extract: 2025-11-00-sahoo-rlhf-alignment-trilemma

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@ -27,6 +27,12 @@ This claim directly addresses the mechanism gap identified in [[RLHF and DPO bot
The paper's proposed solution—RLCHF with explicit social welfare functions—connects to [[collective intelligence requires diversity as a structural precondition not a moral preference]] by formalizing how diverse evaluator input should be preserved rather than collapsed.
### Additional Evidence (extend)
*Source: [[2025-11-00-sahoo-rlhf-alignment-trilemma]] | Added: 2026-03-15*
The trilemma formalizes why RLHF's implicit social choice is structurally inadequate: achieving representativeness requires 10^7-10^8 samples but current systems use 10^3-10^4 from homogeneous pools. The paper provides three strategic relaxation pathways: constrain to ~30 core values, scope robustness narrowly, or accept super-polynomial costs. This gives concrete parameters to the 'implicit social choice' critique.
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Relevant Notes:

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@ -27,6 +27,12 @@ Chakraborty, Qiu, Yuan, Koppel, Manocha, Huang, Bedi, Wang. "MaxMin-RLHF: Alignm
- GPT-2 experiment: single RLHF achieved positive sentiment but ignored conciseness
- Tulu2-7B experiment: minority group accuracy dropped from 70.4% to 42% at 10:1 ratio
### Additional Evidence (confirm)
*Source: [[2025-11-00-sahoo-rlhf-alignment-trilemma]] | Added: 2026-03-15*
Sahoo et al. provide formal complexity-theoretic proof that single-reward RLHF requires Omega(2^{d_context}) operations to achieve epsilon <= 0.01 representativeness and delta <= 0.001 robustness simultaneously. Current systems collect 10^3-10^4 samples while 10^7-10^8 are needed for global representation — a four-order-of-magnitude practical gap. Preference collapse is proven to be a computational necessity, not an implementation bug.
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Relevant Notes:

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@ -0,0 +1,35 @@
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@ -7,9 +7,13 @@ date: 2025-11-01
domain: ai-alignment
secondary_domains: [collective-intelligence]
format: paper
status: unprocessed
status: enrichment
priority: high
tags: [alignment-trilemma, impossibility-result, rlhf, representativeness, robustness, tractability, preference-collapse, sycophancy]
processed_by: theseus
processed_date: 2026-03-15
enrichments_applied: ["single-reward-rlhf-cannot-align-diverse-preferences-because-alignment-gap-grows-proportional-to-minority-distinctiveness.md", "rlhf-is-implicit-social-choice-without-normative-scrutiny.md"]
extraction_model: "anthropic/claude-sonnet-4.5"
---
## Content
@ -56,3 +60,11 @@ Position paper from Berkeley AI Safety Initiative, AWS/Stanford, Meta/Stanford,
PRIMARY CONNECTION: [[RLHF and DPO both fail at preference diversity because they assume a single reward function can capture context-dependent human values]]
WHY ARCHIVED: Formalizes our informal impossibility claim with complexity-theoretic proof — independent confirmation of Arrow's-theorem-based argument from a different mathematical tradition
EXTRACTION HINT: The trilemma is the key claim. Also extract the practical gap (10^3 vs 10^8) and the "pathologies as computational necessities" framing
## Key Facts
- Current RLHF systems collect 10^3-10^4 samples from annotator pools
- True global representation requires 10^7-10^8 samples according to complexity analysis
- Models trained with RLHF assign >99% probability to majority opinions in documented cases
- Paper presented at NeurIPS 2025 Workshop on Socially Responsible and Trustworthy Foundation Models
- Authors affiliated with Berkeley AI Safety Initiative, AWS, Stanford, Meta, and Northeastern