recursal/Fanatic-Fandom huggingface dataset:
Мультиномиальная модель

Пусть

x

{\displaystyle x}

 — объект из выборки

x
k

{\displaystyle x^k }

 — его

k

{\displaystyle k}

-й признак

Рассмотрим различные модели для классификации текстов. Объектами в данном случае являются документы.

## **Мультиномиальная модель**

В мультиномиальной модели, в отличие от модели Бернулли, учитывается количество вхождений каждого слова в документ.

Неплохое объяснение можно найти здесь (самое интересное с 5 слайда)

w
k

,
# k
1
,
2
,
.
.
.
,
D

{\displaystyle w\_k, k = 1, 2, ..., D}

 - все уникальные слова в корпусе

x
k

{\displaystyle x^k }

 — количество встреч слова

w
k

{\displaystyle w\_k}

 в документе

θ
y
k

{\displaystyle \theta\_y^k }

 — вероятность встречи слова

w
k

{\displaystyle w\_k}

 на словопозиции

y
^

(
x
# )

(1)

=

a
r
g
m
a
x

y

p
(
y

x
# )

a
r
g
m
a
x

y

p
(
y
)
p
(
x

y
# )

(2)

=

a
r
g
m
a
x

y

p
(
y
)

(

∑

# k
1

D

x
k

)
!

∏

# k
1

D

x
k

!

∏

# k
1

D

(

θ
y
k

)

x
k

=

a
r
g
m
a
x

y

ln
⁡

p
(
y
)

∑

# k
1

D

(

x
k

ln
⁡

θ
y
k

)

{\displaystyle
\begin{align}
\widehat{y}(x) = \textrm{(1)} = \underset{y}{argmax}\;p(y|x) = \underset{y}{argmax} \; p(y)p(x|y) = \\
\textrm{(2)} = \underset{y}{argmax}\; p(y) \frac{(\sum^D\_{k=1} x^k)!}{\prod^D\_{k=1} x^k!} \prod^D\_{k=1} (\theta\_y^k)^{x^k} = \\ \underset{y}{argmax} \; \ln{p(y)} + \sum^D\_{k=1}(x^k \ln{\theta\_y^k})
\end{align}
}

где

p
(
y
# )

N
y

N

,

θ
y
k

=

n

y
k

α

n
y

α
D

{\displaystyle p(y) = \frac{N\_y}{N},\;\theta\_y^k = \frac{n\_{yk} + \alpha}{n\_y + \alpha D}}

 — эмпирические оценки вероятностей

N
y

{\displaystyle N\_y}

 — Кол-во документов класса

y

{\displaystyle y}

n
y

{\displaystyle n\_y}

 — Всего слов в документах класса

y

{\displaystyle y}

n

y
k

{\displaystyle n\_{yk}}

 — Кол-во встреч слова

w
k

{\displaystyle w\_k}

 в документах класса

y

{\displaystyle y}

(1) — Байесовское правило максимальной апостериорной вероятности классов

(2) — Предположение "наивного Байеса"

## **Сглаживание вероятностей Лапласа**

α
≥
0

{\displaystyle \alpha\ge 0}

 — можно интерпретировать как добавление к выборке документа класса

y

{\displaystyle y}

, который содержит все слова

α

{\displaystyle \alpha}

 раз.

Добавление

α

{\displaystyle \alpha}

 называется аддитивным сглаживанием (сглаживанием Лапласа)

## **Мультиномиальная модель как линейный классификатор**

Мультиномиальная модель является линейным классификатором (из вида дискриминантной функции видно, что она зависит линейно от

x
k

{\displaystyle x^k }

)
Ядерное сглаживание для оценки плотности (теормин)

## Короче говоря...

Одним из непараметрических способов оценки плотности распределения является ядерное сглаживание (KDE). В отличие от метода гистограмм блоки (окна), по которым оценивается распределение, не фиксированы, а центрируются по точке-представителю.

Общая формула KDE (Kernel Density Estimation):

p
^

(
x

# i
1

N

K
(

x
−

x
i

h

)

N
h

{\displaystyle \hat{p}(x) = \frac{\sum\_{i=1}^N K(\frac{x - x\_i}{h})}{Nh} }

, где

K
(
u
)

{\displaystyle K(u) }

 — ядро,

h

{\displaystyle h}

 — ширина окна. Это два наиважнейших параметра метода. Выбор ядра в основном влияет на гладкость итогового распределения, но на точность аппроксимации намного большее влияние оказывает ширина окна, поэтому подбор данного параметра является важной и не всегда тривиальной задачей (прибегают к кросс-валидации, различным эвристикам или динамическому выбору ширины окна). Основное правило: чем плотнее выборочное распределение, тем уже должно быть окно.

Пример ядра:

K
(
u
# )

I
[

u

≤
1
]

2

{\displaystyle K(u) = \frac{I[|u| \le 1]}{2} }

 — tophat-ядро. Одно из простейших ядер, но не учитывает расстояние между объектами, а также итоговое распределение не будет являться непрерывным.

Говорят, что оценка

p
^

(
x
)

{\displaystyle \hat{p}(x)}

по методу KDE состоятельна, если

lim

N
→
∞

E
(
[

p
^

(
x
)
−
p
(
x
)

]
2

# )
0
,
∀
x

{\displaystyle \lim\_{N \to \infty} E([\hat{p}(x) - p(x)]^2) = 0, \forall x}

Достаточные условия состоятельности:

1. K
(
u
)

{\displaystyle K(u) }

 — ядро (Примеры ядер, пояснения).
2. lim

N
→
∞

h
(
N
# )
0

{\displaystyle \lim\_{N \to \infty} h(N) = 0}
3. lim

N
→
∞

N
h
(
N
# )
∞

{\displaystyle \lim\_{N \to \infty} Nh(N) = \infty}

Разумеется, имеются обобщения на многомерный случай.

## С чего я это взял?

1. Мои конспекты
2. Презентейшн
Дискриминантная функция

Вы можете помочь, добавив навигационные ссылки.

 Вы можете помочь, кластеризовав информацию в этой статье.Возможно, следует разбить её на разделы или на несколько статей.

Рассмотрим бинарную классификацию:

Y

=
{
1
,
−
1
}

{\displaystyle \mathbb{Y} = \{+1, -1\} }

.
Зачастую, любой классификатор можно представить в виде:

a
(
x
# )
s
i
g
n
(
f
(
x
,
w
)
)

{\displaystyle a(x) = sign(f(x, w)) }

, где

w

{\displaystyle w}

 — это **вектор параметров**.

a
(
x
)

{\displaystyle a(x) }

 — это **классификатор**.

f
(
x
,
w
)

{\displaystyle f(x, w) }

 — это **дискриминантная функция**.

Если

f
(
x
,
w
)
<
0

{\displaystyle f(x, w) < 0 }

, то вернется

−
1

{\displaystyle -1}

.

Если

f
(
x
,
w
)
>
0

{\displaystyle f(x, w) > 0 }

, то вернется

1

{\displaystyle +1}

.

Уравнение

f
(
x
,
w
# )
0

{\displaystyle f(x, w) = 0 }

 описывает разделяющую поверхность.

Пример дискриминантной функции:

f
(
x
,
w
# )
⟨
w
,
x
⟩

w
0

{\displaystyle f(x, w) = \langle w, x\rangle + w\_0}

a
(
x
# )
s
i
g
n
(
⟨
w
,
x
⟩

w
0

)

{\displaystyle a(x) = sign(\langle w, x\rangle + w\_0) }
BtC1 Archive Hub

On December 6, 2016, the Geometry Dash Wiki staff decided to close down the Forums and switch to the new Discussions feature, deleting most of the older forum threads. The Forums were later reopened, but the deleted threads were not restored.

While the first four Break the Chest threads were caught up in this wave of purging, they were not fully deleted from the Wiki. This made it possible to read the contents of the deleted posts through the use of the Page History feature. To make these threads easier to read, the update posts from all four deleted threads have been compiled into several archive pages.
Break the Chest Wiki

## Welcome to the Break the Chest Wiki

*Break the Chest* is a popular text-based role-playing game, originally hosted on the Geometry Dash Wiki. The main objective of the game was to break the various chests that spawn in the game to obtain items, and then use those items to fight enemies. Bosses will eventually spawn, and defeating them would also reward powerful weapons or items that could be used to upgrade existing weapons.

The game was originally created on the Geometry Dash Wiki forums by the user TimewornKaiju on November 6, 2015. Its creation was inspired by a game of *Destroy the Godmodder* that was being hosted on the same forum, by a user known as CyanSkull. As the game progressed, new additions were made, many of which were inspired by games such as *Terraria* or *Undertale*. The last update to the game was made on March 4, 2016; the game was discontinued shortly afterwards due to TimewornKaiju's lack of motivation to continue it.

On September 10, 2016, a few months after the original game was discontinued, a user by the name of Alpha654 created his own version of the game, also on the Geometry Dash Wiki forums. Many major changes were made to this version, such as the addition of a special kind of boss enemy. Many new bosses and areas were added as well, most of which were based on games such as *Minecraft* or *Clash Royale*. It also had a story that was heavily influenced by the Geometry Dash Wiki version of *Destroy the Godmodder*. The game was discontinued on September 5th, 2017, also due to Alpha654's lack of motivation to continue it.

The most recent version of the game is Break the Chest: Deluxe, created on the FGA Discord server by the user Acer of Dragons. The game began on March 23, 2020, and is still active to this day. This game changed many of the core aspects of the game, including how chests spawn and the loot that drops from them. It also introduced a new mechanic: Primordial Rifts, which can be opened using large amounts of Primordial Energy to begin a fight against a boss from another series.

Other versions of the game have been created, but most did not last for very long. Scientedfic, one of the players of Alpha654's game, started their own game on the BlankMediaGames forum on August 11, 2017. The last update to this game was made on September 11, 2017.

## Describe your topic

Write a description about your topic. Let your readers know what your topic is about and add some general information about it.
K-means

**K-means** - EMоподобный метрический алгоритм кластеризации.

## Интуиция

Обозначим за

μ
i

{\displaystyle \mu\_i}

 центр

i

{\displaystyle i}

-го кластера, а за

z
j

{\displaystyle z\_j}

 - номер кластера, которому принадлежит объект под номером

j

{\displaystyle j}

. Количество кластеров предполагается известным.

Хочется решить задачу минимизации:

∑

i

ρ
(

x

i

,

μ

z

i

)

2

→

min

z

i

,

μ

c

{\displaystyle \sum \_{i}\rho (x\_{i},\mu \_{z\_{i}})^{2}\to {\underset {z\_{i},\mu \_{c}}{\min }}}

Чё-то сложновато и мы ищем субоптимальное решение по сути методом покоординатного спуска.

## Описание

Инициализировать

μ
i

{\displaystyle \mu\_i}

 можно случайно, но лучше и понятнее инициализировать случайными объектами из выборки. До сходимости повторяются два шага:

* для каждого объекта

x
i

{\displaystyle x\_i }

 пересчитывается

z

i

=

a
r
g
m
i
n

z

i

⁡
ρ
(

x

i

,

μ

z

i

)

{\displaystyle z\_{i}=\operatorname {\underset {z\_{i}}{argmin}} \rho (x\_{i},\mu \_{z\_{i}})}
* вычисляются новые средние

μ
i

{\displaystyle \mu\_i}

 внутри каждого кластера

### Критерии остановки

* после очередной итерации

z
i

{\displaystyle z\_i}

 не изменились (типичный вариант)
* центры кластеров за итерацию изменились незначительно
* фиксированное число итераций
Hairspraymusical Wiki

## Welcome to the Wiki

Welcome to the wiki. We’re a collaborative community website about your topic that anyone, including you, can edit. Click the edit button at the top of any page to get started!

## Describe your topic

Write a description about your topic. Let your readers know what your topic is about and add some general information about it.

## Latest activity

Photos and videos are a great way to add visuals to your wiki. Find videos about your topic by exploring Fandom's Video Library.

File:Placeholder
Генетический отбор признаков

Генетический алгоритм моделирует процесс естественного отбора. Подмножеству признаков ставим в соответствие некоторый бинарный вектор

(

b

1

,

b

2

,
…
,

b

n

)

{\displaystyle (b\_{1},b\_{2},\dots ,b\_{n})}

 где

b

i

=
1

{\displaystyle b\_{i}=1}

 значит что

i

{\displaystyle i}

-й признак входит в признаковое подпространство и

0

{\displaystyle 0}

 значит что не входит (вектор является упрощенной математической моделью ДНК). Далее определяем операции кроссовера и мутации.

* Одноточечный (singlepoint) кроссовер —

c
r
o
s
s
(

b

1

,

b

2

# )
(

b

1

1

,

b

1

2

,
…
,

b

1

k

,

b

2

k
1

,
…
,

b

2

n

)

{\displaystyle cross(b\_{1},b\_{2})=(b\_{1}^{1},b\_{1}^{2},\dots ,b\_{1}^{k},b\_{2}^{k+1},\dots ,b\_{2}^{n})}

, где

k

{\displaystyle k}

 - выбирается случайно от

1

{\displaystyle 1}

 до

n

{\displaystyle n}

.
* Двуточечный (two point) кроссовер —

c
r
o
s
s
(

b

1

,

b

2

# )
(

b

1

1

,

b

1

2

,
…
,

b

1

k

,

b

2

k
1

,
…
,

b

2

m

,

b

1

m
1

,
…
,

b

1

n

)

{\displaystyle cross(b\_{1},b\_{2})=(b\_{1}^{1},b\_{1}^{2},\dots ,b\_{1}^{k},b\_{2}^{k+1},\dots ,b\_{2}^{m},b\_{1}^{m+1},\dots ,b\_{1}^{n})}

, где

k
,
m

{\displaystyle k,m}

 - выбираются случайным образом

1
<
k
<
m
<
n

{\displaystyle 1<k<m<n}

.
* Равномерный кроссовер —

c
r
o
s
s
(

b

1

,

b

2

# )
(

b

1

,

b

2

,
…
,

b

n

)

{\displaystyle cross(b\_{1},b\_{2})=(b^{1},b^{2},\dots ,b^{n})}

, где

b

i

=

b

1

i

{\displaystyle b^{i}=b\_{1}^{i}}

 или

b

i

=

b

2

i

{\displaystyle b^{i}=b\_{2}^{i}}

 с вероятностью

1
2

{\displaystyle \frac{1}{2}}

.
* Мутация

m
u
t
(
b
# )
{

b

i

⊕

a

i

}

# i
1

n

{\displaystyle mut(b)=\{b^{i}\oplus a^{i}\}\_{i=1}^{n}}

, где

a

i

=
1

{\displaystyle a^{i}=1}

 с вероятностью

α

{\displaystyle \alpha}

 и

a

i

=
0

{\displaystyle a^{i}=0}

 с вероятностью

1
−
α
,
α
≪
1

{\displaystyle 1-\alpha ,\alpha \ll 1}

.

Далее генерируем случайный набор из

K

{\displaystyle K}

 бинарных векторов. И генерируем "новое поколение": берем из набора случайные пары векторов и скрещиваем их при помощи кроссовера, после чего мутируем получившегося потомка. Из всех получившихся признаков (и старое и новое поколение) находим

K

{\displaystyle K}

 оптимальных (дающих наилучший результат при обучении). После чего уже для них повторяем алгоритм до сходимости или по количеству итераций.

K

{\displaystyle K}

 - параметр алгоритма.

Такой алгоритм в отличие от жадного последовательного отбора признаков часто "встряхивается" за счет мутаций и не застревает в локальном оптимуме, в то же время вектора-потомки, которые проходят отбор, наследуют от векторов-предков лучшие признаки поэтому этот метод гораздо более детерминирован чем например генерация множества случайных наборов признаков с выбором оптимального.
Градиентный бустинг

> *from xgboost import \** © Сева В.
>
>

## Градиентный спуск

Все кто знает метопты знает также, что для минимизации функции

J
(
u
)

{\displaystyle J(u)}

 можно действовать следующим алгоритмом:

u
0

{\displaystyle u\_0}

 -- задано произвольным образом.

u

k
1

=

u

k

−
α

J
′

(

u

k

)

{\displaystyle u\_{k+1}=u\_{k}-\alpha J'(u\_{k})}

, где

# α

a
r
g
m
i
n

α
>
0

J
(

u

k

−
α

J
′

(

u

k

)
)

{\displaystyle \alpha ={\underset {\alpha >0}{argmin}}~J(u\_{k}-\alpha J'(u\_{k}))}

.

тогда

u

k

→

u

∗

{\displaystyle u\_{k}\rightarrow u^{\*}}

 где

J
(

u

∗

# )

m
i
n

u

J
(
u
)

{\displaystyle J(u^{\*})={\underset {u}{min}}~J(u)}

.

## Градиентный бустинг

Пусть дана выборка

X
,
y

{\displaystyle X,y}

 (матрица объекты-признаки

N
×
D

{\displaystyle N\times D}

 и столбец меток

N

{\displaystyle N}

) умеем обучать алгоритм

h
:

R

D

→

R

{\displaystyle h:\mathbb {R} ^{D}\rightarrow \mathbb {R} }

. Хотим ансамблировать много таких алгоритмов с целью улучшения качества работы метода, пусть качество метода оценивается метрикой J(y). Градиентный бустинг решает как раз такую задачу, результатом работы метода является алгоритм

f
(
x
# )

α

0

h

0

(
x
)

α

1

h

1

(
x
)

α

2

h

2

(
x
)
⋯

α

T

h

T

(
x
)

{\displaystyle f(x)=\alpha \_{0}h\_{0}(x)+\alpha \_{1}h\_{1}(x)+\alpha \_{2}h\_{2}(x)+\dots +\alpha \_{T}h\_{T}(x)}

. Будем обучать алгоритмы

h
i

{\displaystyle h\_i}

 следующим образом: положим

h

0

(
x
# )
0

{\displaystyle h\_{0}(x)=0}

, теперь итеративно обучаем

h

t
1

{\displaystyle h\_{t+1}}

 при уже обученном методе

f

t

(
x

# i
0

t

α

i

h

i

(
x
)

{\displaystyle f\_{t}(x)=\sum \_{i=0}^{t}\alpha \_{i}h\_{i}(x)}

. Рассмотрим точку

f

t

(
X
# )

y
~

{\displaystyle f\_{t}(X)={\widetilde {y}}}

. чет мне лень дальше писать, завтра допишу.

Ссылка на статью про бустинг и AdaBoost.
Family

Family is the 60th episode from Series 1.

## Plot

When midnight strikes in the children's library, it is time for the Story Makers to come out and make new stories ready for the children who are coming in the morning. Milton makes stories about families.

## Stories

* Playbook: Tickle my whiskers
* Kevin the Spaceman: Mummy
* Blue Cow: Blue Cow learns to sing

## Trivia

When Milton mentions his family, he ends up mentioning his brother and sister, Shelley and Byron. Who would later on become official characters in the next series.

He also mentions that he had a dog named Webster, which would evolve into another host along with Byron and Shelley.
Velma Von Tussle

### Stage

Linda Hart, Barbara Walsh, Mary Birdsong, Michele Pawk, Karen Mason, Susan Anton, Tracie Bennett, Belinda Carlisle

### Hairspray Live!

Kristin Chenoweth

> "Those poor runners-up may still hold some grudges. They padded their cups, while I screwed the judges." – Velma Von Tussle, '(The Legend of) Miss Baltimore Crabs'
>
>

**Velma Von Tussle** (born **Velma Venal**) is the producer of *The Corny Collins Show* and the mother of its lead female dancer, Amber.

## Pre-1962

Velma's greatest life achievement happened in 1945, when she won the Miss Baltimore Crabs pageant by sleeping with the judges. A year later, she married the man of her dreams, Rollo Von Tussle, a wealthy racketeer, who owns station WZZT.

In 1946, she gave birth to her first (and only) daughter, Amber, in the back of a limousine. Since she never made the name for herself she thought she would, it's now her life's ambition to make a name for her daughter.

Five years later, Rollo was tragically killed in an explosion at a pornography salon. Consequently, Velma takes over the television station and inherits his estate.

## 1962

It has now been ten years since Velma took over WZZT-TV. In addition, more recently, she has become the producer of *The Corny Collins Show*. With the nationwide Miss Teenage Hairspray pageant just days away, she will stop at nothing to win Amber the crown. She even bribes the cameramen to give her daughter more closeups.

When Tracy shows up to the audition, Velma and Amber cannot believe she seriously believes she'd have a shot of making it on the show. So, she humiliates her and sends her on her way. However, fatefully, Corny notices Tracy at the sock hop and immediately adds her to the council. As a result, Velma threatens to fire Corny for going behind her back and hiring Tracy. Corny snaps back at her, sending her into a fit of rage.

After she and the other women are arrested at the protest, Governor Tawes – a college boyfriend – decides to release Velma and Amber with "sincere apologies... and personal compliments."

Ultimately, Amber loses the Miss Teenage Hairspray pageant to Tracy, despite Velma's tireless attempts at keeping Miss Turnblad and friends away from the Baltimore Eventorium, including hiring armed guards. However, Corny goes behind her back once again and teams up with Motormouth Maybelle to hatch a counter attack against Velma. Additionally, Harriman F. Spritzer, the President of Ultra Clutch, offers her the vice president position at Ultra Glow, a chain of beauty products for women of color.
Balls

Balls is the 14th episode from Series 2.

## Plot

When midnight strikes in the children's library, it is time for the Story Makers to come out and make new stories ready for the youngsters who are coming in the morning. Jelly and Shelley go bowling.

## Stories

* Playbook: Time for a strike
* Sniff and Wag: The egg and spoon race
* Blue Cow: Marbles
Angry

Angry is the 41st episode from Series 2.

## Plot

When midnight strikes in the children's library, it is time for the Story Makers to come out and make new stories ready for the children who are coming in the morning. Everyone is rather angry in the library today.

## Stories

* Playbook: Angry
* Barnacle Rock: Puffy love
* Blue Cow: Film star Blue Cow
Wilbur Turnblad

### Stage

Dick Latessa, Peter Scolari, Jere Burns, Jerry Mathers, Jim J. Bullock, Mel Smith, Micky Dolenz, Drew Carey

### Hairspray Live!

Martin Short

> "This is America, babe. You gotta think big to be big." – Wilbur Turnblad
>
>

**Wilbur Turnblad** is Tracy Turnblad's father and Edna Turnblad's husband.

## Pre-1962

When he was a teenager, his parents begged him to run away and join the circus. However, due to his strong aspiration to open a large chain of joke shops, he turned down their wishes.

Later in life, he became private first class in the military during World War II. It was after the war, in 1945, that he met Edna at a chocolate rationing party no less.

In 1946, he tried to persuade the military to fund nuclear-powered juggling robot research, but was ultimately turned down. Later that year, he and Edna wed, much to the chagrin of his parents (who still hoped he'd end up in the circus). His daughter, Tracy, was born in 1947.

In 1955, he bought a down-and-out novelty shop in Baltimore's Highlandtown and turned it into the Hardy Har Hut, the first of his prospective mega chain.

## 1962

At the start of the events in *Hairspray,* Wilbur is still hopeful that his childhood dream would become a reality, even though, seven years after opening the Hardy Har Hut, it hasn't progressed. However, as is his outlook on life, he remains optimistic that everything will work out in the end.

Since he is quite the dreamer himself, Wilbur is ecstatic to find out that Tracy has the opportunity to audition for *The Corny Collins Show.* He couldn't be more encouraging of her to chase her aspirations, even if Edna doesn't feel the same way.

When Tracy ultimately lands the gig, Wilbur is right there in front of the television set, cheering on his baby girl. Upon finding out that African Americans can't dance together on TV, Tracy decides to lead a protest against WZZT-TV, and Wilbur gives her his full support. Moreover, after Tracy and the women are arrested at the protest, he ends up mortgaging his business to raise enough money to bail out every one of them – a strong testament to how loyal he is to his family. Nevertheless, when Tracy remains behind bars, he comes up with a plan to get back at the Von Tussles, steer his daughter to victory, and fulfill Edna's dream of becoming a fashion designer.

He ends up inventing a giant Ultra Clutch hairspray can, within which Edna can hide, only to later emerge, revealing her beautiful dress designs on the nationwide broadcast of the Miss Teenage Hairspray pageant.

## Post 1962

In 1970, Wilbur's dream became even bigger than he'd initially dreamed, when he opened his own amusement park called Har-De-Har Land. The featured attraction of the park were specialized rides, focused on squirting stuff at the patrons and making crude noises.

In 1989, he opened up his second amusement park called Fashion Fair. This time, life-like robots wearing Edna's designs were the feature.

Finally, in 1999, his fifth location of Har-De-Har Land opened in Europe, aptly named Euro-Har-De-Har.
Amber Von Tussle

### Stage

Laura Bell Bundy, Becky Gulsvig, Haylie Duff, Brynn O'Malley, Ashley Spencer, Aubrey O'Day

### Hairspray Live!

Dove Cameron

**Amber Von Tussle** is the malicious lead female dancer on *The Corny Collins Show* and the entitled daughter of Velma and Rollo Von Tussle.

## Pre-1962

Spoiled from the start, Amber was born in the back of her parents' limousine. When Queen Elizabeth II was crowned in 1953, seven-year-old Amber was motivated to become royalty herself.

## 1962

In June 1962, Amber is the reigning lead female dancer on *The Corny Collins Show*. Her mother is the producer, and she has the upcoming Miss Teenage Hairspray title in the bag.

Things are going well for her romantically as well. Link Larkin has recently asked her to officially go steady with him and he has now given her his council ring to wear, as a token of his commitment to her.

When Tracy shows up to audition, Amber and Velma don't take her seriously whatsoever, as they spend the entire time mocking Tracy's appearance. Nevertheless, when Corny and Link begin to take notice of Tracy's swift dance moves, Amber fears she may have a viable competitor.

Her nightmare continues, when Tracy is ultimately placed on the council, and Corny recommends she become a candidate for the pageant.

During gym class, Amber gets to take her frustrations out on Tracy, by hitting her with a dodge ball, rendering her temporarily unconscious. Unfortunately for Amber, this only makes Link admire Tracy more.

While waiting for Link under the bleachers, during the junior varsity track and field meet, she spots him getting on the North Avenue bus with Tracy, Seaweed, and Penny and decides to follow him to Motormouth Records. There, she's turned away by Link, humiliated in front of her mother and the patrons of the store.

She is ultimately arrested with the other female protestors but is subsequently pardoned and released with Velma by the governor's orders.

Eventually, Link approaches Amber to break up with her once and for all, resulting in her throwing his ring back in his face.

At the Miss Hairspray Pageant, things are once again looking promising for Amber, as Tracy has broken out of prison and is still on the run from authorities. Nevertheless, just as Amber is pronounced the winner, Tracy blasts into the Eventorium with her dance, in turn, gaining her the crown.

Despite their behavior, Amber and her mother are invited by the ensemble to join them in the dance with the Von Tussles even admitting they can't stop the beat.
Edna Turnblad

### Stage

Harvey Fierstein, Michael McKean, Bruce Vilanch, John Pinette, Paul Vogt, George Wendt, Michael Ball, Phill Jupitus, Christopher Sieber

### Hairspray Live!

Harvey Fierstein

> "Oh, Tracy, it's been years since someone's asked me to dance." – Edna Turnblad, 'Welcome to the 60's'
>
>

**Edna Turnblad** (born **Edna Fleischberg**)  is the mother of Tracy Turnblad and wife of Wilbur Turnblad.

1. ↑ O'Donnell, Mark. "The Hairspray Continuum." *Hairspray: The Roots*. New York: Faber and Faber, 2003. 6. Print.
Регрессия

Вы можете помочь, добавив навигационные ссылки.

**Регрессия** - частный случай задачи обучения с учителем, при котором целевая переменная принадлежит бесконечному подмножеству вещественной оси.

## Сравнение методов регрессии

Сравниваются следующие методы регрессии:

1. kNN
2. регрессия Надарая-Ватсона
3. ridge/lasso regression
4. решающее дерево
5. kernel ridge regression c RBF-ядром.

### Прогноз каких методов зависит линейно от исходных признаков?

1. Зависит по сути лишь от заданного расстояния, которое нелинейно.
2. Также зависит от расстояния между объектами, а оно нелинейно.
3. Прогноз зависит линейно от исходных признаков так как это линейная регрессия.
4. Дерево — кусочно-постоянная функция от исходных признаков, значит нелинейно.
5. Так как используется kernel trick с RBF-ядром, то мы переходим в другое пространство относительно исходных признаков нелинейным образом, то зависимость нелинейная.

### Какие методы используют не все объекты для прогнозирования?

1. Может использовать не все объекты, а только лишь лежащие у разделяющей поверхности.
2. При выборе определенного ядра (например tophat) может использовать только достаточно близкие объекты.
3. По идее, мы вообще не используем выборку во время прогнозирования, так что ответ линейная регрессия подходит.
4. Во время прогнозирования дерево не использует объекты, только лишь ответы на них.
5. Если некоторые

α
i

=
0

{\displaystyle \alpha\_i = 0 }

, то соответствующие объекты из обучающей выборки можно не использовать.

### Какие методы используют не все признаки для прогнозирования?

1. Использует все признаки, которые используются в подсчете расстояния
2. Аналогично использует лишь те, что и в расстоянии
3. Для lasso регрессии не использует те признаки, веса при которых обнулились.
4. Дерево может использовать не все признаки.
5. Во время предсказания необходимо считать ядро, которое использует все признаки.

### Насколько методы устойчивы к выбросам?

1. Неустойчив к выбросам при достаточно маленьком k.
2. Устойчив к выбросам при достаточно большом количестве просматриваемых соседей.
3. Неусточивый к выбросам метод из-за того, что функция потерь — MSE, а она довольно сильно штрафует за ошибку.
4. Деревья сильно меняются при изменении обучающей выборки, а значит и при добавлении выбросов, следовательно деревья неустойчивы к выбросам.
5. Аналогично, из-за MSE метод довольно неустойчив к выбросам.

### Вычислительная трудоемкость на этапе прогнозирования

1. O
(
N
D
)

{\displaystyle O(ND)}
2. O
(
N
D
)

{\displaystyle O(ND)}
3. O
(
D
)

{\displaystyle O(D)}
4. O
(
T
r
e
e
D
e
p
t
h
)

{\displaystyle O(TreeDepth)}
5. O
(
N
∗
K
e
r
n
e
l
C
o
m
p
u
t
a
t
i
o
n
)

{\displaystyle O(N \* KernelComputation)}
Регуляризация

Вы можете помочь, добавив навигационные ссылки.

    добавить вероятностную модель, соответствующую регуляризации

**Регуляризация**  — способ предотвратить переобучение модели.

## Виды регуляризации

Часто регуляризация представляет собой просто некоторую добавку

R
(
w
)

{\displaystyle R(w)}

 (где

w

{\displaystyle w}

 — параметры модели) к функции потерь

L
(
f
(
x
,
w
)
,
y
)

{\displaystyle L(f(x, w), y)}

 так что задача приобретает вид:

min

w

∑

# i
1

N

L
(
f
(

x
i

,
w
)
,

y
i

)
)
λ
R
(
w
)

{\displaystyle \min\_{\displaystyle w} \sum\_{i=1}^N L(f(x\_i, w), y\_i)) + \lambda R(w)}

Часто используемые

R
(
w
)

{\displaystyle R(w)}

:

* **L2** регуляризация —

R
(
w
# )

w

2
2

=

∑

# i
1

d

w
i

2

* **L1** регуляризация —

R
(
w
# )

w

1

=

∑

# i
1

d

w
i

* **ElasticNet** регуляризация —

R
(
w
# )

λ
1

w

2
2

λ
2

w

1

## Отбор признаков

Предположим, что перед нами стоит задача линейной регрессии с L1 регуляризацией (lasso regression):

* f
(
x
,
w
# )

w
T

x

w
0

{\displaystyle f(x, w) = w^Tx + w\_0}
* L
(
w
# )

min

w

∑

# i
1

N

(

w
T

x
i

w
0

−

y
i

)
2

λ

w

1

L1 регуляризация приведет к занулению весов некоторых признаков так как градиент равен:

∇
w

L
(
w

# i
1

N

2

x
i
T

(

w
T

x
i

w
0

−

y
i

)
λ
s
i
g
n
(
w
)

{\displaystyle \nabla\_w L(w) = \sum\_{i=1}^N 2x\_i^T (w^Tx\_i + w\_0 - y\_i) + \lambda sign(w) }

Соответственно при достаточно большом

λ

{\displaystyle \lambda}

 некоторые признаки обязательно обнулятся. Тогда отбираются те признаки, при которых вес не равен нулю.
Также есть объяснение в Бишопе на странице 145-146.
Corny Collins

> "This is the future." – Corny Collins, *Hairspray* (2007)
>
>

**Cornwallis "Corny" Collins** is the host of *The Corny Collins Show*, which airs on WZZT-TV in Baltimore every afternoon at four o'clock.

## Pre-1962

Corny was raised on classical music. He played the violin until he was a sophomore in high school (1945), when he ended up succumbing to his rock-n-roll side and started playing the drums .

In 1957, Corny went into the broadcasting business and landed his first job at WZZT-TV. Before getting his own program on the airwaves, he performed the early morning weather reports, until he was fired a year later for falling asleep on the air .

## 1962

*The Corny Collins Show* is the hippest, most popular teenage dance program in Baltimore, June of 1962. Moreover, this year, the annual Miss Teenage Hairspray pageant will be broadcast all over the country, potentially expanding the Corny Collins brand from local to national overnight.

After a talent search for the show's newest teen dancer, Corny takes a liking to Tracy Turnblad, while hosting Patterson Park High School's sophomore sock hop, and decides to give her the open spot, much to the disgust of Velma and Amber Von Tussle and the president of Ultra Clutch, *The Corny Collins Show's* sponsor, Harriman F. Spritzer.

He attempts to convince Mr. Spritzer that this is the right choice for the future of both of their careers. Velma, nevertheless, doesn't buy into it and pathetically threatens to fire Corny from his own show. He, in turn, threatens her position as the show's producer, suggesting they can always move the show to another station.

Behind Velma's back, Corny secretly hatches a (successful) plan to get Tracy out of prison and win her the crown.

## Post 1962

Ultimately, in 1967, Corny goes through a mustache and sideburns phase. Consequently, *The Corny Collins Show* is quickly taken off the air. His time away from the spotlight doesn't last long, however. In 1970, he hosts a new network game show called *What's Your Bag?* .Six years later, he is elected as the governor of California, putting a "more music, less talk" policy into effect .

1. ↑ O'Donnell, Mark. "The Hairspray Continuum." *Hairspray: The Roots*. New York: Faber and Faber, 2003. 6. Print.
2. ↑ O'Donnell, Mark. "The Hairspray Continuum." *Hairspray: The Roots*. New York: Faber and Faber, 2003. 8. Print.
3. ↑ O'Donnell, Mark. "The Hairspray Continuum." *Hairspray: The Roots*. New York: Faber and Faber, 2003. 10. Print.
4. ↑ O'Donnell, Mark. "The Hairspray Continuum." *Hairspray: The Roots*. New York: Faber and Faber, 2003. 11. Print.
Cast Members

**A**

* Abraham, Joe
* Adams, Cameron
* Alves, Clyde
* Angel, Ashley Parker
* Anthony, Eric

**B**

* Ballard, Jordan
* Bass, Lance
* Bean, Shoshana
* Beazer, Tracee
* Bennett, Denosh
* Bergasse, Joshua
* Bieber, Gretchen
* Birdsong, Mary
* Blake, Richard H.
* Bracken, Kirsten
* Brier, Kathy
* Brooks, Terron
* Broyhill, Summer
* Bullock, Jim J.
* Bundy, Laura Bell
* Burns, Jere
* Burruss, Iris
* Butler, Kerry

**C**

**D**

**E**

**F**

**G**

**H**

**I**

**J**

**K**

**L**

**M**

**N**

**O**

**P**

**Q**

**R**

**S**

**T**

**U**

**V**

**W**

**X**

**Y**

**Z**
Brenda

## Portrayed by

### Stage

Jenn Gambatese, Alli Mauzey, Michelle Kittrell, Leslie Goddard, Gretchen Bieber, Jenii Hicks, Jackie Seiden

### Hairspray Live!

Jacque Lewarne

**Brenda** is a dancer on *The Corny Collins Show* and a student at Patterson Park High School.

## Pregnancy

In June 1962, Brenda announces on *The Corny Collins Show* that she will soon be taking a leave of absence from the council for "nine months," thus opening up a spot for Tracy to end up filling.

It is heavily implied in the original Broadway staging and in the 2007 movie that the father of her unborn baby is, in fact, Corny Collins. In addition, based on the original staging, Brenda isn't the only council member to have had a fling with Corny. It is suggested that Corny has been making his rounds through the female dancers on the show.

Brenda's name and phone number have been posted across various venues in Baltimore, including the Patterson Park High School playground and the Baltimore Women's House of Detention. Her message always stated: "For a good time, call Brenda – TU8-6273."
Brumpo Tungus

## Background

As Brumpo tells it, there isn't much to know about Brumpo's life story. Spending decades roaming the continent, Brumpo has made his living by hunting in the wilderness.

Does not seem to be the type to make many personal connections or friendships, but has a surprising amount of contacts. One such contact is his friend Karl, who has been a long-time collaborator. Their history together is vague and probably best left unsaid; their first "job" did not end well for either party.
سلمان بن إبراهيم آل خليفة

الشيخ سلمان بن إبراهيم آل خليفة (مواليد  نوفمبر في الرفاع الغربي، مملكة البحرين) رئيس الاتحاد الآسيوي لكرة القدم وعضو اللجنة التنفيذيةبالاتحاد الدولي لكرة القدم م.[قبل انتخابه رئيسا للاتحاد الآسيوي كان رئيسا للاتحاد البحريني لكرة القدم. وأيضا رئيس اللجنة التأديبية في الاتحاد الآسيوي لكرة القدم، ونائب رئيس اللجنة التأديبية للاتحاد الدولي لكرة القدم.

## السيرة[عدل]

الشيخ سلمان بن إبراهيم آل خليفة عضو في الأسرة الحاكمة في البحرين. تخرج من جامعة البحرين في عام مع درجة البكالوريوس في الأدب والتاريخ الإنجليزي. شارك في لعبة كرة القدم لسنوات عديدة منذ الثمانينات عندما كان يلعب في فريق الشباب لنادي الرفاع الغربي.

منذ ان ترك نادي الرفاع الغربي ركز على دراسته الأكاديمية وتقلد مناصب تنفيذية في الاتحاد البحريني لكرة القدم. في عام تم تعيينه إداريا لمنتخب البحرين لكرة القدم ثم بعد سنتين انتخب نائبا للرئيس وفي نهاية المطاف أصبح رئيسا للاتحادم . وشغل أيضا منصب رئيس الجنة التأديبية في عدة بطولات تحت إشراف الاتحاد الدولي لكرة القدم مثل: كأس العالم لكرة القدم وكأس العالم لكرة القدم الشاطئية وكأس العالم لأندية كرة القدم وكان أيضا نائب رئيس اللجنة التأديبية للفيفا في بكين في عام.

صدر مرسوم ملكي بتعيينه أمينا عاما للمجلس الأعلى للشباب وا]

الشيخ سلمان لديه ثلاثة أطفال بنتين وهما الشيخة لطيفة ولدت في عام والشيخة عائشة ولدت في عام وابن الشيخ عيسى ولد في عام
The Greater Landis Freelancers' Union

The mercenary/merchant guild run by Brumpo Tungus, alongside his longtime collaborator Karl. Fights to ensure fair treatment of all adventurers in Landis, and to ensure they are all well-paid to boot. Extremely small as of now, but who knows what it could become...

It's insignia is a red flag with a broken arrow in the middle of it. Note that no actual flag or clothing exists with this insignia as of yet, it is purely in Brumpo's imagination.
Dolphin

Dolphin-of-Wisdom

Mischievous, social and playful, Dolphin learns quickly, cares deeply for her family, and brings joy to all who know her.

## Individual Traits

Children of Dolphin are particularly resistant to the debilitating pull of depression. Dolphin’s followers can also influence other Garou, Kinfolk and spirits with their cheerfulness and determination (as the Children of Gaia Gift: Spirit Friend).

## Ban

Dolphin only asks that her children do their best to nurture, teach and protect young pups or babies. Frequently the most dedicated Mentors have Dolphin as their totem.
Fabrication Lab

The Fabrication Lab is located at **E4-02-something.**

Facilities available:

* FFF/FDM printing (ABS only)
* Laser cutting (only maximum of 5mm acrylic and wood)
* Workshop Tools

To use the Fab lab facilities, an email needs to be send to Mr. Anuwar at least one working day in advance. The email must also be CC-ed to Mr. Hong Wee, your project in-charge and your team mates.

Sample email to Mr. Anuwar:

Dear Mr. Anuwar,

I would like to use the [NAME OF FACILITY] at the Fab lab.

Please advice a good time to use [THE FACILITY].

Below are my details and details of my project:

Thank you!

[Your name]
Glanwynn

Tattoo on the back of her left hand

Glanthic (Younger brother)

Glanala (Younger sister)

Glanbera (Younger sister)

Glanval (Younger sibling)

## Current Status

### Title(s)

Medal of the Order of the Landis Kingdom for Meritorious Service; Knight Grand Cross of Arbol; Lord of [LAND]

## Background

Glanwynn Grimhorn was born the 17th of February of 1175, along her younger twin brother, Glanli. Daughter of Tarin and Dorek Grimhorn in the dwarven city of Berch Alddor. Her baby years and early childhood were tough, since her family had been disowned from both sides. She and her brother had to help however they could since they were little. She used to be the clerk at the smithery her father worked, proving she had the charisma necessary for the job, while her brother would either stay at home helping with some chores or helping their mother in her coaching job. In her time as a clerkperson she learnt how to read, write and do basic math, as well as social skills. She didnt get basic education since her family's income couldnt afford two scholarships, so they both learnt what they could from their father, who would teach them in whatever oportunity he had while in the smithery, and from their mother, who would teach them after dinner. This is because although there were free schools, none of them would accept either of them thanks to the influence of their blood family on both of their parent's sides.

She would recieve treaths from her blood family quite often, which made her rather reclusive when it came to having friends, so her best friend always was (and still is) her twin brother. This however didnt seem to affect her social skills later in her life.

She had grown used to the threaths on her but always knew her parents would protect her. It wasnt until she was 30 years old that her mother got pregnant with twins again that she started thinking that they shouldnt get the same treatment as she and her brother faced. Her parents never talked much about their blood family and assured it was for the best. But Glanwynn was set on finding a way to improve her future sibling's life. She started gathering all information she had, older books, letters, portraits, anything to link the path that lead to her parents being disowned. She then found out about the
Alexei Bertram

> *What's like silver to Corax?... Baseball bats... pretty much anything really... Bird bones are really fragile.*
>
>

Alexei was Strider kinfolk before the change. He's married to an American Strider named Ammie and is Cloud's father. His father-in-law Anubis Doomspeaker, the Head of the American Nation Silent Striders, has strong opinions about whether Corax can still be Kinfolk.

He has claimed that all his powers come from his black trenchcoat. Without it, he's just an incredibly good looking superhero.
Daniel Sthenopoulos

After first change, Daniel has been sent to London as his elder cousin is here. There seems to be some kind of pact or bargain that Griffin's Glen trusts its young in the Forgotten Ways.

Recently passed his rank challenge, which included an all-night run to Anglesey to deliver an urgent message. He hopes the Black Furies approve of his choice.
The Party

## Player Characters

The main characters of the campaign. A rag-tag group of friends brought together by circumstance and intrigue. The heroes of Ma'daluz, despite some of their own protests.

* Brumpo Tungus (played by Ryan)
* Cedric (played by Jo)
* Glanwynn (played by Lily)
* Guy (played by Madi)
* Sera (played by Cindy)
* Teilen (played by Caelan)

## NPC Companions

There are various NPCs that occasionally join the party on their various adventures.

* Anastasia (played by Manny)
* Nazak the Skull
* Nix the Goat
Boar

Boar is feared by hunters, and with good reason. He is too angry to pass up a challenge, too fierce to concede a fight and too ornery to die with good grace. Many combative packs, particularly of the Get of Fenris and the Fianna, choose Boar as their totem.

## Ban

Children of Boar must never hunt or eat boars.
Eric Skollar-Tyrsonn

Eric is originally from Greenland and he'd like to be very clear with you that the name is a lie. Greenland is ice and rock and snow and, if you're lucky, ice. The weather matches the terrain, but, to be honest, the fjords are very pretty.

Eric is a bit dour. By trade he's a blacksmith and has worked for the Svartalfar on occasion. He will tell you that blacksmiths have to be serious men, as one cannot be casual with steel or silver. He finds that a good rule for life, as anything that is precious should be given deep and serious respect. Likewise, a good blade or hammer is not made without toil or sweat and, quite often, injury, and blood, and burns. Things of worth are like this. We must work at things nd must accept pain along the way if we expect them to succeed. The old gods knew this; it was true in Odin's time - it is true in ours.

He has come to the White Horse for serious purpose. And, as the Allfather is his guide, he expects to succeed.
Clashing Boom-Boom

### Name

Clashing Boom-Boom / Horus / Sekhmet / Nefertiri / Bishomon / Shango / Huitzilipochtli / Ares / Athena / Mars / Minerva / Tyr / Archangel Michael

Also known as Horus, Sekhmet, Nefertiri, Bishomon, Shango, Huitzilipochtli, Ares, Athena, Mars, Minerva, Tyr, or the Archangel Michael, the spirit of War is one of the oldest and most feared of all. She does not choose any but the greatest of warriors as her children, and refuses to be disobeyed. As well as a great warrior, she is a great tactician and commander. The development of the Glass Walker camp Dies Ultima pleases her greatly, and she is a popular totem with them.

Clashing Boom-Boom appears in many forms and adjusts her appearance to suit the age. In the modern world she frequently appears as a stealth bomber flying overhead, a cloud of gunpowder referred to as the “Fog of War,” a stern elderly woman in crisp military attire, or a young woman wearing complex armour made of Kevlar and hard plates in strange formation – an image of the future of warfare. Some packs even see her as a Predator drone.

## Individual Traits

Clashing Boom-Boom improves her children's Firearms and Melee Skills. No target is ever impossible to hit, as long as it can be seen. Her children are also taught the art of warfare, and instinctively know how to properly use any weapon they hold. Clashing Boom-Boom also ensures that her children’s weapons never malfunction or jam.

## Pack Traits

Packs that follow Clashing Boom-Boom excel at Leadership.

## Ban

Clashing Boom-Boom does not tolerate insubordination of any kind. Her followers must follow any orders given to them by a Rank (WTA) Garou. Refusing a direct order from Clashing Boom-Boom herself will result in her turning on the pack. She will fire upon traitors.
Diarmed

Where Fergal is all noise and thunder interspersed with brooding, Diarmed of the Lambent Smile is light and charm. On first meeting, everyone tends to get afraid of Fergal. Not so with Diarmed. It's almost impossible not to like him when you first meet him.

There is nothing in this world or the next that the boy born Diarmuid O'Riordan will not face with a smile in his eyes and a joke on his lips. He has walked next to Fergal into some of the most dangerous places on earth and always found time for a joke and a laugh to raise his friends' spirits. Not Battle, not Scandal, not overwhelming odds. None of these things have been known to touch him and no one could ask for a better companion when all hell is breaking loose and the Wyrm is coming at your throat.

Unfortunately murder, violence, arson or wholsesale destruction don't really mean much to him either. In fact as far as anyone has ever been able to tell no real sign of morality or concern with any kind of ethics has ever really bothered him. The only things that seem to matter to him are his friendship with Fergal and keeping his word. It is said that he has never lied or broken a promise.

He has been Fergal's best friend since they were 9. He was fostered to the Belfast caern very young, after his elder brother went missing in Silver Tara, and there met Fergal at the local school.

He tells the story that the two of them were walking through the Botanics after a school trip to the Ulster museum when they got attacked by five teenage bullies. The other kids with them ran away but Fergal ran at the bullies. So he stayed.

He laughs as he recounts how Fergal bit off most of one kid's finger when he was put in a headlock and how he thinks he ruptured another one's ball when he grabbed for his crotch and ripped.

Shaking his head and chuckling, he'll explain that the two of them got the absolute living shit kicked out of them after that and when they could walk they limped to the wall by the Palm House door and sat there promising vengeance.

His voice grows quiet and wistful, almost sad, when he says he remembers every word that was said when a bleeding Fergal grabbed his hand and explained that they were battle brothers now.

'Like in the old myths. We have shed blood together and we stood without running away against unwinnable odds.'

Then his face takes on a fair approximation of Fergal's glower, 'We have to swear an oath, a proper oath. A blood oath that we'll always stand together! I'll have your back and you'll have mine no matter what it takes.'

'We did it too, right there and then,' he says. 'Rubbing our bleeding palms together and saying words we made up. Two nine year old boys, bleeding an' limping an' spitting teeth.' The smile returns bright and hard and beautiful. 'We swore that we'd never lose again, no matter what it cost.'
Glooscap

Glooscap is a warrior spirit, but one who often uses his wits and cunning to defeat his foes. He has existed since Gaia came into being. He is human in appearance, somewhat short. However, he is a powerful warrior and a master of deceit. He is also a teacher and gave many names to stars.

## Individual Traits

Each of Glooscap’s children is better at hunting and gains additional Honour Renown.

## Pack Traits

Packs chosen by Glooscap are more skilled at Survival and can call upon additional Willpower every so often.

## Ban

Glooscap requires that his children must fight, never flee, any creature of Gaia that has been altered by the Wyrm to be larger than its original size. If a bear has been corrupted into a huge, mutated beast, packs adopted by Glooscap must confront the beast.
Hare

Hare, also called Mahtigwess or Great Rabbit, is a trickster spirit. He is both trickster and provider, and often rescues the peoples of the world from hideous beasts. However, his strategy is trickery, not warfare. He produces food for people in need, making sure that none go hungry.

## Individual Traits

Each member of Hare’s packs runs more easily.

## Pack Traits

Hare teaches his children Survival, Subterfuge and Athletics, as well as the Gift: Leap of the Kangaroo.

## Ban

Hare asks that all of his children be spared.