Competence-Gated Pooling of Language Models and Priors for Event Forecasting

Aditi Tiwari, Aashrith Bandaru, Heng Ji

University of Illinois Urbana-Champaign

Published September 10, 2026 · on the feed September 14, 2026 · ▲ 2 · arXiv 2609.12101

Tabular & time series No code arXiv ↗Hugging Face ↗

The abstract

In hybrid forecasting, a language model is often one of several available signals. A system may already have a market, crowd, or statistical forecast and must decide whether the model adds useful information or should be ignored. The relevant target is therefore not standalone model accuracy, but relative competence, defined as the model's marginal value beyond the available external forecast. Under Brier loss, we characterize when model disagreement can improve an external forecast and derive the gain from using domain-specific rather than global pooling weights. We then introduce a competence gate that estimates domain-level source weights from resolved outcomes, shrinks uncertain estimates toward a global weight, and recalibrates the pooled forecast. Across 2,357 resolved binary questions and five language models, the gate improves the main external baseline from 0.0771 to 0.0732 Brier and significantly outperforms global forecast combinations. The gain remains significant under leakage controls and against a leakage-safe time-series prior on the pooled structured set, with separate evidence on FRED. In contrast, the gate gives no significant improvement on the official ForecastBench market subset, where it largely defers to the market. Across four Qwen models, verbal confidence does not reliably identify when the model outperforms the external forecast, while outcome-estimated competence supports better abstention decisions. These results provide a practical approach for selective model use based on measured marginal value.

The Brief

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Transcript

Competence-Gated Pooling of Language Models and Priors for Event Forecasting. By Aditi Tiwari and two others, from the University of Illinois Urbana-Champaign. Published on the tenth of September. No code repository is linked to it.

In hybrid forecasting, a language model is often just one signal among several. A system may already hold a forecast from a market, a crowd or a statistical model, and has to decide whether the language model adds useful information or should be ignored. The relevant target is therefore not how accurate the model is on its own. It is relative competence: the model's marginal value beyond the external forecast already on hand. A model can be quite accurate and still add nothing, if it only agrees with the market. It can also be less accurate overall and still help, if its disagreements happen to point the right way.

Under Brier loss, the authors characterize when disagreement from the model can improve an external forecast. They also derive the gain from using pooling weights specific to each domain, rather than one global weight. The intuition is that a model's added value need not be the same everywhere: it may help in one kind of question and only add noise in another. That analysis leads to a competence gate.

The gate estimates source weights at the domain level from outcomes that have already resolved. It shrinks uncertain estimates toward a global weight, so a domain with few resolved questions does not get an extreme weight on thin evidence, and then recalibrates the pooled forecast. How much a domain trusts the model is set by how the model has actually done against the external forecast there, measured on outcomes.

Across two thousand three hundred and fifty-seven resolved binary questions and five language models, the gate improves the main external baseline from zero point zero seven seven one to zero point zero seven three two in Brier score, and significantly outperforms global forecast combinations. The gain stays significant under leakage controls, and against a leakage-safe time-series prior on the pooled structured set, with separate evidence on FRED.

There is a boundary too. On the official ForecastBench market subset, the gate gives no significant improvement, and there it largely defers to the market. Across four Qwen models, verbal confidence does not reliably identify when the model beats the external forecast. Competence estimated from outcomes, on the other hand, supports better decisions about when to abstain.

The upshot is selective use. Rather than asking whether a language model forecasts well, the gate asks whether it forecasts better than what is already available, domain by domain, judged on resolved outcomes, and gives it weight only to that extent.

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Chapter 1 🧩 · The problem

You already have a forecast. The question is whether the model adds anything.

You run a forecasting system that already gets a probability from a prediction market, a crowd or a statistical model. Now a language model offers its own forecast for each question too.

The road ahead

  1. 1 · The problem ~7 min When you already hold a market or crowd forecast, a language model's own accuracy does not tell you whether blending it in will help.
  2. 2 · What came before ~3 min
  3. 3 · The key idea ~9 min Weight the language model by how much it adds beyond the external forecast, measured from resolved questions, separately for each domain, with small domains pulled toward a global weight.
  4. 4 · Choose your own research ~3 min
  5. 5 · Build the method ~8 min Estimate source weights per domain from resolved outcomes, shrink uncertain ones toward a global weight, then recalibrate the pooled forecast.
  6. 6 · The experiment ~6 min You’ll guess: On the official ForecastBench market subset, how did the gate fare compared with the market's own forecast?
  7. 7 · The viva ~5 min Three questions from the examiners, answered in your own words. Win it for the paper’s trophy.
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