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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Learning Quantum Observables of Low Degrees from a Logarithmic Number of Random Queries
对数 随机查询 低次量子 可观察量
2023/4/14
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Density of orbits and arithmetic degrees of automorphisms of projective threefolds
射影三重 轨道密度 自同构 算术度
2023/4/18
The Zariski dense orbit conjecture of the arithmetic dynamic is to study the existence of a rational point P with a Zariski dense orbit of a dominant rational self-map f of a projective variety X. Whe...
A strong form of Arnold diffusion for two and a half degrees of freedom
Arnold diffusion two and a half degrees of freedom
2015/9/25
A strong form of Arnold diffusion for two and a half degrees of freedom.
Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom
fast diffusion non-convex Hamiltonians two degrees of freedom
2015/9/25
In this paper, we study small perturbations of a class of non-convex integrable Hamiltonians with two degrees offreedom, and we prove a result of diffusion for an open and dense set of perturbations, ...
Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders
Arnold diffusion arbitrary degrees of freedom crumpled 3-dimensional hyperbolic invariant cylinders
2015/9/25
Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders.
ON THE “DEGREES OF FREEDOM” OF THE LASSO
Degrees of freedom LARS algorithm lasso model selection SURE unbiased estimate
2015/8/21
We study the effective degrees of freedom of the lasso in the framework of Stein’s unbiased risk estimation (SURE). We show that the number of nonzero coefficients is an unbiased estimate for the degr...
A SEQUENTIAL IMPORTANCE SAMPLING ALGORITHM FOR GENERATING RANDOM GRAPHS WITH PRESCRIBED DEGREES
Sequential sampling algorithms the random graph degree
2015/7/8
A SEQUENTIAL IMPORTANCE SAMPLING ALGORITHM FOR GENERATING RANDOM GRAPHS WITH PRESCRIBED DEGREES。
A BOX-COUNTING METHOD TO CHARACTERIZE DEGREES OF FOLIAGE CLUMPING USING AIRBORNE AND SIMULATED LIDAR DATA
LiDAR leaf area index foliage clumping
2015/5/7
Monitoring forest productivity and health is key to sustainable ecosystem management and informed decision making. A key parameter used in monitoring forest resources is the leaf area index (LAI), w...
A modelling study from an international collaboration involving German, Canadian and Australian scientists has concluded that increasing global temperatures to 2 degrees above pre-industrial global te...
Weights and degrees in a random graph model based on 3-interactions
Martingale random graph preferential attachment scale-free property
2012/6/19
In a random graph model based on 3-interactions we give the joint asymptotic distribution of weights and degrees and prove scale-free property for the model. Moreover, we determine the asymptotics of ...
"Quantization" of higher hamiltonian analogues of the Painleve I and Painleve II equations with two degrees of freedom
Quantization higher hamiltonian analogues Painleve I Painleve II equations Exactly Solvable and Integrable Systems
2012/4/27
We construct a solution of an analog of the Schr\"{o}dinger equation for the Hamiltonian $ H_I (z, t, q_1, q_2, p_1, p_2) $ corresponding to the second equation $P_1^2$ in the Painleve I hierarchy. Th...
Poincare duality and degrees of twisted Alexander polynomials
twisted Alexander polynomial Reidemeister torsion duality
2011/9/9
Abstract: We prove duality theorems for twisted Reidemeister torsions and twisted Alexander polynomials generalizing the results of Turaev. As a corollary we determine the parity of the degrees of twi...
Different Degrees of Partial Melting of the Enriched Mantle Source for Plio−Quaternary Basic Volcanism, Toprakkale (Osmaniye) Region, Southern Turkey
earth siences toprakkale features
2011/3/22
The Toprakkale (Osmaniye) region, located in the Yumurtalık fault zone in southern Turkey, contains Quaternary volcanic rocks, shown by their mineralogical and petrographical features to be alkal...
DEGREES OF PERIODS
DEGREES OF PERIODS
2018/4/19
We introduce the concept of degree to classify the periods in the sense of Kontsevich.Using this notion we give some new understanding of some problems in transcendentalnumber theory.
Aligned Interference Neutralization and the Degrees of Freedom of the 2x2x2 Interference Channel
Aligned Interference Neutralization Degrees of Freedom 2x2x2 Interference Channel
2011/1/20
We show that the 2 2 2 interference network, i.e., the multihop interference network formed by concatenation of two 2-user interference channels achieves the min-cut outer bound value of 2 DoF, fo...