;; gorilla-repl.fileformat = 1

;; **
;;; # Weight convergence
;;; 
;;; Investigate weight convergence on constant learning rate for traditional CD-1.
;; **

;; @@
(ns weight-convergence
  (:require [gorilla-plot.core :as plot]
            [gg4clj.core :as gg4clj]
            [clojure.math.combinatorics :refer [cartesian-product]]
            [cnc.analytics :as a]
            [cnc.execute :as exe]
            [clojure.pprint :refer [pprint]]
            [hasch.core :refer [uuid]]
            [boltzmann.matrix :refer [full-matrix]]
            [clojure.java.shell :refer [sh]]
            [cnc.core :refer [state]]
            [cnc.execute :refer [slurp-bytes]]
            [clojure.core.matrix :as mat]
            [clj-hdf5.core :as hdf5]
            [konserve.protocols :refer [-get-in -bget]]
            [geschichte.platform :refer [<!?]]
            [boltzmann.core :refer [train-cd sample-gibbs]]
            [boltzmann.theoretical :refer [create-theoretical-rbm]]
            [boltzmann.formulas :as f]
            [clojure.core.matrix :refer [dot matrix]]
            [clojure.core.async :refer [chan] :as async]))
(def store (get-in @state [:repo :store]))
(def states (cartesian-product [0 1] [0 1]))
;; @@
;; =>
;;; {"type":"html","content":"<span class='clj-var'>#&#x27;weight-convergence/states</span>","value":"#'weight-convergence/states"}
;; <=

;; @@
(def theo-bm (create-theoretical-rbm [[-2 2] [2 -2]] [0 0] [0 0]))
(def samples (map (partial take 2) (sample-gibbs theo-bm 1e4)))
(def old-samples (<!? (-bget store #uuid "0527b8c6-db13-5275-862e-22a6e940c7e9" #(-> % :input-stream slurp read-string))))
;; @@
;; =>
;;; {"type":"html","content":"<span class='clj-var'>#&#x27;weight-convergence/old-samples</span>","value":"#'weight-convergence/old-samples"}
;; <=

;; @@

(def samples (<!? (-bget store #uuid "05148ca3-9921-5886-b3c9-63937fc64a42" #(-> % :input-stream slurp read-string))))
;; @@
;; =>
;;; {"type":"html","content":"<span class='clj-var'>#&#x27;weight-convergence/samples</span>","value":"#'weight-convergence/samples"}
;; <=

;; @@
(def back-ch (chan 1e6))
(def trad-rbm (train-cd (create-theoretical-rbm 2 6) 
                        samples 
                        :epochs 100 :seed 52 
                        :init-learning-rate 0.005
                        :learning-rate-fn (fn [i s] i) 
                        :back-ch back-ch))
;; @@
;; =>
;;; {"type":"html","content":"<span class='clj-var'>#&#x27;weight-convergence/trad-rbm</span>","value":"#'weight-convergence/trad-rbm"}
;; <=

;; @@
(async/close! back-ch)
(def history (<!? (async/into [] back-ch)))
;; @@
;; =>
;;; {"type":"html","content":"<span class='clj-var'>#&#x27;weight-convergence/history</span>","value":"#'weight-convergence/history"}
;; <=

;; @@
(def weight-traces (take-nth 100 (map (comp flatten first) history)))
;; @@

;; @@
(apply plot/compose 
       (map #(plot/list-plot %1 :color %2 :joined true
                             :plot-range [[0 10000] [-15 15]] :plot-size 800)
       (mat/transpose weight-traces)
       ["red" "green" "blue" "orange" "brown" "black" "grey"]))
;; @@
;; =>
;;; 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;; <=

;; @@
(def trad-theo (reduce (fn [f s] (update-in f [(take 2 s)] 
                             (fnil + 0)
                             (f/prob (full-matrix (:restricted-weights trad-rbm)) 
                           (concat (:v-biases trad-rbm) (:h-biases trad-rbm)) s)))
        {}
     (f/state-space 8)))
(map trad-theo states)
;; @@
;; =>
;;; {"type":"list-like","open":"<span class='clj-lazy-seq'>(</span>","close":"<span class='clj-lazy-seq'>)</span>","separator":" ","items":[{"type":"html","content":"<span class='clj-double'>0.21360510559022747</span>","value":"0.21360510559022747"},{"type":"html","content":"<span class='clj-double'>0.31122708375511693</span>","value":"0.31122708375511693"},{"type":"html","content":"<span class='clj-double'>0.2555562634644506</span>","value":"0.2555562634644506"},{"type":"html","content":"<span class='clj-double'>0.21961154719020473</span>","value":"0.21961154719020473"}],"value":"(0.21360510559022747 0.31122708375511693 0.2555562634644506 0.21961154719020473)"}
;; <=

;; @@
(gg4clj/view 
  [[:<- :d (gg4clj/data-frame {:x (map (comp str vec) 
                      (apply concat (repeat 2 states)))    
                               :y (vec (concat (map (a/sample-freqs samples) states) (map trad-theo states)))
                               :z (vec (concat (repeat (count states) "samples") (repeat (count states) "theo")))})]
  (gg4clj/r+ [:ggplot :d [:aes {:x :x :y :y :fill :z}]]
                        [:geom_bar {:stat "identity" :position (keyword "position_dodge()")}])])
	
;; @@
;; =>
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