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On the power of uniform families of constant depth threshold circuits

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01137685openalex-snapshot
Lower bounds on the size of bounded depth circuits over a complete basis with logical addition
inferredcites →https://doi.org/10.1016/0020-0190(83)90044-3openalex-snapshot
BPP and the polynomial hierarchy
inferredcites →https://doi.org/10.1016/0022-0000(81)90038-6openalex-snapshot
On uniform circuit complexity
inferredcites →https://doi.org/10.1016/0022-0000(88)90030-xopenalex-snapshot
Parallel computation with threshold functions
inferredcites →https://doi.org/10.1016/0022-0000(90)90022-dopenalex-snapshot
On uniformity within NC1
inferredcites →https://doi.org/10.1016/0304-3975(86)90135-0openalex-snapshot
NP is as easy as detecting unique solutions
inferredcites →https://doi.org/10.1109/sfcs.1978.37openalex-snapshot
Two theorems on random polynomial time
inferredcites →https://doi.org/10.1109/sfcs.1987.59openalex-snapshot
Threshold circuits of bounded depth
inferredcites →https://doi.org/10.1109/sfcs.1988.21916openalex-snapshot
Hardness vs. randomness
inferredcites →https://doi.org/10.1109/sfcs.1989.63538openalex-snapshot
A note on the power of threshold circuits
inferredcites →https://doi.org/10.1137/0221003openalex-snapshot
Polynomial Threshold Functions, $AC^0 $ Functions, and Spectral Norms
inferredcites →https://doi.org/10.1145/28395.28404openalex-snapshot
Algebraic methods in the theory of lower bounds for Boolean circuit complexity
inferredcites →https://doi.org/10.1145/76359.76370openalex-snapshot
P-uniform circuit complexity
inferredcites →https://doi.org/10.1145/800061.808762openalex-snapshot
A complexity theoretic approach to randomness

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1006/inco.1994.1057openalex-snapshot
Depth Reduction for Circuits of Unbounded Fan-in
inferred← citeshttps://doi.org/10.1006/jcss.1995.1036openalex-snapshot
The Power of the Middle Bit of a #P Function
inferred← citeshttps://doi.org/10.1007/3-540-54458-5_44openalex-snapshot
On strong separations from AC o
inferred← citeshttps://doi.org/10.1007/3-540-56279-6_94openalex-snapshot
On probabilistic ACC circuits with an exact-threshold output gate
inferred← citeshttps://doi.org/10.1007/978-1-4612-1872-2_11openalex-snapshot
Polynomials and Combinatorial Definitions of Languages
inferred← citeshttps://doi.org/10.1007/978-3-319-99660-8_14openalex-snapshot
Efficient Rational Proofs with Strong Utility-Gap Guarantees
inferred← citeshttps://doi.org/10.1007/bf01263422openalex-snapshot
Perceptrons, PP, and the polynomial hierarchy
inferred← citeshttps://doi.org/10.1016/0304-3975(93)90214-eopenalex-snapshot
Probabilistic polynomials, AC0 functions and the polynomial-time hierarchy
inferred← citeshttps://doi.org/10.1109/fscs.1990.89583openalex-snapshot
ON ACC and threshold circuits
inferred← citeshttps://doi.org/10.1109/sct.1991.160270openalex-snapshot
The perceptron strikes back
inferred← citeshttps://doi.org/10.1109/sct.1992.215376openalex-snapshot
Perceptrons, PP, and the polynomial hierarchy
inferred← citeshttps://doi.org/10.1109/sct.1992.215386openalex-snapshot
The power of the middle bit
inferred← citeshttps://doi.org/10.1109/sct.1995.514863openalex-snapshot
On the structure of low sets [complexity classes]
inferred← citeshttps://doi.org/10.1109/sfcs.1991.185449openalex-snapshot
On ACC (circuit complexity)
inferred← citeshttps://doi.org/10.1145/129712.129755openalex-snapshot
When do extra majority gates help?
inferred← citeshttps://doi.org/10.1145/167088.167226openalex-snapshot
Depth reduction for noncommutative arithmetic circuits
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