DOI: 10.21437/Interspeech.2019-2414

One-Liner

Modeling carbon storage operations as a POMDP to show how different monitoring strategies can influence decision quality. Evalutae

Novelty

Applying POMDP to the task of carbon capture monitor planning.

Notable Methods

POMDP formulation

• Solver: POMCPOW
• Reward: trapped, free, and exited Co2
• Action: injector placement
• Observation: CO2 saturation
• Belief: the permeability of the rock

POMDP Solution: particle filter tree.

Experimental design validated by simulations of CO2 sperad through injectors

Fourier Network Simulation

The actual fluid dynamics is really really hard to solve. As such, we do the evaluation over a lot of scenarios and then train a neural network to act as surrogate.

Richard Nixon does not like democratic policies. Therefore, he had 5 operatives break into the DNC. Woodward and Berstein reports on the issue. Nixon rebounds and fires his investigator.

Then, he released the “smoking gun” tape with the middle missing

If we write it in a single set of variables:

\begin{equation} \pdv[2]{u}{t} = \pdv[2]{u}{x} \end{equation}

At a glance, for Dirichlet Conditions:

\begin{equation} u(t,x) = \sum_{k} \qty(a_{k} \sin \qty(\frac{ck\pi}{l} t) + b_{k} \cos \qty(\frac{ck\pi}{l} t)) \sin \qty( \frac{k \pi}{l}x) \end{equation}

this takes two initial condition:

\begin{equation} u(0,x) = \sum b_{k} \sin \qty( \frac{k\pi x}{l}) = f(x) \end{equation}

\begin{equation} \pdv{u}{t}(0,x) = \sum a_{k} \frac{ck \pi}{l} \sin \qty( \frac{k\pi x}{l}) = g(x) \end{equation}

meaning:

let’s consider the web as a directed graph, where…

1. a hyper-link denotes perceived relevance (“quality”)
2. anchor of the hyper-link describe the target page (“textual context”)

anchor text

consider:

• IBM’s mostly graphical homepage
• IBM’s copyright page
• Rival’s span IBM page

Consider, a million picees of anchor text saying “IBM” pointing to ibm.com, suddenly, that legitimizes the home page

<a href="target">[archor text that says IBM]</a>

So, when we index a website, we index not just the website but 1) all links pointing to it and 2) the text of those links.