363 research outputs found
A new explanation of the origins of World War I ?
The author reviews two important books which have recently been published on the origins of World War I: The Sleepwalkers. How Europe Went to War in 1914 by Cambridge University profes-sor Christopher Clark, and The War that Ended Peace: The Road to 1914 by Oxford University historian Margaret MacMilla
On the List-Decodability of Random Linear Codes
For every fixed finite field \F_q, and , we
prove that with high probability a random subspace of \F_q^n of dimension
has the property that every Hamming ball of radius
has at most codewords.
This answers a basic open question concerning the list-decodability of linear
codes, showing that a list size of suffices to have rate within
of the "capacity" . Our result matches up to constant
factors the list-size achieved by general random codes, and gives an
exponential improvement over the best previously known list-size bound of
.
The main technical ingredient in our proof is a strong upper bound on the
probability that random vectors chosen from a Hamming ball centered at
the origin have too many (more than ) vectors from their linear
span also belong to the ball.Comment: 15 page
Super-polylogarithmic hypergraph coloring hardness via low-degree long codes
We prove improved inapproximability results for hypergraph coloring using the
low-degree polynomial code (aka, the 'short code' of Barak et. al. [FOCS 2012])
and the techniques proposed by Dinur and Guruswami [FOCS 2013] to incorporate
this code for inapproximability results. In particular, we prove
quasi-NP-hardness of the following problems on -vertex hyper-graphs:
* Coloring a 2-colorable 8-uniform hypergraph with
colors.
* Coloring a 4-colorable 4-uniform hypergraph with
colors.
* Coloring a 3-colorable 3-uniform hypergraph with colors.
In each of these cases, the hardness results obtained are (at least)
exponentially stronger than what was previously known for the respective cases.
In fact, prior to this result, polylog n colors was the strongest quantitative
bound on the number of colors ruled out by inapproximability results for
O(1)-colorable hypergraphs.
The fundamental bottleneck in obtaining coloring inapproximability results
using the low- degree long code was a multipartite structural restriction in
the PCP construction of Dinur-Guruswami. We are able to get around this
restriction by simulating the multipartite structure implicitly by querying
just one partition (albeit requiring 8 queries), which yields our result for
2-colorable 8-uniform hypergraphs. The result for 4-colorable 4-uniform
hypergraphs is obtained via a 'query doubling' method. For 3-colorable
3-uniform hypergraphs, we exploit the ternary domain to design a test with an
additive (as opposed to multiplicative) noise function, and analyze its
efficacy in killing high weight Fourier coefficients via the pseudorandom
properties of an associated quadratic form.Comment: 25 page
Ripple effects for the future : study of lasting value creation for the case of North Norway
Current studies as well as popular opinion have shown ripple effects from oil and gas projects
in North Norway to be inadequate. Questions about how to amend these shortcomings have
been heavily discussed both in governmental circles, as well as popular media. Furthermore,
opinions about methods to create permanent ripple effects have been expressed. The US has
implemented various pieces of legislation to amend similar problems, and this thesis gathers
and analyzes the ripple effects and their potential sustainability that these legislation
examples have promoted. Furthermore, North Norwegian stakeholders were interviewed to
gain their perspective on what ripple effects are desired in North Norway. In the discussion,
the analysis results of US ripple effects were compared to analysis outcome of ripple effects
that are desired by North Norwegian stakeholders, to see whether similar policies may or may
not be implemented in North Norway as an attempt to achieve similar results. The study then
proceeds with a discussion over who is responsible for creating, obtaining, and even
maintaining these effects in North Norway. Based on the results, the researchers recommend
that similar policies are implemented in Norway, with shared responsibility among
government, stakeholders and petroleum companies, to achieve a balance of effects that is
desired by all stakeholders involved in further sustainable development of North Norway
Strategic Delegation and Voting Rules
When making collective decisions, principals (voters or districts) typically benefit by strategically delegating their bargaining and voting power to representatives different from themselves. There are conflicting views in the literature, however, of whether such a delegate should be "conservative" (status quo biased) or instead "progressive" relative to his principal. I show how the answer depends on the political system in general, and the majority requirement in particular. A larger majority requirement leads to conservative delegation, but "sincere" delegation is always achieved by the optimal voting rule.Strategic delegation, collective decisions, voting rules
Klipsun Magazine, 2016 - Winter
There exists a value intrinsic to the decisions and actions that we make. A force to promote change and move us forward, into the future.
Decisions lead to acts lead to events and events shape our views of the world. Our frame of reference expands and we are within the human experience.
Please, take a moment and a deep breath. May you be delivered, now and always, to a sense of purpose.https://cedar.wwu.edu/klipsun_magazine/1185/thumbnail.jp
Klipsun Magazine, 2016, Volume 46, Issue 03 - Spring
The flowering cherry tree has long symbolized the cyclical nature of life and death. Its blossoms arrive in the spring, delivering their beauty for only a short time. There is a transcendent quality to them, a sense of magic. The Japanese tradition of Hanami has celebrated these trees for more than a millennium and invites people to leave their home or workplace to admire the blossoms and watch them fall. This act is one of honor and regard for the ephemerality of life. It is a practice calling for recognition that as all things begin, thus they too shall end. The trees and the tradition they foster represent the fleetingness of life – nature’s one true promise.https://cedar.wwu.edu/klipsun_magazine/1248/thumbnail.jp
Adaptive Regret Minimization in Bounded-Memory Games
Online learning algorithms that minimize regret provide strong guarantees in
situations that involve repeatedly making decisions in an uncertain
environment, e.g. a driver deciding what route to drive to work every day.
While regret minimization has been extensively studied in repeated games, we
study regret minimization for a richer class of games called bounded memory
games. In each round of a two-player bounded memory-m game, both players
simultaneously play an action, observe an outcome and receive a reward. The
reward may depend on the last m outcomes as well as the actions of the players
in the current round. The standard notion of regret for repeated games is no
longer suitable because actions and rewards can depend on the history of play.
To account for this generality, we introduce the notion of k-adaptive regret,
which compares the reward obtained by playing actions prescribed by the
algorithm against a hypothetical k-adaptive adversary with the reward obtained
by the best expert in hindsight against the same adversary. Roughly, a
hypothetical k-adaptive adversary adapts her strategy to the defender's actions
exactly as the real adversary would within each window of k rounds. Our
definition is parametrized by a set of experts, which can include both fixed
and adaptive defender strategies.
We investigate the inherent complexity of and design algorithms for adaptive
regret minimization in bounded memory games of perfect and imperfect
information. We prove a hardness result showing that, with imperfect
information, any k-adaptive regret minimizing algorithm (with fixed strategies
as experts) must be inefficient unless NP=RP even when playing against an
oblivious adversary. In contrast, for bounded memory games of perfect and
imperfect information we present approximate 0-adaptive regret minimization
algorithms against an oblivious adversary running in time n^{O(1)}.Comment: Full Version. GameSec 2013 (Invited Paper
Optimal Depth, Very Small Size Circuits for Symmetrical Functions in AC0
AbstractIt is well known which symmetric Boolean functions can be computed by constant depth, polynomial size, unbounded fan-in circuits, i.e., which are contained in the complexity class AC0. This result is sharpened. Symmetric Boolean functions in AC0 can be computed by unbounded fan-in circuits with the following properties. If the optimal depth of AC0-circuits is d, the depth is at most d + 2, the number of wires is almost linear, namely n logO(1)n, and the number of gates is subpolynomial (but superpolylogarithmic), namely 2O(logδn) for some δ < 1
A New Approximate Min-Max Theorem with Applications in Cryptography
We propose a novel proof technique that can be applied to attack a broad
class of problems in computational complexity, when switching the order of
universal and existential quantifiers is helpful. Our approach combines the
standard min-max theorem and convex approximation techniques, offering
quantitative improvements over the standard way of using min-max theorems as
well as more concise and elegant proofs
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