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Neural networks have long been used to model human intelligence, capturing elements of behavior and cognition, and their neural basis. Recent advancements in deep learning have enabled neural network models to reach and even surpass human…

Machine Learning · Computer Science 2023-03-30 Andrew J. Nam , James L. McClelland

Deep neural networks (DNNs) have garnered significant attention in various fields of science and technology in recent years. Activation functions define how neurons in DNNs process incoming signals for them. They are essential for learning…

Machine Learning · Computer Science 2023-08-31 Jianfei Li , Han Feng , Ding-Xuan Zhou

Answering compositional questions that require multiple steps of reasoning against text is challenging, especially when they involve discrete, symbolic operations. Neural module networks (NMNs) learn to parse such questions as executable…

Computation and Language · Computer Science 2020-02-18 Nitish Gupta , Kevin Lin , Dan Roth , Sameer Singh , Matt Gardner

Neural networks and rational functions efficiently approximate each other. In more detail, it is shown here that for any ReLU network, there exists a rational function of degree $O(\text{polylog}(1/\epsilon))$ which is $\epsilon$-close, and…

Machine Learning · Computer Science 2017-06-13 Matus Telgarsky

Humans and animals exhibit a range of interesting behaviors in dynamic environments, and it is unclear how our brains actively reformat this dense sensory information to enable these behaviors. Experimental neuroscience is undergoing a…

Neurons and Cognition · Quantitative Biology 2023-11-07 Aran Nayebi

The execution of graph algorithms using neural networks has recently attracted significant interest due to promising empirical progress. This motivates further understanding of how neural networks can replicate reasoning steps with…

Machine Learning · Computer Science 2024-10-03 Artur Back de Luca , Kimon Fountoulakis

This work presents a novel computer architecture that extends the Von Neumann model with a dedicated Reasoning Unit (RU) to enable native artificial general intelligence capabilities. The RU functions as a specialized co-processor that…

Hardware Architecture · Computer Science 2025-07-23 Rajpreet Singh , Vidhi Kothari

The Abstraction and Reasoning Corpus (ARC) provides a compact laboratory for studying abstract reasoning, an ability central to human intelligence. Modern AI systems, including LLMs and ViTs, largely operate as sequence-of-behavior…

Artificial Intelligence · Computer Science 2026-01-21 Zhiguang Liu , Yi Shang

Neural algorithmic reasoning is an emerging area of machine learning that focuses on building neural networks capable of solving complex algorithmic tasks. Recent advancements predominantly follow the standard supervised learning paradigm…

Machine Learning · Computer Science 2025-01-03 Hefei Li , Chao Peng , Chenyang Xu , Zhengfeng Yang

Recent advances in general-purpose AI systems with attention-based transformers offer a potential window into how the neocortex and cerebellum, despite their relatively uniform circuit architectures, give rise to diverse functions and,…

Neurons and Cognition · Quantitative Biology 2025-12-03 Shogo Ohmae , Keiko Ohmae

Recent advancements in cognitive science and multi-round reasoning techniques for Large Language Models (LLMs) suggest that iterative thinking processes improve problem-solving performance in complex tasks. Inspired by this, approaches like…

Artificial Intelligence · Computer Science 2025-03-06 Chenhui Xu , Dancheng Liu , Jiajie Li , Amir Nassereldine , Zhaohui Li , Jinjun Xiong

Neural algorithmic reasoning aims to capture computations with neural networks by training models to imitate the execution of classical algorithms. While common architectures are expressive enough to contain the correct model in the weight…

Machine Learning · Computer Science 2025-08-14 Gleb Rodionov , Liudmila Prokhorenkova

This survey provides an in-depth and explanatory review of the approximation properties of deep neural networks, with a focus on feed-forward and residual architectures. The primary objective is to examine how effectively neural networks…

Machine Learning · Computer Science 2024-12-18 Owen Davis , Mohammad Motamed

Neural Algorithmic Reasoning is an emerging area of machine learning which seeks to infuse algorithmic computation in neural networks, typically by training neural models to approximate steps of classical algorithms. In this context, much…

Machine Learning · Computer Science 2023-02-10 Danilo Numeroso , Davide Bacciu , Petar Veličković

Even the most sophisticated artificial neural networks are built by aggregating substantially identical units called neurons. A neuron receives multiple signals, internally combines them, and applies a non-linear function to the resulting…

Quantum Physics · Physics 2017-12-01 Yudong Cao , Gian Giacomo Guerreschi , Alán Aspuru-Guzik

Deep learning has largely improved the performance of various natural language processing (NLP) tasks. However, most deep learning models are black-box machinery, and lack explicit interpretation. In this chapter, we will introduce our…

Computation and Language · Computer Science 2023-09-26 Xianggen Liu , Zhengdong Lu , Lili Mou

Deep artificial neural networks have surpassed human-level performance across a diverse array of complex learning tasks, establishing themselves as indispensable tools in both social applications and scientific research. Despite these…

Disordered Systems and Neural Networks · Physics 2025-09-03 Chuanbo Liu , Jin Wang

Artificial Intelligence (AI) systems based solely on neural networks or symbolic computation present a representational complexity challenge. While minimal representations can produce behavioral outputs like locomotion or simple…

Neurons and Cognition · Quantitative Biology 2022-10-19 Bradly Alicea , Jesse Parent

The input space of a neural network with ReLU-like activations is partitioned into multiple linear regions, each corresponding to a specific activation pattern of the included ReLU-like activations. We demonstrate that this partition…

Machine Learning · Computer Science 2021-01-15 Fengxiang He , Shiye Lei , Jianmin Ji , Dacheng Tao

We use deep sparsely connected neural networks to measure the complexity of a function class in $L^2(\mathbb R^d)$ by restricting connectivity and memory requirement for storing the neural networks. We also introduce representation system -…

Machine Learning · Computer Science 2021-08-17 Khay Boon Hong