Packet 11: Bonus 5
Candidate choices for this parameter are rejected until the Armijo condition is met in a standard implementation of backtracking line search. For 10 points each:
[10m] Name this parameter that varies in adaptive approaches like Adam and RMSprop. In a popular method, xt+1 (“x-sub-t plus one”) equals xt (“x-sub-t”) minus the product of this scalar parameter and a vector-valued function evaluated at xt (“x-sub-t”).
ANSWER: step size [or learning rate; prompt on eta or alpha]
[10e] That descent method is named for this operation, which gives the vector of a function’s partial derivatives.
ANSWER: gradient [or grad; accept gradient descent]
[10h] Adam combines RMSProp with this broad idea, which uses past gradients to inform the size of the current update. Nesterov’s accelerated gradient descent uses a form of this idea based on a look-ahead value of the gradient.
ANSWER: momentum
<TM, Other Science (Math)> | NAFTA-Packet-11
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 8 | 16.25 | 88% | 50% | 25% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| You Don't Have the Cards | Strange Case of Dr. Joker and Mr. Pennywise | 10 | 10 | 10 | 30 | MEH |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| 2025 NAFTA Online | 02/14/2026 | ✕ | 4 | 7.50 | 75% | 0% | 0% |
| 2026 NAFTA at Vanderbilt | 02/14/2026 | ✕ | 1 | 10.00 | 100% | 0% | 0% |
| 2025 NAFTA at Toronto | 09/13/2025 | ✓ | 1 | 30.00 | 100% | 100% | 100% |
| 2025 NAFTA at Maryland | 09/27/2025 | ✓ | 1 | 20.00 | 100% | 0% | 100% |
| 2025 NAFTA at Chicago | 11/08/2025 | ✓ | 6 | 13.33 | 83% | 50% | 0% |