Perspectives on Interpretability in Sciences and ML
A reading club systematically exploring the similarities and differences between neuroscience and machine learning interpretability.
Humans have a remarkable ability to learn novel tasks, often by decomposing them into previously seen components. Gymnasts, for example, learn myriad routines, each composed of unique sequences of individual skills such as handsprings and cat leaps. Yet it remains unclear how the brain achieves this compositionality. A natural way to frame the problem is as dictionary learning: learning builds a set of reusable motor skills, and behavior is produced through their composition. If such skills exist, how are they represented in the neural population, and what makes that representation suitable for flexible composition? To address these questions, Elom and colleagues trained monkeys on a one-dimensional force-tracking task that demands multiple strategies, recording from ~1000 neurons in primary motor cortex with Neuropixels. They found that motor cortex activity was high-dimensional and organized by abstract motor skills — sparsely active, and corresponding to distinct locations and subspaces of neural activity — yet those skills recombined compositionally, both sequentially and simultaneously, across conditions to produce more complex behavior. The results suggest that dictionary elements are held in separable, sparsely recruited subspaces of motor cortex activity.
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Anja uses mechanistic interpretability as a tool to study information retrieval models, with the goal of improving them. Anja presented an analysis of a language model–based retrieval approach called Generative Retrieval, in which the model generates document identifiers instead of relying on an external document index. She demonstrated how these models perform retrieval, the extent to which they pre-plan when generating a sequence of tokens, and the roles MLPs and self-attention play in knowledge lookup. Finally, she showcased how these insights can be applied to model editing of generative retrieval models, making them more applicable to real-world use cases.
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A record of all previous PRISM sessions
Our current semester asks how interpretability is useful — explaining the computations behind specific capabilities, the dynamics of models and brains, and applications across scientific domains.
Anja uses mechanistic interpretability as a tool to study information retrieval models, with the goal of improving them. Anja presented an analysis of a language model–based retrieval approach called Generative Retrieval, in which the model generates document identifiers instead of relying on an external document index. She demonstrated how these models perform retrieval, the extent to which they pre-plan when generating a sequence of tokens, and the roles MLPs and self-attention play in knowledge lookup. Finally, she showcased how these insights can be applied to model editing of generative retrieval models, making them more applicable to real-world use cases.
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Out of everything the human brain processes, only a small fraction is consciously accessible — available for verbal report, deliberate control, and flexible reasoning. Gurnee et al. present evidence that an analogous distinction has emerged in large language models, introducing the Jacobian lens, an interpretability technique that identifies the representations a model is poised to verbalize at any point in its processing. These representations — collectively the J-space — can be reported, deliberately summoned and held, used to carry the intermediate steps of silent reasoning, and passed as arguments to arbitrary downstream computations, while automatic processing such as text parsing proceeds without them; they also show the structural signatures global workspace theory associates with conscious access, carrying coherent content only in an intermediate band of layers, holding on the order of tens of concepts at a time, and being broadcast more widely than other representations. In alignment audits this makes the J-space a practical window into a model's unspoken thinking, revealing strategic deliberation, evaluation awareness, and trained-in misaligned dispositions that never appear in the model's outputs.
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Feature learning allows an overparameterized neural network to adapt its representation to the structure of the task, effectively reducing the number of parameters that need to be learned. Emanuele discussed that mechanism in a simple two-layer quadratic neural network, where the learned representations can be characterized exactly. The model displays a rich learning phenomenology, and the emergence of task-relevant features can be tracked directly in the spectrum of the learned weights, where informative directions separate from a noisy background — a concrete way to connect the structure of the learned representation to generalization. The interplay between informative spectral features and the noise bulk produces distinct learning regimes and allows analytical generalization scaling laws to be derived. In the high-dimensional limit the problem becomes simple enough to solve while retaining this phenomenology, making it possible to study in detail how increasing the width changes the learned representation and the resulting generalization behavior.
Protein language models (pLMs) such as the ESM family have been instrumental in developing new methods to study proteins and predict their properties, yet interpreting their operations remains a consistent challenge. Interpretability of pLMs would open the door to a new language for describing protein structure and function, a new lens into protein evolution, and mechanistic insights that could pave the way to new drugs for protein-associated diseases. Shivam surveyed the state of pLM interpretability through techniques such as sparse autoencoders and cross-layer transcoders, then turned to open problems current methods have not solved — in particular interpreting mutations and genetic interactions (epistasis) within proteins — along with hypothesized approaches for addressing them. The discussion also extended to interpretability of diffusion models of protein structure, given their increasing use for tasks such as structure prediction via AlphaFold3.
17 sessions — 8 guest talks, 7 paper presentations and discussions, and 2 panel discussions — taking a synthesis-oriented view of interpretability across the goals, terminology, methods, and applications of both fields.
Chains of thought (CoTs) have become central in interpreting and auditing behaviors of large language models. Yet growing evidence suggests that these traces often fail to faithfully represent the computations behind a model's predictions. Several faithfulness metrics have been proposed, but whether they indeed measure faithfulness remains unknown. Answering this requires ground-truth labels, which are hard to obtain since internal computations are not directly observable. Yoav discussed efforts to address these problems by defining faithfulness in a more tractable way and establishing ground truth in multiple settings, enabling evaluation of faithfulness metrics and monitors.
When a multimodal model performs a complex behavior, is the key computation happening in the vision or the language component? Modern multimodal models combine vision and language through increasingly unified architectures, yet it remains unclear what parts of their underlying computations are carried out by each modality. Tamar will present three studies that collectively ask: which components contribute to different aspects of multimodal computation? Across vision-language reasoning in VLMs, text-to-image generation, and in-context image editing in diffusion models, she shows that key multimodal behaviors often emerge from components not traditionally associated with them, and that identifying these mechanisms can, in some cases, enable targeted improvements of model performance.
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Mechanistic interpretability seeks to explain the internal computations of neural networks through faithful, human-understandable models, yet it has lacked a unified theoretical foundation. This presentation discusses a recent paper proposing causal abstraction as that foundation. Geiger et al. generalize causal abstraction beyond intervention-based accounts to arbitrary transformations of internal mechanisms, providing a broader framework for relating low-level neural computations to higher-level explanatory models. They also offer formal definitions of central concepts in mechanistic interpretability — including polysemantic neurons, modular features, the linear representation hypothesis, and graded faithfulness — and demonstrate how a wide range of interpretability methods, from activation patching and causal tracing to sparse autoencoders and circuit analysis, can be understood within a common causal framework.
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Researchers trained an AI model (Pleiades) to detect Alzheimer's disease from blood samples, then used interpretability techniques to understand what drove its decisions. They found DNA fragment length patterns dominate its decision-making. Distilling these insights into a simpler fragmentomics-based classifier (cell-free DNA fragmentation patterns) yielded better generalization to independent test cohorts than prior biomarker approaches — achieving AUROC 0.78 standalone, 0.84 combined with methylation features.
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Tomer uses interpretability to uncover the internal mechanisms of LLMs — specifically how knowledge is acquired, represented, and edited. His talk covers two angles: (1) unlearning in LLMs via REVS (ACL Findings 2025), which locates neurons storing memorized sensitive information and surgically removes it, and CRISP (ACL 2026), which performs concept unlearning via Sparse Autoencoders; and (2) Privileged Knowledge in LMs (ACL 2026), asking whether models carry an internal signal about their own correctness that no external observer can retrieve.
Michael's research focuses on mechanistic interpretability of multi-modal models. He presented Diffusion Lens (ACL 2024), Padding Tone (NAACL 2025), and Follow the Flow (ACL 2026) — methods that reveal what text-to-image models learn and how computations are performed internally, with applications to solving problems like semantic leakage.
We will start with evaluating what happens in LLM decision-making in realistic, human-validated managerial scenarios via ManagerBench, indicating that frontier LLMs perform poorly when navigating the safety-pragmatism trade-off. We next turn to a multi-turn setting to investigate the "carryover-effect" — the phenomenon in which, for example, hallucinations in earlier interactions shape subsequent model responses. To study this, we developed HISTORY-ECHOES, a framework for analyzing how conversational history biases later generations. The framework approaches this from two angles: a probabilistic view, modeling conversations as Markov chains to quantify state consistency, and a geometric view, measuring the consistency of consecutive hidden representations — indicating a correlation between the two angles.
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Interpretability promises a lever to control models, monitor their behavior, and learn from them. As such, we often imagine finding features in models such as "honesty," "conciseness," or "speaking in French." However, state-of-the-art methods find features that are local, syntactic, and uninteresting (e.g., "the phrase 'The' at the start of a sentence"), a critical gap between the proposed utility of interpretability and reality. More precisely, while we care about semantic features in models, we instead recover syntactic ones. Drawing on theory from computational linguistics, we propose a simple model of language production: semantic features are globally smooth across time, whereas syntactic features are local. We use this model to propose Temporal Sparse Autoencoders (T-SAEs), which employ a temporal contrastive loss to isolate smooth features in LLM representations. Importantly, T-SAEs recover semantic information despite being trained with only a self-supervised context-similarity objective, and successfully disentangle semantic and syntactic features. We present experiments demonstrating T-SAEs' ability to track semantic shifts over text sequences and applications to safety monitoring and steering. Finally, I will discuss ongoing extensions to vision models and alternative invariances suited for visual semantics, including opportunities to understand visual processing and predict neural activity.
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The architecture of early olfactory processing is a striking example of convergent evolution. Typically, a panel of broadly tuned receptors is selectively expressed in sensory neurons (each neuron expressing only one receptor), and each glomerulus receives projections from just one neuron type. Taken together, these three motifs—broad receptors, selective expression, and glomerular convergence—constitute "canonical olfaction," since a number of model organisms including mice and flies exhibit these features. The emergence of this distinctive architecture across evolutionary lineages suggests that it may be optimized for information processing, an idea known as efficient coding. In this talk, I explain how, by maximizing mutual information one layer at a time, efficient coding recovers several features of canonical olfactory processing under realistic biophysical assumptions. In the second part of the talk, I will speculate about what other aspects of olfactory processing might be understood using mutual information.
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Sparse Autoencoders (SAEs) have found widespread success parsing neural representations into interpretable concepts, providing a basis for understanding and control. However, what exactly an SAE extracts, and, correspondingly, the scientific conclusions we can draw, is not obvious. Empirically, the proof is in the pudding: SAEs do learn interpretable features. Theoretically, we lack a clear account of what properties a 'concept' must satisfy for an SAE to extract it. There is an extensive body of work studying sparse coding identifiability; in particular, given data generated under sparsity assumptions, when will an algorithm recover the true factors? However, SAEs are trained on internet-swallowing representations that are poorly approximated by simple generative models. Rather than assuming a hypothesised ground truth, we ask what properties any dictionary learning optimum must satisfy without data-assumptions. Concretely, we extend existing local optimality analyses to the nonnegative joint-optimisation problem that vanilla SAEs approximate, and derive constraints relating optimal SAE features to their distributions. We use these to explain a range of observed SAE behaviours - hierarchical splitting & absorption, the structure of residuals, and dense antipodal features - each reflecting how L1+nonnegativity interact with data to structure optimal dictionaries. Further, we identify a novel convex formulation of the problem, and use it to ask: will larger SAEs ever stop splitting? We find the answer can be yes, with a limiting dictionary state that clusters data along rays. In sum, we hope this framework can tease model assumptions from unexpected observations, letting us learn more from SAEs' successes.
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Does structure in representations imply structure in computation? We study how Llama-3.1-8B reasons over cyclic concepts (e.g., "what month is three months after November?"). Even though Llama-3.1-8B has circular representations for these concepts, we find that instead of directly computing modular addition in the period of the cyclic concept (e.g., 12 for months), the model re-uses a generic addition mechanism across tasks that operates independently of concept-specific geometry. First, it computes the sum of its two inputs using non-modular addition (three + November = 14). Then, it maps back to cyclic concept space (14 → February). We show that Llama-3.1-8B uses task-agnostic Fourier features to compute these sums—in fact, these features have periods that respect standard base-10 addition, e.g., 2, 5, and 10, rather than the cyclic concept period (e.g., 12). Furthermore, we identify a sparse, reusable set of 28 MLP neurons (~0.2% of the MLP at layer 18) that can be partitioned into disjoint clusters that each compute the sum for a Fourier feature with a different period.
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This paper introduces MAIRL, a multi-agent inverse reinforcement learning framework that recovers interpretable, decomposed value maps from behavior, revealing how latent value functions conditioned on social roles govern multi-agent interactions across species.
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This paper shows that statistical symmetries inherent in natural language directly induce geometric structure in the representation spaces of language models.
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This paper proposes a multilevel interpretability framework for ANNs by adapting concepts and methods from neuroscience to systematically analyze representations across scales.
Read Paper →Panelists debated which unit of analysis — neuron, circuit, feature, or manifold — has the most explanatory traction and which is most overhyped, then bridged across fields by asking what a satisfying circuit explanation requires and when geometric pictures add genuine insight versus elegant redescription. The closing challenge: articulate a one-sentence holy grail in terms of these units and their interactions.
A presentation on how harmful behavior in LLMs relies on a compact set of internal weights, helping explain why safety safeguards are brittle and why narrow fine-tuning can trigger broad misalignment.
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A presentation on decomposing the query-key space in Transformer attention heads into low-rank, human-interpretable components — and attributing attention scores to identified semantic features.
Read Paper →Panelists from neuroscience and ML interpretability debated what counts as an explanation — whether faithful, useful, or both — and traded concrete examples of where understanding pays off versus creates false evidence. Discussion ranged from one-sentence holy grails to bottlenecks in theory, data, and evaluation, closing on methods each field would borrow from the other.
Our inaugural pilot semester — 6 sessions spanning geometry of representations, methods for understanding and shaping models, applications in the sciences, and brain–model alignment.
A tour of circuit analysis for neural network interpretability — from gaining scientific insights into arithmetic reasoning in LLMs to diagnosing performance gaps in VLMs on visual tasks, with a look toward scaling circuit analysis to complex real-world behaviors.
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This paper reveals systematic geometric similarities across the token embeddings of large language models — both in global relative orientations and local intrinsic structure — and introduces EMB2EMB to linearly transfer steering vectors between models.
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A tour of geometric and manifold-based approaches to parameter-efficient fine-tuning, tracing how orthogonality, constrained optimization, and algebraic structure can reduce catastrophic forgetting and improve efficiency beyond vanilla LoRA.
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A comparison of closed-loop stimulus synthesis approaches — generative models vs. encoding model-based feature accentuation — as stringent tests of brain–model alignment across the ventral visual stream.
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This work introduces SparKer, a sparse ensemble of Gaussian kernels grounded in a semi-supervised Neyman–Pearson framework, designed to detect and interpret anomalies in high-dimensional representation spaces with sparsity, locality, and competitive allocation.
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The inaugural PRISM session: a presentation of the foundational "Toy Models of Superposition" paper, exploring how neural networks represent more features than they have dimensions — and what this reveals about the geometry of representations.
Read Paper →Perspectives on Interpretability in Sciences and ML
To systematically explore the similarities and differences between neuroscience and machine learning interpretability.
Interpretability is a rapidly growing area in both AI research and neuroscience, aiming to understand how neural networks — artificial and biological — represent and process information. PRISM brings together researchers and students working on diverse approaches to this shared problem, from geometric structure in neural network latent spaces to tools for interpreting large models and understanding biological neural circuits.
Building on earlier semesters’ focus on representations, methods, and goals, Fall 2026 asks how interpretability is actually useful — what it lets us explain about the computations behind specific capabilities in artificial and biological systems, and where it drives progress in other fields. Sessions are organized around three connected themes:
Across these themes we continue to ask how ideas transfer between neuroscience and machine learning, alongside practical motivations such as model control, safety, and alignment.
17 sessions: 8 guest talks, 7 paper presentations and discussions, and 2 panel discussions. Our second semester took an abstract, synthesis-oriented view of interpretability, alternating panels with research talks and placing greater weight on neuroscience than the inaugural term. Sessions covered:
6 sessions: an opening paper discussion and 5 research talks. Our inaugural semester was a pilot series spanning four themes:
Speakers included postdocs, graduate students, and undergraduates from SEAS, MCB, and affiliated institutes including IAIFI and the Kempner Institute.
Sessions run weekly on Tuesdays from 3–4 PM, with 30 minutes of presentation followed by 30 minutes of open discussion. Each session pairs an ML interpretability researcher with a neuroscience or science researcher. Sessions are held in SEC 6.242 at the Kempner Institute, with a Zoom option available. Light refreshments are provided.
Members are welcome to suggest papers for future sessions.
PRISM is sponsored by the Kempner Institute for the Study of Natural and Artificial Intelligence at Harvard University. The Kempner Institute supports interdisciplinary research at the intersection of natural and artificial intelligence.
The people behind PRISM
PRISM is organized by researchers across departments at Harvard. We welcome others who wish to get involved in organizing future sessions.