An automated system extracts data from vector figures with bit-exact recovery for matplotlib markers, maps precision across renderers and formats, and provides injective verification via re-rendering certificates.
Canonical reference
Chinchilla scaling: A replication attempt.arXiv preprint arXiv:2404.10102, 2024
Canonical reference. 86% of citing Pith papers cite this work as background.
citation-role summary
citation-polarity summary
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background 6representative citing papers
The authors derive a Maximally Scale-Stable Parameterization (MSSP) for MoE models that achieves robust learning-rate transfer and monotonic performance gains with scale across co-scaling regimes of width, experts, and sparsity.
A fitted iso-depth scaling law measures that one recurrence in looped transformers is worth r^0.46 unique blocks in validation loss.
Repetition of training data produces a systematic eval loss peak at intermediate repeat counts whose location scales with model size, quantifiable as large compute-equivalent loss even at modest repetition fractions.
DECO is a sparse MoE architecture with ReLU-based routing, learnable expert scaling, and NormSiLU activation that matches dense Transformer performance at 20% expert activation and delivers 2.93x speedup on Jetson AGX Orin.
A new scaling law L(N, D, T) = E + (L0 - E) h/(1+h) with h = a/N^α + b/T^β + c N^γ/D^δ that decomposes loss into undercapacity, undertraining, and overfitting terms and saturates between E and L0.
A noisy quadratic system predicts large model test losses from N, B, K and outperforms Chinchilla's model for extrapolation up to 1000x compute.
Strong superposition causes neural loss to scale as the inverse of model dimension due to geometric feature overlaps, explaining scaling laws for broad frequency distributions.
Opt-Laws predicts LLM final training loss from LR schedules via SDE-derived convergence and escape features, with 94% Top-2 hit rate on held-out schedules and F1=0.92 for divergence detection.
Proposes a three-term scaling law for model size, training steps and batch size that recovers optimal batch size scaling and can be fitted using fewer runs by incorporating suboptimal batch sizes.
Dynamic model of data-driven automation with heterogeneous accumulating data and spillovers derives conditions for partial versus full automation, shows asymptotic power-law decay in labor share, generic inefficiency, and with endogenous capital, explosive growth but stagnant long-run wages.
Small transformers on HMM prediction tasks exhibit correlated scaling between performance and linear encoding of belief distributions in residual activations.
Develops an economic model combining scaling laws with microeconomics to derive profit-optimal LLM training expenditure and model size in compute-bound and data-bound regimes.
Position paper claims fixed exponents in scaling laws arise from generic mechanisms while coefficients vary with data and architecture, making the latter the focus for improvements.
Formalizes emergent intelligence in foundation models as the limit of E(N,P,K) as N,P,K approach infinity, proves existence conditions via nonlinear Lipschitz operators, and derives scaling laws from covering numbers.
citing papers explorer
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Automated High-Precision Extraction and Forensic Verification of Data-Bearing Vector Figures
An automated system extracts data from vector figures with bit-exact recovery for matplotlib markers, maps precision across renderers and formats, and provides injective verification via re-rendering certificates.
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How to Scale Mixture-of-Experts: From muP to the Maximally Scale-Stable Parameterization
The authors derive a Maximally Scale-Stable Parameterization (MSSP) for MoE models that achieves robust learning-rate transfer and monotonic performance gains with scale across co-scaling regimes of width, experts, and sparsity.
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How Much Is One Recurrence Worth? Iso-Depth Scaling Laws for Looped Language Models
A fitted iso-depth scaling law measures that one recurrence in looped transformers is worth r^0.46 unique blocks in validation loss.
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Internal Data Repetition Destroys Language Models
Repetition of training data produces a systematic eval loss peak at intermediate repeat counts whose location scales with model size, quantifiable as large compute-equivalent loss even at modest repetition fractions.
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DECO: Sparse Mixture-of-Experts with Dense-Comparable Performance on End-Side Devices
DECO is a sparse MoE architecture with ReLU-based routing, learnable expert scaling, and NormSiLU activation that matches dense Transformer performance at 20% expert activation and delivers 2.93x speedup on Jetson AGX Orin.
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Practical Scaling Laws: Converting Compute into Performance in a Data-Constrained World
A new scaling law L(N, D, T) = E + (L0 - E) h/(1+h) with h = a/N^α + b/T^β + c N^γ/D^δ that decomposes loss into undercapacity, undertraining, and overfitting terms and saturates between E and L0.
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Predicting Large Model Test Losses with a Noisy Quadratic System
A noisy quadratic system predicts large model test losses from N, B, K and outperforms Chinchilla's model for extrapolation up to 1000x compute.
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Superposition Yields Robust Neural Scaling
Strong superposition causes neural loss to scale as the inverse of model dimension due to geometric feature overlaps, explaining scaling laws for broad frequency distributions.
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Optimization Hyper-parameter Laws for Large Language Models
Opt-Laws predicts LLM final training loss from LR schedules via SDE-derived convergence and escape features, with 94% Top-2 hit rate on held-out schedules and F1=0.92 for divergence detection.
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How to Allocate Your Tokens? Scaling Laws with Training Steps and Batch Size
Proposes a three-term scaling law for model size, training steps and batch size that recovers optimal batch size scaling and can be fitted using fewer runs by incorporating suboptimal batch sizes.
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Data-Driven Automation
Dynamic model of data-driven automation with heterogeneous accumulating data and spillovers derives conditions for partial versus full automation, shows asymptotic power-law decay in labor share, generic inefficiency, and with endogenous capital, explosive growth but stagnant long-run wages.
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Structure and Scale in Simplicial Sequence Modelling
Small transformers on HMM prediction tasks exhibit correlated scaling between performance and linear encoding of belief distributions in residual activations.
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A Theory of Training Profit-Optimal LLMs
Develops an economic model combining scaling laws with microeconomics to derive profit-optimal LLM training expenditure and model size in compute-bound and data-bound regimes.
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Neural Scaling Universality: If Exponents Are Fixed, Time to Understand Coefficients
Position paper claims fixed exponents in scaling laws arise from generic mechanisms while coefficients vary with data and architecture, making the latter the focus for improvements.
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A Limit Theory of Foundation Models: A Mathematical Approach to Understanding Emergent Intelligence and Scaling Laws
Formalizes emergent intelligence in foundation models as the limit of E(N,P,K) as N,P,K approach infinity, proves existence conditions via nonlinear Lipschitz operators, and derives scaling laws from covering numbers.
- Scaling Laws for Dynamic Mini-Batch SGD in Sketched Linear Regression