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Inferring inductive invariants is one of the main challenges of formal verification. The theory of abstract interpretation provides a rich framework to devise invariant inference algorithms. One of the latest breakthroughs in invariant…

Programming Languages · Computer Science 2022-01-19 Yotam M. Y. Feldman , Mooly Sagiv , Sharon Shoham , James R. Wilcox

This paper presents a new numerical abstract domain for static analysis by abstract interpretation. This domain allows us to represent invariants of the form (x-y<=c) and (+/-x<=c), where x and y are variables values and c is an integer or…

Programming Languages · Computer Science 2016-08-14 Antoine Miné

Reinforcement Learning (RL) can enable agents to learn complex tasks. However, it is difficult to interpret the knowledge and reuse it across tasks. Inductive biases can address such issues by explicitly providing generic yet useful…

Artificial Intelligence · Computer Science 2022-12-13 Thomas Schnürer , Malte Probst , Horst-Michael Gross

Decidability and synthesis of inductive invariants ranging in a given domain play an important role in many software and hardware verification systems. We consider here inductive invariants belonging to an abstract domain $A$ as defined in…

Programming Languages · Computer Science 2020-07-14 Francesco Ranzato

Perceptual learning enables humans to recognize and represent stimuli invariant to various transformations and build a consistent representation of the self and physical world. Such representations preserve the invariant physical relations…

Neural and Evolutionary Computing · Computer Science 2020-07-02 Du Xiaorui , Yavuzhan Erdem , Immanuel Schweizer , Cristian Axenie

An extension of Transformers is proposed that enables explicit relational reasoning through a novel module called the Abstractor. At the core of the Abstractor is a variant of attention called relational cross-attention. The approach is…

Machine Learning · Statistics 2024-04-16 Awni Altabaa , Taylor Webb , Jonathan Cohen , John Lafferty

Inferring the unseen attribute-object composition is critical to make machines learn to decompose and compose complex concepts like people. Most existing methods are limited to the composition recognition of single-attribute-object, and can…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Hui Chen , Jingjing Jiang , Nanning Zheng

Value-based static analysis techniques express computed program invariants as logical formula over program variables. Researchers and practitioners use these invariants to aid in software engineering and verification tasks. When selecting…

Logic in Computer Science · Computer Science 2024-04-26 Kenny Ballou , Elena Sherman

This article presents a new numerical abstract domain for static analysis by abstract interpretation. It extends a former numerical abstract domain based on Difference-Bound Matrices and allows us to represent invariants of the form…

Programming Languages · Computer Science 2016-08-14 Antoine Miné

Human visual reasoning is characterized by an ability to identify abstract patterns from only a small number of examples, and to systematically generalize those patterns to novel inputs. This capacity depends in large part on our ability to…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Taylor W. Webb , Shanka Subhra Mondal , Jonathan D. Cohen

Abstract visual reasoning is a characteristically human ability, allowing the identification of relational patterns that are abstracted away from object features, and the systematic generalization of those patterns to unseen problems.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Shanka Subhra Mondal , Jonathan D. Cohen , Taylor W. Webb

Neural systems are well known for their ability to learn and store information as memories. Even more impressive is their ability to abstract these memories to create complex internal representations, enabling advanced functions such as the…

Neural and Evolutionary Computing · Computer Science 2024-09-20 Lindsay M. Smith , Jason Z. Kim , Zhixin Lu , Dani S. Bassett

Human perception is structured around objects which form the basis for our higher-level cognition and impressive systematic generalization abilities. Yet most work on representation learning focuses on feature learning without even…

We tackle the task of scalable unsupervised object-centric representation learning on 3D scenes. Existing approaches to object-centric representation learning show limitations in generalizing to larger scenes as their learning processes…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Tianyu Wang , Kee Siong Ng , Miaomiao Liu

Natural memories are associative, declarative and distributed. Symbolic computing memories resemble natural memories in their declarative character, and information can be stored and recovered explicitly; however, they lack the associative…

Artificial Intelligence · Computer Science 2020-09-29 Luis A. Pineda , Gibrán Fuentes , Rafael Morales

This paper presents an approach for learning invariant features for object affordance understanding. One of the major problems for a robotic agent acquiring a deeper understanding of affordances is finding sensory-grounded semantics. Being…

Robotics · Computer Science 2019-01-31 Martin Hjelm , Carl Henrik Ek , Renaud Detry , Danica Kragic

We add one more invariance - the state invariance - to the more commonly used other invariances for learning object representations for recognition and retrieval. By state invariance, we mean robust with respect to changes in the structural…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Rohan Sarkar , Avinash Kak

Invariant representations are core to representation learning, yet a central challenge remains: uncovering invariants that are stable and transferable without suppressing task-relevant signals. This raises fundamental questions, requiring…

Machine Learning · Computer Science 2025-09-29 Arun Kumar , Paul Schrater

Regular transition systems (RTS) are a popular formalism for modeling infinite-state systems in general, and parameterised systems in particular. In a CONCUR 22 paper, Esparza et al. introduce a novel approach to the verification of RTS,…

Formal Languages and Automata Theory · Computer Science 2024-07-22 Philipp Czerner , Javier Esparza , Valentin Krasotin , Christoph Welzel-Mohr

Accuracy and generalization of dynamics models is key to the success of model-based reinforcement learning (MBRL). As the complexity of tasks increases, so does the sample inefficiency of learning accurate dynamics models. However, many…

Machine Learning · Computer Science 2021-06-08 Manan Tomar , Amy Zhang , Roberto Calandra , Matthew E. Taylor , Joelle Pineau
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