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Published: 15/10/2017ChvatalGomory (CG) cuts and the BienstockZuckerberg hierarchy capture useful linear programs that the standard bounded degree Lasserre/SumofSquares (SOS) hierarchy fails to capture. In this paper ... Read moreSource: weizmann.ac.il


Published: 13/10/2017Distribution testing is an area of property testing that studies algorithms that receive few samples from a probability distribution D and decide whether D has a certain property or is far (in total v ... Read moreSource: weizmann.ac.il

Published: 12/10/2017We relate different approaches for proving the unsatisfiability of a system of real polynomial equations over Boolean variables. On the one hand, there are the static proof systems SheraliAdams and s ... Read moreSource: weizmann.ac.il

Published: 11/10/2017Newton iteration (NI) is an almost 350 years old recursive formula that approximates a simple root of a polynomial quite rapidly. We generalize it to a matrix recurrence (allRootsNI) that approximates ... Read moreSource: weizmann.ac.il

Published: 11/10/2017Let $f$ be a Boolean function on $n$bits, and $\mathsf{IP}$ the innerproduct function on $2b$ bits. Let $f^{\mathsf{IP}}:=f \circ \mathsf{IP}^n$ be the two party function obtained by composing $f$ w ... Read moreSource: weizmann.ac.il

Published: 10/10/2017[The following announcement is posted on behalf of Alex Slivkins and the rest of the Algorithmic Economics group at Microsoft Research NYC.] Microsoft Research NYC is looking for a postdoc in Algorith ... Read moreSource: agtb.wordpress.com

Published: 9/10/2017We introduce and develop a new semialgebraic proof system, called Stabbing Planes that is in the style of DPLLbased modern SAT solvers. As with DPLL, there is only one rule: the current polytope can ... Read moreSource: weizmann.ac.il

Published: 8/10/2017We show that all known classical adversary lower bounds on randomized query complexity are equivalent for total functions, and are equal to the fractional block sensitivity $\text{fbs}(f)$. That inclu ... Read moreSource: weizmann.ac.il

Published: 8/10/2017Consider a random sequence of $n$ bits that has entropy at least $nk$, where $k\ll n$. A commonly used observation is that an average coordinate of this random sequence is close to being uniformly di ... Read moreSource: weizmann.ac.il

Published: 6/10/2017As it may have transpired by now, FOCS 2017 (a.k.a. the 58th Annual Symposium on Foundations of Computer Science) is around the corner. I am not going to go into the details of the talks on or related ... Read moreSource: ptreview.sublinear.info

Published: 6/10/2017The directsum question is a classical question that asks whether performing a task on $m$ independent inputs is $m$ times harder than performing it on a single input. In order to study this question, ... Read moreSource: weizmann.ac.il

Published: 4/10/2017Two more tragic losses coming before a greater tragedy Composite of crops from src1, src2 Michael Cohen and Vladimir Voevodsky were in different stages of their careers. Cohen was a graduate student a ... Read moreSource: rjlipton.wordpress.com

Published: 3/10/2017By email, by Twitter, even as the world was convulsed by tragedy, the inquiries poured in yesterday about a different topic entirely: Scott, did physicists really just prove that the universe is not a ... Read moreSource: www.scottaaronson.com

Published: 1/10/2017The composition of two Boolean functions $f:\left\{0,1\right\}^{m}\to\left\{0,1\right\}$, $g:\left\{0,1\right\}^{n}\to\left\{0,1\right\}$ is the function $f \diamond g$ that takes as inputs $m$ string ... Read moreSource: weizmann.ac.il

Published: 1/10/2017One of the prominent current challenges in complexity theory is the attempt to prove lower bounds for $TC^0$, the class of constantdepth, polynomialsize circuits with majority gates. Relying on the ... Read moreSource: weizmann.ac.il

Published: 27/09/2017We ask for feasibly constructive proofs of known circuit lower bounds for explicit functions on bit strings of length $n$. In 1995 Razborov showed that many can be proved in Cook’s theory $PV_1$, a bo ... Read moreSource: weizmann.ac.il

Published: 26/09/2017Locally decodable codes (LDCs) and locally correctable codes (LCCs) are errorcorrecting codes in which individual bits of the message and codeword, respectively, can be recovered by querying only few ... Read moreSource: weizmann.ac.il

Published: 21/09/2017We prove that a smalldepth Frege refutation of the Tseitin contradiction on the grid requires subexponential size. We conclude that polynomial size Frege refutations of the Tseitin contradiction must ... Read moreSource: weizmann.ac.il

Published: 19/09/2017We give a family of dictatorship tests with perfect completeness and lowsoundness for 2to2 constraints. The associated 2to2 conjecture has been the basis of some previous inapproximability result ... Read moreSource: weizmann.ac.il

Published: 19/09/2017We propose a simple idea for improving the randomized algorithm of Hertli for the Unique 3SAT problem. Read moreSource: weizmann.ac.il
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