Fourier entropy of threshold functions and their compositions MBJA03ES8N
| URI | m2://res/MBJA03ES8N |
|---|---|
| Kind | preprint |
| Creators | Yitzchak Shmalo |
| Date | 2026-10-12 |
| Subjects | arxiv cs.IT, arxiv math.IT, arxiv math.PR |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-12 |
| Ids | arXiv 2610.16069 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| 149Y3736YM | statement | theorem D | arxiv |
| The weak bound | statement | proposition 6.5 | arxiv |
| Hybrid formulas with LTF blocks | statement | corollary 7.4 | arxiv |
| 3Q6QC8JPVE | statement | lemma 5.2 | arxiv |
| 4VVYZFT5D6 | statement | theorem B | arxiv |
| Elementary gate constants | statement | lemma 7.5 | arxiv |
| Concentration after resampling | statement | lemma 6.1 | arxiv |
| Relative noise estimate | statement | lemma 3.3 | arxiv |
| Exact shared-data identities | statement | proposition 8.6 | arxiv |
| 73FXSM1J0S | statement | corollary 4.3 | arxiv |
| 7R94P4XH7S | statement | corollary 7.8 | arxiv |
| Quadratic probability correction | statement | lemma 8.4 | arxiv |
| Spectral-level entropy | statement | lemma 2.1 | arxiv |
| 8W4AQ658JP | statement | theorem 5.1 | arxiv |
| Selector closure from full FEI bounds | statement | corollary 8.3 | arxiv |
| Exact activation identities | statement | proposition 8.9 | arxiv |
| Threshold gates under product measures | statement | theorem 6.6 | arxiv |
| ADNMFV8JAH | statement | lemma 2.2 | arxiv |
| AQ1YRESFZN | statement | lemma 5.3 | arxiv |
| Exact selector identities | statement | proposition 8.1 | arxiv |
| Constant-preserving composition | statement | corollary 7.2 | arxiv |
| B5SYWEEDX9 | statement | corollary 8.10 | arxiv |
| Exact composition identities | statement | proposition 7.1 | arxiv |
| Constant-preserving strong selector closure | statement | corollary 8.5 | arxiv |
| A logarithmic spectral-rank estimate | statement | lemma 6.3 | arxiv |
| Variational witness bound | statement | proposition 5.5 | arxiv |
| Read-once threshold and parity formulas | statement | corollary 7.3 | arxiv |
| Affine-subspace selectors | statement | corollary 8.2 | arxiv |
| ECZ2QYG3J1 | statement | lemma 5.4 | arxiv |
| EEPV53GK7Z | statement | theorem 4.2 | arxiv |
| Full strong entropy | statement | corollary 7.7 | arxiv |
| Orthogonal neighboring branches | statement | corollary 8.7 | arxiv |
| J5X7TZ1985 | statement | lemma 3.2 | arxiv |
| KEWHMS31PB | statement | corollary 9.1 | arxiv |
| A small upper tail lies above the mean | statement | lemma 6.2 | arxiv |
| P4M1W22W8T | statement | theorem C | arxiv |
| Recursive regular multiplexers | statement | corollary 8.8 | arxiv |
| Rank tail and mean | statement | lemma 3.4 | arxiv |
| RYKMKDMKEA | statement | lemma 4.1 | arxiv |
| The empty coefficient and the spectral deficit | statement | lemma 7.6 | arxiv |
| The normalization credit | statement | lemma 6.4 | arxiv |
| WCC64M6JBD | statement | theorem A | arxiv |
| XMC7JJJ4FM | statement | lemma 3.1 | arxiv |
Catalogue records
- arxiv: 2610.16069 (work)
- arxiv_text: 2610.16069 (work)