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PRODID:-//Discrete Mathematics Group - ECPv6.15.20//NONSGML v1.0//EN
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X-WR-CALNAME:Discrete Mathematics Group
X-ORIGINAL-URL:https://dimag.ibs.re.kr
X-WR-CALDESC:Events for Discrete Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
TZOFFSETTO:+0900
TZNAME:KST
DTSTART:20180101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20190418T110000
DTEND;TZID=Asia/Seoul:20190418T120000
DTSTAMP:20260423T104813
CREATED:20190403T013055Z
LAST-MODIFIED:20240707T090539Z
UID:733-1555585200-1555588800@dimag.ibs.re.kr
SUMMARY:Jon-Lark Kim (김종락)\, Introduction to Boolean functions with Artificial Neural Network
DESCRIPTION:A Boolean function is a function from the set Q of binary vectors of length n (i.e.\, the binary n-dimensional hypercube) to $F_2=\{0\,1\}$. It has several applications to complexity theory\, digital circuits\, coding theory\, and cryptography.\nIn this talk we give a connection between Boolean functions and Artificial Neural Network. We describe how to represent Boolean functions by Artificial Neural Network including linear and polynomial threshold units and sigmoid units. For example\, even though a linear threshold function cannot realize XOR\, a polynomial threshold function can do it. We also give currently open problems related to the number of (Boolean) linear threshold functions and polynomial threshold functions.
URL:https://dimag.ibs.re.kr/event/2019-04-18/
LOCATION:Room B232\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20190426T160000
DTEND;TZID=Asia/Seoul:20190426T170000
DTSTAMP:20260423T104813
CREATED:20190309T122202Z
LAST-MODIFIED:20240705T211023Z
UID:666-1556294400-1556298000@dimag.ibs.re.kr
SUMMARY:Rose McCarty\, Circle graphs are polynomially chi-bounded
DESCRIPTION:Circle graphs are the intersection graphs of chords on a circle; vertices correspond to chords\, and two vertices are adjacent if their chords intersect. We prove that every circle graph with clique number k has chromatic number at most $4k^2$. Joint with James Davies.
URL:https://dimag.ibs.re.kr/event/2019-04-26/
LOCATION:Room B232\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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