license: gpl-2.0
language:
- en
tags:
- scaling_laws
- pre_training
- llms
- language_modeling
- llama
paper: >-
Tokens-per-Parameter Coverage Is Critical for Robust LLM Scaling Law
Extrapolation
venue: NeurIPS 2026
configs:
- config_name: default
data_files:
- split: train
path: '**/*.json'
dataset_info:
features:
- name: checkpoint_prefix
dtype: string
- name: timestamp
dtype: string
- name: status
dtype: string
- name: model_size
dtype: int64
- name: d_model
dtype: int64
- name: n_layers
dtype: int64
- name: n_heads
dtype: int64
- name: d_ff
dtype: int64
- name: vocab_size
dtype: int64
- name: max_seq_len
dtype: int64
- name: learning_rate
dtype: float64
- name: epochs
dtype: int64
- name: batch_size
dtype: int64
- name: weight_decay
dtype: float64
- name: seed
dtype: int64
- name: deterministic
dtype: bool
- name: cudnn_deterministic
dtype: bool
- name: cudnn_benchmark
dtype: bool
- name: total_tokens
dtype: int64
- name: total_steps
dtype: int64
- name: cumulative_time_seconds
dtype: float64
- name: val_epochs_count
dtype: int64
- name: mean_val_loss
dtype: float64
- name: best_val_loss
dtype: float64
- name: final_train_loss
dtype: float64
- name: std_train_loss
dtype: float64
- name: mean_train_loss
dtype: float64
- name: global_batch_tokens
dtype: int64
- name: final_val_loss
dtype: float64
Collinear/Non-Collinear Scaling Models
Checkpoint repository for scaling law experiments comparing collinear (CO) and non-collinear (NC) experimental designs for the paper Tokens-per-Parameter Coverage Is Critical for Robust LLM Scaling Law Extrapolation under review for NeurIPS 2026.
Code
Anonymized code repository (reproduces all tables): anonymous.4open.science
Directory Structure
{dataset}/{design}/N_{param_count}/
- Dataset:
wikipedia,pes2o,cosmopedia,redpajama,c4(plus_bf16and_bigtppvariants) - Design:
colinearornon_colinear - N: Model parameter count (one of 14 canonical sizes from ~5M to ~76.5M)
Experimental Designs
Collinear (CO): Models are trained along a line in (N, D) space where D = TPP × N for varying TPP (tokens per parameter) values. A single model size N is swept across many TPP values.
Non-collinear (NC): Models are trained on a grid over (N, D) space (NxD_GRID), varying both N and D independently.
Holdout Sets
Some checkpoints include HOLDOUT in the filename. These were held out from scaling law fitting and are used to evaluate extrapolation / interpolation accuracy of fitted scaling laws. Both CO and NC designs have holdout checkpoints:
COLINEAR_HOLDOUT_*→ collinear holdout (held-out TPP values)*_HOLDOUT_*(withoutCOLINEAR) → non-collinear holdout (held-out (N, D) pairs)
Filename Convention
{PREFIX}{DESIGN}N{approx_size}[TPP{val}]D{tokens}_{dataset}_m{exact_N}_token{exact_D}lr{lr}..._completedAt{timestamp}.pt
The m{N} and token{D} fields contain the exact parameter count and token count used for training.
Full results pre-extracted are available in this repository aswell, under: extracted_losses/ , full_coverage_results/, prelim_bigtpp_results/, seed_variance_results/, special_results/ and subset_bbox_seeds/ .
License: GPL v2.0