Why Open AI is not Enough
Scaling Law#
Scaling Laws for LLMs describe the power-law relationships between model performance and key scaling factors;We are approaching a critical inflection point where traditional scaling laws are showing signs of stagnation, primarily due to data limitations;We'll exhaust high-quality human-generated text data between 2025-2030, with median estimates pointing to 2028 if current scaling trends continue. The total effective stock is approximately 4×10¹⁴ tokensOpenAI's internal struggles with "Orion" (originally intended as GPT-5) exemplify this: the performance gains over GPT-4 were significantly smaller than the GPT-3→GPT-4 jump, with some tasks showing no reliable improvement.Reference:#
Impact:#
Public vs. Private Data AsymmetryPublic data: ~300T tokens of general knowledge
Private business data: Exponentially larger but inaccessible by the model trainers;
Current scaling laws require ~20 tokens per model parameter for optimal trainingRequired Model Size for Business Reasoning: ~10^15 parameters
Required Training Data: 20 × 10^15 = 2×10^16 tokens
Available High-Quality Data: ~3×10^14 tokens
Data Gap: 67x more data needed than exists
Why can fine-tuning/distillation not solve the problem?#
Information-Theoretic Quality Requirements: Fine-tuning requires exponentially higher data quality than pretraining due to the signal extraction problem
Margin-Based Learning Mathematics: Fine-tuning operates in the low-margin regime where small errors have large impacts
High plasticity: Model can learn new patterns but forgets old ones;
High stability: Model retains old knowledge but can't adapt to new patterns;
In summary, the general capabilities of the pre-trained LLMs is necessary to drive the outcomes in the right direction, while grounding it to the business requirements and rules is also a challenge, solve one does not directly solve the other;Additionally, cost implications, the amount of technical competency required, etc. are additional factors to consider other than the technical implication;Why does the above problem exist mathematically and in simple language?#
The "Memory Interference" ProblemThink of Your Brain Learning a New LanguageImagine your brain has 100 "memory slots" and you've used 90 of them to learn English. Now you want to learn Chinese:1.
Total brain capacity: 100 slots
2.
Used for English: 90 slots
3.
Available for Chinese: 10 slots
Problem: Chinese needs 50 slots to be usefulAvailable capacity: Only 10 slotsResult: Either bad Chinese OR forget EnglishIn neural networks, this is exactly what happens:1.
Model has billions of parameters (like memory slots)
2.
Most are used for general knowledge (like English)
3.
Business knowledge needs many parameters (like Chinese)
4.
Mathematical constraint: You can't exceed total capacity
The "Tug of War" MathematicsWhen fine-tuning tries to learn business knowledge:1.
simpleGeneral knowledge wants: Parameter = Value A
2.
Business knowledge wants: Parameter = Value B
1.
Step 1: Move toward A (general knowledge improves, business degrades)
2.
Step 2: Move toward B (business improves, general knowledge degrades)
3.
Result: Model "bounces" between A and B, never settling
Mathematical reality: A ≠ B, so no single value satisfies bothModified at 2025-08-09 11:58:10