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Modular Neural Computer

arXiv:2603.13323v1 Announce Type: new Abstract: This paper introduces the Modular Neural Computer (MNC), a memory-augmented neural architecture for exact algorithmic computation on variable-length inputs. The model combines an external associative memory of scalar cells, explicit read and write heads, a controller multi-layer perceptron (MLP), and a homogeneous set of functional MLP modules. Rather than learning an algorithm end to end from data, it realizes a given algorithm through analytically specified neural components with fixed interfaces and exact behavior. The control flow is represented inside the neural computation through one-hot module gates, where inactive modules are inhibited. Computation unfolds as a sequence of memory transformations generated by a fixed graph. The architecture is illustrated through three case studies: computing the minimum of an array, sorting an array in place, and executing A* search on a fixed problem instance. These examples show that algorithm

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Florin Leon
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arXiv:2603.13323v1 Announce Type: new Abstract: This paper introduces the Modular Neural Computer (MNC), a memory-augmented neural architecture for exact algorithmic computation on variable-length inputs. The model combines an external associative memory of scalar cells, explicit read and write heads, a controller multi-layer perceptron (MLP), and a homogeneous set of functional MLP modules. Rather than learning an algorithm end to end from data, it realizes a given algorithm through analytically specified neural components with fixed interfaces and exact behavior. The control flow is represented inside the neural computation through one-hot module gates, where inactive modules are inhibited. Computation unfolds as a sequence of memory transformations generated by a fixed graph. The architecture is illustrated through three case studies: computing the minimum of an array, sorting an array in place, and executing A* search on a fixed problem instance. These examples show that algorithmic procedures can be compiled into modular neural components with external memory while preserving deterministic behavior and explicit intermediate state.

Executive Summary

This article introduces the Modular Neural Computer (MNC), a novel neural architecture designed for exact algorithmic computation on variable-length inputs. The MNC combines an external associative memory with explicit read and write heads, a controller multi-layer perceptron (MLP), and functional MLP modules to realize algorithms through analytically specified neural components. The control flow is represented using one-hot module gates, and computation unfolds as a sequence of memory transformations generated by a fixed graph. The authors demonstrate the MNC's capabilities through three case studies, showcasing its ability to preserve deterministic behavior and explicit intermediate state. While promising, the MNC's applicability and scalability require further exploration.

Key Points

  • The MNC is a memory-augmented neural architecture designed for exact algorithmic computation.
  • The model combines an external associative memory with explicit read and write heads and functional MLP modules.
  • The control flow is represented using one-hot module gates and computation unfolds as a sequence of memory transformations.

Merits

Strength in Design

The MNC's modular design and explicit read/write heads enable precise control over computation and memory access, facilitating the realization of complex algorithms.

Exact Algorithmic Computation

The MNC's ability to realize algorithms through analytically specified neural components ensures deterministic behavior and explicit intermediate state.

Demerits

Limited Scalability

The MNC's fixed graph-based computation may limit its ability to scale to complex problems or variable-length inputs.

Training Complexity

The MNC's dependence on analytically specified neural components may increase the complexity of training and fine-tuning the model.

Expert Commentary

The MNC represents a significant advancement in the development of neural architectures for exact algorithmic computation. By combining the strengths of memory-augmented neural networks and neural algorithms, the MNC offers a novel approach to realizing complex algorithms through analytically specified neural components. While the MNC's limitations in scalability and training complexity require further exploration, its potential applications in AI and scientific computing make it an exciting and promising area of research.

Recommendations

  • Further research is needed to explore the scalability and applicability of the MNC to complex problems and variable-length inputs.
  • The development of more efficient training methods and algorithms for the MNC is essential to unlock its full potential.

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