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．
![ビブリオバトル[知的書評合戦]](img/bn_biblio.jpg)
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Бездепозитный Бонус 1win 2024
Бонусы от казино 1win промокод при регистрации 20241Win 2024 - Бездепозитные бонусы ? Коды на возврат денег ? VIP Программа лояльности ? Бесплатные фриспины.
как ввести промокод 1win: 937999 предоставляет новым игрокам бонус 500% для игры в слоты и игровые автоматы, максимальная сумма бонуса 200 000 рублей. Вы можете использовать бонусные деньги в разделе азартных игр, включая онлайн казино, карты, рулетку, игровые автоматы и слоты.
Компания «1Win» рада предложить своим новым клиентам приветственный бонус в размере до 500% на первые четыре депозита. Это выгодное предложение доступно сразу после регистрации в нашей букмекерской конторе. Бонус можно получить не только в рублях, но и в других валютах, при этом он не ограничивает возможность участия игроков в других программам лояльности компании. Максимальная сумма вознаграждения за регистрацию составляет 75000 рублей или эквивалентная сумма в другой валюте.
1win букмекерская контора промокод приносят игрокам множество преимуществ. Во-первых, они позволяют увеличить начальную ставку или продлить время игры. Кроме того, они дают возможность попробовать различные игры без риска потерять реальные деньги. Бонусы также повышают шансы на выигрыш и предоставляют дополнительные возможности для получения прибыли. Кроме того, бонусы в 1win могут быть обменены на реальные деньги или использованы для участия в специальных акциях и турнирах.
Преимущества получения и использования бонусов в 1win очевидны. Они позволяют игроку расширить свои возможности и получить больше удовольствия от игры. Бонусы также делают игру более выгодной с финансовой точки зрения, помогая уменьшить риски и увеличить потенциальную прибыль. Кроме того, получение и использование бонусов в 1win открывает возможность стать лояльным клиентом и получить дополнительные привилегии и вознаграждения от казино.
Итак, получение бонусов в 1win – это отличная возможность для игрока увеличить свои шансы на выигрыш, получить дополнительные деньги и улучшить свой игровой опыт. Бонусы делают игру более интересной и выгодной.
1win промокод за регистрацию: 937999 предоставляет возможность получить бездепозитный бонус 2024. Его можно получить в виде фриспинов или фрибетов. Чтобы получить подарок, необходимо активировать код в личном кабинете. Дополнительный депозит не требуется. Размеры подарков невелики: фрибет до 500 рублей и не более 70 фриспинов для игры в слоты. Как и в случае с другими поощрениями, необходимо отыграть бездепозитный бонус. Вейджер, как правило, не превышает х5 для бесплатных ставок и х30 для фриспинов.
В казино 1win предоставляется внушительный бонус при регистрации, который составляет 500% от суммы первых четырех последовательных депозитов клиента. С таким количеством бонусов новичок может значительно увеличить свои шансы на выигрыш. Чтобы получить этот приветственный бонус, необходимо зарегистрироваться на официальном сайте, рабочем зеркале, мобильной версии или приложениях для мобильных телефонов. Однако, основным условием является совершение первого пополнения счета, так как активировать бонусы 1win можно только после этого.
промокод 1win при пополнение счета: 937999 используйте бонусный код при регистрации и получите бездепозтный бонус 70 фриспинов. Да, при использовании кода 1Win вы можете получить различные поощрения, включая бездепозитные бонусы. Они обычно представлены в виде фрибетов или фриспинов. Для их активации не требуется дополнительное пополнение счета. Размер таких подарков невелик: бесплатных вращений не более 70. Вейджер на бездепозитный бонус обычно не превышает х35. В 1Win вы можете получить бонусы за участие в акциях, турнирах, розыгрышах и активацию промокода. Бонусная программа периодически обновляется. Кроме того, некоторые акции имеют сезонный характер.
В 1Win основная бонусная программа включает в себя фриспины. Чтобы получить 70FS, необходимо пополнить счет на 100 рублей или более. Игроку предоставляется 2 дня с момента регистрации для активации презента. Отыгрыш бонуса должен быть выполнен в течение 24 часов с момента начисления, с вейджером х35. Бесплатные вращения предназначены только для игр провайдера Microgaming.
Так как бонусная программа 1Win регулярно обновляется, список акций, в которых можно получить фриспины, постоянно расширяется. Более подробную информацию о них можно найти на нашем сайте.
Промокод на 1Win дает возможность получить бесплатные вращения. Их можно использовать в любых слотах из каталога казино. Иногда могут быть установлены ограничения, которые предусматривают использование фриспинов только в определенных слотах или играх конкретного провайдера. Фриспины начисляются с фиксированной ставкой. Отыгрыш выигрыша, полученного с помощью бесплатных вращений, обязателен с учетом установленного вейджера.
Вся информация взята с сайта; https://familylab-spa.ru/blog/articles/promokod_350.html
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