_index.org

relax and round

Last edited: February 2, 2026

In convex optimization, relax and round / polishing is a procedure by which you perform a local search after coming up with a relaxation, and round into the actual feasible set (such as integers).

Relaxed Experiment Design

Last edited: February 2, 2026

experiment design problem, but such that we ignore that \(m \lambda_{k}\) are integers.

SU-SOC175 FEB112026

Last edited: February 2, 2026

New Model

China would need to shift to new growth model… Since 1980, it relied on:

  1. mobilization on two mechanisms
  2. shift in control of resources to state to private

There may be thus diminishing returns.

a new growth model

  • China’s capacity outstrips global demand
  • incomes no longerr rising as rapidly
  • foreign direct investment is slowing

Expansion of credit

China bank access accounts for a large percentage of global GDP; thus bad debt can accumulate and hurt. Banks is thus driving the infrastructure drive via credit. Credit growth comes up, GDP growdth comes down; bad state! Yet, almost 20% of enterprises are loosing money.

supervised learning

Last edited: February 2, 2026

Supervised learning (also known as behavioral cloning) if the agent is learning what to do in an observe-act cycle) is a type of decision making method.

constituents

  • input space: \(\mathcal{X}\)
  • output space: \(\mathcal{Y}\)
  • hypothesis/model/prediction: \(h : \mathcal{X} \to \mathcal{Y}\)

requirements

Our ultimate goal is to learn a good model \(h\) from the training set:

  • what “good” means is hard to define
  • we generally want to use the model on new data, not just the training set

continuous \(\mathcal{Y}\) is then called a regression problem; discrete \(\mathcal{Y}\) is called a classification problem.