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power utility

Last edited: August 8, 2025

power utility, or isoelastic utility, is a financial econometric is a utility that results absolute, constant relative risk aversion. i.e.: you tell me how risk averse you are exogenously, I tell you how much utility some consumption is.

constituents

  • some relative risk coefficient \(\gamma \in (0,1)\), higher more risk averse
  • consumption of some asset \(C\)

requirements

Utility \(U( C)\) is defined by:

\begin{equation} U( C) = \frac{c^{1-\gamma}-1}{1-\gamma} \end{equation}

additional information

As you can see, the higher \(\gamma\), the lower utility some consumption brings.

predicates, properties, and relations

Last edited: August 8, 2025

a predicate or a property is a function whose range is true/false.

a relation is a property whose domain is a set of \(k\) tuples, which we call a $k$-ary relation.

preemption

Last edited: August 8, 2025

We use interrupts to implement preemption, “preempting” threads in order to swap on another thread to CPU. This enables scheduling to happen.

preempting into a brand new thread

IMPORTANT: because interrupts are disabled at the beginning of the interrupt handler, and re-enabled by the end, new threads (which starts not at the interrupt handle) will not re-enable interrupts.


void interrupt_handler() {
    /* disables interupts, automatically by timer handler */

    // future spawns start here
    context_switch(...);

    /* enables interupts, automatically by timer handler */
}

void threadfunc_wrapper() {
    // manually enable interrupts before first run
    intr_enable(true);
    // start thread's actual business
    threadfunc();
}

Presentations

Last edited: August 8, 2025

Goal: minimize cognitive load for the audience to communicate your ideas. Running examples tend to be good helpful for people.

resist the urge to tell people too much

reasonable checklist

  • time
  • prior knowledge
  • av constraints

notice: unrelated text could be subdued.

Mykel’s Research Tips

  1. don’t jump directly to an outline (open with something)
  2. number the slides
  3. try to have some humor

Some techniques

  • To emphasize a single idea, put them in isolation in a single sentence
  • Introduce naive solutions, then show how your solution is better
  • Iteratively build up the problem while showing what’s hard

Pretraining Long Transformers

Last edited: August 8, 2025

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