BHARAT KHANDELWAL
← When similarity became geometry
Embedding comparison · Qwen and Gemini

What cosine similarity puts in the same pile

The models saw only the sentences. We then checked whether sentences making the same point landed together.

Local Qwen Hosted Gemini
1 · Put same-point sentences together Did each of the five known examples choose another sentence from the right group?
A1Same point: powerThe pursuit of power for its own sake hollows out the one who pursues it.
A2Same point: powerSeeking power as an end rather than a means degrades the seeker.
A3Same point: powerWhen power becomes its own goal, it corrupts whoever chases it.
B1Same point: discoveryA prepared mind turns an accident into a discovery.
B2Same point: discoveryLuck rewards those who are ready to notice it.
C1Same subject, different pointPower concentrates unless it is deliberately checked.
D1Opposite pointsDecentralizing decisions makes an organization more resilient.
D2Opposite pointsCentralizing decisions makes an organization more effective.
E1Unrelated checkThe discipline that builds an enterprise is rarely passed to those who inherit it.
F1Unrelated checkThe dominant medium of an age reshapes how its people think.
Qwen told to group
5 / 5
Qwen given plain sentences
5 / 5
Gemini set to compare meaning
5 / 5
Gemini set to group
5 / 5
2 · Keep a different point farther away Were A1–A3 closer to one another than to C1?
A1Same pointThe pursuit of power for its own sake hollows out the one who pursues it.
A2Same pointSeeking power as an end rather than a means degrades the seeker.
A3Same pointWhen power becomes its own goal, it corrupts whoever chases it.
C1Same subject, different pointPower concentrates unless it is deliberately checked.
Qwen told to group
Yes
A1–A3 stayed closer.
Qwen given plain sentences
Yes
A1–A3 stayed closer.
Gemini set to compare meaning
Yes
A1–A3 stayed closer.
Gemini set to group
Yes
A1–A3 stayed closer.
3 · Avoid confusing opposite points Did A–B, which make the same point, rank above C–D, which disagree?
ASame pointMeasure twice, cut once.
BSame pointCareful preparation prevents costly rework.
COpposite pointsMore choice improves decisions.
DOpposite pointsMore choice impairs decisions.
EOpposite points, different wordsConcentrating authority in a single leader improves collective judgment.
FOpposite points, different wordsThe soundest choices emerge when power is spread across the group.
Qwen told to group
C–D disagree#1
A–B same point#2
Qwen given plain sentences
C–D disagree#1
A–B same point#2
Gemini set to compare meaning
A–B same point#1
C–D disagree#2
Gemini set to group
C–D disagree#1
A–B same point#2
Cosine gathers;
the LLM judges.

Cosine similarity brings related statements into a smaller pile. The pile can mix statements that make the same point, make opposite points, or simply discuss the same subject. An LLM reads the pile and decides which statements truly belong together.

Every setup put 5/5 same-point examples with the right partner. Gemini’s “compare meaning” setting handled one disagreeing pair better, but that advantage did not repeat elsewhere. This was a small test.