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Phase transitions mark qualitative reorganizations of collective behavior, yet identifying their boundaries remains challenging whenever analytic solutions are absent and conventional simulations fail. Here we introduce learnability as a…

Materials Science · Physics 2025-10-10 Şener Özönder

Transformer-based models have become state-of-the-art tools in various machine learning tasks, including time series classification, yet their complexity makes understanding their internal decision-making challenging. Existing…

Machine Learning · Computer Science 2025-11-27 Matīss Kalnāre , Sofoklis Kitharidis , Thomas Bäck , Niki van Stein

Generative models have emerged as powerful priors for solving inverse problems. These models typically represent a class of natural signals using a single fixed complexity or dimensionality. This can be limiting: depending on the problem, a…

Machine Learning · Computer Science 2026-03-11 Sean Gunn , Jorio Cocola , Oliver De Candido , Vaggos Chatziafratis , Paul Hand

Mechanistic interpretability aims to reverse engineer neural networks by uncovering which high-level algorithms they implement. Causal abstraction provides a precise notion of when a network implements an algorithm, i.e., a causal model of…

Machine Learning · Computer Science 2025-03-17 Theodora-Mara Pîslar , Sara Magliacane , Atticus Geiger

A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: It requires an accurate map of the network that governs the interactions between the…

Systems and Control · Computer Science 2016-09-21 Yang-Yu Liu , Albert-Laszló Barabási

Compositional Explanations is a method for identifying logical formulas of concepts that approximate the neurons' behavior. However, these explanations are linked to the small spectrum of neuron activations (i.e., the highest ones) used to…

Machine Learning · Computer Science 2023-10-31 Biagio La Rosa , Leilani H. Gilpin , Roberto Capobianco

To what extent can a neural network systematically reason over symbolic facts? Evidence suggests that large pre-trained language models (LMs) acquire some reasoning capacity, but this ability is difficult to control. Recently, it has been…

Computation and Language · Computer Science 2020-11-17 Alon Talmor , Oyvind Tafjord , Peter Clark , Yoav Goldberg , Jonathan Berant

A hallmark of biological intelligence and control is combinatorial generalization: animals are able to learn various things, then piece them together in new combinations to produce appropriate outputs for new tasks. Inspired by the ability…

Neurons and Cognition · Quantitative Biology 2022-10-07 Sunny Duan , Mikail Khona , Adrian Bertagnoli , Sarthak Chandra , Ila Fiete

Modern generative models exhibit unprecedented capabilities to generate extremely realistic data. However, given the inherent compositionality of the real world, reliable use of these models in practical applications requires that they…

Machine Learning · Computer Science 2025-07-29 Maya Okawa , Ekdeep Singh Lubana , Robert P. Dick , Hidenori Tanaka

Coordinating multi-articulated bodies to generate purposeful movement is a formidable computational challenge. Yet the human motor system performs this task robustly in dynamic, uncertain environments, despite noisy and delayed feedback,…

Neurons and Cognition · Quantitative Biology 2026-02-24 Alessandro Salatiello

An embodied agent constantly influences its environment and is influenced by it. We use the sensorimotor loop to model these interactions and thereby we can quantify different information flows in the system by various information theoretic…

Information Theory · Computer Science 2024-11-15 Carlotta Langer , Nihat Ay

We formally define algorithmic capture of combinatorial tasks as the ability of a transformer to extrapolate to arbitrary task sizes with controllable error and logarithmic sample adaptation, providing a sharp scaling criterion for…

Machine Learning · Computer Science 2026-05-08 Orit Davidovich , Zohar Ringel

In this paper, we consider the supervised pre-trained transformer for a class of sequential decision-making problems. The class of considered problems is a subset of the general formulation of reinforcement learning in that there is no…

Machine Learning · Computer Science 2024-10-03 Hanzhao Wang , Yu Pan , Fupeng Sun , Shang Liu , Kalyan Talluri , Guanting Chen , Xiaocheng Li

Identifying and exploiting common features across domains is at the heart of the human ability to make analogies, and is believed to be crucial for the ability to continually learn. To do this successfully, general and flexible…

Machine Learning · Computer Science 2026-05-08 William T. Redman , Erik C. Johnson , Brian Robinson

Compositional generalization is a basic mechanism in human language learning, but current neural networks lack such ability. In this paper, we conduct fundamental research for encoding compositionality in neural networks. Conventional…

Computation and Language · Computer Science 2019-10-08 Yuanpeng Li , Liang Zhao , Jianyu Wang , Joel Hestness

State-of-the-art deep-learning-based approaches to Natural Language Processing (NLP) are credited with various capabilities that involve reasoning with natural language texts. In this paper we carry out a large-scale empirical study…

Computation and Language · Computer Science 2022-11-11 Viktor Schlegel , Kamen V. Pavlov , Ian Pratt-Hartmann

It has long been hypothesised that causal reasoning plays a fundamental role in robust and general intelligence. However, it is not known if agents must learn causal models in order to generalise to new domains, or if other inductive biases…

Artificial Intelligence · Computer Science 2024-07-22 Jonathan Richens , Tom Everitt

The ability to flexibly compose previously acquired skills to execute intelligent behaviors is a hallmark of natural intelligence. Such compositional flexibility is often attributed to context-dependent gating mechanisms that determine how…

Optimization and Control · Mathematics 2026-05-18 Francesca Rossi , Veronica Centorrino , Francesco Bullo , Giovanni Russo

Transformers use the dense self-attention mechanism which gives a lot of flexibility for long-range connectivity. Over multiple layers of a deep transformer, the number of possible connectivity patterns increases exponentially. However,…

Machine Learning · Computer Science 2023-06-05 Md Shamim Hussain , Mohammed J. Zaki , Dharmashankar Subramanian

Recent years have seen a boom in interest in machine learning systems that can provide a human-understandable rationale for their predictions or decisions. However, exactly what kinds of explanation are truly human-interpretable remains…

Machine Learning · Computer Science 2019-08-30 Isaac Lage , Emily Chen , Jeffrey He , Menaka Narayanan , Been Kim , Sam Gershman , Finale Doshi-Velez
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