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What is the Kronecker product of matrices A and B?

Turn each entry in A into a_ij * B .

What do you call the operation between matrices A and B where each entry in A becomes a_ij * B?

The Kronecker product

What is Jensen's inequality?

The mean value of a convex function is never lower than the value of the convex function applied to the mean

What is the name of the following fact: "The mean value of a convex function is never lower than the value of the convex function applied to the mean"?

Jensen's inequality

"Many people working on network pruning observed that, starting from a wide network and pruning it, one obtains better performance than training the slim, pruned architecture from scratch (random initialization).

According to the BLANK, good performance results from lucky initialization of a subnetwork or subcomponent of the original network. Since fat networks have exponentially more component subnetworks, starting from a fatter network increases the effective number of lottery tickets, thereby increasing the chances of containing a winning ticket. According to this hypothesis, pruning effectively identifies the subcomponent which is the winning ticket."

lottery ticket hypothesis

What is a dilated convolution?

In a regular convolution, the kernel is applied at every position. In dilated convolutions, we apply the kernel only every l steps. This means that as you add layers, the receptive field of upper units increases in size exponentially with depth instead of linearly.

A linear map from V to W is a function T : V → W with the following properties:

BLANK

homogeneity

T (av) = aT(v) for all a ∈ F and all v ∈ V

A linear map from V to W is a function T : V → W with the following properties:

additivity

T(u + v) = T(u) + T(v) for all u, v ∈ V;

homogeneity

T (av) = aT(v) for all a ∈ F and all v ∈ V

A linear map from V to W is a function T : V → W with the following properties:

additivity

T(u + v) = T(u) + T(v) for all u, v ∈ V;

BLANK

A linear map from V to W is a function T : V → W with the following properties:

additivity

T(u + v) = T(u) + T(v) for all u, v ∈ V;

homogeneity

T (av) = aT(v) for all a ∈ F and all v ∈ V

A BLANK from V to W is a function T : V → W with the following properties:

additivity

T(u + v) = T(u) + T(v) for all u, v ∈ V;

homogeneity

T (av) = aT(v) for all a ∈ F and all v ∈ V

A linear map from V to W is a function T : V → W with the following properties:

additivity

T(u + v) = T(u) + T(v) for all u, v ∈ V;

homogeneity

T (av) = aT(v) for all a ∈ F and all v ∈ V

Is the composition of linear maps associative?

Yes

Is the composition of linear maps distributive?

Yes

Is the composition of linear maps commutative?

No (consider "multiply by x^2" and "differentiate")

The BLANK of a linear map from X->Y is the sub-space of X which is mapped to 0.

The null space of a linear map from X->Y is the sub-space of X which is mapped to 0.

The null space of a linear map from X->Y is the BLANK

The null space of a linear map from X->Y is the sub-space of X which is mapped to 0.

`tar BLANK file` will extract a file regardless of if it is compressed or not

`tar -xf file` will extract a file regardless of if it is compressed or not

D&D 5: For a spell-caster, the number of spellings you can have prepared is ...

your class ability modifier plus your level in that class

D&D 5: The saving throw DC for a spell is....

8 + caster's proficiency bonus + caster's class stat

D&D 5: class stat for Cleric

Wisdom

D&D 5: Once you gain a domain spell, ...

you always have it prepared, and it doesn’t count against the

number of spells you can prepare each day.

D&D 5: A turned creature must spend its turns trying to [BLANK] , and it can’t willingly move to a space within [BLANK] feet of you. It also can’t take [BLANK[. For its action, it can use only the [BLANK] action or try to escape from an effect that prevents it from moving. If there’s nowhere to move, the creature can use the [BLANK] action.

D&D 5: A turned creature must spend its turns trying to move as far away from you as it can, and it can’t willingly move to a space within 30 feet of you. It also can’t take reactions. For its action, it can use only the Dash action or try to escape from an effect that prevents it from moving. If there’s nowhere to move, the creature can use the Dodge action.

D&D 5: The fighter's protection ability is....

Protection

When a creature you can see attacks a target other

than you that is within 5 feet of you, you can use your

reaction to impose disadvantage on the attack roll. You

must be wielding a shield.

D&D 5: The fighter's second wind ability is...

Second Wind

You have a limited well of stamina that you can draw on

to protect yourself from harm. On your turn, you can use

a bonus action to regain hit points equal to 1d10 + your

fighter level.

Once you use this feature, you must finish a short or

long rest before you can use it again.

D& D 5: What is the fighter's action surge ability which they gain at level 2?

Action Surge

Starting at 2nd level, you can push yourself beyond your normal limits for a moment. On your turn, you can take one additional action on top of your regular action and a possible bonus action.

D& D 5: What must a fighter do before they can use the Action Surge ability a second time?

Take a short or long rest.

D&D 5: At the second level, the Rogue gains the cunning action ability, which gives them a bonus action on each combat turn which allows them to do which three actions?

Dash, disengage, or hide

D&D 5: The Rogue has the sneak attach ability, which allows them to deal extra damage on one attack per round if...

they have advantage on the attack and are attacking with a ranged or finesse weapon

D&D: When using the Sneak Attack ability, the Rogue does not need advantage f

there is a non-capacitated friendly player within 5 feet of the target and you don't have disadvantage don the attack

D&D: What is the attack modifier for a spell?

Proficiency bonus + relevant stat modifier