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Large Language Models (LLMs) changed the way we design and interact with software systems. Their ability to process and extract information from text has drastically improved productivity in a number of routine tasks. Developers that want…

Machine Learning · Computer Science 2025-08-26 Federico Errica , Giuseppe Siracusano , Davide Sanvito , Roberto Bifulco

Statistics and Optimization are foundational to modern Machine Learning. Here, we propose an alternative foundation based on Abstract Algebra, with mathematics that facilitates the analysis of learning. In this approach, the goal of the…

Machine Learning · Computer Science 2025-02-28 Fernando Martin-Maroto , Nabil Abderrahaman , David Mendez , Gonzalo G. de Polavieja

We develop a practical and novel method for inference on intersection bounds, namely bounds defined by either the infimum or supremum of a parametric or nonparametric function, or equivalently, the value of a linear programming problem with…

Statistics Theory · Mathematics 2013-05-06 Victor Chernozhukov , Sokbae Lee , Adam M. Rosen

Proper quantification of predictive uncertainty is essential for the use of machine learning in safety-critical applications. Various uncertainty measures have been proposed for this purpose, typically claiming superiority over other…

Machine Learning · Computer Science 2025-12-16 Paul Hofman , Yusuf Sale , Eyke Hüllermeier

Symmetry is one of the most central concepts in physics, and it is no surprise that it has also been widely adopted as an inductive bias for machine-learning models applied to the physical sciences. This is especially true for models…

Chemical Physics · Physics 2024-12-23 Marcel F. Langer , Sergey N. Pozdnyakov , Michele Ceriotti

In structured prediction, the goal is to jointly predict many output variables that together encode a structured object -- a path in a graph, an entity-relation triple, or an ordering of objects. Such a large output space makes learning…

Machine Learning · Computer Science 2022-01-28 Kareem Ahmed , Eric Wang , Kai-Wei Chang , Guy Van den Broeck

Many recent theoretical works on \emph{meta-learning} aim to achieve guarantees in leveraging similar representational structures from related tasks towards simplifying a target task. The main aim of theoretical guarantees on the subject is…

Machine Learning · Statistics 2025-05-21 Dimitri Meunier , Zhu Li , Arthur Gretton , Samory Kpotufe

Recently, adversarial deception becomes one of the most considerable threats to deep neural networks. However, compared to extensive research in new designs of various adversarial attacks and defenses, the neural networks' intrinsic…

Machine Learning · Computer Science 2019-05-13 Fuxun Yu , Zhuwei Qin , Chenchen Liu , Liang Zhao , Yanzhi Wang , Xiang Chen

This paper investigates the use of probabilistic neural networks (PNNs) to model aleatoric uncertainty, which refers to the inherent variability in the input-output relationships of a system, often characterized by unequal variance or…

Machine Learning · Statistics 2024-02-22 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Scott E. Stapleton

We propose methods to strengthen the invariance properties of representations obtained by contrastive learning. While existing approaches implicitly induce a degree of invariance as representations are learned, we look to more directly…

Machine Learning · Computer Science 2021-03-23 Adam Foster , Rattana Pukdee , Tom Rainforth

State-of-the-art neurosymbolic learning systems use probabilistic reasoning to guide neural networks towards predictions that conform to logical constraints over symbols. Many such systems assume that the probabilities of the considered…

Machine Learning · Statistics 2024-06-10 Emile van Krieken , Pasquale Minervini , Edoardo M. Ponti , Antonio Vergari

Large Language Models (LLMs) are increasingly deployed to automatically label and analyze educational dialogue at scale, yet current pipelines lack reliable ways to detect when models are wrong. We investigate whether reasoning generated by…

Computation and Language · Computer Science 2026-02-11 Bakhtawar Ahtisham , Kirk Vanacore , Zhuqian Zhou , Jinsook Lee , Rene F. Kizilcec

Representation learning constructs low-dimensional representations to summarize essential features of high-dimensional data. This learning problem is often approached by describing various desiderata associated with learned representations;…

Machine Learning · Statistics 2022-02-14 Yixin Wang , Michael I. Jordan

Compositionality is a pivotal property of symbolic reasoning. However, how well recent neural models capture compositionality remains underexplored in the symbolic reasoning tasks. This study empirically addresses this question by…

Computation and Language · Computer Science 2023-02-16 Keito Kudo , Yoichi Aoki , Tatsuki Kuribayashi , Ana Brassard , Masashi Yoshikawa , Keisuke Sakaguchi , Kentaro Inui

Combining abstract, symbolic reasoning with continuous neural reasoning is a grand challenge of representation learning. As a step in this direction, we propose a new architecture, called neural equivalence networks, for the problem of…

Machine Learning · Computer Science 2017-06-13 Miltiadis Allamanis , Pankajan Chanthirasegaran , Pushmeet Kohli , Charles Sutton

Inference tasks in signal processing are often characterized by the availability of reliable statistical modeling with some missing instance-specific parameters. One conventional approach uses data to estimate these missing parameters and…

Signal Processing · Electrical Eng. & Systems 2023-04-25 Nir Shlezinger , Tirza Routtenberg

This work explores the integration of ontology-based reasoning and Machine Learning techniques for explainable value classification. By relying on an ontological formalization of moral values as in the Moral Foundations Theory, relying on…

Artificial Intelligence · Computer Science 2024-10-17 Nicolas Lazzari , Stefano De Giorgis , Aldo Gangemi , Valentina Presutti

Symbolic regression searches for analytic expressions that accurately describe studied phenomena. The main attraction of this approach is that it returns an interpretable model that can be insightful to users. Historically, the majority of…

This paper investigates the learnability of the nonlinearity property of Boolean functions using neural networks. We train encoder style deep neural networks to learn to predict the nonlinearity of Boolean functions from examples of…

Machine Learning · Computer Science 2025-02-04 Sriram Ranga , Nandish Chattopadhyay , Anupam Chattopadhyay

We describe basic ideas underlying research to build and understand artificially intelligent systems: from symbolic approaches via statistical learning to interventional models relying on concepts of causality. Some of the hard open…

Artificial Intelligence · Computer Science 2022-04-04 Bernhard Schölkopf , Julius von Kügelgen