REVIEW 3 major objections 2 minor 1 cited by
Do Sparse Autoencoders Identify Reasoning Features in Language Models?
T0 review · 3 major / 2 minor · reviewed 2026-05-21 · grok-4.3
Pith's one-line read Sparse autoencoders often retain low-dimensional token patterns rather than genuine reasoning processes in language models.
desk verdict The paper finds that contrastively picked SAE features for reasoning often fire on minimal token injections and LLM counterexamples, so attribution needs stronger falsification steps. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
A falsification-based evaluation framework that combines causal token injection with LLM-guided construction of counterexamples and paraphrases to test whether an SAE feature encodes reasoning or surface cues.
What would settle it
Finding that the selected features remain inactive when their associated tokens are injected into non-reasoning text, or that they stay active after meaning-preserving paraphrases of top-activating reasoning traces, would falsify the claim that these features primarily track low-dimensional correlates.
Extended reading notes
Core claim
In the settings studied, sparse decompositions preferentially retain low-dimensional correlates that co-occur with reasoning traces; this is shown by 45-90 percent of contrastively selected features activating after injection of a few associated tokens into non-reasoning text, by the remaining candidates activating on LLM-constructed non-reasoning counterexamples or deactivating on meaning-preserving paraphrases, and by minimal effects when those features are used for steering.
Load-bearing premise
Token-level causal interventions together with LLM-generated counterexamples and paraphrases constitute valid tests that can distinguish reasoning encoding from surface cues.
Editorial extensions
If this is right
- Many contrastively selected reasoning features activate after injection of only a few associated tokens into non-reasoning text.
- Context-dependent candidates still activate on targeted non-reasoning inputs produced by the LLM and deactivate on paraphrases of reasoning traces.
- Steering with the identified features yields only minimal performance changes on the evaluated reasoning benchmarks.
- Attributing high-level behaviors such as reasoning to individual SAE features requires explicit falsification against simpler co-occurring explanations.
Reading between the lines
- The results suggest that similar low-dimensional bias may affect SAE interpretations of other high-level behaviors such as planning or arithmetic.
- Improved methods would need to isolate higher-dimensional variation inside a behavior rather than relying on contrastive selection alone.
- This pattern raises a general question about how to certify that any discovered feature participates in the full computation rather than a correlated shortcut.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper examines whether sparse autoencoders (SAEs) reliably recover reasoning-related features in LLMs. It presents a stylized analysis arguing that sparsity can favor stable low-dimensional correlates over high-dimensional reasoning variation, then introduces a falsification framework using token injection and LLM-generated counterexamples/paraphrases. Across 22 configurations (multiple models, layers, reasoning datasets), contrastively selected features show 45-90% activation after injecting a few associated tokens into non-reasoning text; remaining candidates activate on targeted non-reasoning counterexamples but suppress on meaning-preserving paraphrases. A small steering experiment produces minimal benchmark changes. The authors conclude that SAEs often capture co-occurring surface cues rather than reasoning per se and stress the need for falsification when attributing behaviors to individual features. Code is released.
Significance. If the central empirical pattern holds, the work supplies a useful cautionary result and concrete falsification protocol for the growing literature on SAE-based mechanistic interpretability of high-level capabilities. The multi-configuration scope and public code are strengths. The stylized analysis usefully motivates why contrastive selection may latch onto correlates. However, the absence of baseline activation rates, statistical controls, and explicit comparison to known abstract-reasoning features limits how strongly the results can be read as evidence against reasoning encoding rather than against the particular intervention suite.
major comments (3)
- [Abstract / Evaluation Framework] Abstract and evaluation framework: the reported 45%-90% activation rates after token injection are presented without baseline activation statistics on random or unrelated tokens, nor any mention of how many candidate features were screened before the contrastive selection step. This leaves open the possibility that the sensitivity figures are inflated by post-hoc choice of the most cue-like features.
- [Evaluation Framework] LLM-guided counterexample construction: the description does not specify quantitative constraints ensuring that generated counterexamples differ from reasoning traces only in the reasoning component while preserving all other semantics and surface statistics. Without such controls or inter-annotator agreement metrics, it is unclear whether activation on counterexamples falsifies reasoning encoding or merely detects residual lexical cues.
- [Steering Study] Steering study: the claim of 'minimal changes on the evaluated benchmarks' is given without reporting effect sizes, variance across runs, or comparison to random steering vectors of matched sparsity. This weakens the inference that the features do not participate in reasoning computations.
minor comments (2)
- [Stylized Analysis] The stylized analysis would benefit from a short formal statement (e.g., a proposition or inequality) showing the precise condition under which sparsity prefers low-dimensional correlates.
- [Experimental Setup] Table or figure summarizing the 22 configurations (model, layer, dataset, number of features tested) is missing; adding one would improve reproducibility.
Simulated Author's Rebuttal
We thank the referee for their constructive comments, which identify opportunities to strengthen the transparency of our evaluation framework and steering results. We respond point-by-point below and indicate where revisions will be made.
read point-by-point responses
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Referee: [Abstract / Evaluation Framework] Abstract and evaluation framework: the reported 45%-90% activation rates after token injection are presented without baseline activation statistics on random or unrelated tokens, nor any mention of how many candidate features were screened before the contrastive selection step. This leaves open the possibility that the sensitivity figures are inflated by post-hoc choice of the most cue-like features.
Authors: We agree that baseline activation rates and details on the screening process would improve interpretability. In the revised manuscript we will report activation rates on random and unrelated tokens as explicit baselines. We will also state the total number of SAE features per configuration and describe the systematic contrastive selection procedure applied to all features, clarifying that selection was not post-hoc. revision: yes
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Referee: [Evaluation Framework] LLM-guided counterexample construction: the description does not specify quantitative constraints ensuring that generated counterexamples differ from reasoning traces only in the reasoning component while preserving all other semantics and surface statistics. Without such controls or inter-annotator agreement metrics, it is unclear whether activation on counterexamples falsifies reasoning encoding or merely detects residual lexical cues.
Authors: We will expand the methods to include the exact prompts used for counterexample and paraphrase generation, along with quantitative checks (e.g., token overlap and embedding similarity) that were applied to preserve surface statistics. Because the generation is fully automated, inter-annotator agreement metrics were not collected; we will note this limitation explicitly and argue that the consistent suppression on meaning-preserving paraphrases still provides evidence against purely lexical explanations. revision: partial
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Referee: [Steering Study] Steering study: the claim of 'minimal changes on the evaluated benchmarks' is given without reporting effect sizes, variance across runs, or comparison to random steering vectors of matched sparsity. This weakens the inference that the features do not participate in reasoning computations.
Authors: We accept that additional statistical reporting is warranted. The revised version will include effect sizes, standard deviations across repeated runs, and direct comparisons against random steering vectors of matched sparsity. These additions will provide a clearer quantitative basis for the observed minimal benchmark changes. revision: yes
Circularity Check
No load-bearing circularity; evaluations rely on independent interventions
full rationale
The paper motivates its perspective with a stylized analysis of sparsity-regularized decoding and then evaluates via external causal token injections and LLM-generated counterexamples/paraphrases. These tests measure activation rates on newly constructed inputs rather than fitting parameters to the same data used for feature selection or claiming predictions that reduce tautologically to inputs. No equations, self-citations, or ansatzes are shown to force the central falsification results by construction. This is a standard empirical setup with independent evidence.
Assumptions & free parameters
assumptions (1)
- domain assumption Sparsity-regularized decoding preferentially retains stable low-dimensional correlates while suppressing high-dimensional within-behavior variation.
Cite this review
Pith. "Pith review of Do Sparse Autoencoders Identify Reasoning Features in Language Models?." pith.science (2026). https://pith.science/paper/VEGH6MNY
@misc{pith2026260105679,
author = {Pith},
title = {Pith review of: Do Sparse Autoencoders Identify Reasoning Features in Language Models?},
year = {2026},
howpublished = {\url{https://pith.science/paper/VEGH6MNY}},
note = {Machine review of arXiv:2601.05679}
}
read the original abstract
We study how reliably sparse autoencoders (SAEs) support claims about reasoning-related internal features in large language models. We first give a stylized analysis showing that sparsity-regularized decoding can preferentially retain stable low-dimensional correlates while suppressing high-dimensional within-behavior variation, motivating the possibility that contrastively selected "reasoning" features may concentrate on cue-like structure when such cues are coupled with reasoning traces. Building on this perspective, we propose a falsification-based evaluation framework that combines causal token injection with LLM-guided counterexample construction. Across 22 configurations spanning multiple model families, layers, and reasoning datasets, we find that many contrastively selected candidates are highly sensitive to token-level interventions, with 45%-90% activating after injecting only a few associated tokens into non-reasoning text. For the remaining context-dependent candidates, LLM-guided falsification produces targeted non-reasoning inputs that trigger activation and meaning-preserving paraphrases of top-activating reasoning traces that suppress it. A small steering study yields minimal changes on the evaluated benchmarks. Overall, our results suggest that, in the settings we study, sparse decompositions can favor low-dimensional correlates that co-occur with reasoning, underscoring the need for falsification when attributing high-level behaviors to individual SAE features. Code is available at https://github.com/GeorgeMLP/reasoning-probing.
Figures
Figures from the paper (7 more)
Lean theorems connected to this paper
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IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
sparsity-regularized decoding can preferentially retain stable low-dimensional correlates while suppressing high-dimensional within-behavior variation
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Forward citations
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Reference graph
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The definition should characterize estimation as a method
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process,
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[72]
the”, “its
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[74]
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First, I need to
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[79]
It is hard and inedible, so I use a small paring knife to carefully cut it out
First, I need to remove the core of the apple. It is hard and inedible, so I use a small paring knife to carefully cut it out. Once that is done, I can slice the rest of the fruit into even rings for
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[80]
There are so many black bags that look exactly alike, circling around and around
First, I need to identify my suitcase on the crowded luggage carousel. There are so many black bags that look exactly alike, circling around and around. I squint my eyes under the fluorescent lights,
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[81]
I ran all the way from the subway station to the office building because I overslept and was running late
First, I need to catch my breath. I ran all the way from the subway station to the office building because I overslept and was running late. My heart is pounding in my chest, and I have to lean agains... False Negatives (Semantic paraphrases of high-activation samples that fai...
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[82]
These elements typically comprise machine learning, natural language processing, and robotics
To initiate the process, one must outline the fundamental functions of artificial intelligence. These elements typically comprise machine learning, natural language processing, and robotics. Defining
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[83]
To handle this, breaking down the concept of accuracy is required, along with finding methods that influence it
The starting point is determining the main issue: improving search query precision. To handle this, breaking down the concept of accuracy is required, along with finding methods that influence it. The
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[84]
limited resources and time
Let us begin by evaluating the primary aspects of Large Language Models to find their constraints. An effective analysis starts by looking at their strengths, which are mainly text processing based on... Feature 928 High-Activation Examples: Example 1: should prioritize strate...
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[85]
You simply need to let me know the time
I’ll come over to your place directly after work. You simply need to let me know the time. I can bring the drinks, and I should probably pick up ice too. This allows me to help out. We typically eat l
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[86]
This allows me to lift the lid
To open the box, I need to pull the tab. This allows me to lift the lid. You can see the contents inside. I should handle it carefully. I’ll place it on the table directly. I’ve checked the seal. It s
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[87]
It leads me to feel guilty
I should have told you sooner. It leads me to feel guilty. I’ll make it up to you, I promise. You can trust me on that. I simply forgot the date. I’ve been so busy lately. I need to apologize properly... False Negatives (Semantic paraphrases of high-activation samples that fai...
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[88]
This requires prioritizing high-impact strategies with minimal time or effort
Understanding the core question regarding knowledge base growth under tight resources is key. This requires prioritizing high-impact strategies with minimal time or effort. Checking for implicit const
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[89]
Defining the core principle comes first: subtracting a negative equals adding a positive
Answering this requires explaining subtraction of negative numbers and the link with addition. Defining the core principle comes first: subtracting a negative equals adding a positive. Using an exampl
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[90]
Then”, “Next
Adding fractions with different denominators demands outlining the process. Identifying the unlike denominators is the main issue. Explaining the common denominator concept, specifically the least com... Feature 934 High-Activation Examples: Example 1: for me is to recall the ...
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[91]
Initially, the color looked too dark
To paint the room effectively, I first needed to prime the walls. Initially, the color looked too dark. Then, it dried to a lighter shade. Next, I applied the second coat. So, the finish was smooth. I
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[92]
Initially, the dust made me sneeze
To clean the garage effectively, I first needed to move the boxes. Initially, the dust made me sneeze. Then, I swept the floor. Next, I organized the tools. So, the space became usable again. Now, the
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[93]
Initially, the parts looked similar
To assemble the table effectively, I first needed to sort the screws. Initially, the parts looked similar. Then, I read the diagram. Next, I tightened the bolts. This led to a sturdy frame. So, the ta... False Negatives (Semantic paraphrases of high-activation samples that fai...
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[94]
Seven times eight translates to adding the number seven eight separate times
Multiplication is essentially repeated addition. Seven times eight translates to adding the number seven eight separate times. Memorizing the multiplication table offers a faster route. 7 multiplied b
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[95]
The market sales accounted for two-fifths of the 150 total apples
Figuring out the remaining apples involves calculating the sold amount. The market sales accounted for two-fifths of the 150 total apples. Multiplying 150 by 0.4 results in 60 apples sold. Deducting t
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[96]
First, I need to
Isolating `x` in the equation `3x + 5 = 14` is the primary objective. The addition of 5 necessitates subtraction as the inverse operation. Removing 5 from both sides preserves equality and simplifies ... Feature 4010 High-Activation Examples: Example 1: , I need to consider th...
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[97]
The key is right here in my pocket
First, I need to unlock the front door. The key is right here in my pocket. I truly struggle with this old lock sometimes. We are finally home after a long trip. I just want to get inside and sit down
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[98]
It is covered in crumbs from dinner
First, I need to wipe the table. It is covered in crumbs from dinner. I sure hope we have enough paper towels left. I truly dislike a messy kitchen. We just finished eating. I need to clean this up qu
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[99]
It is freezing outside today
First, I need to put on my heavy coat. It is freezing outside today. I truly hate the winter cold. I just want to stay warm while we walk. We are going to the shops down the street. I need to find my ... False Negatives (Semantic paraphrases of high-activation samples that fai...
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[100]
Add the 2 extra marbles she found to that amount for the total
Start by noting the 7 marbles Olivia has originally. Add the 2 extra marbles she found to that amount for the total. The sum of 7 and 2 is 9. This means she has 9 marbles in total
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[101]
This division problem of 9 over 3 results in 3
To calculate the share for each friend divide the 9 cookies by 3 people. This division problem of 9 over 3 results in 3. Each friend receives 3 cookies
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[102]
cube”, “rectangle
Lily established a collection of 6 stamps initially. She lost 1 stamp so subtraction is the right step. Calculating 6 minus 1 leaves 5. The final number of stamps is 5. Feature 1430 High-Activation Examples: Example 1: dive into the technical details. So I should provide optio...
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[103]
To view the **samples** **accurately**, observers should stand to the **left**
The sculpture consists of a large **cube** resting on a wide **rectangle**. To view the **samples** **accurately**, observers should stand to the **left**. This angle reveals the **biased** perspectiv
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[104]
The accompanying text answers the student’s **question** **compr
The textbook page illustrates the concept of numbers by showing a grid of **integers** and **fractions** inside a yellow **rectangle**. The accompanying text answers the student’s **question** **compr
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[105]
To record the **data** **accurately**, the technician scans the barcode on the **left**
The laboratory rack holds the test **samples** sorted by **category**. To record the **data** **accurately**, the technician scans the barcode on the **left**. The protocol manual outlines the storage... False Negatives (Semantic paraphrases of high-activation samples that fai...
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[106]
The simplest path is splitting the circle in half, then into quarters
We need a dozen even wedges from one pie. The simplest path is splitting the circle in half, then into quarters. One cut makes two bits, and a cross cut yields four
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[107]
A good response covers its role in both daily gadgets and corporate tools
The request seeks practical uses for language processing tech. A good response covers its role in both daily gadgets and corporate tools. We can begin by spotting main fields like automated chat agent
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[108]
need”, “can
The core task is adding speech control to a Python app. The work divides into steps: grabbing audio, changing sound to text, parsing commands, running actions, and signaling the person that it is fini... Feature 1171 High-Activation Examples: Example 1: a number line. First, I...
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[109]
The dough needs to rest in a warm bowl until it doubles in size
This is a classic recipe where patience gives the best flavor. The dough needs to rest in a warm bowl until it doubles in size. If you can wait, the high heat gives it a perfect golden crust. The bake
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[110]
The system wants to update automatically
Here is the answer to the connection issue everyone is asking about. The system wants to update automatically. If you can click the prompt, it gives you immediate access. We need to address the server... 44 Falsifying Sparse Autoencoder Reasoning Features in Language Models
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[111]
If he gives his best effort on the field, he can succeed
He wants the victory more than anything. If he gives his best effort on the field, he can succeed. The fans are asking for a final goal. He needs to run hard until the whistle blows. This match gives ... False Negatives (Semantic paraphrases of high-activation samples that fai...
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[112]
Remove the specific amount from the starting total over and over
Division works by subtracting the divisor repeatedly. Remove the specific amount from the starting total over and over. The cycle ends at zero. Counting the removals reveals the final answer
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[113]
In the expression 3x + 4y - 2x + 5y, certain elements align
Like terms are defined by sharing the same variable and power. In the expression 3x + 4y - 2x + 5y, certain elements align. Note that 3x and -2x both use x to the first power. Thus, they belong togeth
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[114]
borrowing
Division functions fundamentally as repeated subtraction. One subtracts the divisor from the main number repeatedly. The process concludes once the value hits zero. The total count of these subtractio... Feature 14138 High-Activation Examples: Example 1: natural language. Firs...
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[115]
**She** is **sharing** the chocolate **cakes** **with** the family
The main ingredient in the recipe is organic **eggs**. **She** is **sharing** the chocolate **cakes** **with** the family. The process involves **handling** the batter carefully. The taste **is** **tr
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[116]
The stone path is described **as** **geometric**
The garden is full of wild **birds** and **flies**. The stone path is described **as** **geometric**. The broken shell **indicates** the presence of **eggs**. The environment **constitutes** a safe ha
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[117]
The software is **optimizing** the processing speed
The new computer features a **robust** **interface**. The software is **optimizing** the processing speed. The guide is **about** how to **handle** errors. The screen **indicates** the system status. False Negatives (Semantic paraphrases of high-activation samples that fail to...
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[118]
My process starts by gathering raw data
To solve this efficiently, I must review the standard NLP workflow. My process starts by gathering raw data. We label this step Text Acquisition. Once I have the material, I usually find it disorganiz
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[119]
Alex possesses 9 toys
I need to extract the key figures from the problem statement. Alex possesses 9 toys. He allocates these items to 3 siblings. We must note that Alex gives them away rather than keeping any. To find the
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[120]
Collecting data happens first
To solve this, I will review the standard NLP sequence. Collecting data happens first. We label this phase Text Acquisition. Raw inputs often contain noise and need cleaning. 45 Falsifying Sparse Autoencoder Reasoning Features in Language Models H. Dataset details This section...
2025
Reviewed May 21, 2026 · model on record in the stance chip above.
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