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The extent to which neural networks are able to acquire and represent symbolic rules remains a key topic of research and debate. Much current work focuses on the impressive capabilities of large language models, as well as their often…

Machine Learning · Computer Science 2025-06-11 Anna Langedijk , Jaap Jumelet , Willem Zuidema

Interpretation and diagnosis of machine learning models have gained renewed interest in recent years with breakthroughs in new approaches. We present Manifold, a framework that utilizes visual analysis techniques to support interpretation,…

Machine Learning · Computer Science 2019-01-18 Jiawei Zhang , Yang Wang , Piero Molino , Lezhi Li , David S. Ebert

Temporal causal discovery is a crucial task aimed at uncovering the causal relations within time series data. The latest temporal causal discovery methods usually train deep learning models on prediction tasks to uncover the causality…

Machine Learning · Computer Science 2024-06-25 Lingbai Kong , Wengen Li , Hanchen Yang , Yichao Zhang , Jihong Guan , Shuigeng Zhou

To apply neural sequence models such as the Transformers to music generation tasks, one has to represent a piece of music by a sequence of tokens drawn from a finite set of pre-defined vocabulary. Such a vocabulary usually involves tokens…

Sound · Computer Science 2021-01-08 Wen-Yi Hsiao , Jen-Yu Liu , Yin-Cheng Yeh , Yi-Hsuan Yang

Recent advancements in imitation learning have led to transformer-based behavior foundation models (BFMs) that enable multi-modal, human-like control for humanoid agents. While excelling at zero-shot generation of robust behaviors, BFMs…

Machine Learning · Computer Science 2026-03-30 Ron Vainshtein , Zohar Rimon , Shie Mannor , Chen Tessler

Trained Transformers have been shown to compute abstract features that appear redundant for predicting the immediate next token. We identify which components of the gradient signal from the next-token prediction objective give rise to this…

Machine Learning · Computer Science 2026-03-17 Mark Rofin , Jalal Naghiyev , Michael Hahn

[RETRACTED]Data increasingly abounds, but distilling their underlying relationships down to something interpretable remains challenging. One approach is genetic programming, which `symbolically regresses' a data set down into an equation.…

Neural and Evolutionary Computing · Computer Science 2025-10-23 Amanda Bertschinger , James Bagrow , Joshua Bongard

In drug-discovery-related tasks such as virtual screening, machine learning is emerging as a promising way to predict molecular properties. Conventionally, molecular fingerprints (numerical representations of molecules) are calculated…

Machine Learning · Computer Science 2019-11-13 Shion Honda , Shoi Shi , Hiroki R. Ueda

Inference from large autoregressive models like Transformers is slow - decoding K tokens takes K serial runs of the model. In this work we introduce speculative decoding - an algorithm to sample from autoregressive models faster without any…

Machine Learning · Computer Science 2023-05-22 Yaniv Leviathan , Matan Kalman , Yossi Matias

Symbolic regression (SR) methods attempt to learn mathematical expressions that approximate the behavior of an observed system. However, when dealing with multivariate systems, they often fail to identify the functional form that explains…

Machine Learning · Computer Science 2024-06-27 Giorgio Morales , John W. Sheppard

We seek to understand how the representations of individual tokens and the structure of the learned feature space evolve between layers in deep neural networks under different learning objectives. We focus on the Transformers for our…

Computation and Language · Computer Science 2019-09-05 Elena Voita , Rico Sennrich , Ivan Titov

Successor-style representations have many advantages for reinforcement learning: for example, they can help an agent generalize from past experience to new goals, and they have been proposed as explanations of behavioral and neural data…

Machine Learning · Computer Science 2021-03-17 Kianté Brantley , Soroush Mehri , Geoffrey J. Gordon

Continuous representations of logic formulae allow us to integrate symbolic knowledge into data-driven learning algorithms. If such embeddings are semantically consistent, i.e. if similar specifications are mapped into nearby vectors, they…

Computation and Language · Computer Science 2025-09-17 Sara Candussio , Gaia Saveri , Gabriele Sarti , Luca Bortolussi

Transformer has become ubiquitous due to its dominant performance in various NLP and image processing tasks. However, it lacks understanding of how to generate mathematically grounded uncertainty estimates for transformer architectures.…

Computation and Language · Computer Science 2022-06-03 Karthik Abinav Sankararaman , Sinong Wang , Han Fang

In this paper, we present a new procedure to automatically generate interpretable hyperelastic material models. This approach is based on symbolic regression which represents an evolutionary algorithm searching for a mathematical model in…

Computational Engineering, Finance, and Science · Computer Science 2022-11-08 Rasul Abdusalamov , Markus Hillgärtner , Mikhail Itskov

Machine learning techniques play an important role in analyzing spectral data. The spectral data of fish biomass is useful in fish production, as it carries many important chemistry properties of fish meat. However, it is challenging for…

Neural and Evolutionary Computing · Computer Science 2025-05-29 Zhixing Huang , Bing Xue , Mengjie Zhang , Jeremy S. Ronney , Keith C. Gordon , Daniel P. Killeen

Recent advancements in computational chemistry have leveraged the power of trans-former-based language models, such as MoLFormer, pre-trained using a vast amount of simplified molecular-input line-entry system (SMILES) sequences, to…

Biomolecules · Quantitative Biology 2024-11-05 Tianhao Peng , Yuchen Li , Xuhong Li , Jiang Bian , Zeke Xie , Ning Sui , Shahid Mumtaz , Yanwu Xu , Linghe Kong , Haoyi Xiong

Current neural architectures lack a principled way to handle interchangeable tokens, i.e., symbols that are semantically equivalent yet distinguishable, such as bound variables. As a result, models trained on fixed vocabularies often…

Machine Learning · Computer Science 2026-02-02 İlker Işık , Wenchao Li

Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Govind Gandhi

Transformers have achieved great success across a wide range of applications, yet the theoretical foundations underlying their success remain largely unexplored. To demystify the strong capacities of transformers applied to versatile…

Machine Learning · Computer Science 2026-03-25 Chenyang Zhang , Qingyue Zhao , Quanquan Gu , Yuan Cao