On the Stanford University Department of Statistics website, find all 'Professor' faculty members whose research area includes 'information theory'. For each identified professor, list their full name and all their stated research areas.
Navigate to the 'Faculty' page under the 'People' section. Locate the 'Filter by research area' combobox (ID 404). Select 'information theory' from the 'Filter by research area' combobox. Click the 'submit' button (ID 490 or 491) to apply the filter. For each 'Professor' listed after filtering, extract their full name and all associated research areas.
Successfully navigate to the 'Faculty' page. Correctly apply the 'information theory' filter using the combobox and submit button. List the full name of every 'Professor' whose research includes 'information theory' after filtering. For each identified professor, accurately list all their stated research areas, not just 'information theory'. The listed professors and their research areas are: Emmanuel J. Candès (harmonic analysis, high-dimensional statistics, signal processing, information theory), Amir Dembo (probability theory, information theory, stochastic processes), and John Duchi (machine learning, optimization, statistics, information theory).