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| <header class="header" data-measure-role="header"> |
| <div> |
| <h1>Accelerating Regression Tasks with Quantum Algorithms</h1> |
| <div class="subtitle">A claim-by-claim audit of six universal quantum runtime guarantees</div> |
| </div> |
| <div class="paper-id">ICML 2026 #7771<br>TBSyYj4VV6</div> |
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| <section class="banner" data-measure-role="banner"> |
| <div class="banner-score">6 FALSIFIED<br>0 BLOCKED</div> |
| <div class="banner-text"> |
| Claims 1, 2, and 4 have sampler-domain and ε-power contradictions. |
| Claims 5–6 omit the sampler's required regime; Claim 3 has pre-2025 |
| quantum Lasso prior art. |
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| <article class="card" data-measure-role="card"> |
| <h2>Core sparsification</h2> |
| <div class="claim falsified"> |
| <span class="status">CLAIM 1 · FALSIFIED</span><br> |
| Algorithm 2 requests M proportional to n/ε² samples although its |
| cited MultiSample contract requires M≤m. Its explicit loop is |
| Ω(ε⁻²), contradicting the displayed ε⁻¹ runtime at fixed dimensions. |
| </div> |
| <div class="claim falsified"> |
| <span class="status">CLAIM 2 · FALSIFIED</span><br> |
| Its exact pipeline explicitly processes Θ̃(n/ε²) samples, leaving |
| the cited sampler domain and contradicting the displayed ε⁻¹ |
| runtime at fixed dimensions. |
| </div> |
| <div class="micro">Exact audit: 11/11 source-valid ε cells violate M≤m; the threshold control passes.</div> |
| </article> |
| </div> |
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| <article class="card" data-measure-role="card"> |
| <h2>Regularized regression</h2> |
| <div class="claim falsified"> |
| <span class="status">CLAIM 3 · FALSIFIED</span><br> |
| Quantum Lasso algorithms from 2021 and 2023 predate the target. |
| Separately, a λ omission gives an exact 7/40 impossibility gap. |
| </div> |
| <div class="claim falsified"> |
| <span class="status">CLAIM 4 · FALSIFIED</span><br> |
| The valid Ridge augmentation [A;√λI],[b;0] inherits Claim 2's |
| sampler-domain and ε-power contradictions. |
| </div> |
| <div class="micro">Primary dates: 2021-10-25 and 2023-12-21 precede 2025-09-29.</div> |
| </article> |
| </div> |
|
|
| <div class="column" data-measure-role="column"> |
| <article class="card" data-measure-role="card"> |
| <h2>Robust and ℓp losses</h2> |
| <div class="claim falsified"> |
| <span class="status">CLAIM 5 · FALSIFIED</span><br> |
| γ₁ matches Huber, but the all-ε framework eventually invokes |
| MultiSample outside its stated M≤m domain. |
| </div> |
| <div class="claim falsified"> |
| <span class="status">CLAIM 6 · FALSIFIED</span><br> |
| A valid p=3/2 family contradicts the all-ε framework domain. The |
| restricted constant-ε, large-m regime is not denied. |
| </div> |
| <div class="micro">Claims 5–6 are MEDIUM confidence because their hidden polynomial term absorbs the loop power.</div> |
| </article> |
| </div> |
| </section> |
|
|
| <section class="evidence" data-measure-role="footer-strip"> |
| <div><strong>Compute</strong><br>CPU only; no GPU or quantum hardware</div> |
| <div><strong>Controls</strong><br>Independent checkers and fail-closed tests</div> |
| <div><strong>Live judge</strong><br>12/12; all six FALSIFIED</div> |
| </section> |
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| OpenResearch reproduction · arXiv:2509.24757 · deterministic evidence |
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