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Samy Houache

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#machine learning Preprint Oct 2026

Layerwise Error Attribution for Fast and Robust Mixed-Precision Post-Training Quantization

Mixed-precision post-training quantization is a network compression method that assigns bits layer by layer, under a global memory budget using a small calibration set. The main difficulties are to overcome the combinatorial nature of the allocation problem and to manage the sensitivity to small, potentially corrupted...

Samy Houache, Yann Traonmilin, Jean-François Aujol · 0 citations
Preprint Aug 2026

Sch\"affer's matrix inequality: the exact asymptotic constant

Let $S_n$ denote the smallest constant such that \[ |\det T|\|T^{-1}\| \leq S_n \|T\|^{n-1} \] for every invertible operator $T$ on every $n$-dimensional complex Banach space. In Hilbert space the optimal constant is $1$. For arbitrary Banach spaces, J. J. Sch\"affer proved in 1970 that \[S_n\leq \sqrt{en}. \] Subseque...

Samy Houache, O. Szehr, R. Zarouf · 0 citations

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