diff --git a/infer/src/bufferoverrun/bufferOverrunModels.ml b/infer/src/bufferoverrun/bufferOverrunModels.ml
index a25564d44..c00847372 100644
--- a/infer/src/bufferoverrun/bufferOverrunModels.ml
+++ b/infer/src/bufferoverrun/bufferOverrunModels.ml
@@ -664,6 +664,13 @@ module Collection = struct
 
   let add coll_id = {exec= change_size_by ~size_f:Itv.incr coll_id; check= no_check}
 
+  (** increase the size by [0, 1] because put replaces the value
+     rather than add a new one when the key is found in the map *)
+  let put coll_id =
+    let zero_one = Itv.set_lb_zero Itv.one in
+    {exec= change_size_by ~size_f:(Itv.plus zero_one) coll_id; check= no_check}
+
+
   let size coll_exp =
     let exec _ ~ret:(ret_id, _) mem =
       let result = eval_collection_length coll_exp mem in
@@ -769,6 +776,9 @@ module Call = struct
       ; -"infer_print" <>$ capt_exp $!--> infer_print
       ; -"malloc" <>$ capt_exp $+...$--> malloc ~can_be_zero:false
       ; -"calloc" <>$ capt_exp $+ capt_exp $!--> calloc ~can_be_zero:false
+      ; -"__new"
+        <>$ capt_exp_of_typ (+PatternMatch.implements_pseudo_collection)
+        $+...$--> Collection.new_collection
       ; -"__new"
         <>$ capt_exp_of_typ (+PatternMatch.implements_collection)
         $+...$--> Collection.new_collection
@@ -860,6 +870,8 @@ module Call = struct
         &:: "remove" <>$ capt_var_exn $+ capt_exp $--> Collection.remove_at_index
       ; +PatternMatch.implements_collection
         &:: "add" <>$ capt_var_exn $+ any_arg $--> Collection.add
+      ; +PatternMatch.implements_pseudo_collection
+        &:: "put" <>$ capt_var_exn $+ any_arg $+ any_arg $--> Collection.put
       ; +PatternMatch.implements_collection
         &:: "add" <>$ capt_var_exn $+ capt_exp $+ any_arg $!--> Collection.add_at_index
       ; +PatternMatch.implements_lang "Iterable"
@@ -869,5 +881,6 @@ module Call = struct
         &:: "addAll" <>$ capt_var_exn $+ capt_exp $--> Collection.addAll
       ; +PatternMatch.implements_collection
         &:: "addAll" <>$ capt_var_exn $+ capt_exp $+ capt_exp $!--> Collection.addAll_at_index
-      ; +PatternMatch.implements_collection &:: "size" <>$ capt_exp $!--> Collection.size ]
+      ; +PatternMatch.implements_collection &:: "size" <>$ capt_exp $!--> Collection.size
+      ; +PatternMatch.implements_pseudo_collection &:: "size" <>$ capt_exp $!--> Collection.size ]
 end
diff --git a/infer/tests/codetoanalyze/java/performance/CollectionTest.java b/infer/tests/codetoanalyze/java/performance/CollectionTest.java
index 648862b26..fe11dd65a 100644
--- a/infer/tests/codetoanalyze/java/performance/CollectionTest.java
+++ b/infer/tests/codetoanalyze/java/performance/CollectionTest.java
@@ -5,6 +5,7 @@
  * LICENSE file in the root directory of this source tree.
  */
 
+import android.util.SparseArray;
 import java.util.Collection;
 import java.util.concurrent.ConcurrentLinkedQueue;
 
@@ -58,4 +59,14 @@ public class CollectionTest {
       }
     }
   }
+
+  void sparse_array_linear(SparseArray<Integer> arr) {
+    for (int i = 0; i < arr.size(); i++) {}
+  }
+
+  void sparse_array_new_constant() {
+    SparseArray<Integer> new_arr = new SparseArray<Integer>();
+    new_arr.put(1, 1);
+    for (int i = 0; i < new_arr.size(); i++) {}
+  }
 }
diff --git a/infer/tests/codetoanalyze/java/performance/issues.exp b/infer/tests/codetoanalyze/java/performance/issues.exp
index e5b5dc01a..068f0f12b 100644
--- a/infer/tests/codetoanalyze/java/performance/issues.exp
+++ b/infer/tests/codetoanalyze/java/performance/issues.exp
@@ -43,13 +43,14 @@ codetoanalyze/java/performance/CantHandle.java, CantHandle.square_root_FP(int):v
 codetoanalyze/java/performance/CantHandle.java, CantHandle.square_root_FP(int):void, 3, INTEGER_OVERFLOW_L5, no_bucket, ERROR, [<LHS trace>,Assignment,Binary operation: ([0, +oo] + 1):signed32]
 codetoanalyze/java/performance/CantHandle.java, CantHandle.square_root_variant_FP(int):void, 0, INFINITE_EXECUTION_TIME_CALL, no_bucket, ERROR, [Unbounded loop,Loop at line 25]
 codetoanalyze/java/performance/CantHandle.java, CantHandle.square_root_variant_FP(int):void, 3, INTEGER_OVERFLOW_L5, no_bucket, ERROR, [<LHS trace>,Parameter `x`,Binary operation: ([0, +oo] + 1):signed32]
-codetoanalyze/java/performance/CollectionTest.java, CollectionTest.ensure_call(CollectionTest$MyCollection):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 11 + 5 ⋅ list.length, degree = 1,{list.length},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 16]
-codetoanalyze/java/performance/CollectionTest.java, CollectionTest.iterate_over_call_quad(int,CollectionTest$MyCollection):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 4 + 18 ⋅ (list.length - 1) + 5 ⋅ (list.length - 1) × list.length + 3 ⋅ list.length, degree = 2,{list.length},Loop at line 47,{list.length},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 16,{list.length - 1},Loop at line 47]
-codetoanalyze/java/performance/CollectionTest.java, CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 5 + 5 ⋅ list.length, degree = 1,{list.length},Loop at line 16]
-codetoanalyze/java/performance/CollectionTest.java, CollectionTest.iterate_over_mycollection_quad_FN(java.util.concurrent.ConcurrentLinkedQueue):void, 2, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 4 + 18 ⋅ (mSubscribers.length - 1) + 5 ⋅ (mSubscribers.length - 1) × Iterator.next().length.ub + 3 ⋅ mSubscribers.length, degree = 2,{mSubscribers.length},Loop at line 28,{Iterator.next().length.ub},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 16,{mSubscribers.length - 1},Loop at line 28]
-codetoanalyze/java/performance/CollectionTest.java, CollectionTest.iterate_over_some_java_collection(java.util.concurrent.ConcurrentLinkedQueue):void, 2, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 4 + 8 ⋅ (mSubscribers.length - 1) + 3 ⋅ mSubscribers.length, degree = 1,{mSubscribers.length},Loop at line 21,{mSubscribers.length - 1},Loop at line 21]
-codetoanalyze/java/performance/CollectionTest.java, CollectionTest.loop_over_call(int,CollectionTest$MyCollection):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 2 + 15 ⋅ size + 5 ⋅ size × list.length, degree = 2,{list.length},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 16,{size},Loop at line 40]
-codetoanalyze/java/performance/CollectionTest.java, CollectionTest.nested_iterator_qubic(int,CollectionTest$MyCollection,CollectionTest$MyCollection):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 4 + 13 ⋅ (list1.length - 1) + 28 ⋅ (list1.length - 1) × (list2.length - 1) + 5 ⋅ (list1.length - 1) × (list2.length - 1) × list1.length + 5 ⋅ (list1.length - 1) × (list2.length - 1) × list1.length + 3 ⋅ (list1.length - 1) × list2.length + 3 ⋅ list1.length, degree = 3,{list1.length},Loop at line 54,{list2.length},Loop at line 55,{list1.length},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 16,{list1.length},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 16,{list2.length - 1},Loop at line 55,{list1.length - 1},Loop at line 54]
+codetoanalyze/java/performance/CollectionTest.java, CollectionTest.ensure_call(CollectionTest$MyCollection):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 11 + 5 ⋅ list.length, degree = 1,{list.length},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 17]
+codetoanalyze/java/performance/CollectionTest.java, CollectionTest.iterate_over_call_quad(int,CollectionTest$MyCollection):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 4 + 18 ⋅ (list.length - 1) + 5 ⋅ (list.length - 1) × list.length + 3 ⋅ list.length, degree = 2,{list.length},Loop at line 48,{list.length},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 17,{list.length - 1},Loop at line 48]
+codetoanalyze/java/performance/CollectionTest.java, CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 5 + 5 ⋅ list.length, degree = 1,{list.length},Loop at line 17]
+codetoanalyze/java/performance/CollectionTest.java, CollectionTest.iterate_over_mycollection_quad_FN(java.util.concurrent.ConcurrentLinkedQueue):void, 2, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 4 + 18 ⋅ (mSubscribers.length - 1) + 5 ⋅ (mSubscribers.length - 1) × Iterator.next().length.ub + 3 ⋅ mSubscribers.length, degree = 2,{mSubscribers.length},Loop at line 29,{Iterator.next().length.ub},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 17,{mSubscribers.length - 1},Loop at line 29]
+codetoanalyze/java/performance/CollectionTest.java, CollectionTest.iterate_over_some_java_collection(java.util.concurrent.ConcurrentLinkedQueue):void, 2, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 4 + 8 ⋅ (mSubscribers.length - 1) + 3 ⋅ mSubscribers.length, degree = 1,{mSubscribers.length},Loop at line 22,{mSubscribers.length - 1},Loop at line 22]
+codetoanalyze/java/performance/CollectionTest.java, CollectionTest.loop_over_call(int,CollectionTest$MyCollection):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 2 + 15 ⋅ size + 5 ⋅ size × list.length, degree = 2,{list.length},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 17,{size},Loop at line 41]
+codetoanalyze/java/performance/CollectionTest.java, CollectionTest.nested_iterator_qubic(int,CollectionTest$MyCollection,CollectionTest$MyCollection):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 4 + 13 ⋅ (list1.length - 1) + 28 ⋅ (list1.length - 1) × (list2.length - 1) + 5 ⋅ (list1.length - 1) × (list2.length - 1) × list1.length + 5 ⋅ (list1.length - 1) × (list2.length - 1) × list1.length + 3 ⋅ (list1.length - 1) × list2.length + 3 ⋅ list1.length, degree = 3,{list1.length},Loop at line 55,{list2.length},Loop at line 56,{list1.length},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 17,{list1.length},call to void CollectionTest.iterate_over_mycollection(CollectionTest$MyCollection),Loop at line 17,{list2.length - 1},Loop at line 56,{list1.length - 1},Loop at line 55]
+codetoanalyze/java/performance/CollectionTest.java, CollectionTest.sparse_array_linear(android.util.SparseArray):void, 1, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 2 + 5 ⋅ arr.length + 3 ⋅ (arr.length + 1), degree = 1,{arr.length + 1},Loop at line 64,{arr.length},Loop at line 64]
 codetoanalyze/java/performance/Compound_loop.java, codetoanalyze.java.performance.Compound_loop.compound_while(int):int, 3, CONDITION_ALWAYS_TRUE, no_bucket, WARNING, [Here]
 codetoanalyze/java/performance/Compound_loop.java, codetoanalyze.java.performance.Compound_loop.compound_while(int):int, 3, EXPENSIVE_EXECUTION_CALL, no_bucket, ERROR, [with estimated cost 4 + 5 ⋅ m + 2 ⋅ (1+max(0, m)), degree = 1,{1+max(0, m)},Loop at line 15,{m},Loop at line 15]
 codetoanalyze/java/performance/Compound_loop.java, codetoanalyze.java.performance.Compound_loop.nested_while_and_or(int):int, 3, CONDITION_ALWAYS_TRUE, no_bucket, WARNING, [Here]