Inveigle 发表于 2025-3-21 16:58:17
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Variants of the Determinant Polynomial and the ,-Completeness,olynomial which we call . and . and show that they are . and . complete respectively under .-projections. The definitions of the polynomials are inspired by a combinatorial characterisation of the determinant developed by Mahajan and Vinay (SODA 1997). We extend the combinatorial object in their worConscientious 发表于 2025-3-22 04:56:01
Dynamic Complexity of Expansion,.,.,., ., ., ., .] for some representative examples. Use of linear algebra has been a notable feature of some of these papers. We extend this theme to show that the gap version of spectral expansion in bounded degree graphs can be maintained in the class . (also known as ., for domain independent quneutralize 发表于 2025-3-22 11:04:28
Real ,-Conjecture for Sum-of-Squares: A Unified Approach to Lower Bound and Derandomization,n the number of distinct real roots of . is polynomially bounded in .. Assuming the conjecture with parameter ., one can show that . (i.e. symbolic permanent requires superpolynomial-size circuit). In this paper, we propose a .-conjecture for sum-of-squares (SOS) model (equivalently, .)..For a univa放牧 发表于 2025-3-22 14:44:04
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Approximation Schemes for Multiperiod Binary Knapsack Problems,otes the cumulative size for periods ., and a list of . items. Each item is a triple (., ., .) where . denotes the reward or value of the item, . its size, and . denotes its time index (or, deadline). The goal is to choose, for each deadline ., which items to include to maximize the total reward, suaerial 发表于 2025-3-22 21:18:07
Limitations of Sums of Bounded Read Formulas and ABPs,ng task in algebraic complexity theory. We study representation of polynomials as sums of weaker models such as read once formulas (ROFs) and read once oblivious algebraic branching programs (ROABPs). We prove: .Our results are based on analysis of the partial derivative matrix under different distr可转变 发表于 2025-3-23 05:21:18
http://reply.papertrans.cn/24/2339/233821/233821_9.png名义上 发表于 2025-3-23 07:52:18
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