Geometric Alignment without Functional Equivalence: A Layer-wise Analysis of the Speech-Text Modality Gap

arXiv:2603.01502 · cs.CL, eess.AS · Submitted 2026-03-02 · Read on arXiv

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Introduction to the show: ident: AI Radio. Generated commentary on the latest Artificial Intelligence papers.

Tom: Today's paper: "Geometric Alignment without Functional Equivalence".

Jane: The gist The modality gap stems from an inherent redundancy in speech, which prevents stable decision-making in end-to-end speech LLMs.

Tom: First, who's behind it and why it matters.

Title and authors: Tom: So we're looking at a paper called "Geometric Alignment without Functional Equivalence: A Layer-wise Analysis of the Speech-Text Modality Gap." The title says it’s about how speech and text representations align geometrically, but that alignment doesn't actually mean they work the same way functionally.

Jane: That sounds complicated, Tom. What does that mean for us? We hear a lot about models getting close in terms of shape, but maybe they aren't capturing the real meaning correctly.

Lu: Basically, this paper is looking at how speech and text representations change layer by layer inside these end-to-end models to find out where the disconnect really happens.

Meng: So it’s not just a simple alignment problem; it’s about the actual dynamics of how these systems process information.

Lalam: I think the core idea is that even when they look similar geometrically, they aren't performing the same job effectively at every stage of processing.

The paper's summary: Tom: The summary points out that their analysis goes beyond just checking if the representations match statically; they look at how speech and text representations evolve layer by layer.

Jane: It seems like they found that speech representations align well in the middle layers, but then they struggle to make the final decision because of some specific issues with how speech data is structured.

Lu: They identify three distinct phases of speech input processing: Structural Transformation, Semantic Smearing, and Decision Instability.

Meng: That sounds like a lot of stages to track in a model. What’s the main takeaway from those phases?

Lalam: The paper argues that the problem isn't just a simple mismatch; it's actually a structural mismatch in how semantic information is organized between text and speech tokens.

Tom: They pinpoint the contrast between dense text tokens and redundant speech frames as the root cause of this gap.

The paper's improvements: Jane: So, what are they suggesting we do to fix this? What are the actual improvements they propose for these models?

Lu: They suggest a few things. First, they point out that simple statistical calibration applied at the input layer can actually hurt performance because it messes up that initial structural transformation.

Tom: And then there’s their proposed solutions based on those findings. They suggest using non-linear projection methods instead of just basic statistical matching at the beginning.

Meng: I'm interested in what they suggest for the later stages, since that’s where they say things break down. What about that decision instability?

Lalam: They look at interventions on a model called Qwen2 point 5-Omni and suggest that adaptive token merging or hierarchical pooling could compress distributed speech content into fewer, more information-dense tokens <ref:2603.01502#pg1>.

Conclusion: Tom: So, to wrap up, the paper "Geometric Alignment without Functional Equivalence: A Layer-wise Analysis of the Speech-Text Modality Gap" shows that we can’t just rely on simple geometric alignment when dealing with speech and text models.

Jane: The main thing is that the redundancy in speech creates a problem called Information Dilution, which spreads the signal too thin to make those final, sharp decisions needed for accurate answers.

Lu: They suggest compressing that distributed content into fewer tokens or using better input projections to preserve the necessary structural transformation in early layers.

Meng: For deployment purposes, reducing redundancy at inference time might be a practical way to mitigate those late-layer issues, even if it’s just a token count reduction.

Lalam: I'm confident this is accurate because they show how that lack of per-token signal leads to the failure mode called Representation Failure.

Tom: It’s clear that understanding the layer-wise dynamics, from structural transformation to decision instability, is key to actually improving speech LLMs for reliable tasks.

Ming-Hao Hsu, Xueyao Zhang, Xiaohai Tian, Jun Zhang, Zhizheng Wu

The Chinese University of Hong Kong, Shenzhen

cs.CL, eess.AS

Submitted: 2026-03-02

Updated: 2026-10-14

Comments: NeurIPS 2026

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Importance score: 83/100

The gist: The gist The modality gap stems from an inherent redundancy in speech, which prevents stable decision-making in end-to-end speech LLMs.

Key concepts

Geometric Alignment
This refers to measuring how closely the mathematical representations of speech and text overlap in a model's internal layers. It provides a measurable form of the modality gap by quantifying the spatial distance between speech and text embeddings, showing where they align geometrically.
Phase II: Semantic Smearing
This phase occurs when speech representations align closely with text in middle layers, but this alignment is distributed across many frames rather than being sharp. This 'smearing' happens because a single piece of meaning is spread across multiple redundant speech frames, leading to distributed cross-layer alignment.
Information Dilution
This mechanism describes the root cause of the gap: the inherent redundancy in speech. Because semantic information is spread across many frames, the signal per token becomes too weak. This dilution prevents a reliable 'last-mile collapse' or final decision in late layers.

Terminology

Summary

The gist The modality gap stems from an inherent redundancy in speech, which prevents stable decision-making in end-to-end speech LLMs.

How it works

  1. The research investigates the dynamic roots of this modality gap beyond static geometric alignment by analyzing how speech and text representations evolve layer-by-layer on Page 1, five or more words copied word for word from that page: In this paper, we investigate the dynamic roots of this modality gap beyond static geometric alignment, analyzing how speech and text representations evolve layer-by-layer.

  2. The authors evaluate four open-weight end-to-end models on SpeechMMLU and VoiceBench BBH on Page 1, five or more words copied word for word from that page: We evaluate four open-weight end-to-end models on SpeechMMLU and VoiceBench BBH.

  3. The analysis identifies three distinct phases of speech input processing in LSLMs on Page 2, five or more words copied word for word from that page: We uncover three distinct phases of speech input processing in LSLMs:

  4. Phase I is Structural Transformation, where speech features initially reside in a manifold distinct from text, necessitating a transformation phase before alignment can occur on Page 5, five or more words copied word for word from that page: "Phase I: Structural Transformation. We investigate whether speech adapter outputs initially reside in a manifold distinct from text embeddings, requiring early Transformer layers to perform a non-linear projection before alignment becomes possible."

  5. Phase II is Semantic Smearing, confirmed by the finding that speech representations align closely with text in mid layers, yet often fail to stably form the correct late-layer decision on Page 6, five or more words copied word for word from that page: "Phase II: Semantic Smearing. We examine if speech’s inherent redundancy, where a single semantic unit spans multiple frames, manifests as distributed cross-layer alignment rather than sharp 1:1 token correspondence with text."

  6. Phase III is Decision Instability, demonstrated by the observation that speech representations fail to stably isolate the correct lexical choice in late layers on Page 7, five or more words copied word for word from that page: Phase III: Decision Instability. Finally, we demonstrate that even after mid-layer alignment, speech representations fail to stably isolate the correct lexical choice in late layers.

  7. The modality gap is attributed to a structural mismatch in semantic information granularity, specifically the contrast between dense text tokens and redundant speech frames on Page 2, five or more words copied word for word from that page: We identify the root cause of the modality gap as a structural mismatch in semantic information granularity, specifically the contrast between dense text tokens and redundant speech frames.

  8. The mechanism is termed Information Dilution, stemming from the inherent redundancy of speech which leaves the per-token signal too weak to drive a reliable last-mile collapse on Page 2, five or more words copied word for word from that page: "We attribute this to a mechanism we term Information Dilution: stemming from the inherent redundancy of speech, semantic units are spread across multiple frames, leaving the per-token signal too weak to drive a reliable last-mile collapse."

  9. The paper shows that simple statistical calibration is insufficient and can be detrimental when applied at the input layer on Page 1, five or more words copied word for word from that page: Crucially, simple statistical calibration is insufficient and can be detrimental when applied at the input layer.

  10. The failure mode in models like Qwen2-Audio is termed Representation Failure, where speech representations never properly align with text geometry at any stage of processing on Page 17, five or more words copied word for word from that page: We term this pattern Representation Failure to distinguish it from the Phase III Decision Instability observed in better-performing models.

How it works

The paper employs a comprehensive anatomy of the mechanism across four open-weight LSLMs on Page 1, five or more words copied word for word from that page: We provide a comprehensive anatomy of this mechanism across four open-weight LSLMs.

The diagnostic framework uses three metrics to quantify cross-modal alignment: Cross-Modal Centered Kernel Alignment (CKA), Layerwise Token Norm, and Standardized Euclidean Distance on Page 3, five or more words copied word for word from that page: To rigorously evaluate the representational convergence between the speech and text modalities within the model, we employ a set of geometric and structural similarity metrics.

The analysis is structured into three phases to map the processing dynamics: Structural Transformation, Semantic Smearing, and Decision Instability on Page 4, five or more words copied word for word from that page: To analyze the modality gap, we structure our analysis into three phases, namely Structural Transformation, Semantic Smearing, and Decision Instability.

How it works

Phase I is characterized by early dark zone in the shallow layers where speech representations are not directly in the same feature geometry as text embeddings on Page 4, five or more words copied word for word from that page: In the early layers, speech representations have low similarity to any text layer, corresponding to the early dark zone shown in Figure 2. This indicates that early Transformer layers must perform a non-linear projection before alignment becomes possible on Page 6, five or more words copied word for word from that page: In the early layers, speech representations have low similarity to any text layer, corresponding to the early dark zone shown in Figure 2.

Phase II is characterized by a broad cross-layer alignment band arising from redundancy where semantic information spreads across multiple frames on Page 7, five or more words copied word for word from that page: "As shown in Figure 5, the layer-wise update vectors exhibit high cosine similarity between speech and text update vectors, indicating that the transformations applied at each layer are synchronized even when the cross-layer geometry exhibits a broad band."

Phase III is characterized by Decision Instability, where representations fail to complete final sharpening because no single token carries enough signal to drive a confident decision on Page 7, five or more words copied word for word from that page: "This is the signature of decision instability. Speech fails to separate the correct answer from strong competitors, because semantic information is spread across many redundant tokens and no single token carries enough signal to drive a confident decision."

How it works

The paper tests causal factors related to redundancy by performing controlled interventions on Page 12, five or more words copied word for word from that page: We perform a controlled intervention on Qwen2.5-Omni in the S2T setting.

One intervention involves injecting artificial redundancy into the T2T input by repeating each word in the question stem 1, 2, 4, or 8 times while keeping the answer options unchanged on Page 7, five or more words copied word for word from that page: Omni. We inject artificial redundancy into the T2T input by repeating each word in the question stem 1, 2, 4, or 8 times while keeping the answer options unchanged.

Another intervention is a KV token merging scheme applied to Qwen2.5-Omni where we compute pairwise cosine similarity among key vectors and merge tokens whose similarity exceeds a threshold of 0.90 on Page 13, five or more words copied word for word from that page: We implement a simple KV token merging scheme on Qwen2.5-Omni in the S2T setting.

How it works

The results of these interventions suggest that adaptive token merging or hierarchical pooling could compress distributed speech content into fewer, information-dense tokens on Page 19, five or more words copied word for word from that page: "This motivates exploring whether reducing redundancy at inference time can partially mitigate the speech modality gap.

Improvements for AI systems

  1. Bold token merging at inference time to compress distributed speech content into fewer, information-dense tokens. This would allow models to make confident decisions as it does with text, mitigating Phase II (Semantic Smearing) and Phase III (Decision Instability) failures by reducing the signal dilution caused by redundant tokens.

  2. Implement a mechanism to selectively retain task-relevant content instead of simply reducing token count, such as learned abstractors or hierarchical pooling. This addresses the finding that speech tokens retain acoustic residue that may interfere with late-layer sharpening, focusing on token quality over quantity.

  3. Develop input layer projection methods that are non-linear rather than relying on simple statistical calibration (like mean and variance matching). This prevents the catastrophic performance collapse observed when forcing statistical alignment at the adapter output, thereby preserving the necessary structural transformation of speech features in early layers.

  4. Integrate attention mechanisms designed to prioritize sharp semantic signals over diffuse ones, addressing the finding that speech attention is systematically more diffuse than text. This would enable the model to achieve late-layer sharpening by ensuring a single token carries enough signal to drive a confident decision, as observed in BBH cases.

  5. Create task-aware decision margins where speech margins are actively trained to remain positive in late layers, mirroring the behavior of text. This directly targets the decision instability by forcing the model to separate the correct answer from strong competitors, addressing why speech margins often stay negative while text margins grow positive in late layers.

Sources

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