This lecture will cover data summarization and visualization tools such as kernel estimation, loess, scatterplot and dimension reduction via principal component analysis (PCA). Specific data examples will be used.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This lecture will generalize LS to weighted LS (WLS) and use WLS to connect with generalized linear models including logistic regression. Remote sensing data for cloud detection will be used.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This lecture reviews least squares (LS) method for linear fitting and its statistical properites under various linear regression model assumptions. Methods will be illustrated with real data examples from instructor's research projects.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
LS and Maximum Likelihood estimation (MLE) overfit when the dimension of the model is not small relative to the sample size. This happens almost always in high-dimensions. Regularziation often works by adding a penalty to the fitting criterion as in classical model selection methods such as AIC or BIC and L1-penalized LS called Lasso. We will al...
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This lectures will cover two related L2-penalized regularization methods: Ridge Regression and SVM, one from the 40's and one from the 90's. And SVM is one of the two most successful machine learning methods together with Boosting.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, I'd like to discuss the intertwining importance and connections of three principles of data science in the title in data-driven decisions. The ultimate importance of prediction lies in the fact that future holds the unique and possibly the only purpose of all human activities, in business, education, research, and government alike....
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2016-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In recent years network analysis have become the focus of muchresearch in many fields including biology, communication studies, economics, information science, organizational studies, and social psychology. Communities or clusters of highly connected actors form an essential feature in the structure of several empirical networks. Spectral cluste...
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2011-09-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This lecture will illustrate the power of the sparse coding principle and low-rank regularization in modeling neuron responses to natural images in the very challenging visual cortex area V4.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
JD.com sets the standard for online shopping through its commitment to quality, authenticity, and its high standard delivery services. JD's nationwide fulfillment network provides standard same- and next-day delivery covering a population of more than 1 billion. This talk will discuss the latest development of the the key methodologies and algor...
Creator:
Yuan, Rong (JD.COM)
Created:
2018-12-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Stochastic viral dynamics modeled by stochastic differential equations with Beddington-DeAngelis functional response and rates driven by white noise will be presented. The stochastic positive invariance and the existence of stationary distribution are proved. Through estimation of the pathwise and asymptotic moment upper bounds, the moment Lyapu...
Creator:
You, Yuncheng (University of South Florida)
Created:
2016-06-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Membrane fluctuation and dynamics under an electric field is investigated, and results show that the membrane instability and dynamics depend not only on the mismatch in conductivity and permittivity between the bulk fluids, but also on the membrane charging time. In addition, the (entropic) membrane tension is found to depend on the electric fi...
Creator:
Young, Yuan-Nan (New Jersey Institute of Technology)
Created:
2015-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
(1) interaction of molecular diffusion with simpleunidirectional shear flows (bounded and unbounded domains).(2) Limitation of the effective diffusion approximation tolong times and small domains, and low moments of the tracerdistribution.(3) Perhaps a geophysical example: shear diffusion in theinternal gravity wave field. The vertical tracer ca...
Creator:
Young, William Roy (Scripps Research Institute)
Created:
2010-04-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A $k$-term arithmetic progression is a sequence of the form $a, a+d, a+2d, ... , a+(k-1)d$, where $a$ and $d$ are nonegative integers. Van der Waerden's Theorem states that given a set of colors there exists an interval $[1,n]$ such that any coloring of the integers, using all the colors, will contain a $k$-term arithmetic progression with each ...
Creator:
Young, Michael (Iowa State University)
Created:
2015-03-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
![[Map of timber land in Western Canada] : to accompany paper on the timber belt of northern Alberta and Saskatchewan and the Northwest Territories west of Hudson Bay](https://dkp5i0hinw9br.cloudfront.net/407a7689b4948662dcb7217004161efcb04c3893.png "[Map of timber land in Western Canada] : to accompany paper on the timber belt of northern Alberta and Saskatchewan and the Northwest Territories west of Hudson Bay")
