Elimination Matricies can be used to derive a LU factorization:

First, this gives an upper triangular matrix

\begin{equation} U = M_{n-1, n-1} \dots M_{22} M_{11} A \end{equation}

We can also create the inverses of each of these:

\begin{equation} A = L_{11} L_{22} \dots L_{n-1,n-1} \cdot M_{n-1,n-1} \dots M_{22} \cdot M_{11} \cdot A \end{equation}

The first half \(L_{j}\) composes a lower triangular matrix; the second half \(M_{j}\) which composes a upper triangular matrix.

LucCage is a platform as a biosensor: a case whose binding domain could be changed to fit specific applications

DOI: 10.1101/2021.03.24.21254263

One-Liner

Review paper presenting the \(ADReSS_o\) challenge and current baselines for three tasks

Notes

Three tasks + state of the art:

• Classification of AD: accuracy \(78.87\%\)
• Prediction of MMSE score: RMSE \(5.28\)
• Prediction of cognitive decline: accuracy \(68.75\%\)

Task 1

AD classification baseline established by decision tree with late fusion

(LOOCV and test)

Task 2

MMSE score prediction baseline established by grid search on parameters.

SVR did best on both counts; results from either model are averaged for prediction.

Seed: walking, loving

• Walking

• Skipping

• Shoes

• Road

• Running

• Forward

• Speed

• Plane

• Travel

• Unique

• Cold

• House

• Loving

• Cuddling

• Kissing

• Holding

• Together

• Staring

• Longing

• Establish

• Spending time

• Waving

• Welling

Walking together, staring forward longing you

Loving together, skipping forward, a cold house

Cuddling down the avenue, spending time there, Waving by

Establish what it’s like,

Seed: explore, wild

• explore

• learn

• resources

• mineral

• detail

• feature

• fact

• police

• duty

• particulars

• deposit

• assign

• undertake

• natural

• environment

• cultivate

• region

• harshly

• untrusting

• nervous

• increasing

• changing

• period

• become greater

We go explore, changing times, parting ways.

Wanting no praise, become greater Than ever

We go explore, shining lights moving stars

Finding no target, we cannot expect to see

How can we explore if we can’t even feed? Ourselves? Our families? Our digitaries?