NTH

The State-Prediction Separation Hypothesis

AuthorsGiovanni Monea, Nathan Godey, Kianté Brantley, Yoav Artzi

July 3, 2026 2 min read
Watch on YouTube
The one-line take

This paper argues that transformers should split remembering from predicting, and that doing so can make language models train more efficiently and work better downstream.

Key results

1.678B
parameter scale range

largest SPS model size reported across the five scales

53M
parameter scale range

smallest SPS model size reported across the five scales

3.107
FineWeb-Edu NLL XS standard

standard Transformer validation NLL at XS

3.065
FineWeb-Edu NLL XS SPS

SPS validation NLL at XS

2.458
FineWeb-Edu NLL XL standard

standard Transformer validation NLL at XL

2.390
FineWeb-Edu NLL XL SPS

SPS validation NLL at XL

What the paper found

The State-Prediction Separation Hypothesis argues that a Transformer’s hidden state is overloaded: it must both predict the next token and store reusable state for later tokens. To test this, the authors at Cornell and Harvard introduce the State-Prediction Separation Transformer, which interleaves each input token with a dedicated <predict> slot so prediction gradients and state-preparation gradients flow through different streams. Across five model scales from 53M to 1.678B parameters, trained on FineWeb-Edu, SPS consistently beats a standard Transformer and two controls, 2X Memory and Delayed State. On FineWeb-Edu validation NLL, SPS improves from 3.107 to 3.065 at XS, from 2.858 to 2.810 at S, and from 2.458 to 2.390 at XL, while generalization also improves: corpus NLL drops by 0.09–0.15 and average zero-shot accuracy rises by 2.3–3.1 percentage points over ARC-Easy, HellaSwag, PIQA, SciQ, and LAMBADA. The key result is efficiency: SPS reaches Standard quality with roughly half the training data, matching Standard’s persistent KV-cache footprint and staying within about 6–10% of its throughput, with peak memory held at 1.01× Standard. The analysis shows the gain is structural, not just extra compute or memory, because SPS routes more future-loss gradient to the input stream and makes the persistent state 1.4–2.2× more important at inference than Delayed State.

Original abstract

Transformers use the same forward computation stream to both predict the next token and store useful state for future token predictions. We formulate the \emph{state-prediction separation hypothesis}: disentangling the two roles yields better language modeling performance. We design a Transformer variant that uses two computation streams to separate the two functions, and conduct pretraining experiments across various scales. Our experiments show that state-prediction separation consistently offers better data and compute efficiencies, improving validation loss and outperforming standard Transformers by 2--3 percentage points on average on downstream tasks. We also conduct extensive empirical analysis that rules out potential confounders and demonstrates the fundamental difference in the gradients our design entails.

Read the original paper

More in Foundation Models

Browse all 47 papers →
01Foundation Model

How Much Is an AI Token Worth? Scaling Laws for Wild AI-Generated Web Text

Jenna Russell, Ben Glickenhaus, Katherine Thai, John Wieting, Mohit Iyyer, Max Spero, Bradley Emi

AI-generated web text can help language models at first, but beyond a tipping point it degrades performance on human writing, making data filtering and separate evaluation increasingly important.

Read analysis
02Foundation Model

TabFM: A Zero-Shot Foundation Model for Tabular Data

Weihao Kong, Erez Louidor Ilan, Shuxin Nie, Taman Narayan, Rajat Sen, Yichen Zhou, Deqing Fu, Samet Oymak, Abhimanyu Das

TabFM is a large synthetic-data-trained model that aims to make accurate tabular predictions instantly, without retraining for each new dataset.

Read analysis
03Foundation Model

When Do Biological Reasoning Models Use Their Biological Inputs?

Ada Fang, Nikitha Thoduguli, Lukas Fesser, Hanlin Zhang, Sham M. Kakade, Marinka Zitnik

The study finds that many biological reasoning systems appear to succeed without meaningfully using the biological inputs they were designed to reason over.

Read analysis