A Bayesian Nonparametric Approach to Image Super-resolution
arxivからの論文
http://arxiv.org/pdf/1209.5019.pdf
A Bayesian Nonparametric Approach to Image
Super-resolution
Gungor Polatkan, Mingyuan Zhou, Lawrence Carin, David Blei, and Ingrid
Daubechies
ノンパラメトリックベイズでは有名な Bleiのグループとの共同研究といった感じでしょうか?
超解像技術(super-resolution)は低解像度画像から高解像度画像を作る技術.
全画素の組み合わせに対して,実際に観測される組み合わせは非常にスパースであることから,
パッチを組み合わせることで,高解像度画像を低解像度画像から復元することができます.
そのためには,辞書(Dictionary)を持つ必要があるのですが,
それをどのように作るかが問題となります.
筆者らは過去に
NIPSで
Non-Parametric Bayesian Dictionary Learning for
Sparse Image Representations
http://books.nips.cc/papers/files/nips22/NIPS2009_0190.pdf
を発表しており,ノンパラメトリックベイズを用いて,Dictionary Learning にノンパラメトリックベイズを
応用するということをやっています.
それをsuper resolutionに応用するというのが主な筋立てです.
基本的にスパースな表現を得る場合には,L1ノルムを用いて刈り込む事が多くて,
超解像でもこれがよく用いられます.
Image Super-Resolution via Sparse Representation
Jianchao Yang et al.
などが良くリファレンスされるらしいです.
これに対して,ノンパラメトリックベイズ業界(?)ではスパースな表現にする,
つまり用いない次元を作るような場合には,ベータ・ベルヌーイ分布を導入し,スイッチを作るのが定石です.
例えば,
Sharing Features among Dynamical Systems
with Beta Processes
Emily B. Fox et al.
http://videolectures.net/nips09_fox_sfa/
では,HDP-HMM の各隠れ状態に対してストリーム毎にベータ・ベルヌーイのスイッチを設けて,使わない隠れ状態をオフにします.
ちなみに, @k_ishiguro さんの,
Subset Infinite Relational Models
Katsuhiko Ishiguro et al.
でも,ベータ・ベルヌーイのスイッチをつくって,汎用的な出力分布を用いる(IRMの外に吐き出してしまう)か,
通常のIRMの側に入れるかをえらぶようにしていたりします.
というわけで,
「L1刈り込みの代わりを,ノンパラベイズでやるなら,やっぱベータ・ベルヌーイっしょ!」
という,結構ストレートフォワードな適用があるわけです.
グラフィカルモデルはこんな感じ.
l と h はlow resolution と high resolutionを表している.
xl と xh が観測.
Di と Dh が辞書.
で si が係数なんですが,
zi がいわゆるベータ・ベルヌーイのスイッチで,0,1 をとる.
これによって,使う基底,使わない基底が,0,1でオン・オフされることで,
スパース表現を得るわけである.
なんとも,ストレートフォワードな論理である.
ちなみに,これだけでは綺麗にならないみたいで,最後に平滑化処理っぽいことをやる.
実験の結果は
こんなかんじなのだが,正直,よくわからない・・・.
どうも既存手法に勝てているか微妙なのだが,
なるほどな,とおもったのは, Fig.8 で
こんな図がある.
これは,辞書の要素数(もとの次元数)を大きくしていった際,BPの場合は打ち切り最大数を大きくしていった時にどうなるか
を示しているのだと思うが,
その時に,ScSR(L1ノルムでのスパースコーディング)はピークを持ってしまう.
これに対しノンパラメトリックベイズのアプローチでは,十分な 要素数があれば,良い値を推定できるので,その良さが維持される.
これは,BPのアプローチがもともと無限の状態数を前提として組まれているのに対して,
L1の正則化項は 無次元量でもなく,要素数に影響を受けてしまうからだろう.
なるほどねー.
とは思うが,計算量とか考えても,実用的にはL1で行ったほうが,楽で実用的なのかなぁ,と思った次第でございます.
本内容は,
Xian-Hua Han (韓 先花) Ph.D にご紹介いただいて (Thank you very much
http://www.iipl.is.ritsumei.ac.jp/XHHan/index.html
それを,僕が勝手に理解したものを書いたものであり,
この記事の内容に誤りがあった場合は,僕を責めてくださいませ.
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Como su nombre indica, un bono de tragaperras sin deposito es un tipo de bono de casino que no necesita que los jugadores depositen dinero para poder optar a cualquier tipo de recompensa. Por ejemplo, giros gratis, creditos de casino o incluso dinero en efectivo.
Los bonos sin deposito se dan generalmente a los jugadores potenciales para motivar a los nuevos jugadores para que se registren. Pueden formar parte de los paquetes de bienvenida que un casino online ofrece a todos sus jugadores potenciales y ayudan a atraer la atencion hacia la marca del casino. Tambien pueden ofrecerse a los jugadores con cuentas en determinadas situaciones.
Las tragaperras con bono sin deposito ofrecen la posibilidad de probar las tragaperras online sin coste alguno y quedandose con el dinero que se obtiene, razon por la que son muy codiciadas. Sin embargo, los bonos sin deposito no te obligan a depositar dinero cuando la promocion termina, aunque se sugiere.
?CUALES SON LOS PRINCIPALES TIPOS DE BONOS DE TRAGAMONEDAS SIN DEPOSITO?
Los bonos sin deposito estan disponibles en tres variedades: giros gratis, creditos gratis o dinero en efectivo. El tipo mas conocido que es un bono sin deposito no spins without deposit bonus.
GIROS GRATIS CON BONO SIN DEPOSITO
Todos sabemos que las maquinas tragaperras son las mas populares en el mundo de los juegos de casino , por lo que es natural que un bono hecho especificamente para las maquinas que juegan a las tragaperras sea el mas buscado. Para los amantes de las maquinas tragaperras, los bonos de tiradas gratis sin deposito son un verdadero tesoro, ya que permiten a los jugadores jugar a sus maquinas tragaperras favoritas sin depositar dinero, y con una gran cantidad de tiradas gratis, lo que aumenta sus probabilidades de ganar significativamente.
Creditos gratuitos / BONO DE JUEGO GRATUITO SIN DEPOSITO
En lugar de tiradas gratis, los casinos pueden optar por dar creditos gratis a los jugadores que tienen bonos sin deposito. Estos creditos pueden ser utilizados dentro de un periodo de tiempo enumerado para apostar en juegos en los casinos y ganar dinero real. Los bonos sin deposito y los creditos gratuitos se ofrecen tanto en las tragaperras gratuitas como en otros juegos de los casinos.
DINERO GRATIS CON BONOS SIN DEPOSITO
Al igual que los creditos gratuitos con los bonos sin deposito, los bonos de dinero sin deposito que no requieren deposito se pueden jugar tanto en las tragaperras como en otros juegos de casino. Una vez que haya reclamado y jugado el bono de dinero sin deposito, podra retirar el dinero del bono y cualquier ganancia adicional siempre que cumpla las condiciones para retirar el dinero.
?Como puedo reclamar un bono sin deposito?
En la mayoria de los casos, puede hacer uso de los bonos sin deposito al crear una cuenta en cualquier sitio de juego en linea que ofrezca este tipo de oferta. En la version online del casino, la bonificacion puede aparecer en la pagina de promociones del casino o en una ventana emergente. Algunos casinos requieren que introduzca un codigo promocional para acceder al bono.
Cuando considere reclamar un bono sin deposito (o cualquier otro tipo de bono) debe asegurarse de leer los terminos y condiciones que se adjuntan al bono. Los diferentes casinos pueden tener sus propias regulaciones y limites, sin embargo, hay algunos que son iguales en todos los casinos.
REQUISITOS PARA TRABAJAR
Los bonos sobre los depositos son accesibles para todos, sin embargo, cobrar los bonos es un asunto un poco mas controlado. La mayoria de los casinos en linea le permitiran retirar sus ganancias despues de haber podido apostar una cantidad especifica.
Los requisitos de apuesta se muestran como multiplicadores. Representan la cantidad de veces que tienes que apostar en un bono para poder retirar el dinero. Por lo general, puede jugar a una serie de juegos seleccionados por el operador del casino. Una vez que haya alcanzado el requisito de apuesta, podra dar el siguiente paso para cobrar su bono.
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Segun el casino online, el bono para juegos de tragaperras de deposito puede caducar en cuestion de dias o durar hasta 30 dias. Para asegurarte de que cumples los requisitos de apuestas, es posible que tengas que planificar tu rutina de juego a lo largo del bono.
TAMANOS DE APUESTA
Un metodo para lograr su objetivo de apostar mas rapido es realizar la mayor cantidad de apuestas posible en cada juego. Es un metodo sensato, a menos que el operador del casino decida controlar la cantidad de la apuesta y limitar la cantidad de apuestas en la respectiva tragamonedas con bono sin deposito.
SE REQUIERE UN DEPOSITO
Aunque suene contradictorio, algunos casinos online pueden incluso exigir a los jugadores que depositen dinero antes de poder retirar su bono. Suelen anadir este requisito adicional por razones de seguridad.
RESTRICCIONES
A veces, se le puede negar el acceso a un bono con oferta de deposito gratuito. Esto solo ocurre en muy raras circunstancias, ya sea por el hecho de haber intentado dos bonos a la vez o por tener una direccion IP compartida con un jugador que tambien reclamo el mismo bono, o por residir en una zona restringida.
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