activity
20162026
most citedFrom Variational to Deterministic Autoencoders

103 citations · 272 across the 64 of their papers we have counts for

collaborators

68 papers

cs.LG2026

MERIT: Scaling KG Foundation Models with Relation Transformers

Cosimo Gregucci, Daniel Hernandez, Antonio Vergari +1

Knowledge graph (KG) foundation models (KGFMs) predict links on unseen graphs zero-shot. KGFMs have been pioneered by ULTRA which builds a relation graph from co-occurrences that m…

cs.LG2026

When Are Concept Bottleneck Model Explanations Faithful and Compact?

Stefano Teso, Emanuele Marconato, Steve Azzolin +1

Concept bottleneck models (CBMs) are neural classifiers that allow to explain their decisions via high-level concepts, potentially enabling understanding, steering and debugging. H…

cs.LG2026

Are you Synthesizing or Recalling? Evaluating LLMs on Algorithmic Code Retrieval

Nickil Maveli, Antonio Vergari, Shay B. Cohen

Large language models (LLMs) have demonstrated strong performance in code generation, where success depends on both recalling relevant algorithmic knowledge and reasoning about how…

cs.AI2026

The RAIL Principles for Neurosymbolic AI: Reasoning, Assurances, Interfacing and Learning

Agnese Chiatti, Michael Cochez, Cristina Cornelio +14

Neurosymbolic AI systems that integrate machine learning and symbolic reasoning are rapidly gaining attention. They complement the data-intensive statistical approaches of neural n…

cs.LG2026

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations

Christian Jimenez-Beltran, Aretha L. Teckentrup, Antonio Vergari +1

Inverse problems for differential equations arise throughout science and engineering, where one seeks to infer unknown model parameters from noisy or incomplete observations. Tradi…

cs.LG2026

Half a Link can Be Enough to Predict a Whole Link: Understanding Generalization in Knowledge Graph Foundation Models

Cosimo Gregucci, Obaidah Theeb, Daniel Hernandez +2

Knowledge graph (KG) foundation models (KGFMs) are zero-shot generalizers: trained once, they can predict links on unseen graphs without retraining. However, understanding when and…

cs.AI2026

Tractable Hierarchical Control of Autoregressive Language Models

Max Scribner, Antonio Vergari, Vaishak Belle

Constraining the generation of autoregressive large language models (LLMs) is an important component of integrating language models into formal systems. In the generation of code a…

cs.LG2026

How to Approximate Inference with Subtractive Mixture Models

Lena Zellinger, Nicola Branchini, Lennert De Smet +3

Classical mixture models (MMs) are widely used tractable proposals for approximate inference settings such as variational inference (VI) and importance sampling (IS). Recently, mix…

cs.CL2026

MIXAR: Scaling Autoregressive Pixel-based Language Models to Multiple Languages and Scripts

Chen Hu, Yintao Tai, Antonio Vergari +2

Pixel-based language models are gaining momentum as alternatives to traditional token-based approaches, promising to circumvent tokenization challenges; however, existing models re…

cs.LG2026

Even More Guarantees for Variational Inference in the Presence of Symmetries

Lena Zellinger, Antonio Vergari

When approximating an intractable density via variational inference (VI) the variational family is typically chosen as a simple parametric family that very likely does not contain…

cs.LG2026

Can VLMs Reason Robustly? A Neuro-Symbolic Investigation

Weixin Chen, Antonio Vergari, Han Zhao

Vision-Language Models (VLMs) have been applied to a wide range of reasoning tasks, yet it remains unclear whether they can reason robustly under distribution shifts. In this paper…

cs.LG2026

A Sobering Look at Tabular Data Generation via Probabilistic Circuits

Davide Scassola, Dylan Ponsford, Adrián Javaloy +4

Tabular data is more challenging to generate than text and images, due to its heterogeneous features and much lower sample sizes. On this task, diffusion-based models are the curre…

cs.LG2026

The Theory and Practice of MAP Inference over Non-Convex Constraints

Leander Kurscheidt, Gabriele Masina, Roberto Sebastiani +1

In many safety-critical settings, probabilistic ML systems have to make predictions subject to algebraic constraints, e.g., predicting the most likely trajectory that does not cros…

cs.LG2026

An Embarrassingly Simple Way to Optimize Orthogonal Matrices at Scale

Adrián Javaloy, Antonio Vergari

Orthogonality constraints are ubiquitous in robust and probabilistic machine learning. Unfortunately, current optimizers are computationally expensive and do not scale to problems…

cs.AI2026

To Neuro-Symbolic Classification and Beyond by Compiling Description Logic Ontologies to Probabilistic Circuits

Nicolas Lazzari, Valentina Presutti, Antonio Vergari

Background: Neuro-symbolic methods enhance the reliability of neural network classifiers through logical constraints, but they lack native support for ontologies. Objectives: We ai…

cs.LG2026

Can LLMs Compress (and Decompress)? Evaluating Code Understanding and Execution via Invertibility

Nickil Maveli, Antonio Vergari, Shay B. Cohen

LLMs demonstrate strong performance on code benchmarks, yet consistent reasoning across forward and backward execution remains elusive. We present RoundTripCodeEval (RTCE), a bench…

cs.LG2025

How to Square Tensor Networks and Circuits Without Squaring Them

Lorenzo Loconte, Adrián Javaloy, Antonio Vergari

Squared tensor networks (TNs) and their extension as computational graphs--squared circuits--have been used as expressive distribution estimators, yet supporting closed-form margin…

cs.LG2025

Can LLMs subtract numbers?

Mayank Jobanputra, Nils Philipp Walter, Maitrey Mehta +7

We present a systematic study of subtraction in large language models (LLMs). While prior benchmarks emphasize addition and multiplication, subtraction has received comparatively l…

cs.LG2025

Fast and Expressive Multi-Byte Prediction with Probabilistic Circuits

Andreas Grivas, Lorenzo Loconte, Emile van Krieken +6

Multi-token prediction (MTP) is a prominent strategy to significantly speed up generation in large language models (LLMs), especially in byte-level LLMs, which are tokeniser-free b…

cs.AI2025

Symbol Grounding in Neuro-Symbolic AI: A Gentle Introduction to Reasoning Shortcuts

Emanuele Marconato, Samuele Bortolotti, Emile van Krieken +6

Neuro-symbolic (NeSy) AI aims to develop deep neural networks whose predictions comply with prior knowledge encoding, e.g. safety or structural constraints. As such, it represents…

cs.LG2025

Tractable Representation Learning with Probabilistic Circuits

Steven Braun, Sahil Sidheekh, Antonio Vergari +3

Probabilistic circuits (PCs) are powerful probabilistic models that enable exact and tractable inference, making them highly suitable for probabilistic reasoning and inference task…

cs.LG2025

Neurosymbolic Reasoning Shortcuts under the Independence Assumption

Emile van Krieken, Pasquale Minervini, Edoardo Ponti +1

The ubiquitous independence assumption among symbolic concepts in neurosymbolic (NeSy) predictors is a convenient simplification: NeSy predictors use it to speed up probabilistic r…

cs.CL2025

SEMMA: A Semantic Aware Knowledge Graph Foundation Model

Arvindh Arun, Sumit Kumar, Mojtaba Nayyeri +4

Knowledge Graph Foundation Models (KGFMs) have shown promise in enabling zero-shot reasoning over unseen graphs by learning transferable patterns. However, most existing KGFMs rely…

cs.LG2025

Neurosymbolic Diffusion Models

Emile van Krieken, Pasquale Minervini, Edoardo Ponti +1

Neurosymbolic (NeSy) predictors combine neural perception with symbolic reasoning to solve tasks like visual reasoning. However, standard NeSy predictors assume conditional indepen…