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The method of partial derivatives is one of the most successful lower bound methods for arithmetic circuits.
A certain class of incidence matrices
D. H. Gottlieb · 1966
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The complexity of computing the permanent
L. G. Valiant · 1979
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The complexity of counting cuts and of computing the probability that a graph is connected
J Scott Provan and Michael O Ball · 1983
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Lower bounds on arithmetic circuits via partial derivatives
N. Nisan and A. Wigderson · 1996
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Communication Complexity
E Kushilevitz and N Nisan · 1997
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Approximately counting up to four
Michael Luby and Eric Vigoda · 1997
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On Markov chains for independent sets
Martin Dyer and Catherine Greenhill · 2000
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The complexity of counting colourings and independent sets in sparse graphs and hypergraphs
Catherine Greenhill · 2000
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The complexity of counting in sparse, regular, and planar graphs
Salil Vadhan · 2001
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On counting independent sets in sparse graphs
Martin Dyer, Alan Frieze, and Mark Jerrum · 2002
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Perturbed identity matrices have high rank: Proof and applications
Noga Alon · 2009
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Arithmetic circuits: A survey of recent results and open questions
Amir Shpilka and Amir Yehudayoff · 2010
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Partial derivatives in arithmetic complexity and beyond
Xi Chen, Neeraj Kayal, and Avi Wigderson · 2011
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Most tensor problems are NP-hard
Christopher J Hillar and Lek-Heng Lim · 2013
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Complexity and algorithms for Euler characteristic of simplicial complexes
Bjarke Hammersholt Roune and Eduardo Sáenz-de Cabezón · 2013
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An exponential lower bound for homogeneous depth four arithmetic formulas
Neeraj Kayal, Nutan Limaye, Chiranjib Saha, and Sudarshan Srinivasan · 2014
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The shifted partial derivative complexity of elementary symmetric polynomials
Hervé Fournier, Nutan Limaye, Meena Mahajan, and Srikanth Srinivasan · 2015
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Lower bounds for depth three arithmetic circuits with small bottom fanin
Neeraj Kayal and Chandan Saha · 2015
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Affine projections of polynomials
Neeraj Kayal · 2012
Cited alongside, same era.
A survey of lower bounds in arithmetic circuit complexity
R. Saptharishi
Cited in the paper.
Yaroslav Shitov · 2016
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