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<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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<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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<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>
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<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>
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<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>
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</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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