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Lower bounds for monotone arithmetic circuits via communication complexity

Published:2021-06-15 Issue: Volume: Page:
ISSN:
Container-title:Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing
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Author:

Chattopadhyay Arkadev¹,Datta Rajit²,Mukhopadhyay Partha²

Affiliation:

1. Tata Institute of Fundamental Research, India

2. Chennai Mathematical Institute, India

Funder

MATRICS grant of the Science and Engineering Research Board, DST, India

Infosys Foundation

Tata Consultancy Services Research Fellowship

Publisher

ACM

Link

https://dl.acm.org/doi/pdf/10.1145/3406325.3451069

Reference36 articles.

1. The NOF Multiparty Communication Complexity of Composed Functions

2. Arithmetic Circuits: A Chasm at Depth Four

3. Monotone versus positive

4. Multiparty protocols, pseudorandom generators for logspace, and time-space trade-offs

5. Estimates for the Number of Sums and Products and for Exponential Sums in Fields of Prime Order;Bourgain J.;Journal of London Mathematical Society,2006

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1. Size and Depth of Monotone Neural Networks: Interpolation and Approximation;IEEE Transactions on Neural Networks and Learning Systems;2024

2. Monotone Arithmetic Complexity of Graph Homomorphism Polynomials;Algorithmica;2023-03-11

3. Theory research in India;Communications of the ACM;2022-10-20

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