Timeline for Minimum volume of intersection between two high-dim $\ell^1$-balls
Current License: CC BY-SA 4.0
11 events
when toggle format | what | by | license | comment | |
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May 30, 2019 at 21:06 | comment | added | Alanwang | The result of $l_1$ distance looks really interesting. Could you provide more details (e.g., in terms of what theorem or proof) about the inequality $$ \sum_i v_i (B_1(s,\varepsilon e_i)\cap K)\subset B_1(s,v)\cap K $$ | |
May 30, 2019 at 18:48 | comment | added | fedja | The $\ell^1$ distance has been discussed at mathoverflow.net/questions/331980/… The other two cases look more interesting. | |
May 30, 2019 at 17:31 | comment | added | Alanwang | The distance can be $L_1$ or $L_2$. The two balls have the same radius. Given the fixed distance, the two balls can have different overlaps. The aim is to find the minimum overlap between the two balls. | |
May 30, 2019 at 14:26 | comment | added | Alanwang | $L_1$, $L_2$, or $L_{infinity}$ | |
May 30, 2019 at 7:11 | comment | added | Sahil Kumar | What is the meaning of "minimum volume" here? Minimum with respect to different radius balls? | |
May 30, 2019 at 5:23 | comment | added | Martin Sleziak | I will point out that the (geometry) tag is deprecated - see the tag-info. (However, I'll leave the choice of a suitable geometry-related top-level tags to more experienced users.) | |
May 30, 2019 at 1:46 | comment | added | fedja | Distance in what norm? | |
May 30, 2019 at 0:18 | history | edited | LSpice | CC BY-SA 4.0 |
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May 29, 2019 at 22:10 | review | Close votes | |||
May 30, 2019 at 0:18 | |||||
May 29, 2019 at 20:55 | review | First posts | |||
May 29, 2019 at 21:52 | |||||
May 29, 2019 at 20:51 | history | asked | Alanwang | CC BY-SA 4.0 |