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Analysis and manipulation of trained neural networks is a challenging and important problem. We propose a symbolic representation for piecewise-linear neural networks and discuss its efficient computation. With this representation, one can…

Machine Learning · Computer Science 2019-08-21 Matthew Sotoudeh , Aditya V. Thakur

Neural models and symbolic algorithms have recently been combined for tasks requiring both perception and reasoning. Neural models ground perceptual input into a conceptual vocabulary, on which a classical reasoning algorithm is applied to…

Artificial Intelligence · Computer Science 2021-06-08 Ananye Agarwal , Pradeep Shenoy , Mausam

Neuro-symbolic AI is an effective method for improving the overall performance of AI models by combining the advantages of neural networks and symbolic learning. However, there are differences between the two in terms of how they process…

Artificial Intelligence · Computer Science 2024-11-08 Xin Zhang , Victor S. Sheng

This paper proposes a novel learning architecture for acquiring generalizable high-level symbolic skills from a few unlabeled low-level skill trajectory demonstrations. The architecture involves neural networks for symbol discovery and…

Robotics · Computer Science 2026-03-03 Hakan Aktas , Yigit Yildirim , Ahmet Firat Gamsiz , Deniz Bilge Akkoc , Erhan Oztop , Emre Ugur

We investigate a relatively underexplored class of hybrid neurosymbolic models integrating symbolic learning with neural reasoning to construct data generators meeting formal correctness criteria. In \textit{Symbolic Neural Generators}…

Machine Learning · Computer Science 2025-10-28 Ashwin Srinivasan , A Baskar , Tirtharaj Dash , Michael Bain , Sanjay Kumar Dey , Mainak Banerjee

Neural reasoning accuracy improves when generating intermediate reasoning steps. However, the source of this improvement is yet unclear. Here, we investigate and factorize the benefit of generating intermediate steps for symbolic reasoning.…

Artificial Intelligence · Computer Science 2023-02-17 Yoichi Aoki , Keito Kudo , Tatsuki Kuribayashi , Ana Brassard , Masashi Yoshikawa , Keisuke Sakaguchi , Kentaro Inui

In recent years, neuro-symbolic methods have become a popular and powerful approach that augments artificial intelligence systems with the capability to perform abstract, logical, and quantitative deductions with enhanced precision and…

Artificial Intelligence · Computer Science 2025-02-04 Yuxuan Wu , Hideki Nakayama

The goal of neuro-symbolic AI is to integrate symbolic and subsymbolic AI approaches, to overcome the limitations of either. Prominent systems include Logic Tensor Networks (LTN) or DeepProbLog, which offer neural predicates and end-to-end…

Artificial Intelligence · Computer Science 2025-06-18 Stephen Roth , Lennart Baur , Derian Boer , Stefan Kramer

Neural implicit surface representations have recently emerged as popular alternative to explicit 3D object encodings, such as polygonal meshes, tabulated points, or voxels. While significant work has improved the geometric fidelity of these…

Graphics · Computer Science 2023-06-27 Yanran Guan , Andrei Chubarau , Ruby Rao , Derek Nowrouzezahrai

Generating fluent natural language responses from structured semantic representations is a critical step in task-oriented conversational systems. Avenues like the E2E NLG Challenge have encouraged the development of neural approaches,…

Computation and Language · Computer Science 2019-06-19 Anusha Balakrishnan , Jinfeng Rao , Kartikeya Upasani , Michael White , Rajen Subba

In this paper, we present a compositional methodology for constructing symbolic models of nonlinear interconnected impulsive systems. Our approach relies on the concept of "alternating simulation function" to establish a relationship…

Systems and Control · Electrical Eng. & Systems 2023-12-29 Sadek Belamfedel Alaoui , Adnane Saoud , Pushpak Jagtap , Abdalla Swikir

We propose a novel neural architecture for representing 3D surfaces, which harnesses two complementary shape representations: (i) an explicit representation via an atlas, i.e., embeddings of 2D domains into 3D; (ii) an implicit-function…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Omid Poursaeed , Matthew Fisher , Noam Aigerman , Vladimir G. Kim

We propose a symbolic generative task description language and a corresponding inference engine capable of representing arbitrary multimodal tasks as structured symbolic flows. Unlike conventional generative models that rely on large-scale…

In recent years, neural systems have demonstrated highly effective learning ability and superior perception intelligence. However, they have been found to lack effective reasoning and cognitive ability. On the other hand, symbolic systems…

Machine Learning · Computer Science 2023-06-27 Dongran Yu , Bo Yang , Dayou Liu , Hui Wang , Shirui Pan

We challenge black-box purely deep neural approaches for molecules and graph generation, which are limited in controllability and lack formal guarantees. We introduce Neuro-Symbolic Graph Generative Modeling (NSGGM), a neurosymbolic…

Machine Learning · Computer Science 2026-02-25 Chuqin Geng , Li Zhang , Mark Zhang , Haolin Ye , Ziyu Zhao , Xujie Si

When neural networks are used to solve differential equations, they usually produce solutions in the form of black-box functions that are not directly mathematically interpretable. We introduce a method for generating symbolic expressions…

Machine Learning · Computer Science 2020-11-05 Maysum Panju , Ali Ghodsi

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

Vector graphics are essential in design, providing artists with a versatile medium for creating resolution-independent and highly editable visual content. Recent advancements in vision-language and diffusion models have fueled interest in…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Sagi Polaczek , Yuval Alaluf , Elad Richardson , Yael Vinker , Daniel Cohen-Or

Imitation learning is a popular method for teaching robots new behaviors. However, most existing methods focus on teaching short, isolated skills rather than long, multi-step tasks. To bridge this gap, imitation learning algorithms must not…

Artificial Intelligence · Computer Science 2025-11-04 Leon Keller , Daniel Tanneberg , Jan Peters

Neural reconstruction and rendering strategies have demonstrated state-of-the-art performances due, in part, to their ability to preserve high level shape details. Existing approaches, however, either represent objects as implicit surface…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Angtian Wang , Yuanlu Xu , Nikolaos Sarafianos , Robert Maier , Edmond Boyer , Alan Yuille , Tony Tung
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