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1 | 1 | (ns gen.inference.importance |
2 | | - (:require [clojure.math :as math] |
| 2 | + (:require [gen.choicemap :as choicemap] |
3 | 3 | [gen.distribution.kixi :as dist] |
4 | 4 | [gen.generative-function :as gf])) |
5 | 5 |
|
6 | 6 | ;; This implementation comes from `fastmath.core`, ported here for cljc |
7 | 7 | ;; purposes. |
8 | 8 |
|
9 | | -(defn- logsumexp |
10 | | - "log(exp(x1)+...+exp(xn))." |
11 | | - ^double [xs] |
12 | | - (loop [[^double x & rst] xs |
13 | | - r 0.0 |
14 | | - alpha ##-Inf] |
15 | | - (if (<= x alpha) |
16 | | - (let [nr (+ r (math/exp (- x alpha)))] |
17 | | - (if-not (seq rst) |
18 | | - (+ (math/log nr) alpha) |
19 | | - (recur rst nr alpha))) |
20 | | - (let [nr (inc (* r (math/exp (- alpha x))))] |
21 | | - (if-not (seq rst) |
22 | | - (+ (math/log nr) x) |
23 | | - (recur rst nr (double x))))))) |
| 9 | +(defn ^:nodoc logsumexp |
| 10 | + "log(exp(x1)+...+exp(xn)). This version can handle infinities." |
| 11 | + ([x] x) |
| 12 | + ([x y] |
| 13 | + (if (<= y x) |
| 14 | + (+ x (Math/log (inc (Math/exp (- y x))))) |
| 15 | + (+ y (Math/log (inc (Math/exp (- x y))))))) |
| 16 | + ([x y & more] |
| 17 | + (reduce logsumexp (logsumexp x y) more))) |
24 | 18 |
|
25 | | -(defn resampling [gf args observations n-samples] |
26 | | - ;; https://github.com/probcomp/Gen.jl/blob/master/src/inference/importance.jl#L77...L95 |
27 | | - (let [result (gf/generate gf args observations) |
28 | | - model-trace (volatile! (:trace result)) |
29 | | - log-total-weight (volatile! (:weight result))] |
30 | | - (dotimes [_ (dec n-samples)] |
31 | | - (let [candidate (gf/generate gf args observations) |
32 | | - candidate-model-trace (:trace candidate) |
33 | | - log-weight (:weight candidate)] |
34 | | - (vswap! log-total-weight #(logsumexp [log-weight %])) |
35 | | - (when (dist/bernoulli (math/exp (- log-weight @log-total-weight))) |
36 | | - (vreset! model-trace candidate-model-trace)))) |
37 | | - (let [log-ml-estimate (- @log-total-weight (math/log n-samples))] |
38 | | - {:trace @model-trace |
39 | | - :weight log-ml-estimate}))) |
| 19 | +(defn- proposal-fn |
| 20 | + ([gen-fn args constraints] |
| 21 | + (if (empty? constraints) |
| 22 | + (fn [] |
| 23 | + (gf/propose gen-fn args)) |
| 24 | + (let [constraints (choicemap/choicemap constraints)] |
| 25 | + (fn [] |
| 26 | + (choicemap/merge |
| 27 | + constraints |
| 28 | + (gf/propose gen-fn args))))))) |
| 29 | + |
| 30 | +(defn sampling |
| 31 | + ([gf args {:keys [observations n-samples proposal proposal-args] |
| 32 | + :or {proposal-args [] |
| 33 | + observations choicemap/EMPTY}}] |
| 34 | + ;; TODO do this so it returns a lazy-seq of samples. |
| 35 | + ) |
| 36 | + ([gf args observations n-samples] |
| 37 | + (sampling gf args {:observations observations |
| 38 | + :n-samples n-samples})) |
| 39 | + ([gf args observations proposal proposal-args n-samples] |
| 40 | + (sampling gf args {:observations observations |
| 41 | + :n-samples n-samples |
| 42 | + :proposal proposal |
| 43 | + :proposal-args proposal-args}))) |
| 44 | + |
| 45 | +(defn resampling |
| 46 | + "https://github.com/probcomp/Gen.jl/blob/master/src/inference/importance.jl#L77...L95 |
| 47 | +
|
| 48 | + Run sampling importance resampling, returning a single trace. |
| 49 | +
|
| 50 | + TODO do we actually want a sequence of traces encountered, so that we can |
| 51 | + visualize the path?" |
| 52 | + ([gf args {:keys [observations n-samples proposal proposal-args] |
| 53 | + :or {proposal-args [] |
| 54 | + observations choicemap/EMPTY |
| 55 | + n-samples 10}}] |
| 56 | + (let [constraint-fn (if proposal |
| 57 | + (proposal-fn proposal proposal-args observations) |
| 58 | + (fn [] {:choices observations |
| 59 | + :weight 0.0})) |
| 60 | + {proposal-choices :choices |
| 61 | + proposal-weight :weight} (constraint-fn) |
| 62 | + result (gf/generate gf args proposal-choices)] |
| 63 | + (loop [i (dec n-samples) |
| 64 | + model-trace (:trace result) |
| 65 | + log-total-weight (- (:weight result) proposal-weight)] |
| 66 | + (if (zero? i) |
| 67 | + (let [log-ml-estimate (- log-total-weight (Math/log n-samples))] |
| 68 | + {:trace model-trace |
| 69 | + :weight log-ml-estimate}) |
| 70 | + (let [{proposal-choices :choices |
| 71 | + proposal-weight :weight} (constraint-fn) |
| 72 | + candidate (gf/generate gf args proposal-choices) |
| 73 | + candidate-trace (:trace candidate) |
| 74 | + log-weight (- (:weight candidate) proposal-weight) |
| 75 | + new-weight (logsumexp log-total-weight log-weight) |
| 76 | + new-trace (if (dist/bernoulli (Math/exp (- log-weight new-weight))) |
| 77 | + candidate-trace |
| 78 | + model-trace)] |
| 79 | + (recur (unchecked-dec-int i) new-trace new-weight)))))) |
| 80 | + ([gf args observations n-samples] |
| 81 | + (resampling gf args {:observations observations |
| 82 | + :n-samples n-samples})) |
| 83 | + ([gf args observations proposal proposal-args n-samples] |
| 84 | + (resampling gf args {:observations observations |
| 85 | + :n-samples n-samples |
| 86 | + :proposal proposal |
| 87 | + :proposal-args proposal-args}))) |
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