{ "schema_version":1, "title":"Reproduction: Balancing Learning Rates Across Layers: Exact Two-Step Dynamics and Optimal Scaling in Linear Neural Networks", "emoji":"🎯", "space_id":"SabaPivot/repro-balancing-lr", "paper":{"arxiv_id":"2606.00340","openreview_id":"4vztmTrGhd"}, "tags":["icml2026-repro","paper-4vztmTrGhd"], "updated_at":"2026-07-22T02:16:00+00:00", "root":{"slug":"index","title":"Reproduction: Balancing Learning Rates Across Layers: Exact Two-Step Dynamics and Optimal Scaling in Linear Neural Networks","file":"pages/index.md","children":[ {"slug":"executive-summary","title":"Executive summary","file":"pages/executive-summary/page.md","children":[]}, {"slug":"claim-1-thm-5-3-exact-two-layer-1-step-and-2-step-test-loss","title":"Claim 1: Exact two-layer one- and two-step losses","file":"pages/claim-1-thm-5-3-exact-two-layer-1-step-and-2-step-test-loss/page.md","children":[]}, {"slug":"claim-2-cor-5-4-symmetric-lr-optimal-after-two-steps-1-alpha-3-2","title":"Claim 2: Two-layer asymmetric-to-balanced transition","file":"pages/claim-2-cor-5-4-symmetric-lr-optimal-after-two-steps-1-alpha-3-2/page.md","children":[]}, {"slug":"claim-3-thm-5-5-three-layer-one-two-step-formulas-critical-o-h","title":"Claim 3: Three-layer losses and critical O(h) scale","file":"pages/claim-3-thm-5-5-three-layer-one-two-step-formulas-critical-o-h/page.md","children":[]}, {"slug":"claim-4-cor-5-6-three-layer-transition-0-alpha-2-3","title":"Claim 4: Three-layer asymmetric-to-balanced transition","file":"pages/claim-4-cor-5-6-three-layer-transition-0-alpha-2-3/page.md","children":[]}, {"slug":"claim-5-prop-5-1-gradient-decomposition-b-suppressed-by-1-sqrt-h-1","title":"Claim 5: Exact gradient decomposition and suppression","file":"pages/claim-5-prop-5-1-gradient-decomposition-b-suppressed-by-1-sqrt-h-1/page.md","children":[]}, {"slug":"conclusion","title":"Conclusion","file":"pages/conclusion/page.md","children":[]} ]}, "agent_view_tokens":3000, "revision":"1784667360000000000" }