Linear algebra is the math at the core of statistics, data science, and other quantitative areas. This 600-page textbook will teach you everything you need to know, from equations to intuition to visualization to code!
We're optimistic that we can hold in-person summer schools this summer!
2020 had many ups and downs. Here in the SINS lab, we managed to get several publications out. Check out the lastest!
Brief descriptions
”Response conflict” is the feeling you have when you are about to walk into another person and don’t know whether you should go left or right. We study the unique signature in human EEG of response conflict, which is termed ”midfrontal theta.”
What neural circuit mechanisms produce midfrontal theta and conflict computations? This is an important question, yet has no good answer. We use high-density multisite and multiarea electrophysiology in combination with optogenetics and electrical microstimulation (in rodents) to discover circuit mechanisms of frontal theta. These findings are integrated with biophysical computational models.
We use large-scale electrophysiology and optogenetics in Th:Cre rats to understand how optically indiced phasic up/down-regulation of dopamine regulates synchronization in PFC-striatal-VTA circuits.
Neuroscience is awash with data analysis methods, yet many methods lack rigorous testing of parameter ranges and violations of key assumptions in empirical data. We simulate EEG and LFP data to evaluate existing, and develop new, cutting-edge analysis methods. Simulations are useful because they maximize control over signal and noise characteristics.
20 hours of clear explanations of concepts linear algebra, including vectors, matrix multiplications, least-squares projections, eigendecomposition, and singular value decomposition. The course has a strong focus on modern applications-oriented aspects of linear algebra. MATLAB and Python codes are included.
Learn the theoretical and computational bases of the Fourier transform, and its implementation in modern applications in digital signal processing, data analysis, and image filtering. The course covers the basics and also advanced topics including effects of non-stationarities, spectral resolution, normalization, filtering. MATLAB and Python codes are included.
40 hours of guided instruction on problem-solving in MATLAB. This course is optimized for beginners with some programming experience who want to take their skills from noob to intermediate and advanced levels.
The purpose of this course is to teach you some matrix-based data analysis methods in neural time series data, with a focus on multivariate dimensionality reduction and source-separation methods. The course is mathematically rigorous but is approachable to individuals with no formal mathematics background.
