margin-top: calc(2 * var(--u));
letter-spacing: 1.2px;
}
.title-block { text-align: center; min-width: 0; }
.title {
font-family: var(--font-sans);
font-weight: 800;
font-size: var(--fs-9);
line-height: 1.05;
color: var(--accent-deep);
letter-spacing: -0.5px;
}
.title .accent { color: var(--gold); }
.subtitle {
font-family: var(--font-sans);
font-weight: 500;
font-size: var(--fs-6);
color: var(--text-secondary);
margin-top: calc(2 * var(--u));
font-style: italic;
}
.authors-line {
font-family: var(--font-sans);
font-size: var(--fs-4);
color: var(--accent);
font-weight: 600;
margin-top: calc(3 * var(--u));
}
.authors-line .author { margin: 0 calc(4 * var(--u)); }
.authors-line sup { font-size: 0.7em; color: var(--accent); }
.authors-line .aff {
color: var(--text-secondary);
font-weight: 400;
display: block;
margin-top: calc(2 * var(--u));
font-size: var(--fs-4);
}
.right-block {
justify-self: end; /* keep logo+QR in the far-right corner */
display: flex; align-items: center;
gap: calc(10 * var(--u));
}
.qr-block { display: flex; flex-direction: column; align-items: center; gap: calc(2 * var(--u)); }
.qr-block img {
/* 65u, not 85u: the title block is 449px tall and sets the header height,
so a QR up to 65u rides along for free; 85u grew the header 71px and
pushed every column past the footer. 65mm still scans from arm's length. */
width: calc(65 * var(--u));
height: calc(65 * var(--u));
border: calc(2 * var(--u)) solid var(--accent);
border-radius: calc(4 * var(--u));
background: white;
padding: calc(2 * var(--u));
}
.qr-label {
font-family: var(--font-sans);
font-size: var(--fs-3);
color: var(--accent);
font-weight: 600;
}
/* Optional logo slot — drop your lab logo here. Keep its rendered height
close to the QR (~85u) so the header doesn't grow disproportionately.
A raster logo needs no exemption. An inline-SVG logo with brand colors
must carry data-color-exempt="logo" so style_check skips its fills, e.g.:
<svg data-color-exempt="logo" ...> ... </svg> */
.logo-slot img { height: calc(85 * var(--u)); width: auto; max-width: calc(360 * var(--u)); object-fit: contain; display: block; }
/* Logo size classes on .logo-slot -- pick from the file's aspect ratio (SKILL.md Gate E).
tall/square sit at the QR-matched slot height; wide is intentionally shorter (~68% of the
QR) and width-capped so a long wordmark doesn't out-mass the title. Do NOT combine these
with logo-stack (that row is width-normalized, below). */
.logo-slot.logo-tall img,
.logo-slot.logo-square img { height: calc(85 * var(--u)); }
.logo-slot.logo-wide img { height: calc(58 * var(--u)); max-width: calc(300 * var(--u)); }
/* Logo chip: a solid backing that keeps a transparent / edge-white logo legible on a
colored/dark header (white chip) or a light header (.logo-chip-dark); the padding + radius
fold a stray white box into a deliberate rounded tile (SKILL.md Gate E, Background). */
.logo-chip {
display: inline-flex; align-items: center; justify-content: center;
background: var(--bg-card); border-radius: calc(3 * var(--u));
padding: calc(3 * var(--u)) calc(5 * var(--u));
}
.logo-chip.logo-chip-dark { background: var(--text-primary); }
/* logo-row: institution logos in the header right block (REAL logos the
user provided — never fabricate a seal). Each img MUST carry
data-color-exempt="logo"; height pairs with the QR. */
.logo-row { display: flex; align-items: center; gap: calc(5 * var(--u)); }
.logo-row img { height: calc(68 * var(--u)); width: auto; display: block; }
/* --boxed variant: each logo in a labeled tile (logo + institution name) —
more presence at poster distance; white tile + soft border, no new hues. */
.logo-row .lr-item {
display: flex; flex-direction: column; align-items: center;
gap: calc(2 * var(--u));
background: var(--bg-card);
border: 1px solid var(--border-soft);
border-radius: calc(3 * var(--u));
padding: calc(4 * var(--u)) calc(6 * var(--u));
}
.logo-row .lr-item img { height: calc(58 * var(--u)); }
.logo-row .lr-label {
font-family: var(--font-sans); font-weight: 600; font-size: var(--fs-1);
color: var(--text-secondary); text-align: center; line-height: 1.15;
}
/* logo-stack variant: WIDE WORDMARKS (AR >= ~2) normalized to EQUAL WIDTH
and stacked vertically, left-aligned. Use when two wide wordmarks of
different aspect ratio read unbalanced height-matched in a row (equal
width lets the less-wide mark grow taller and aligns a clean block).
NOT for a square seal or tall mark (equal width blows it up — keep those
height-matched). Do NOT also apply the logo-wide/tall/square classes. */
.logo-row.logo-stack { flex-direction: column; align-items: flex-start; gap: calc(8 * var(--u)); }
.logo-row.logo-stack img { width: calc(170 * var(--u)); height: auto; }
/* venue badge may carry the official venue logo above its text line */
.venue-badge img { height: calc(62 * var(--u)); width: auto; display: block; margin: 0 auto calc(2 * var(--u)); }
.venue-badge .vb-title { font-family: var(--font-sans); font-weight: 800; font-size: var(--fs-5); color: var(--accent-deep); letter-spacing: 0.5px; }
/* =========================================================
OPTIONAL FRAMEWORK BANNER (delete this whole section if you don't need it)
========================================================= */
.framework-banner {
display: flex;
align-items: center;
gap: calc(16 * var(--u));
/* Flat solid emphasis fill (de-gradient). */
background: var(--bg-emphasis);
border: calc(1 * var(--u)) solid var(--border-soft);
border-left: calc(6 * var(--u)) solid var(--accent);
border-radius: calc(6 * var(--u));
padding: calc(6 * var(--u)) calc(14 * var(--u));
}
.framework-banner img { height: calc(120 * var(--u)); width: auto; display: block; }
.framework-banner .banner-stats {
flex: 1;
display: grid;
/* One row, not 2x2: the 2x2 stack made the banner 497px tall and starved
the body grid by ~190px per column. All four numbers read fine in a row. */
grid-template-columns: repeat(4, 1fr);
gap: calc(6 * var(--u));
}
.framework-banner .bs-item {
background: white;
border: calc(1 * var(--u)) solid var(--border-soft);
border-left: calc(3 * var(--u)) solid var(--accent);
border-radius: calc(3 * var(--u));
padding: calc(2 * var(--u)) calc(8 * var(--u));
text-align: center;
}
.framework-banner .bs-num {
font-family: var(--font-sans);
font-weight: 800;
font-size: var(--fs-8);
color: var(--accent);
line-height: 1;
}
.framework-banner .bs-label {
font-family: var(--font-sans);
font-size: var(--fs-3);
color: var(--text-secondary);
margin-top: calc(2 * var(--u));
line-height: 1.2;
}
.framework-banner .fb-text {
/* 1.4, not the shipped 1.6: the verdict's last line fills 89% of the
measure here vs 75% at 1.6 (Gate B wants >=80%). Fill jumps
non-monotonically with this ratio -- swept 1.2-2.4 to pick it. */
flex: 1.4;
font-family: var(--font-serif);
font-size: var(--fs-6);
line-height: 1.5;
text-wrap: pretty; /* prose: fill each line, protect last-line orphan. NOT balance — on multi-sentence prose balance shortens+hyphenates line 1 (crammed-left, gap-right). */
text-align: center;
}
.framework-banner .fb-text strong { color: var(--accent-deep); }
.framework-banner .fb-label {
display: inline-block;
background: var(--accent);
color: white;
font-family: var(--font-sans);
font-size: var(--fs-5);
font-weight: 700;
padding: calc(2 * var(--u)) calc(8 * var(--u));
border-radius: calc(4 * var(--u));
text-transform: uppercase;
letter-spacing: 1px;
vertical-align: middle;
line-height: 1;
position: relative;
top: calc(-1 * var(--u));
}
/* Method-overview figure for the banner (banner-figure component,
catalogued in COMPONENTS.md). Usually CAPTIONLESS -- the banner text
block beside it is the figure's explanation. width:min-content collapses
the slot to the IMAGE (a captionless figure's slot IS the image); if a
short caption is used it wraps at the image box and can NEVER set the
flex-item width; margin-inline centres a block image (text-align does
not); overflow-wrap guards a long unbreakable token. Do NOT hand-roll a
.fb-fig wrapper or a bare <img class="w-100"> here. */
.framework-banner .banner-figure {
flex: 0 0 auto;
width: min-content;
margin: 0;
text-align: center;
}
.framework-banner .banner-figure img {
height: calc(120 * var(--u));
width: auto;
display: block;
margin-inline: auto;
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========================================================= */
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/* =========================================================
DENSITY COMPONENTS (catalogued — see COMPONENTS.md).
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========================================================= */
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/* =========================================================
PRINT OVERRIDE — KEEP LAST so it wins source-order ties.
========================================================= */
@media print {
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:root { --u: 1mm; }
}
</style>
</head>
<body>
<div class="poster" data-measure-role="poster">
<!-- =========================== HEADER =========================== -->
<header class="header" data-measure-role="header">
<div class="venue-badge">
<div class="vb-venue">ICML</div>
<div class="vb-year">2026</div>
<div class="vb-tag">REPRO</div>
</div>
<div class="title-block">
<h1 class="title">Beyond Confidence: Adaptive and Coherent Decoding for Diffusion Language Models
<span class="accent">[ A Reproduction ]</span></h1>
<div class="subtitle">The idea reproduces. The speedup it is packaged with is structurally impossible at the paper's own hyperparameters.</div>
<div class="authors-line">
<span class="author">Independent reproduction of ICML 2026 paper #6883 (OpenReview b0O96emqNj · arXiv 2512.02044)</span>
<span class="aff">· no official code released — reimplemented from the equations · Dream-7B-Instruct · 1×L40S, ~7 GPU-h, ~$13</span>
</div>
</div>
<div class="qr-block">
<img src="images/qr_bundle.png" alt="QR code linking to the reproduction bundle on Hugging Face">
<div class="qr-label">code, per-example<br>outputs & job scripts</div>
</div>
</header>
<!-- ===================== OPTIONAL FRAMEWORK BANNER =====================
Delete this entire <section> if your poster doesn't need a banner.
(To do so, also remove `auto` from the grid-template-rows above.) -->
<section class="framework-banner" data-measure-role="banner">
<div class="fb-text">
<span class="fb-label">Verdict</span>
<strong>CCD's quality gain reproduces (+4.69 vs +4.65 claimed). Its advertised 3.48× speedup cannot exist at the stated <span class="keyword">V=4, d=3</span></strong> — a ceiling <strong>k ≤ V/(d+1)</strong>, derived from the paper's own Eqs. (16)–(17), caps decoding at exactly 1 token per step. Widening the buffer to V≈16 buys back the reported speed, and spends the quality gain to do it. The two are each reachable alone, never together.
</div>
<div class="banner-stats">
<div class="bs-item"><div class="bs-num">+4.69</div><div class="bs-label">CCD on HumanEval<br>(paper: +4.65) ✓</div></div>
<div class="bs-item"><div class="bs-num">1.02×</div><div class="bs-label">measured speedup<br>(paper: 3.48×) ✗</div></div>
<div class="bs-item"><div class="bs-num">8/8</div><div class="bs-label">configs match the<br>ceiling (1.9% err)</div></div>
<div class="bs-item"><div class="bs-num">V≈16</div><div class="bs-label">recovers the paper's<br>numbers, not V=4</div></div>
</div>
</section>
<!-- ============================ BODY ============================ -->
<div class="body-grid" data-measure-role="body">
<div class="column" data-measure-role="column">
<div class="card highlight" data-measure-role="card">
<div class="section-title"><span class="num">1</span><span class="st-text">What was reproduced</span></div>
<p class="body-text">
CCD replaces a diffusion LM's <span class="keyword">single-step</span> confidence with a marginal
<strong>p̄</strong> averaged over a sliding buffer of the last <em>d</em> iterations, keeping the
top-<em>V</em> tokens (Eq. 6/16/17). CCD-DS spends that signal as an
<span class="keyword">adaptive unmasking budget</span> (Eq. 20).
</p>
<p class="body-text mt-3">
<strong>No code was released.</strong> We reimplemented from the equations as a drop-in replacement for
Dream's <code>_sample</code>, copying its confidence metric, logit shift and budget schedule verbatim —
the arms differ <em>only</em> in which distribution a token is drawn from.
</p>
</div>
<div class="card" data-measure-role="card">
<div class="section-title"><span class="num">2</span><span class="st-text">The harness is faithful</span></div>
<p class="body-text">Three independent baselines land on the paper's numbers — this is what licenses every verdict below.</p>
<table class="result-table">
<thead><tr><th>baseline</th><th>paper</th><th>ours</th></tr></thead>
<tbody>
<tr><td>Trip Plan</td><td>15.10</td><td class="num-cell">15.62</td></tr>
<tr><td>HumanEval</td><td>52.66</td><td class="num-cell">53.12</td></tr>
<tr><td>Trip City=3</td><td>58</td><td class="num-cell">55.0</td></tr>
</tbody>
</table>
<p class="body-text mt-3 fs-4">
Hyperparameters are Dream's own eval scripts — we tuned nothing.
</p>
</div>
<div class="card" data-measure-role="card">
<div class="section-title"><span class="num">3</span><span class="st-text">Bonus: Dream's own recipe is broken</span></div>
<p class="body-text">
Dream's published HumanEval setting (<span class="keyword">T=0.1, top_p=0.9</span>) emits
<strong>768/768 EOS</strong> under Dream's <em>own</em> <code>diffusion_generate</code> — yet this paper
and the Dream paper both report <strong>52.66</strong> from it.
</p>
<p class="body-text mt-3">
<strong>Cause:</strong> T<1 scales logits ×1/T and top_p<1 keeps only the argmax, so negative
entropy is <span class="keyword">exactly 0 at 242/256 positions</span> and the ranking ties. Only the
<em>conjunction</em> is fatal — we ran HumanEval at T=0.
</p>
</div>
<div class="card pb-12" data-logbook-target="conclusion" data-measure-role="card">
<div class="section-title"><span class="num">4</span><span class="st-text">Scope, cost & what's next</span></div>
<p class="body-text">
<strong>~7 GPU-h on one L40S, ~$13</strong>, against ~250 GPU-h (~$450) to run all of Table 1 at
full size — spent on the claims that discriminate.
</p>
<p class="body-text mt-3">
<strong>Honest limits.</strong> Scores ran at n=64 (Trip, HumanEval), n=40 (ablation), n=16 (temperature) —
underpowered, so we report McNemar paired tests, not point estimates, and call Claim 3's score
<em>inconclusive</em> rather than refuted. <strong>Next:</strong> full HumanEval (n=164, ~$6) would take
CCD's 3–0 to p≈0.008.
</p>
</div>
</div>
<div class="column" data-measure-role="column">
<div class="card" data-logbook-target="claim-2-propositions-1-and-2" data-measure-role="card">
<div class="section-title"><span class="num">5</span><span class="st-text">Theory: Prop. 1 ✓, Prop. 2 ✗</span></div>
<p class="body-text">
<strong>Prop. 1</strong> — <em>H(x|s) = H(x|c,s) + I(x;c|s)</em> — is a correct identity, exact to
<strong>2.2e-15</strong> over 2000 seeded random joints.
</p>
<p class="body-text mt-3">
<strong>Prop. 2 does not follow.</strong> Lemma 1 is an <em>upper</em> bound; Eq. (12) swaps its RHS for a
trajectory-averaged MI that is <span class="keyword">strictly smaller</span> (0.191 vs 0.669 bits in our
counterexample) while keeping the ≤.
</p>
<p class="body-text mt-3">
Worse, its RHS is <strong>sampler-independent</strong> — it depends on the data and the trained model,
not on how tokens are picked. The only lever is <em>G/T</em>, so CCD-DS's fewer steps make the bound
<strong>~3.4× looser</strong> — the opposite of governing it.
</p>
</div>
<div class="card highlight" data-measure-role="card">
<div class="section-title"><span class="num">6</span><span class="st-text">A ceiling on the speedup</span></div>
<p class="body-text">
Let <em>S<sub>u</sub></em> be the top-<em>V</em> set at step <em>u</em>. Eq. (17) intersects the last
<em>d</em>+1 of them; every token decoded in that window came from <em>S<sub>t−d</sub></em> and never
returns, which in steady state forces:
</p>
<div class="eqn eqn--large">
|I<sup>c</sup><sub>t</sub>| ≤ V − Σk ⇒ <strong>k ≤ V/(d+1)</strong>
</div>
<p class="body-text mt-3">
Speedup <em>is</em> mean tokens/step, so <strong>V/(d+1) caps it</strong>. At the paper's
<span class="keyword">V=4, d=3</span>: <strong>4/4 = 1.0×</strong> — no speedup is possible. The cap
follows from position bookkeeping alone; no model or benchmark enters.
</p>
</div>
<div class="card pb-9" data-logbook-target="claim-1-ccd-sliding-window-buffer-approximates-the-marginal" data-measure-role="card">
<div class="section-title"><span class="num">7</span><span class="st-text">Measured: the budget starves</span></div>
<figure class="figure">
<img class="w-90" src="images/fig_ic_hist.png" alt="Histogram of intersection size">
<div class="caption">At V=4, d=3 the intersection holds exactly one candidate in 72% of steps — Eq. (20)'s budget has nothing to adapt with.</div>
</figure>
<p class="body-text mt-3 fs-4">
The stability heuristic — the part the paper describes tuning — passes on <strong>96.1%</strong> of candidates. It is not the bottleneck; the intersection is.
</p>
</div>
</div>
<div class="column" data-measure-role="column">
<div class="card" data-measure-role="card">
<div class="section-title"><span class="num">8</span><span class="st-text">The ceiling predicts, 8/8</span></div>
<figure class="figure">
<img class="w-80" src="images/fig_k_law.png" alt="Predicted vs measured tokens per step">
<div class="caption">Predicted from the equations before any run, then measured on Dream-7B: mean absolute error 1.9%, worst case 6.7%. Nothing here is fitted.</div>
</figure>
<p class="body-text mt-3 fs-4">
It holds on the <em>d</em> axis too: d=1→1.95 (predicted 2.00), d=2→1.31 (1.33), d=3→1.01 (1.00).
At V=1–2 CCD-DS degenerates <em>exactly</em> to baseline: 256.0 steps, 99.6% fallback, identical score.
</p>
</div>
<div class="card highlight" data-measure-role="card">
<div class="section-title"><span class="num">9</span><span class="st-text">V≈16 reconciles the paper</span></div>
<p class="body-text">
The bound says 3.48× needs <strong>V = 3.48×4 ≈ 14</strong>. We ran V=16 — nothing else changed —
and <em>two independent reported quantities</em> reappear:
</p>
<table class="result-table">
<thead><tr><th></th><th>paper</th><th>V=4</th><th>V=16</th></tr></thead>
<tbody>
<tr><td>CCD Δ</td><td>+1.83</td><td>−1.56</td><td class="num-cell">+1.56 ✓</td></tr>
<tr><td>DS steps</td><td>75.2</td><td>252.1</td><td class="num-cell">70.3 ✓</td></tr>
<tr><td>DS speedup</td><td>3.48×</td><td>1.02×</td><td class="num-cell">3.64× ✓</td></tr>
</tbody>
</table>
<p class="body-text mt-3">
On HumanEval too: the bound says 3.04× needs V≥12.2; <strong>V=12 gives 2.89×</strong>. The
published <span class="keyword">V=4</span> appears to fit neither benchmark.
</p>
</div>
<div class="card pb-7" data-logbook-target="claim-3-trip-plan-speedup-and-score-dream-7b" data-measure-role="card">
<div class="section-title"><span class="num">10</span><span class="st-text">Claim 3 — Trip Plan</span></div>
<table class="result-table">
<thead><tr><th>arm</th><th>paper</th><th>ours</th><th>speedup</th></tr></thead>
<tbody>
<tr><td>baseline</td><td>15.10</td><td class="num-cell">15.62</td><td>1.00×</td></tr>
<tr><td>+ CCD</td><td>16.93</td><td class="num-cell">14.06</td><td>1.00×</td></tr>
<tr><td>+ CCD-DS</td><td>19.01</td><td class="num-cell">14.06</td><td class="num-cell">1.02×</td></tr>
<tr class="ours"><td>CCD-DS <em>V=16</em></td><td>—</td><td class="num-cell">12.50</td><td class="num-cell">3.64×</td></tr>
</tbody>
</table>
<p class="body-text mt-3">
<strong>Speedup refuted:</strong> 1.02× vs 3.48× claimed (k=1.015 against the bound's 1.00).
The score is <em>inconclusive</em>, not refuted — only <strong>1 of 64</strong> examples changed
(McNemar p=1.000), though CCD drove 77% of steps and rewrote 69% of the plans.
</p>
</div>
</div>
<div class="column" data-measure-role="column">
<div class="card highlight" data-logbook-target="claim-4-humaneval-ccd-and-ccd-ds-dream-7b" data-measure-role="card">
<div class="section-title"><span class="num">11</span><span class="st-text">Claim 4 — CCD reproduces</span></div>
<p class="body-text">
The paper's headline quality claim lands to within <strong>0.04 points</strong>:
</p>
<table class="result-table">
<thead><tr><th>HumanEval, n=64</th><th>paper</th><th>ours</th></tr></thead>
<tbody>
<tr><td>baseline</td><td>52.66</td><td class="num-cell">48.44</td></tr>
<tr class="ours"><td><strong>+ CCD Δ</strong></td><td><strong>+4.65</strong></td><td class="num-cell"><strong>+4.69</strong> ✓</td></tr>
<tr><td>+ CCD-DS speedup</td><td>3.04×</td><td class="num-cell">1.01× ✗</td></tr>
</tbody>
</table>
<p class="body-text mt-3">
Unanimous but underpowered: <strong>3 of 64</strong> improved, none worsened, <em>p=0.250</em>. CCD drove
96% of steps and rewrote 33% of programs.
</p>
</div>
<div class="card" data-logbook-target="claim-5-historical-buffer-size-ablation" data-measure-role="card">
<div class="section-title"><span class="num">12</span><span class="st-text">Claim 5 — buffer ablation</span></div>
<figure class="figure">
<img class="w-80" src="images/fig_ablation_score.png" alt="Accuracy vs buffer width">
<div class="caption">Accuracy falls monotonically and never beats baseline. The paper's 70% peak at size 4; we measure 50.0, under our 52.5 baseline.</div>
</figure>
<p class="body-text mt-3 fs-4">
The reported "95.54 steps at buffer 4" sits between our V=8 (132.8) and V=16 (68.6) — V≈11 again.
</p>
</div>
<div class="card pb-8" data-logbook-target="claim-6-temperature-robustness" data-measure-role="card">
<div class="section-title"><span class="num">13</span><span class="st-text">Claim 6 — temperature</span></div>
<figure class="figure">
<img class="w-75" src="images/fig_temperature.png" alt="pass@1 vs sampling temperature, baseline vs CCD-DS">
<div class="caption">The gain appears only at T=0 (+6.25 vs +9.8 claimed); at every other temperature CCD-DS is worse or level.</div>
</figure>
<p class="body-text mt-3 fs-4">
At T=0, <strong>50.0 vs 43.75</strong>. <strong>Caveat:</strong> n=16, and T=0.1/0.4/0.7 sit inside the
collapse regime — our weakest test.
</p>
</div>
</div>
</div>
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<strong class="method-name">Coherent Contextual Decoding (CCD)</strong> · ICML 2026 #6883 · arXiv 2512.02044 ·
Reproduction bundle, all per-example outputs and the exact job scripts: huggingface.co/datasets/ashishk1331/ccd-repro-code
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Logbook (every run, figure and per-example output): <span class="repo">huggingface.co/spaces/ashishk1331/ccd-repro-logbook</span>
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