arXiv Machine Learning By Jie Wang

Coupled Scaling: A Representational Accessibility Framework for Neural Scaling Laws

Read the original on arXiv Machine Learning →

The paper introduces Coupled Scaling, a framework that links neural scaling laws to the relationship between task structure and the geometry that an architecture‑optimization system can access. It shows that finite‑budget scaling depends on how well the system’s representational support aligns with the task’s energy distribution, deriving residual exponents that vary with architectural coverage and tail decay. The authors propose tests to verify whether static task‑relevant geometry tracks loss and whether multiscale geometry follows coupling‑specific exponent ordering, suggesting a factorial audit of emergence trajectories to isolate geometry from scaling fits.

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at arXiv Machine Learning.

arXiv Machine Learning
Sep 23

Practical Scaling Laws: Converting Compute into Performance in a Data-Constrained World

The paper introduces a new closed‑form scaling law that extends Chinchilla’s original formula to handle data‑constrained regimes. It decomposes loss into undercapacity, undertraining, and overfitting components, saturating between an irreducible loss and an uninformed baseline. The authors validate the model on diverse architectures and domains, achieving state‑of‑the‑art RMSE across multiple LLM scaling‑law grids and enabling cost‑aware training allocations.

By Christopher M. Bryant, Hao Liu
arXiv AI
Jul 21

First-Order Predictable but Pairwise Fragile: Local Task Adaptation in Trained Transformers

arXiv:2607. 16821v1 Announce Type: cross Abstract: Task arithmetic, sequential fine-tuning, activation steering, and first-order random search all operate through relatively small perturbations around an already trained checkpoint, and they rely on different local approximations: individual perturbations should be first-order predictable, task updates should compose with controlled interference, useful tangent structure should be stable and possible to estimate, and weight edits should have counterparts in representation space.

By Irina Piontkovskaia, Sergey Nikolenko
arXiv Machine Learning
Aug 12

Power law graph attention: exact generalization of scaled dot-product attention, empirical collapse at inference

arXiv:2608. 10288v1 Announce Type: new Abstract: The Large Language Model from Power Law Decoder Representations (PLDR-LLM) and its attention, Power Law Graph Attention (PLGA), replace the fixed bilinear form of scaled dot-product attention (SDPA) with a learned, input-generated bilinear operator $G_{LM}$, built from a positive tensor $A_{LM}$ by elementwise power laws.

By Burc Gokden