From f827b4ea87fae1fc44b8a6c6257acd07fb4944af Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 13:08:29 -0500 Subject: [PATCH 01/32] first draft for zarr accumulation extension proposal --- draft/ZEP0005.md | 51 ++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 51 insertions(+) create mode 100644 draft/ZEP0005.md diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md new file mode 100644 index 0000000..16dc356 --- /dev/null +++ b/draft/ZEP0005.md @@ -0,0 +1,51 @@ +--- +layout: default +title: ZEP0005 +description: This ZEP proposes a Zarr extension for an algorithm developed at NASA’s GES DISC for fast and cost-efficient multi-dimensional averaging service -- Zarr-based Chunk-level Accumulation in Reduced Dimensions. +parent: draft ZEPs +nav_order: 5 +--- + +# ZEP 5 — Zarr-based Chunk-level Accumulation in Reduced Dimensions + +Authors: +* Hailiang Zhang ([@hailiangzhang](https://github.com/hailiangzhang)), Adnet Systems Inc, NASA Goddard Space Flight Center. + +Status: Draft + +Type: Specification + +Created: 2023-02-12 + +## Abstract + +At NASA GES DISC, we receive a large number of user requests each day for a variety of analysis and visualization services involving averaging along one or more dimensions, some of which are computationally expensive when running against large amounts of geospatial data. We proposed a generic and dimension-agnostic method based on chunk-level cumulative sums (accumulation) on a regular grid, which provides fast and cost-efficient cloud analysis for multidimensional averaging services. This method introduces a small adjustable set of auxiliary data on top of the raw data, but dramatically reduces the computational time by orders of magnitude based on chunk-level weighted cumulative sums along one or more dimensions. +We hereby propose a Zarr extension for this chunk-level accumulation approach. In this proposal, we will present a Zarr group for the accumulation data, a JSON schema for the accumulation group attribute, a JSON schema for the accumulation data array attribute, and an example of the user application interface. + +## Motivation and Scope + +Performing the averaging operation over data in Zarr generally requires a full scan of the data. This can be parallelized with Dask (or any other distributed framework), but reading all of the data is an unavoidable bottleneck. Our proposed approach, Zarr-based Chunk-level Accumulation, will improve the speed and cost of long-range calculation by loading only a few data chunks at the averaging boundary. Here, we provide examples of how the approach is applied to geospatial data with temporal and spatial dimensions; however, it’s noteworthy that this approach is dimension-agnostic and can be generalized for all types of multidimensional data aggregation services with Zarr. + +## Usage and Impact + +## Backward Compatibility + +## Detailed description + +The fundamental of this Zarr-based Chunk-level Accumulation algorithm is to pre-compute cumulative sums of data values and weights/counts along data dimensions at the chunk intervals. These cumulative sums can then be used to find data averages for dimension ranges. +Example: +For a sequence A=(a, b, c, d), the cumulative sums are S=(s0, s1, s2, s3) where s0=a, s1=a+b, s2=a+b+c, s3=a+b+c+d. The average of the sequence over a range can now be calculated using the cumulative sums, i.e. (S[n]-S[m])/(n-m) where [m,n] is the averaging range. For example, assuming zero-based indexing, average(A[1:3])=(S[3]-S[0])/3=(s3-s0)/3. +The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages O(1) vs O(N^m) for the dimensions being averaged, where N is the number of data values and m is the number of dimensions. See our ESIP 2022 presentation (and the slides) for a more detailed description. + +## Implementation + +## Discussion + + +## References and Footnotes + + + +## Copyright + +This proposal is licensed under the Apache License, Version 2.0. From b3b371e1972de1b685a1e1fb92a15c74918d1ed4 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 13:18:03 -0500 Subject: [PATCH 02/32] provide link for ESIP talk --- draft/ZEP0005.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 16dc356..43d1a7c 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -35,7 +35,7 @@ Performing the averaging operation over data in Zarr generally requires a full s The fundamental of this Zarr-based Chunk-level Accumulation algorithm is to pre-compute cumulative sums of data values and weights/counts along data dimensions at the chunk intervals. These cumulative sums can then be used to find data averages for dimension ranges. Example: For a sequence A=(a, b, c, d), the cumulative sums are S=(s0, s1, s2, s3) where s0=a, s1=a+b, s2=a+b+c, s3=a+b+c+d. The average of the sequence over a range can now be calculated using the cumulative sums, i.e. (S[n]-S[m])/(n-m) where [m,n] is the averaging range. For example, assuming zero-based indexing, average(A[1:3])=(S[3]-S[0])/3=(s3-s0)/3. -The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages O(1) vs O(N^m) for the dimensions being averaged, where N is the number of data values and m is the number of dimensions. See our ESIP 2022 presentation (and the slides) for a more detailed description. +The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages O(1) vs O(N^m) for the dimensions being averaged, where N is the number of data values and m is the number of dimensions. See our [ESIP 2022 presentation](https://www.youtube.com/watch?v=ac_UKunUrNM&t=2250s) (and [the slides](https://docs.google.com/presentation/d/1RNvkIlCFvtoy89OTMzQNn_0jixOpdhnu/edit?usp=sharing&ouid=106287227661991623566&rtpof=true&sd=true)) for a more detailed description. ## Implementation From 6cc94805c6927ef12bffee0e82b520cbaede0c0f Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 13:39:36 -0500 Subject: [PATCH 03/32] Detailed description added --- draft/ZEP0005.md | 170 ++++++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 169 insertions(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 43d1a7c..1a1fb80 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -35,10 +35,178 @@ Performing the averaging operation over data in Zarr generally requires a full s The fundamental of this Zarr-based Chunk-level Accumulation algorithm is to pre-compute cumulative sums of data values and weights/counts along data dimensions at the chunk intervals. These cumulative sums can then be used to find data averages for dimension ranges. Example: For a sequence A=(a, b, c, d), the cumulative sums are S=(s0, s1, s2, s3) where s0=a, s1=a+b, s2=a+b+c, s3=a+b+c+d. The average of the sequence over a range can now be calculated using the cumulative sums, i.e. (S[n]-S[m])/(n-m) where [m,n] is the averaging range. For example, assuming zero-based indexing, average(A[1:3])=(S[3]-S[0])/3=(s3-s0)/3. -The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages O(1) vs O(N^m) for the dimensions being averaged, where N is the number of data values and m is the number of dimensions. See our [ESIP 2022 presentation](https://www.youtube.com/watch?v=ac_UKunUrNM&t=2250s) (and [the slides](https://docs.google.com/presentation/d/1RNvkIlCFvtoy89OTMzQNn_0jixOpdhnu/edit?usp=sharing&ouid=106287227661991623566&rtpof=true&sd=true)) for a more detailed description. +The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages O(1) vs O(N^m) for the dimensions being averaged, where N is the number of data values and m is the number of dimensions. See our ESIP 2022 presentation (and the slides) for a more detailed description. ## Implementation +We propose to formalize this Zarr-based Chunk-level Accumulation approach as a Zarr extension. To implement this approach, cumulative sums are computed at chunk intervals and are stored in a Zarr group. The API for averaging the data fetches the necessary pre-computed sums based on the user-requested dimensions (e.g., time) and dimension ranges (e.g., from 1980 to 1990). +Please note that this solution is also applicable for storing chunk statistics (min, max, sum, count, etc.) to help with performing aggregations. + +### Zarr group structure of accumulation data + +Rather than storing the chunk-level statistics in a separate store, we could store them inline with the arrays they are derived from. This would enable other applications to take advantage of such pre-computed data to optimize queries. This is similar to an optimization in Snowflake ([twitter link](https://twitter.com/teej_m/status/1546591452750159873)). +The accumulation datasets are organized in a data group adjacent to the raw data and dimension arrays with the following structure: +``` +├── ${dimension_array} +├── ... +├── ${raw_dataset} +├── ... +└── ${raw_dataset}_accumulation_group + ├── .zgroup + ├── .zattr + ├── ${accumulation_dataset_1} + │ ├── .zarray + │ ├── .zattr + │ └── ... + ├── ${accumulation_dataset_2} + │ ├── .zarray + │ ├── .zattr + │ └── ... + ... +``` + + where `${dimension_array}` is the data array for the dimension variable, `${raw_dataset}` is the data array for the raw dataset, `${raw_dataset}_accumulation_group` is the group for accumulation, and `${accumulation_dataset_1}` and `${accumulation_dataset_2}` are the data arrays for each accumulation dataset. + +### Zarr attribute file of accumulation group + +The accumulation group attribute file, `${raw_dataset}_accumulation_group/.zattr`, provides details of the accumulation implementation and data organization. It follows the JSON schema shown below: +``` +{ + "$schema": "http://json-schema.org/draft-07/schema#", + "type": "object", + "definitions": { + "accumulation_data_array": { + "type": "object", + "properties": { + "_DATA_UNWEIGHTED": { + "type": "string" + }, + "_DATA_WEIGHTED": { + "type": "string" + }, + "_WEIGHTS": { + "type": "string" + } + }, + "patternProperties": { + "^(?!_DATA_UNWEIGHTED|_DATA_WEIGHTED|_WEIGHTS).*$": { + "$ref": "#/definitions/accumulation_data_array" + } + }, + "additionalProperties": false + } + }, + "properties": { + "_ACCUMULATION_GROUP": { + "type": "object", + "patternProperties": { + "^(?!_DATA_UNWEIGHTED|_DATA_WEIGHTED|_WEIGHTS).*$": { + "$ref": "#/definitions/accumulation_data_array" + } + }, + "additionalProperties": false + } + }, + "required": [ + "_ACCUMULATION_GROUP" + ] +} +``` + +The recursive definition (`#/definitions/accumulation_data_array`) under the schema root (`_ACCUMULATION_GROUP`) provides details of the cumulative sum statistics, including the dataset names, accumulation types and dimensions. The keys of its `properties` (`_DATA_UNWEIGHTED`, `_DATA_WEIGHTED`, and `_WEIGHTS`) indicate the cumulative sum types (for unweighted data, weighted data, and weights respectively), whereas its values give the cumulative sum dataset names. The accumulation dimension names are saved in the keys of its `patternProperties` along the recursion chain; it is noteworthy that these dimension names need to be ordered to avoid ambiguity and redundancy. + +An example of the above zarr attribute file is given as follows. The data has three dimensions including *latitude*, *longitude* and *time*. The cumulative sums are computed for the weighted data (`_DATA_WEIGHTED`) and weights (`_WEIGHTS`). If we want to provide the time-averaged map and area-averaged time series, the accumulation is only needed for the dimension combinations of *latitude*, *longitude*, *time*, and *latitude*+*longitude*; all other dimension combinations (e.g. *latitude*+*time*, *longitude*+*time*, and *latitude*+*longitude*+*time*) are empty (`{}`). +``` +{ + "_ACCUMULATION_GROUP": { + "latitude": { + "_DATA_WEIGHTED": "acc_lat", + "_WEIGHTS": "acc_wt_lat", + "longitude": { + "_DATA_WEIGHTED": "acc_lat_lon", + "_WEIGHTS": "acc_wt_lat_lon", + "time": {} + }, + "time": {} + }, + "longitude": { + "_DATA_WEIGHTED": "acc_lon", + "_WEIGHTS": "acc_wt_lon", + "time": {} + }, + "time": { + "_DATA_WEIGHTED": "acc_time", + "_WEIGHTS": "acc_wt_time" + } + } +} +``` + +### Zarr attribute file of accumulation data array + +With Zarr-based chunk-level accumulation, the cumulative sums are not necessarily computed for every single chunk. To further reduce the computation and storage cost for the accumulation data, the cumulative sums can be computed every certain number of chunks, and we call this tunable number the *accumulation stride*. This information is saved in the Zarr attribute file for the accumulation dataset (e.g., ``${raw_dataset}_accumulation_group/{accumulation_dataset_1}/.zattr``). + +As mentioned above, the dimension labels are needed to identify the accumulation datasets. We assume that the dimensions are defined in the attributes of the dataset as `_ARRAY_DIMENSIONS` as from [the xarray implementation](https://docs.xarray.dev/en/stable/internals/zarr-encoding-spec.html). In the present approach, the accumulation stride is saved in an object called `_ACCUMULATION_STRIDE` in parallel with `_ARRAY_DIMENSIONS`. The related schema segment of this attribute file is shown as follows: +``` +{ + "$schema":"http://json-schema.org/draft-07/schema#", + "type":"object", + "properties":{ + "_ARRAY_DIMENSIONS":{ + "type":"array", + "items":{ + "type":"string" + } + }, + "_ACCUMULATION_STRIDE":{ + "type":"array", + "items":{ + "type":"integer" + } + } + }, + "required":[ + "_ARRAY_DIMENSIONS", + "_ACCUMULATION_STRIDE" + ] +} +``` + +The `_ARRAY_DIMENSIONS` and `_ACCUMULATION_STRIDE` arrays should have the same length. Each item in the `_ACCUMULATION_STRIDE` array represents the accumulation stride along the dimension from the `_ARRAY_DIMENSIONS` array at the same index. The value of accumulation stride should be a non-negative integer: a positive value represents the accumulation stride as defined above, whereas a value of 0 indicates the accumulation is not performed along the given dimension. + +For example, the following attribute file represents the accumulation that is performed along only the time dimension every other chunk: +``` +{ + "_ARRAY_DIMENSIONS":[ + "latitude", + "longitude", + "time" + ], + "_ACCUMULATION_STRIDE":[ + 0, + 0, + 2 + ] +} +``` + + +and the following attribute file represents the accumulation that is performed along the latitude dimension for each chunk, and along longitude dimension every 3 chunks: +``` +{ + "_ARRAY_DIMENSIONS":[ + "latitude", + "longitude", + "time" + ], + "_ACCUMULATION_STRIDE":[ + 1, + 3, + 0 + ] +} +``` + ## Discussion From ab7ebe55790b6a77c684a175600f3cfd66ee6137 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 13:59:04 -0500 Subject: [PATCH 04/32] Application interace 1 added 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and the following attribute file represents the accumulation that is performed along the latitude dimension for each chunk, and along longitude dimension every 3 chunks: ``` { @@ -207,6 +206,14 @@ and the following attribute file represents the accumulation that is performed a } ``` +### Application Interface + +The accumulation-based workflow requires the application to locate the accumulation data along certain dimensions. The accumulation data array name for the given dimensions can be obtained from the accumulation group attributes. The following example shows the steps to get the weighted accumulation data array name along *latitude*+*longitude* dimensions: + +![accumulation app interface 1](../assets/images/Zarr_accumulation-App_Interface-1.png) + + + ## Discussion From 72cf5de53ce5e238c4f4a2b3b99ef61df71304d0 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:04:48 -0500 Subject: [PATCH 05/32] adjust image size --- draft/ZEP0005.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index e42bec1..6bcedbf 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -210,7 +210,7 @@ and the following attribute file represents the accumulation that is performed a The accumulation-based workflow requires the application to locate the accumulation data along certain dimensions. The accumulation data array name for the given dimensions can be obtained from the accumulation group attributes. The following example shows the steps to get the weighted accumulation data array name along *latitude*+*longitude* dimensions: -![accumulation app interface 1](../assets/images/Zarr_accumulation-App_Interface-1.png) +accumulation app interface 1 From 4277f4d5e38406ceb01c19b3e9d3e6bb57197c80 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:07:27 -0500 Subject: [PATCH 06/32] adjust image size --- .../Zarr_accumulation-App_Interface-1.png | Bin 262497 -> 142420 bytes draft/ZEP0005.md | 2 +- 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/assets/images/Zarr_accumulation-App_Interface-1.png b/assets/images/Zarr_accumulation-App_Interface-1.png index 981e2abafbb47f8334d74a1fb3aec2a2f4041dac..4ff6196ac8aa0b49b7569abee4dce526996b667a 100644 GIT binary patch literal 142420 zcmeGDg;yQR_5}*#7MuXV-7R=lc!QD0<+}+*X0|a*o?j*Pbcsu8w-?`_0 z-}@6DWAxZXRjsP7T3ywv=A0d&tSE(ogpULP0f8bTEv^ay0c8)q4iMnLInQz*iXkA7 zTCK#ylx4)kNR^!&%&lzAARwe8l2hT8)wFR(F1?S*@~DDQ^SDKLAq#_vg}quZKS%MN6GUmqhM9)e9%7hU-(`7ZuwXoOuckn zPrc-LZ?5w>6GNDqG)pHTGC;>uB}EoM`5qxg$hfSde}RNl{sJl7z=MgwPEP)wl#Bgs zV{;4o`<~C5m+I-()|;lwV#%`}?jdv_QX`P5EtaRk#JKgTiUOhz*DvK#ay1ALBr~SF8HHcY2PovHe zY!rLHI=>0G8G;Cy3>hR)_s&)k9=YW$;HAEO42QH5h711k&O;bkRhVlOMpYQzPZ)wy zIGDc<(kZjB(`;6UR3{kItUkP(63`q;M*2}C6N8bzS_<<0bMwsH$JLZ6j zZR#T!_dc=j@Nj){ACWeL5D@|$(ed(yzs3uiLTQWKp+jE<|ISmUMUo8$kqJ@;n|_zI zgjR>a7Bf?(Qipy)&I(`_S;}KR5}Zdv5p&2@`iMl`r>=#|6>`{*oQ4?I%leZ%4ehYk z(^0S!mN}$iyTB3J2eBJ*E97}Q_2&nq-1o{HNs#0CL&A^w{VFo0>Pa7(@B!iUB7nRT z<;ha6c{_CyYnWS%7zwrSE{&Y4L`1={63*Xwjuwt4kJxUET%g;reF-+=h$Z}o;#qk= zFhmoChRF2(WR+uuO~d>~_RZ=W_BZ`+qz3{xQAI|Rwam+;w&Ywy9Z(&39ca37UE$~b zsGmn1KV?!+Asq(18>s`T>OtD0UC>@YRTFTBKY!8eJ>5P31^GbPiQYqO7$_7d6n8m{ z_Jamt90n_pfGo3@ijl^aija~6%N_#`5lb99A8#h;gP1%`HAM>MX}D&1T(|@F`}fG$ zdf4RHFi1Aove>ZpC2r2~`GFo3cf}Dh3^jRdqXe zyI8lpJH&H%-rCqA#iS{uENI?yUXymO_JDTs4T1JlSE(CIuT8IGFTUHUQ9HQjVjKX&*V*qdD~)v>YCm!z~9t%5tt+%^P!A zS32--c@zPwenDdeA`VbanzqPfjJ1}fTXh~w&PmQ4n&X=@Ht;v-G)NtoI zn{M}Wadt~=&vJa8+gKGCcnN>L_B6ltxJI2K`1$eXv$wj}jpwXDqJaO+*)`iwV{d?` zz%AF+ffvaYv9Zp_xpb-Y8XsHVLBSH=Vc!iO%}0Y9u}9b^>?hZUil>pM)JGx2kI38b z^Kj8{ys*^>ogab`kq}pj=LcrZfLffDGoMqp0ew|uh4Dx6_3aDA&B`RI80-1^KC%u zT1(qjE>m^Azx8YDFOQywormt=HpB`{dunScB+LwuqYO|c3^a`Mz_Q%**)eafKQQDT zC!I;B`RK{GYA8Kwnn^{c-@u6tFOe|Ehw_n~FH?VrSk9>EOaX8I!O6|pz^SW^uWf)I z&4AT`c7dYl(=E?dP*0Fh=0UOsh>QFub`qjN34D=eVVp&58{Ii0@!#x(s>%VB>! zW=1~|Jh7Up%e>X-L(4*XS%Q6por%rFfTB^YyV4WcR_?^v$ZO_0fnUJ+XalzdS1r&P z+sbURQFCgygj?g^Lgpvt+-?85`a9qfs;7cUnGqfL#@1y^>zBZjci%lx1|iq^%1u+e zu1CRWb7|qxwfWQmfza}c^3y;IQ<*MrGq1x&4@!qZ>-nZz&3RZ9Ao4mA-tF7gOl@L! zgX3X`zMPvr3y`sFSz(=NZ9@}ZXSH#}W4c)&XJU5zBIP-0>2hJE!|L)u@S^+TW%K!z z-i0BOUhswXp{|9kwmxsXv3w8WPWU3g0)7{@`DO5->>z$IFJH{CJY>N)tN^uTv2}i) zaE7P838y-F0hL7GqwzXztFD;$w0+!5$9D$ksOR>3XnIU&ix0yof1h&Kbb~HY&09%L z5tmCCWr9GGU=IKJD`rOf6ikklm79a$OVlLGf(6P{N{$*|%Ps#epVvnR+$-j2{rCEW zZG$}=-|Gwaf9wZOxa&~p@>K`xwYhO_pX_s)uZ7qUFHIS^claH^?Mm({9A==LE1sA5 zyFT5zggHwMFs14$WL0NP>R-1{xqG`Bwx7E{pAao(Ww;MqxNSsrEv+@wmei!KJ^%JQ zcv(VoB9Z6Udq%h}{aJUl3!>pwD)(!6sOp|>yVUD3^nac^DnWz)1kK`~`uo-M;~Uxt5((3%vMB)nmip}%*-W7Wah ziF@p&&M^6KcIUL05Uat1$o0UFxac^$oE;$)1;&@?XT7JP9l7hJ_?ozGGv8-wmMeW@Dut@gP4mF4;M5P7fMKjRG+ z&JATeEGXL!9Lj2#X~~!?C_vDI(+CidVO9_@;1neI!Utav5YV7d2zc->CioK1h5Elz zDEnOKf6@nkDvGFy$;g0z)l8hs%

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The accumulation data array name for the given dimensions can be obtained from the accumulation group attributes. The following example shows the steps to get the weighted accumulation data array name along *latitude*+*longitude* dimensions: -accumulation app interface 1 +accumulation app interface 1 From 59dcc352e9946b883c9029f9303c50ef46124452 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:10:38 -0500 Subject: [PATCH 07/32] adjust image size --- draft/ZEP0005.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 9d406ed..6b78206 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -210,7 +210,7 @@ and the following attribute file represents the accumulation that is performed a The accumulation-based workflow requires the application to locate the accumulation data along certain dimensions. The accumulation data array name for the given dimensions can be obtained from the accumulation group attributes. The following example shows the steps to get the weighted accumulation data array name along *latitude*+*longitude* dimensions: -accumulation app interface 1 +accumulation app interface 1 From 0709ee1072a7a15a69c9db849c314c5099b6a480 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:13:15 -0500 Subject: [PATCH 08/32] adjust image size --- draft/ZEP0005.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 6b78206..9d406ed 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -210,7 +210,7 @@ and the following attribute file represents the accumulation that is performed a The accumulation-based workflow requires the application to locate the accumulation data along certain dimensions. The accumulation data array name for the given dimensions can be obtained from the accumulation group attributes. The following example shows the steps to get the weighted accumulation data array name along *latitude*+*longitude* dimensions: -accumulation app interface 1 +accumulation app interface 1 From e1b9ba86097ca05702b18aa2fcb3ade160397e31 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:14:17 -0500 Subject: [PATCH 09/32] Application interace 2 added --- .../Zarr_accumulation-App_Interface-2.png | Bin 0 -> 179005 bytes draft/ZEP0005.md | 2 ++ 2 files changed, 2 insertions(+) create mode 100644 assets/images/Zarr_accumulation-App_Interface-2.png diff --git a/assets/images/Zarr_accumulation-App_Interface-2.png b/assets/images/Zarr_accumulation-App_Interface-2.png new file mode 100644 index 0000000000000000000000000000000000000000..694ac4863e271363294e947e301d2d90079c0e37 GIT binary patch literal 179005 zcmeFYWmH_t(m#y56D$mFAvgpW7&LeYl8^+qU?KPbgS*?{76vDf1a}!U1a}DT?(Y7d zob$+i?mge$ukWn2*WRG#3g`*fq1k3 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literal 0 HcmV?d00001 diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 9d406ed..7b37ba5 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -212,7 +212,9 @@ The accumulation-based workflow requires the application to locate the accumulat accumulation app interface 1 +The accumulation stride is also needed to locate the accumulation data for a given chunk number. They can be obtained from the accumulation data attributes, and the following example shows the steps to get the accumulation stride for the accumulation data along *latitude*+*longitude* dimensions: +accumulation app interface 2 ## Discussion From 916add81c464347417a81f4595e2c3b0abfc41a5 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:15:51 -0500 Subject: [PATCH 10/32] adjust image size --- .../Zarr_accumulation-App_Interface-1.png | Bin 142420 -> 260995 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/assets/images/Zarr_accumulation-App_Interface-1.png b/assets/images/Zarr_accumulation-App_Interface-1.png index 4ff6196ac8aa0b49b7569abee4dce526996b667a..7db5d05df34aad6d84e65bc97382fffdb726fe11 100644 GIT binary patch literal 260995 zcmeFYWmp_bx3G;%kU^^-8B#xJOr0uL4qW>+u#}qZUYPsgZn!< z?{oIv&pFTg|NHUHb@kOf-L4xQN7vBSCmuNV+oj282*=GAkQ72J z3a6CtZNN{$lftAyebG|e7-}ymi;{|JjIZg!7F_W{la&>T=sP=@wxA*wRkOw)0PH>r 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From 01def4cb9939a484bbafc0fd39552aab7cfd7b59 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:17:44 -0500 Subject: [PATCH 12/32] adjust image size --- draft/ZEP0005.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 7b37ba5..c9c39fd 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -210,11 +210,11 @@ and the following attribute file represents the accumulation that is performed a The accumulation-based workflow requires the application to locate the accumulation data along certain dimensions. The accumulation data array name for the given dimensions can be obtained from the accumulation group attributes. The following example shows the steps to get the weighted accumulation data array name along *latitude*+*longitude* dimensions: -accumulation app interface 1 +accumulation app interface 1 The accumulation stride is also needed to locate the accumulation data for a given chunk number. They can be obtained from the accumulation data attributes, and the following example shows the steps to get the accumulation stride for the accumulation data along *latitude*+*longitude* dimensions: -accumulation app interface 2 +accumulation app interface 2 ## Discussion From 86f585ac417e7a65a93b6fb65c5514a8abf7855b Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:18:15 -0500 Subject: [PATCH 13/32] adjust image size --- draft/ZEP0005.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index c9c39fd..041ff61 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -214,7 +214,7 @@ The accumulation-based workflow requires the application to locate the accumulat The accumulation stride is also needed to locate the accumulation data for a given chunk number. They can be obtained from the accumulation data attributes, and the following example shows the steps to get the accumulation stride for the accumulation data along *latitude*+*longitude* dimensions: -accumulation app interface 2 +accumulation app interface 2 ## Discussion From 9bf3aae6ad39a62c75b41d62e4d273a28a99d02b Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:54:03 -0500 Subject: [PATCH 14/32] Reference added --- draft/ZEP0005.md | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 041ff61..b8dc473 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -216,12 +216,13 @@ The accumulation stride is also needed to locate the accumulation data for a giv accumulation app interface 2 -## Discussion - - ## References and Footnotes +* ESIP Summer 2022 Presentation on *Zarr-based chunk-level cumulative sums in reduced dimensions for fast high-resolution data analysis*: + *[Abstract](https://2022esipjulymeeting.sched.com/event/12etJ/advances-and-challenges-of-cloud-native-data-including-analysis-ready-cloud-optimized-or-arco-formats-and-access-part-1-presentations) + *[Slides](https://docs.google.com/presentation/d/1RNvkIlCFvtoy89OTMzQNn_0jixOpdhnu/edit?usp=sharing&ouid=106287227661991623566&rtpof=true&sd=true) + *[Video](https://www.youtube.com/watch?v=ac_UKunUrNM&t=2250s) - +* [Xarray Zarr Encoding Specification](https://docs.xarray.dev/en/stable/internals/zarr-encoding-spec.html) ## Copyright From d344180265da503093e5e441cf67dba128aa3bbe Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:55:11 -0500 Subject: [PATCH 15/32] Reference formatted --- draft/ZEP0005.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index b8dc473..b1931a2 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -218,9 +218,9 @@ The accumulation stride is also needed to locate the accumulation data for a giv ## References and Footnotes * ESIP Summer 2022 Presentation on *Zarr-based chunk-level cumulative sums in reduced dimensions for fast high-resolution data analysis*: - *[Abstract](https://2022esipjulymeeting.sched.com/event/12etJ/advances-and-challenges-of-cloud-native-data-including-analysis-ready-cloud-optimized-or-arco-formats-and-access-part-1-presentations) - *[Slides](https://docs.google.com/presentation/d/1RNvkIlCFvtoy89OTMzQNn_0jixOpdhnu/edit?usp=sharing&ouid=106287227661991623566&rtpof=true&sd=true) - *[Video](https://www.youtube.com/watch?v=ac_UKunUrNM&t=2250s) + * [Abstract](https://2022esipjulymeeting.sched.com/event/12etJ/advances-and-challenges-of-cloud-native-data-including-analysis-ready-cloud-optimized-or-arco-formats-and-access-part-1-presentations) + * [Slides](https://docs.google.com/presentation/d/1RNvkIlCFvtoy89OTMzQNn_0jixOpdhnu/edit?usp=sharing&ouid=106287227661991623566&rtpof=true&sd=true) + * [Video](https://www.youtube.com/watch?v=ac_UKunUrNM&t=2250s) * [Xarray Zarr Encoding Specification](https://docs.xarray.dev/en/stable/internals/zarr-encoding-spec.html) From 7b70d99e4beda5cb0738f8ad6ca388c9ed2f90eb Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:57:37 -0500 Subject: [PATCH 16/32] Reference formatted --- draft/ZEP0005.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index b1931a2..a17de8f 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -222,7 +222,8 @@ The accumulation stride is also needed to locate the accumulation data for a giv * [Slides](https://docs.google.com/presentation/d/1RNvkIlCFvtoy89OTMzQNn_0jixOpdhnu/edit?usp=sharing&ouid=106287227661991623566&rtpof=true&sd=true) * [Video](https://www.youtube.com/watch?v=ac_UKunUrNM&t=2250s) -* [Xarray Zarr Encoding Specification](https://docs.xarray.dev/en/stable/internals/zarr-encoding-spec.html) +* [*Xarray* Zarr Encoding Specification](https://docs.xarray.dev/en/stable/internals/zarr-encoding-spec.html) +* [*Snowflake* table statistics](https://twitter.com/teej_m/status/1546591452750159873) ## Copyright From eefc70870976a36743da552be1c28c8dd91dbb78 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:58:38 -0500 Subject: [PATCH 17/32] Remove unused sections --- draft/ZEP0005.md | 4 ---- 1 file changed, 4 deletions(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index a17de8f..629417b 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -26,10 +26,6 @@ We hereby propose a Zarr extension for this chunk-level accumulation approach. I Performing the averaging operation over data in Zarr generally requires a full scan of the data. This can be parallelized with Dask (or any other distributed framework), but reading all of the data is an unavoidable bottleneck. Our proposed approach, Zarr-based Chunk-level Accumulation, will improve the speed and cost of long-range calculation by loading only a few data chunks at the averaging boundary. Here, we provide examples of how the approach is applied to geospatial data with temporal and spatial dimensions; however, it’s noteworthy that this approach is dimension-agnostic and can be generalized for all types of multidimensional data aggregation services with Zarr. -## Usage and Impact - -## Backward Compatibility - ## Detailed description The fundamental of this Zarr-based Chunk-level Accumulation algorithm is to pre-compute cumulative sums of data values and weights/counts along data dimensions at the chunk intervals. These cumulative sums can then be used to find data averages for dimension ranges. From cf683639941a8ec475b9b31b2895ac9230fac461 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Sun, 12 Feb 2023 14:59:50 -0500 Subject: [PATCH 18/32] Add more authors --- draft/ZEP0005.md | 1 + 1 file changed, 1 insertion(+) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 629417b..3fd9df1 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -10,6 +10,7 @@ nav_order: 5 Authors: * Hailiang Zhang ([@hailiangzhang](https://github.com/hailiangzhang)), Adnet Systems Inc, NASA Goddard Space Flight Center. +* More authors... Status: Draft From 87e6d1d92b18946003c4097c8895a78d222330a3 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 10:09:14 -0500 Subject: [PATCH 19/32] format example --- draft/ZEP0005.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 3fd9df1..734877d 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -20,7 +20,7 @@ Created: 2023-02-12 ## Abstract -At NASA GES DISC, we receive a large number of user requests each day for a variety of analysis and visualization services involving averaging along one or more dimensions, some of which are computationally expensive when running against large amounts of geospatial data. We proposed a generic and dimension-agnostic method based on chunk-level cumulative sums (accumulation) on a regular grid, which provides fast and cost-efficient cloud analysis for multidimensional averaging services. This method introduces a small adjustable set of auxiliary data on top of the raw data, but dramatically reduces the computational time by orders of magnitude based on chunk-level weighted cumulative sums along one or more dimensions. +At NASA GES DISC, we receive a large number of user requests each day for a variety of analysis and visualization services involving averaging along one or more dimensions, some of which are computationally expensive when running against large amounts of geospatial data. We proposed a generic and dimension-agnostic method based on chunk-level cumulative sums (accumulation) on a regular grid, which provides fast and cost-efficient cloud analysis for multidimensional averaging services. This method introduces a small adjustable set of auxiliary data on top of the raw data, and dramatically reduces the computational time by orders of magnitude based on chunk-level accumulation along one or more dimensions. We hereby propose a Zarr extension for this chunk-level accumulation approach. In this proposal, we will present a Zarr group for the accumulation data, a JSON schema for the accumulation group attribute, a JSON schema for the accumulation data array attribute, and an example of the user application interface. ## Motivation and Scope @@ -31,7 +31,7 @@ Performing the averaging operation over data in Zarr generally requires a full s The fundamental of this Zarr-based Chunk-level Accumulation algorithm is to pre-compute cumulative sums of data values and weights/counts along data dimensions at the chunk intervals. These cumulative sums can then be used to find data averages for dimension ranges. Example: -For a sequence A=(a, b, c, d), the cumulative sums are S=(s0, s1, s2, s3) where s0=a, s1=a+b, s2=a+b+c, s3=a+b+c+d. The average of the sequence over a range can now be calculated using the cumulative sums, i.e. (S[n]-S[m])/(n-m) where [m,n] is the averaging range. For example, assuming zero-based indexing, average(A[1:3])=(S[3]-S[0])/3=(s3-s0)/3. +For a sequence `A=(a, b, c, d)`, the cumulative sums are `S=(s0, s1, s2, s3)` where `s0=a, s1=a+b, s2=a+b+c, s3=a+b+c+d`. The average of the sequence over a range can now be calculated using the cumulative sums. For example, assuming zero-based indexing, average `(A[1:3])=(S[3]-S[0])/3=(s3-s0)/3`. The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages O(1) vs O(N^m) for the dimensions being averaged, where N is the number of data values and m is the number of dimensions. See our ESIP 2022 presentation (and the slides) for a more detailed description. ## Implementation From ee51df936e5f03be93f0856f2438a41b1f77d74d Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 14:04:33 -0500 Subject: [PATCH 20/32] Add authors --- draft/ZEP0005.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 734877d..99a2ae6 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -10,7 +10,10 @@ nav_order: 5 Authors: * Hailiang Zhang ([@hailiangzhang](https://github.com/hailiangzhang)), Adnet Systems Inc, NASA Goddard Space Flight Center. -* More authors... +* Mahabal Hegde ([@nasahegde](https://github.com/nasahegde), NASA Goddard Space Flight Center. +* Christine Smit ([@christine-e-smit](https://github.com/christine-e-smit), Telophase Co, NASA Goddard Space Flight Center. +* Brianna Pagan ([@briannapagan](https://github.com/briannapagan)), Adnet Systems Inc, NASA Goddard Space Flight Center. +* Dieu My Nguyen ([@dieumynguyen](https://github.com/dieumynguyen)), Adnet Systems Inc, NASA Goddard Space Flight Center. Status: Draft From 480a258494d67afbbbbf7d6663efd055b9f10269 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 14:05:28 -0500 Subject: [PATCH 21/32] Format authors list --- draft/ZEP0005.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 99a2ae6..8f80c90 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -10,8 +10,8 @@ nav_order: 5 Authors: * Hailiang Zhang ([@hailiangzhang](https://github.com/hailiangzhang)), Adnet Systems Inc, NASA Goddard Space Flight Center. -* Mahabal Hegde ([@nasahegde](https://github.com/nasahegde), NASA Goddard Space Flight Center. -* Christine Smit ([@christine-e-smit](https://github.com/christine-e-smit), Telophase Co, NASA Goddard Space Flight Center. +* Mahabal Hegde ([@nasahegde](https://github.com/nasahegde)), NASA Goddard Space Flight Center. +* Christine Smit ([@christine-e-smit](https://github.com/christine-e-smit)), Telophase Co, NASA Goddard Space Flight Center. * Brianna Pagan ([@briannapagan](https://github.com/briannapagan)), Adnet Systems Inc, NASA Goddard Space Flight Center. * Dieu My Nguyen ([@dieumynguyen](https://github.com/dieumynguyen)), Adnet Systems Inc, NASA Goddard Space Flight Center. From 667eea6f1cb7f978b615346dfa1812c7e5d719f1 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 14:07:16 -0500 Subject: [PATCH 22/32] Provide link to apache liscence --- draft/ZEP0005.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 8f80c90..ec62da9 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -227,4 +227,4 @@ The accumulation stride is also needed to locate the accumulation data for a giv ## Copyright -This proposal is licensed under the Apache License, Version 2.0. +This proposal is licensed under [the Apache License, Version 2.0](https://www.apache.org/licenses/LICENSE-2.0). From 402a6451891e7cd28c2ef5bb3db04c61387b0b4e Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 14:40:17 -0500 Subject: [PATCH 23/32] zarr-accumulation/v1.0.rst code formatting --- draft/ZEP0005.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index ec62da9..3e01386 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -33,7 +33,9 @@ Performing the averaging operation over data in Zarr generally requires a full s ## Detailed description The fundamental of this Zarr-based Chunk-level Accumulation algorithm is to pre-compute cumulative sums of data values and weights/counts along data dimensions at the chunk intervals. These cumulative sums can then be used to find data averages for dimension ranges. + Example: + For a sequence `A=(a, b, c, d)`, the cumulative sums are `S=(s0, s1, s2, s3)` where `s0=a, s1=a+b, s2=a+b+c, s3=a+b+c+d`. The average of the sequence over a range can now be calculated using the cumulative sums. For example, assuming zero-based indexing, average `(A[1:3])=(S[3]-S[0])/3=(s3-s0)/3`. The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages O(1) vs O(N^m) for the dimensions being averaged, where N is the number of data values and m is the number of dimensions. See our ESIP 2022 presentation (and the slides) for a more detailed description. From 391381413e668457093bfcc99009701f02e94b49 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 14:43:12 -0500 Subject: [PATCH 24/32] zarr-accumulation/v1.0.rst code formatting --- draft/ZEP0005.md | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 3e01386..8fdfa5d 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -36,8 +36,9 @@ The fundamental of this Zarr-based Chunk-level Accumulation algorithm is to pre- Example: -For a sequence `A=(a, b, c, d)`, the cumulative sums are `S=(s0, s1, s2, s3)` where `s0=a, s1=a+b, s2=a+b+c, s3=a+b+c+d`. The average of the sequence over a range can now be calculated using the cumulative sums. For example, assuming zero-based indexing, average `(A[1:3])=(S[3]-S[0])/3=(s3-s0)/3`. -The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages O(1) vs O(N^m) for the dimensions being averaged, where N is the number of data values and m is the number of dimensions. See our ESIP 2022 presentation (and the slides) for a more detailed description. +For a sequence `A=(a, b, c, d)`, the cumulative sums are `S=(s0, s1, s2, s3)` where `s0=a, s1=a+b, s2=a+b+c, s3=a+b+c+d`. The average of the sequence over a range can now be calculated using the cumulative sums. For example, assuming zero-based indexing, average `(A[1:])=(S[3]-S[0])/3=(s3-s0)/3`. + +The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages *O(1)* vs *O(N^m)* for the dimensions being averaged, where *N* is the number of data values and *m* is the number of dimensions. See our ESIP 2022 presentation (and the slides) for a more detailed description. ## Implementation From b31dd90a84dcf12495c1e6b2d6e3c6091b0cb5dd Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 14:46:30 -0500 Subject: [PATCH 25/32] hyperlink provided --- draft/ZEP0005.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 8fdfa5d..f238b74 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -38,7 +38,7 @@ Example: For a sequence `A=(a, b, c, d)`, the cumulative sums are `S=(s0, s1, s2, s3)` where `s0=a, s1=a+b, s2=a+b+c, s3=a+b+c+d`. The average of the sequence over a range can now be calculated using the cumulative sums. For example, assuming zero-based indexing, average `(A[1:])=(S[3]-S[0])/3=(s3-s0)/3`. -The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages *O(1)* vs *O(N^m)* for the dimensions being averaged, where *N* is the number of data values and *m* is the number of dimensions. See our ESIP 2022 presentation (and the slides) for a more detailed description. +The above example can be extended and generalized for multiple dimensions. This makes the problem of computing averages *O(1)* vs *O(N^m)* for the dimensions being averaged, where *N* is the number of data values and *m* is the number of dimensions to be averaged. See our [ESIP 2022 presentation](https://www.youtube.com/watch?v=ac_UKunUrNM&t=2250s) (and the [slides](https://docs.google.com/presentation/d/1RNvkIlCFvtoy89OTMzQNn_0jixOpdhnu/edit?usp=sharing&ouid=106287227661991623566&rtpof=true&sd=true)) for a more detailed description. ## Implementation From 5e9f5c412010a205ffb4d463ec0a6bd3ca9fdedd Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 14:48:09 -0500 Subject: [PATCH 26/32] zarr-accumulation/v1.0.rst code formatting --- draft/ZEP0005.md | 1 + 1 file changed, 1 insertion(+) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index f238b74..e6700d6 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -24,6 +24,7 @@ Created: 2023-02-12 ## Abstract At NASA GES DISC, we receive a large number of user requests each day for a variety of analysis and visualization services involving averaging along one or more dimensions, some of which are computationally expensive when running against large amounts of geospatial data. We proposed a generic and dimension-agnostic method based on chunk-level cumulative sums (accumulation) on a regular grid, which provides fast and cost-efficient cloud analysis for multidimensional averaging services. This method introduces a small adjustable set of auxiliary data on top of the raw data, and dramatically reduces the computational time by orders of magnitude based on chunk-level accumulation along one or more dimensions. + We hereby propose a Zarr extension for this chunk-level accumulation approach. In this proposal, we will present a Zarr group for the accumulation data, a JSON schema for the accumulation group attribute, a JSON schema for the accumulation data array attribute, and an example of the user application interface. ## Motivation and Scope From 5a37eb150c17c23558c7d69634b1c97fe1f79153 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 14:49:15 -0500 Subject: [PATCH 27/32] zarr-accumulation/v1.0.rst more content added --- draft/ZEP0005.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index e6700d6..30563a8 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -29,7 +29,7 @@ We hereby propose a Zarr extension for this chunk-level accumulation approach. I ## Motivation and Scope -Performing the averaging operation over data in Zarr generally requires a full scan of the data. This can be parallelized with Dask (or any other distributed framework), but reading all of the data is an unavoidable bottleneck. Our proposed approach, Zarr-based Chunk-level Accumulation, will improve the speed and cost of long-range calculation by loading only a few data chunks at the averaging boundary. Here, we provide examples of how the approach is applied to geospatial data with temporal and spatial dimensions; however, it’s noteworthy that this approach is dimension-agnostic and can be generalized for all types of multidimensional data aggregation services with Zarr. +At NASA GES DISC, our use case is for computing averages along a range of data dimensions (e.g., space, time) in a cost effective and highly performant manner. In the Geo-spatial community, computing area or temporal averages over a long range of observations is popular with users. Performing the averaging operation over data in Zarr generally requires a full scan of the data. This can be parallelized with Dask (or any other distributed framework), but reading all of the data is an unavoidable bottleneck. Our proposed approach, Zarr-based Chunk-level Accumulation, will improve the speed and cost of long-range calculation by loading only a few data chunks at the averaging boundary. Here, we provide examples of how the approach is applied to geospatial data with temporal and spatial dimensions; however, it’s noteworthy that this approach is dimension-agnostic and can be generalized for all types of multidimensional data aggregation services with Zarr. ## Detailed description From 45cf29c4d7ef02ae3813bd1e24375a763bcc35b2 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 14:55:03 -0500 Subject: [PATCH 28/32] hyperlink provided --- draft/ZEP0005.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 30563a8..6ea8f8a 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -33,7 +33,7 @@ At NASA GES DISC, our use case is for computing averages along a range of data d ## Detailed description -The fundamental of this Zarr-based Chunk-level Accumulation algorithm is to pre-compute cumulative sums of data values and weights/counts along data dimensions at the chunk intervals. These cumulative sums can then be used to find data averages for dimension ranges. +The fundamental of this Zarr-based Chunk-level Accumulation algorithm is to pre-compute [cumulative sums](https://mathworld.wolfram.com/CumulativeSum.html) of data values and weights/counts along data dimensions at the chunk intervals. These cumulative sums can then be used to find data averages for dimension ranges. Example: From 365593a44becbf1ad82bde99ccff127d22e7ac20 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 15:08:31 -0500 Subject: [PATCH 29/32] minor cleaning --- draft/ZEP0005.md | 1 + 1 file changed, 1 insertion(+) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 6ea8f8a..9cfe23c 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -44,6 +44,7 @@ The above example can be extended and generalized for multiple dimensions. This ## Implementation We propose to formalize this Zarr-based Chunk-level Accumulation approach as a Zarr extension. To implement this approach, cumulative sums are computed at chunk intervals and are stored in a Zarr group. The API for averaging the data fetches the necessary pre-computed sums based on the user-requested dimensions (e.g., time) and dimension ranges (e.g., from 1980 to 1990). + Please note that this solution is also applicable for storing chunk statistics (min, max, sum, count, etc.) to help with performing aggregations. ### Zarr group structure of accumulation data From 6e5291ce58e4527c671782d0cb7877e227a1c7e1 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 15:09:29 -0500 Subject: [PATCH 30/32] minor cleaning --- draft/ZEP0005.md | 1 + 1 file changed, 1 insertion(+) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 9cfe23c..99aedb3 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -50,6 +50,7 @@ Please note that this solution is also applicable for storing chunk statistics ( ### Zarr group structure of accumulation data Rather than storing the chunk-level statistics in a separate store, we could store them inline with the arrays they are derived from. This would enable other applications to take advantage of such pre-computed data to optimize queries. This is similar to an optimization in Snowflake ([twitter link](https://twitter.com/teej_m/status/1546591452750159873)). + The accumulation datasets are organized in a data group adjacent to the raw data and dimension arrays with the following structure: ``` ├── ${dimension_array} From e0b75827f70fce5bec5c8de10b4a3bc2e24f8995 Mon Sep 17 00:00:00 2001 From: Hailiang Zhang Date: Tue, 14 Feb 2023 15:18:09 -0500 Subject: [PATCH 31/32] minor cleaning --- draft/ZEP0005.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 99aedb3..5c23fc9 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -152,7 +152,7 @@ An example of the above zarr attribute file is given as follows. The data has t With Zarr-based chunk-level accumulation, the cumulative sums are not necessarily computed for every single chunk. To further reduce the computation and storage cost for the accumulation data, the cumulative sums can be computed every certain number of chunks, and we call this tunable number the *accumulation stride*. This information is saved in the Zarr attribute file for the accumulation dataset (e.g., ``${raw_dataset}_accumulation_group/{accumulation_dataset_1}/.zattr``). -As mentioned above, the dimension labels are needed to identify the accumulation datasets. We assume that the dimensions are defined in the attributes of the dataset as `_ARRAY_DIMENSIONS` as from [the xarray implementation](https://docs.xarray.dev/en/stable/internals/zarr-encoding-spec.html). In the present approach, the accumulation stride is saved in an object called `_ACCUMULATION_STRIDE` in parallel with `_ARRAY_DIMENSIONS`. The related schema segment of this attribute file is shown as follows: +As mentioned above, the dimension labels are needed to identify the accumulation datasets. We assume that the dimensions are defined in the attributes of the dataset as `_ARRAY_DIMENSIONS` as from [the xarray implementation](https://docs.xarray.dev/en/stable/internals/zarr-encoding-spec.html). In the present approach, the *accumulation stride* is saved in an object called `_ACCUMULATION_STRIDE` in parallel with `_ARRAY_DIMENSIONS`. The related schema segment of this attribute file is shown as follows: ``` { "$schema":"http://json-schema.org/draft-07/schema#", From 84f22c67d7ec890fa16472da44f71c901015f32f Mon Sep 17 00:00:00 2001 From: hailiangzhang Date: Wed, 8 Mar 2023 16:53:39 -0500 Subject: [PATCH 32/32] Update draft/ZEP0005.md Co-authored-by: Sanket Verma --- draft/ZEP0005.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/draft/ZEP0005.md b/draft/ZEP0005.md index 5c23fc9..3e9a198 100644 --- a/draft/ZEP0005.md +++ b/draft/ZEP0005.md @@ -21,6 +21,8 @@ Type: Specification Created: 2023-02-12 +Discussion: + ## Abstract At NASA GES DISC, we receive a large number of user requests each day for a variety of analysis and visualization services involving averaging along one or more dimensions, some of which are computationally expensive when running against large amounts of geospatial data. We proposed a generic and dimension-agnostic method based on chunk-level cumulative sums (accumulation) on a regular grid, which provides fast and cost-efficient cloud analysis for multidimensional averaging services. This method introduces a small adjustable set of auxiliary data on top of the raw data, and dramatically reduces the computational time by orders of magnitude based on chunk-level accumulation along one or more dimensions.

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