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Earth system models must predict forest responses to global change in order to simulate future global climate, hydrology, and ecosystem dynamics. These models are increasingly adopting vegetation demo...
In this talk I will introduce some basic concepts in higher category and some details of the construction in the first talk. I will introduce crossed modules and the example of strict 2-representation...
Along with the rapid development of artificial intelligence (AI) technology, scientific research enters a new era of AI. Topology optimization (TO) and AI technology are recently showing a growing tre...
著名数学家Peter Lax 在1968年将重要的非线性数学物理方程---KdV方程表示为一个算子方程, 即给出了KdV方程的Lax表示或Lax对。Lax对在孤立子理论的发展中扮演者重要角色,可以看成是研究可积系统的出发点。但如何构造一个给定非线性系统的Lax表示却是非常困难的问题。本报告在概述Lax表示历史的基础上,以Boris Kupershmidt提出的两个非线性发展型方程为具体例子,介绍L...
Can we Beat the Square Root Bound for ECDLP over Fp2 via Representations?     ECDLP  Square Root Bound       font style='font-size:12px;'> 2019/7/15
We give a 4-list algorithm for solving the Elliptic Curve Discrete Logarithm (ECDLP) over some quadratic field Fp2Fp2. Using the representation technique, we reduce ECDLP to a multivariate polynomial ...
Faster cofactorization with ECM using mixed representations     factoring  Elliptic Curve Method  cofactorization       font style='font-size:12px;'> 2018/7/16
This paper introduces a novel implementation of the elliptic curve factoring method specifically designed for medium-size integers such as those arising by billions in the cofactorization step of the ...
We learn language from our social environment. In general, the more sources we have, the less informative each of them is, and the less weight we should assign it. If this is the case, people who inte...
Expressive Power of Abstract Meaning Representations     Abstract  grammatical meaning  system  translation  logic  current definition       font style='font-size:12px;'> 2016/10/31
The syntax of abstract meaning representations (AMRs) can be defined recursively, and a systematic translation to first-order logic (FOL) can be specified, including a proper treatment of negation. AM...
Despite the now-ubiquitous two-dimensional (2D) maps, photorealistic three-dimensional (3D) representations of cities (e.g., Google Earth) have gained much attention by scientists and public users as ...
While neuroscientists often characterize brain activity as representational, many philosophers have construed these accounts as just theorists’ glosses on the mechanism. Moreover, philosophical discus...
Reflexive,Symmetric and Transitive Scientific Representations     Reflexive  Symmetric  Transitive Scientific       font style='font-size:12px;'> 2016/5/31
Theories of scientific representation, following Chakravartty's categorization, are divided into two groups. Whereas cognitive-functional views emphasize agents' intentions, informational theories str...
Scientific Representations as Limiting Cases     scientific representation  idealization  abstraction  scientific models       font style='font-size:12px;'> 2016/5/30
In this essay, I shall show that the so-called inferential (Suárez 2003 and 2004) and interpretational (Contessa 2007) accounts of scientific representation are respectively unsatisfactory and too wea...
Many type inference and program analysis systems include notions of subtyping and parametric polymorphism. When used together, these two features induce equivalences that allow types to be simpli ed b...
Optimal Representations of Polymorphic Types with Subtyping     types  polymorphism  subtyping       font style='font-size:12px;'> 2016/5/24
Many type inference and program analysis systems include notions of subtyping and parametric polymorphism. When used together, these two features induce equivalences that allow types to be simpli ed b...
Although toddlers in their 2nd year of life generally have phonologically detailed representations of words, a consistent lack of sensitivity to certain kinds of phonological changes has been reported...

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