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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Real-time tool path planning using deep learning for subtractive manufacturing
深度学习 减材制造 实时刀具 路径规划
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2023/4/25
A path model for geodesics in Euclidean buildings and its applications to representation theory
path model for geodesics Euclidean buildings representation theory
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2015/10/14
In this paper we give a combinatorial characterization of projections ofgeodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of complex reductive Lie ...
SAMPLE PATH PROPERIES OF RANDOM TRANSFORMATIONS
TRANSFORMATIONS SAMPLE PATH PROPERIES
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2015/9/29
In other words where is the boundary between truly random and
almost deterministic behavior? I believe that very little randomness
is needed. For example consider the following model. Let f1 : : : f...
PATH METHODS FOR STRONG SHIFT EQUIVALENCE OF POSITIVE MATRICES
PATH METHODS STRONG SHIFT EQUIVALENCE POSITIVE MATRICES
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2015/9/29
In the early 1990’s, Kim and Roush developed path methods for establishing strong shift equivalence (SSE) of positive matrices over a dense subring U of R. This paper gives a detailed, unified and gen...
SAMPLE PATH PROPERTIES OF THE STOCHASTIC FLOWS
STOCHASTIC FLOWS PATH PROPERTIES
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2015/9/29
We consider a stochastic flow driven by a finite-dimensional Brownian
motion. We show that almost every realization of such a flow exhibits strong
statistical properties such as th...
Multicorns are not path connected
Multicorns not path connected
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2015/8/26
The tricorn is the connectedness locus in the space of antiholomorphic quadratic polynomials z 7! z2 + c. We prove that the tricorn is not locally connected and not even pathwise connected, confirming...
Boosting as a Regularized Path to a Maximum Margin Classifier
boosting regularized optimization support vector machines margin maximization
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2015/8/21
In this paper we study boosting methods from a new perspective. We build on recent work by Efron et al. to show that boosting approximately (and in some cases exactly) minimizes its loss criterion wit...
The Entire Regularization Path for the Support Vector Machine
Entire Regularization Path Support Vector Machine
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2015/8/21
In this paper we argue that the choice of the SVM cost parameter can be critical. We then derive an algorithm that can fit the entire path of SVM solutions for every value of the cost parameter, with ...
L1-regularization path algorithm for generalized linear models
Generalized linear model Lasso Path algorithm Predictor–corrector method Regularization Variable selection
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2015/8/21
We introduce a path following algorithm for L1-regularized generalized linear models. The L 1-regularization procedure is useful especially because it, in effect, selects variables according to the am...
Fastest mixing Markov chain on a path
Random walks symmetrical transition probability markov chain the uniform distribution the transfer matrix
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2015/8/10
We consider a random walk on a path with n nodes, with symmetric transition probabilities, i.e., the probability of making a transition between node i and node i+1 is the same as making a transition f...
Fastest mixing Markov chain on a path
Distribution probability the edge markov chain random walk
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2015/7/8
We consider the problem of assigning transition probabilities to the edges of a path, so the resulting Markov chain or random walk mixes as rapidly as possible. In this note we prove that fastest mixi...
Local Coordinates on Formal Path
Local Coordinates Formal Path
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2015/4/3
Local Coordinates on Formal Path.
Counterfactual Graphical Models for Mediation Analysis via Path-Specific Effects
Counterfactual Graphical Models Mediation Analysis Path-Specific Effects Statistics Theory
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2012/5/24
Potential outcome counterfactuals represent variation in the outcome of interest after a hypothetical treatment or intervention is performed. Causal graphical models are a concise, intuitive way of re...
Interpolation of Parametric CNC Machining Path Under Confined Jounce
Interpolation velocity planning confined jounce time-optimal parametric curve vibration high-precision CNC machining
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2013/9/9
Aiming at reducing the CNC machining vibration and increasing machining quality, an interpolation method for parametric tool paths with confined jounce, jerk, acceleration, and speed is proposed. An a...
The vanishing of L2 harmonic one-forms on based path spaces
L2 cohomology Hodge decomposition L2 harmonic forms path space Banach manifold Wiener measure
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2012/4/17
We prove the triviality of the first L2 cohomology class of based path spaces of Riemannian manifolds furnished with Brownian motion measure, and the consequent vanishing of L2 harmonic one-forms. We ...