Two buzzwords. What do they mean?
To me, BPE is all about changing the way the organization uses its resources; seeking to improve efficiency, cost, quality, and time. It generally uses IT but IT is not the only tool it uses. Other tools that BPE uses include: re-organization, training, and good internal communications and programs. This is my favorite topic, and I think the most important one for business: How are we using our resources and how can we better use them through the adoption of technology.
Business Intelligence to me seems way more vague and stupid than BPE. One way to look at BI is through the lens of Six Sigma: Define, Measure, Analyze, Improve, Control. I think that BI is about Defining systems that create Measurements and then Analyzing what's going on in the hopes that the system can be Improved and Controlled. BI gets into designing measurable systems so they can be controlled. That's all.
