mikemccand commented on code in PR #15979:
URL: https://github.com/apache/lucene/pull/15979#discussion_r3690999210


##########
lucene/sandbox/src/java/org/apache/lucene/sandbox/codecs/dedup/DedupGroup.java:
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@@ -0,0 +1,105 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.lucene.codecs.lucene106.dedup;
+
+import java.io.IOException;
+import java.util.ArrayList;
+import java.util.List;
+import org.apache.lucene.internal.hppc.LongIntHashMap;
+import org.apache.lucene.internal.hppc.ObjectCursor;
+import org.apache.lucene.util.Accountable;
+
+/**
+ * Interns vectors so that each distinct value is stored once. {@link 
#addUnique} returns the group
+ * ordinal for a vector, adding it (via {@link #copy}) only if not already 
present. Callers with the
+ * same {@code (dimension, encoding)} share a group, so an identical vector 
across fields is stored
+ * a single time.
+ *
+ * <p>Not thread-safe; a group is confined to the writer that created it.
+ *
+ * @lucene.experimental
+ */
+abstract sealed class DedupGroup<T> implements Accountable
+    permits DedupFlushContext.ByteGroup,
+        DedupFlushContext.FloatGroup,
+        DedupFlushContext.Float16Group,
+        DedupMergeContext.DedupMergeGroup {
+
+  /**
+   * Map for vector hash -> group ord. Only a hint and not the ground truth 
due to possibility of
+   * hash collisions, where a full equality check must be performed.

Review Comment:
   Cool, I hadn't realized the birthday paradox applies to hash tables, but it 
clearly does!  Only 23 people in a [365.2422 sized hash 
table](https://en.wikipedia.org/wiki/Year#:~:text=%5B5%5D-,Revised%20Julian%20calendar,-The%20Revised%20Julian)
 and you have a 50% chance of a "collision" (two people with same birthday).  
So that is the best-case for hash functions (when there is truly no correlation 
b/w hash function and input vectors, so the hash locations are effectively 
random-like).
   
   And yet we size our hash table arrays for X (75? 50?) % occupancy before 
growing, far higher than 23 / 365.2422 = ~6.297% occupancy.  But that's OK, the 
23 people figure just means when you did those 23 inserts, did any of them hit 
a false collision (and need linear probing).  Seen more positively, there is a 
50% chance that those 23 inserts had no conflict...



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