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A fundamental problem from computational learning theory is to well-reconstruct an unknown function on the discrete hypercubes. One classical result of this problem for the random query model is the l...
In this lecture, I will discuss how ``tilted interlacements’’ and ``solidification of porous surfaces’’, two specific realizations of the change-of-measure and coarse graining ideas respectively, prod...
近日,数学学院2019级硕士研究生舒希超收到了来自理论计算机领域顶级会议SODA(ACM-SIAM Symposium of Discrete Algorithms)的论文录用信。舒希超与美国罗德岛大学的韩杰研究员和山大数学学院的王光辉教授合作的论文《Non-linear Hamilton cycles in linear quasi-random hypergraphs》将发表在2021年1月的...
We consider random walks (RW) in a one-dimensional i.i.d. random environment with jumps to the nearest neighbours. For almost all environments, we prove a quenched Local Limit Theorem (LLT) for the...
The XOR-satisfiability (XORSAT) problem requires finding an assignment of n Boolean variables that satisfy m exclusive OR (XOR) clauses, whereby each clause constrains a subset of the variables. We co...
We present a deterministic approximation algorithm to compute logarithm of the number of ‘good’ truth assignments for a random k-satisfiability (k-SAT) formula in polynomial time (by ‘good’ we m...
Consider a collection of random variables attached to the vertices of a graph. The reconstruction problem requires to estimate one of them given ‘far away’ observations. Several theoretical results (a...
We present a simple and efficient algorithm for randomly generating simple graphs without small cycles. These graphs can be used to design high performance Low-Density Parity-Check (LDPC) codes. ...
Gibbs states and the set of solutions of random constraint satisfaction problems.
Let X1, . . . ,Xn be a collection of iid discrete random variables, and Y1, . . . , Ym a set of noisy observations of such variables. Assume each observation Ya to be a random function of some a rando...
ESTIMATING AND UNDERSTANDING EXPONENTIAL RANDOM GRAPH MODELS。
UNSEPARATED PAIRS AND FIXED POINTS IN RANDOM PERMUTATIONS。
This paper proposes a stochastic model to study the evolution of normal and excess weight population between 24 - 65 years old in the region of Valencia (Spain). An approximate solution process of the...
In this paper, we consider an allocation problem in multivariate surveys as a convex programming problem with non-linear objective functions and a single stochastic cost constraint. The stochastic con...

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