AnswerMap: Faithful Spatial Interpretability of VLMs from Answer Posteriors

Mohamed Eltahir, Fardows Adam, Duaa M. Tahir, Lama Alamoudi, Sana Ammar, Atheer A. Alboloshi, Jory Albluey, Tanveer Hussain and 1 others

King Abdullah University of Science and Technology · Edge Hill University

Published September 28, 2026 · on the feed September 29, 2026 · ▲ 2 · arXiv 2609.35247

Vision & multimodalInterpretability & analysis Code arXiv ↗Hugging Face ↗

The abstract

When a VLM answers a visual query, current interpretability tools rely on text rationales, which use a mismatched modality, or on internal read-outs, which originate too early to reflect the final output and require white-box access to the model. We introduce AnswerMap, a training-free, task-agnostic, black-box visual rationale constructed from the output head. The image is cut into K row and K column bands, each shown alone to the frozen model along with the query in the format of a yes/no relevance question. The outer product of the row and column ``yes'' posteriors gives the query-conditioned spatial map. Crucially, by defining a fixed read-out R (e.g., expectation, maximum) on top of AnswerMap, we can derive continuous outputs like location natively. This bypasses the reliance on discrete text tokens for continuous-output tasks and guarantees an image-dependent answer by construction. However, a rationale can be confabulated, so we validate AnswerMap across four models and three query distributions with two tests: (a) agreement with the model's own generated point and (b) deletion of the map's region. The map lands where the model points (AUC 0.85 against 0.38 for attention), and deleting its region flips 53% of correct answers (against 19% for attention's). Beyond establishing faithfulness, we demonstrate the map's task-agnostic utility through three distinct read-outs: its maximum flags hallucinated objects without generation, its expectation localizes correctly when the model's own pointing fails, and its top-mass region, fed back as a crop, fixes half of the model's wrong answers. AnswerMap thus offers a new lens on VLM interpretability and, through its read-outs, a new output interface for visual tasks beyond text tokens.

The Brief

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AnswerMap. Faithful Spatial Interpretability of VLMs from Answer Posteriors. By Mohamed Eltahir and eight others, from King Abdullah University of Science and Technology and Edge Hill University. Published on the twenty-eighth of September. Its code repository is public and real: eighteen source files.

When a vision-language model answers a question about an image, current interpretability tools explain that answer in one of two ways, and both have a drawback. Text rationales use a mismatched modality: words, offered as the explanation for a spatial decision. Internal read-outs come from too early in the computation to reflect the final output, and they also require white-box access to the model, which is not always available.

AnswerMap builds a visual rationale from the output head instead. It needs no training, it is agnostic to the task, and it treats the model as a black box. The image is cut into K bands of rows and K bands of columns. Each band is shown on its own to the frozen model, together with the query, phrased as a yes or no question about relevance. The outer product of the yes posteriors for the rows and the columns gives a spatial map, conditioned on the query. Where both a row and a column say yes, the map lights up.

The map can also produce answers. Define a fixed read-out on top of it, such as the expectation or the maximum, and continuous outputs like a location come out natively. That bypasses the reliance on discrete text tokens for tasks whose outputs are continuous, and it guarantees by construction that the answer depends on the image, since the map is built from nothing but the model's responses to pieces of that image.

A rationale can be confabulated, so the authors validate AnswerMap across four models and three query distributions with two tests. The first asks whether the map agrees with the point the model itself generates. It does, with an AUC of zero point eight five, against zero point three eight for attention.

The second test deletes the map's region from the image. That flips fifty-three percent of correct answers, against nineteen percent when the region picked out by attention is deleted instead. The two tests check faithfulness from opposite ends. One asks whether the map agrees with what the model says. The other asks whether the model actually needs what the map points at. Attention, the point of comparison in both tests, falls well short on each.

Beyond faithfulness, three read-outs show what the map is good for. Its maximum flags hallucinated objects without any generation. Its expectation localizes correctly in cases where the model's own pointing fails. And its region of highest mass, cropped and fed back to the model, fixes half of the model's wrong answers. Each of these uses the same map, read a different way, which is what task-agnostic means in practice here.

AnswerMap is aimed at two readers at once. For interpretability, it is a rationale whose faithfulness is tested rather than assumed, by checking both where it lands and what happens when that region disappears. For anyone building on vision-language models, its read-outs amount to a new output interface for visual tasks, one that does not have to pass through text tokens at all.

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Chapter 1 🧩 · The problem

A model answers about an image. The question is where, in the image, the answer came from.

You are auditing a vision-language model's answers. For each answer you want to know which part of the image it came from, the way a radiologist checks a generated report.

The road ahead

  1. 1 · The problem ~7 min To audit a vision-language model, you need to see which image region an answer came from, and every existing tool falls short of showing that.
  2. 2 · What came before ~3 min
  3. 3 · The key idea ~8 min Ask the frozen model a yes/no question about each image strip alone, multiply row and column answers into a map, and read answers off that map.
  4. 4 · Choose your own research ~3 min
  5. 5 · Build the method ~8 min Four steps: cut bands, ask a yes/no question per band, multiply row and column posteriors into a map, then apply a fixed read-out.
  6. 6 · The experiment ~6 min You’ll guess: Deleting the image region that AnswerMap highlights, what share of a vision-language model's correct answers flipped?
  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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