VOTING POWER100.00%
DOWNVOTE POWER100.00%
RESOURCE CREDITS100.00%
REPUTATION PROGRESS74.74%
Net Worth
7.716USD
STEEM
0.000STEEM
SBD
15.008SBD
Effective Power
6.864SP
├── Own SP
5.841SP
└── Incoming DelegationsDeleg
+1.022SP
Detailed Balance
| STEEM | ||
| balance | 0.000STEEM | STEEM |
| market_balance | 0.000STEEM | STEEM |
| savings_balance | 0.000STEEM | STEEM |
| reward_steem_balance | 0.000STEEM | STEEM |
| STEEM POWER | ||
| Own SP | 5.841SP | SP |
| Delegated Out | 0.000SP | SP |
| Delegation In | 1.022SP | SP |
| Effective Power | 6.864SP | SP |
| Reward SP (pending) | 9.950SP | SP |
| SBD | ||
| sbd_balance | 3.755SBD | SBD |
| sbd_conversions | 0.000SBD | SBD |
| sbd_market_balance | 0.000SBD | SBD |
| savings_sbd_balance | 0.000SBD | SBD |
| reward_sbd_balance | 11.253SBD | SBD |
{
"balance": "0.000 STEEM",
"savings_balance": "0.000 STEEM",
"reward_steem_balance": "0.000 STEEM",
"vesting_shares": "9512.263781 VESTS",
"delegated_vesting_shares": "0.000000 VESTS",
"received_vesting_shares": "1664.440956 VESTS",
"sbd_balance": "3.755 SBD",
"savings_sbd_balance": "0.000 SBD",
"reward_sbd_balance": "11.253 SBD",
"conversions": []
}Account Info
| name | trilo |
| id | 436965 |
| rank | 178,301 |
| reputation | 260842635885 |
| created | 2017-11-10T14:39:27 |
| recovery_account | steem |
| proxy | None |
| post_count | 24 |
| comment_count | 0 |
| lifetime_vote_count | 0 |
| witnesses_voted_for | 0 |
| last_post | 2018-07-26T15:39:39 |
| last_root_post | 2018-07-26T15:39:39 |
| last_vote_time | 2017-11-24T11:27:45 |
| proxied_vsf_votes | 0, 0, 0, 0 |
| can_vote | 1 |
| voting_power | 0 |
| delayed_votes | 0 |
| balance | 0.000 STEEM |
| savings_balance | 0.000 STEEM |
| sbd_balance | 3.755 SBD |
| savings_sbd_balance | 0.000 SBD |
| vesting_shares | 9512.263781 VESTS |
| delegated_vesting_shares | 0.000000 VESTS |
| received_vesting_shares | 1664.440956 VESTS |
| reward_vesting_balance | 20422.288325 VESTS |
| vesting_balance | 0.000 STEEM |
| vesting_withdraw_rate | 0.000000 VESTS |
| next_vesting_withdrawal | 1969-12-31T23:59:59 |
| withdrawn | 0 |
| to_withdraw | 0 |
| withdraw_routes | 0 |
| savings_withdraw_requests | 0 |
| last_account_recovery | 1970-01-01T00:00:00 |
| reset_account | null |
| last_owner_update | 1970-01-01T00:00:00 |
| last_account_update | 2017-11-12T17:15:45 |
| mined | No |
| sbd_seconds | 0 |
| sbd_last_interest_payment | 2017-11-22T23:17:15 |
| savings_sbd_last_interest_payment | 1970-01-01T00:00:00 |
{
"id": 436965,
"name": "trilo",
"owner": {
"weight_threshold": 1,
"account_auths": [],
"key_auths": [
[
"STM7DDcChNA11Rs68bWVxeqMtJnumvntqQdZxATtxrSCbF1z35DVE",
1
]
]
},
"active": {
"weight_threshold": 1,
"account_auths": [],
"key_auths": [
[
"STM6CXaqoEkufS1bB8tBLGR54hqrKdGEVqRrshZhqaVqphJga7pRG",
1
]
]
},
"posting": {
"weight_threshold": 1,
"account_auths": [],
"key_auths": [
[
"STM6PnMMxtkcx9AccrAJ5QrHu16RjpNCePBbpoZZHQAkVaYfD3Byv",
1
]
]
},
"memo_key": "STM5mnzvh6jUsmdbhpkdkNtZKZYSx1o6mKq5Jxrw1xA3pPfMjpxqp",
"json_metadata": "{\"profile\":{\"cover_image\":\"https://img.esteem.ws/fhgrkw2nrp.jpg\",\"profile_image\":\"https://steemitimages.com/DQmY83uaAifd5KqpyW3m2rdk7rjsHmhdV8eWr7e3WrJmHrp/22709509_351533171961331_4012022817703854080_n.jpg\"}}",
"posting_json_metadata": "{\"profile\":{\"cover_image\":\"https://img.esteem.ws/fhgrkw2nrp.jpg\",\"profile_image\":\"https://steemitimages.com/DQmY83uaAifd5KqpyW3m2rdk7rjsHmhdV8eWr7e3WrJmHrp/22709509_351533171961331_4012022817703854080_n.jpg\"}}",
"proxy": "",
"last_owner_update": "1970-01-01T00:00:00",
"last_account_update": "2017-11-12T17:15:45",
"created": "2017-11-10T14:39:27",
"mined": false,
"recovery_account": "steem",
"last_account_recovery": "1970-01-01T00:00:00",
"reset_account": "null",
"comment_count": 0,
"lifetime_vote_count": 0,
"post_count": 24,
"can_vote": true,
"voting_manabar": {
"current_mana": "11176704737",
"last_update_time": 1752868293
},
"downvote_manabar": {
"current_mana": 2794176184,
"last_update_time": 1752868293
},
"voting_power": 0,
"balance": "0.000 STEEM",
"savings_balance": "0.000 STEEM",
"sbd_balance": "3.755 SBD",
"sbd_seconds": "0",
"sbd_seconds_last_update": "2017-11-22T23:17:15",
"sbd_last_interest_payment": "2017-11-22T23:17:15",
"savings_sbd_balance": "0.000 SBD",
"savings_sbd_seconds": "0",
"savings_sbd_seconds_last_update": "1970-01-01T00:00:00",
"savings_sbd_last_interest_payment": "1970-01-01T00:00:00",
"savings_withdraw_requests": 0,
"reward_sbd_balance": "11.253 SBD",
"reward_steem_balance": "0.000 STEEM",
"reward_vesting_balance": "20422.288325 VESTS",
"reward_vesting_steem": "9.950 STEEM",
"vesting_shares": "9512.263781 VESTS",
"delegated_vesting_shares": "0.000000 VESTS",
"received_vesting_shares": "1664.440956 VESTS",
"vesting_withdraw_rate": "0.000000 VESTS",
"next_vesting_withdrawal": "1969-12-31T23:59:59",
"withdrawn": 0,
"to_withdraw": 0,
"withdraw_routes": 0,
"curation_rewards": 9,
"posting_rewards": 28142,
"proxied_vsf_votes": [
0,
0,
0,
0
],
"witnesses_voted_for": 0,
"last_post": "2018-07-26T15:39:39",
"last_root_post": "2018-07-26T15:39:39",
"last_vote_time": "2017-11-24T11:27:45",
"post_bandwidth": 0,
"pending_claimed_accounts": 0,
"vesting_balance": "0.000 STEEM",
"reputation": "260842635885",
"transfer_history": [],
"market_history": [],
"post_history": [],
"vote_history": [],
"other_history": [],
"witness_votes": [],
"tags_usage": [],
"guest_bloggers": [],
"rank": 178301
}Withdraw Routes
| Incoming | Outgoing |
|---|---|
Empty | Empty |
{
"incoming": [],
"outgoing": []
}From Date
To Date
2025/07/18 19:51:33
2025/07/18 19:51:33
| delegator | steem |
| delegatee | trilo |
| vesting shares | 1664.440956 VESTS |
| Transaction Info | Block #97436293/Trx 7d8f96579aae6a661d9a44c9f14c3ce40cc16eca |
View Raw JSON Data
{
"trx_id": "7d8f96579aae6a661d9a44c9f14c3ce40cc16eca",
"block": 97436293,
"trx_in_block": 3,
"op_in_trx": 0,
"virtual_op": 0,
"timestamp": "2025-07-18T19:51:33",
"op": [
"delegate_vesting_shares",
{
"delegator": "steem",
"delegatee": "trilo",
"vesting_shares": "1664.440956 VESTS"
}
]
}2022/02/25 09:37:33
2022/02/25 09:37:33
| delegator | steem |
| delegatee | trilo |
| vesting shares | 1830.890448 VESTS |
| Transaction Info | Block #61923170/Trx d19c80f7c75dfeb508e902cd19a9303845a215fa |
View Raw JSON Data
{
"trx_id": "d19c80f7c75dfeb508e902cd19a9303845a215fa",
"block": 61923170,
"trx_in_block": 2,
"op_in_trx": 0,
"virtual_op": 0,
"timestamp": "2022-02-25T09:37:33",
"op": [
"delegate_vesting_shares",
{
"delegator": "steem",
"delegatee": "trilo",
"vesting_shares": "1830.890448 VESTS"
}
]
}2019/11/10 15:37:30
2019/11/10 15:37:30
| parent author | trilo |
| parent permlink | duality |
| author | steemitboard |
| permlink | steemitboard-notify-trilo-20191110t153729000z |
| title | |
| body | Congratulations @trilo! You received a personal award! <table><tr><td>https://steemitimages.com/70x70/http://steemitboard.com/@trilo/birthday2.png</td><td>Happy Birthday! - You are on the Steem blockchain for 2 years!</td></tr></table> <sub>_You can view [your badges on your Steem Board](https://steemitboard.com/@trilo) and compare to others on the [Steem Ranking](https://steemitboard.com/ranking/index.php?name=trilo)_</sub> **Do not miss the last post from @steemitboard:** <table><tr><td><a href="https://steemit.com/steemfest/@steemitboard/steemfest-meet-the-stemians-contest-the-mysterious-rule-revealed"><img src="https://steemitimages.com/64x128/https://cdn.steemitimages.com/DQmasWw4jQHwxng82DKxY6Q6tVg9mWcto4xcDURs8knFgCa/image.png"></a></td><td><a href="https://steemit.com/steemfest/@steemitboard/steemfest-meet-the-stemians-contest-the-mysterious-rule-revealed">SteemFest Meet The Stemians Contest - The mysterious rule revealed</a></td></tr></table> ###### [Vote for @Steemitboard as a witness](https://v2.steemconnect.com/sign/account-witness-vote?witness=steemitboard&approve=1) to get one more award and increased upvotes! |
| json metadata | {"image":["https://steemitboard.com/img/notify.png"]} |
| Transaction Info | Block #38056227/Trx 05d101f97096b12e7333e32a7de6432a524cc3a8 |
View Raw JSON Data
{
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"title": "",
"body": "Congratulations @trilo! You received a personal award!\n\n<table><tr><td>https://steemitimages.com/70x70/http://steemitboard.com/@trilo/birthday2.png</td><td>Happy Birthday! - You are on the Steem blockchain for 2 years!</td></tr></table>\n\n<sub>_You can view [your badges on your Steem Board](https://steemitboard.com/@trilo) and compare to others on the [Steem Ranking](https://steemitboard.com/ranking/index.php?name=trilo)_</sub>\n\n\n**Do not miss the last post from @steemitboard:**\n<table><tr><td><a href=\"https://steemit.com/steemfest/@steemitboard/steemfest-meet-the-stemians-contest-the-mysterious-rule-revealed\"><img src=\"https://steemitimages.com/64x128/https://cdn.steemitimages.com/DQmasWw4jQHwxng82DKxY6Q6tVg9mWcto4xcDURs8knFgCa/image.png\"></a></td><td><a href=\"https://steemit.com/steemfest/@steemitboard/steemfest-meet-the-stemians-contest-the-mysterious-rule-revealed\">SteemFest Meet The Stemians Contest - The mysterious rule revealed</a></td></tr></table>\n\n###### [Vote for @Steemitboard as a witness](https://v2.steemconnect.com/sign/account-witness-vote?witness=steemitboard&approve=1) to get one more award and increased upvotes!",
"json_metadata": "{\"image\":[\"https://steemitboard.com/img/notify.png\"]}"
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]
}2018/11/26 19:50:45
2018/11/26 19:50:45
| delegator | steem |
| delegatee | trilo |
| vesting shares | 2013.984142 VESTS |
| Transaction Info | Block #28046756/Trx 4ae0a7d55541e76a7cb3ec2ec6eb034525722a1d |
View Raw JSON Data
{
"trx_id": "4ae0a7d55541e76a7cb3ec2ec6eb034525722a1d",
"block": 28046756,
"trx_in_block": 9,
"op_in_trx": 0,
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"timestamp": "2018-11-26T19:50:45",
"op": [
"delegate_vesting_shares",
{
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"vesting_shares": "2013.984142 VESTS"
}
]
}2018/11/10 15:49:57
2018/11/10 15:49:57
| parent author | trilo |
| parent permlink | duality |
| author | steemitboard |
| permlink | steemitboard-notify-trilo-20181110t154957000z |
| title | |
| body | Congratulations @trilo! You have received a personal award! [](http://steemitboard.com/@trilo) 1 Year on Steemit <sub>_Click on the badge to view your Board of Honor._</sub> **Do not miss the last post from @steemitboard:** <table><tr><td><a href="https://steemit.com/steemfest/@steemitboard/steemfest3-and-steemitboard-meet-the-steemians-contest"><img src="https://steemitimages.com/64x128/https://cdn.steemitimages.com/DQmeLukvNFRsa7RURqsFpiLGEZZD49MiU52JtWmjS5S2wtW/image.png"></a></td><td><a href="https://steemit.com/steemfest/@steemitboard/steemfest3-and-steemitboard-meet-the-steemians-contest">SteemFest3 and SteemitBoard - Meet the Steemians Contest</a></td></tr></table> > Support [SteemitBoard's project](https://steemit.com/@steemitboard)! **[Vote for its witness](https://v2.steemconnect.com/sign/account-witness-vote?witness=steemitboard&approve=1)** and **get one more award**! |
| json metadata | {"image":["https://steemitboard.com/img/notify.png"]} |
| Transaction Info | Block #27581417/Trx 8fccc35e7fb7bd9699e392953b127e5baa516204 |
View Raw JSON Data
{
"trx_id": "8fccc35e7fb7bd9699e392953b127e5baa516204",
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"body": "Congratulations @trilo! You have received a personal award!\n\n[](http://steemitboard.com/@trilo) 1 Year on Steemit\n<sub>_Click on the badge to view your Board of Honor._</sub>\n\n\n**Do not miss the last post from @steemitboard:**\n<table><tr><td><a href=\"https://steemit.com/steemfest/@steemitboard/steemfest3-and-steemitboard-meet-the-steemians-contest\"><img src=\"https://steemitimages.com/64x128/https://cdn.steemitimages.com/DQmeLukvNFRsa7RURqsFpiLGEZZD49MiU52JtWmjS5S2wtW/image.png\"></a></td><td><a href=\"https://steemit.com/steemfest/@steemitboard/steemfest3-and-steemitboard-meet-the-steemians-contest\">SteemFest3 and SteemitBoard - Meet the Steemians Contest</a></td></tr></table>\n\n> Support [SteemitBoard's project](https://steemit.com/@steemitboard)! **[Vote for its witness](https://v2.steemconnect.com/sign/account-witness-vote?witness=steemitboard&approve=1)** and **get one more award**!",
"json_metadata": "{\"image\":[\"https://steemitboard.com/img/notify.png\"]}"
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]
}2018/07/26 16:48:39
2018/07/26 16:48:39
| delegator | steem |
| delegatee | trilo |
| vesting shares | 20897.347220 VESTS |
| Transaction Info | Block #24518952/Trx 3da84798f0553fbe8351f9099ddfdbc9c55bf308 |
View Raw JSON Data
{
"trx_id": "3da84798f0553fbe8351f9099ddfdbc9c55bf308",
"block": 24518952,
"trx_in_block": 1,
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"virtual_op": 0,
"timestamp": "2018-07-26T16:48:39",
"op": [
"delegate_vesting_shares",
{
"delegator": "steem",
"delegatee": "trilo",
"vesting_shares": "20897.347220 VESTS"
}
]
}2018/07/26 15:57:45
2018/07/26 15:57:45
| parent author | |
| parent permlink | math |
| author | trilo |
| permlink | duality |
| title | Duality |
| body | @@ -2626,24 +2626,36 @@ standing of +what taking the transpos @@ -2668,16 +2668,22 @@ matrix +means and I tr @@ -3153,16 +3153,17 @@ ch cases +, I embod |
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| Transaction Info | Block #24517936/Trx 7afde532ba186f7507064a0e73b5e868c0568708 |
View Raw JSON Data
{
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"body": "@@ -2626,24 +2626,36 @@\n standing of \n+what taking \n the transpos\n@@ -2668,16 +2668,22 @@\n matrix \n+means \n and I tr\n@@ -3153,16 +3153,17 @@\n ch cases\n+,\n I embod\n",
"json_metadata": "{\"tags\":[\"math\",\"steemstem\",\"story\",\"science\",\"optimization\"],\"image\":[\"https://cdn.steemitimages.com/DQmazJd56qTkL9413KPK6CWE2XKSxpa1bzjT7UjxgrrH34X/image.png\"],\"app\":\"steemit/0.1\",\"format\":\"markdown\"}"
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}2018/07/26 15:41:15
2018/07/26 15:41:15
| parent author | |
| parent permlink | math |
| author | trilo |
| permlink | duality |
| title | Duality |
| body | <center></center> Moritz: Hey Max, I have a problem. Max: Yeah whats up? Moritz: I hate spending money on fruit, but I want to get my daily recommended amount of vitamins... Max (suddenly excited): Oh I can help you with that, thats just an optimization problem with constraints! Moritz (relieved): Great, I already know the prices of apples and bananas per kilo at the supermarket. Max: We'll call that 2D vector p for prices. Moritz: I also have a table that has two columns for apple and banana and three rows for vitamin A, B and C. It shows how much units of a particular vitamin is in a kilo of a certain fruit. Max: We'll call that 3x2 matrix M. Moritz: I also have a list of the recommended amount of each vitamin. Max: We'll call that 3D vector c for 'constraint'. Moritz: Great! So now I need to find out how many kilos of apples and how many kilos of bananas to buy. Max: We'll call the 2D vector that represents how much kilo of which fruit to buy x. In summary you are trying to minimize p_transpose * x while satisfying the constraint M * x >= c. Moritz: Ah that makes sense, so now all I need to do is solve these equations and... Max (interupting): I have another idea. I recently started a business selling vitamin supplements. I could sell some to you now. That way you don't have to go the supermarket. Moritz (surprised): Thats great! So how much are you selling vitamins A, B and C for per unit? I want to see if you can compete with the supermarket. Max (self aware and greedy): Look, I am no communist. I will determine the vitamin price vector y you mentioned by maximizing the amount of money I will make if I sell you the recommended amount of each vitamin. In other words I am trying to maximize c_transpose * y. Moritz (slightly offended): So you're just going to sell at the highest price possible? How do I know you're not ripping me off? Can you guarantee me that I will not pay you more than what I would have otherwise at the supermarket? Max (impatient): Let me finish! I guarantee that the price of all the vitamins in a fruit will never cost more than the fruit itself does at the supermarket. Moritz (taking a moment to understand what Max is saying): So, for example, if I buy all the vitamins that are in a kilo of apples from you as supplements... Max: ...then I guarantee that you won't be spending more for the supplements than you would for the apples. So all in all, I guarantee that A_transpose * y <= p. Moritz (biting his lip): While this gave me a newfound understanding of the transpose of a matrix and I trust you that you won't break your guarantees, I am still left wondering whether it is really guaranteed that I wont get a worse deal than at the store. *A theorem descends from heaven* Duality Theorem: You have summoned me! Max and Moritz in unison: To what do we owe the pleasure?!! Duality Theorem: From my heavenly vantage point I can see that Max's maximization problem of finding y is the dual problem of Moritz's minimization problem of finding x. In such cases I embody the proof that Max's price will always be equal or better than the best supermarket price Moritz can find! In your case it is exactly equal for there is a unique solution for x and a unique solution for y! Moritz: Thats pretty cool, my dog. Max: I might have to rethink my business model... *Everyone in the story disappears in a cloud of glitter as the author of this post becomes aware that they are procrastinating instead of studying for their exams.* |
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| Transaction Info | Block #24517607/Trx 30dc1edbbe75e7b78e87fc5f572bf7342885e487 |
View Raw JSON Data
{
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"body": "<center></center>\n\nMoritz: Hey Max, I have a problem.\n\nMax: Yeah whats up?\n\nMoritz: I hate spending money on fruit, but I want to get my daily recommended amount of vitamins...\n\nMax (suddenly excited): Oh I can help you with that, thats just an optimization problem with constraints!\n\nMoritz (relieved): Great, I already know the prices of apples and bananas per kilo at the supermarket.\n\nMax: We'll call that 2D vector p for prices.\n\nMoritz: I also have a table that has two columns for apple and banana and three rows for vitamin A, B and C. It shows how much units of a particular vitamin is in a kilo of a certain fruit.\n\nMax: We'll call that 3x2 matrix M.\n\nMoritz: I also have a list of the recommended amount of each vitamin.\n\nMax: We'll call that 3D vector c for 'constraint'.\n\nMoritz: Great! So now I need to find out how many kilos of apples and how many kilos of bananas to buy.\n\nMax: We'll call the 2D vector that represents how much kilo of which fruit to buy x. In summary you are trying to minimize p_transpose * x while satisfying the constraint M * x >= c.\n\nMoritz: Ah that makes sense, so now all I need to do is solve these equations and...\n\nMax (interupting): I have another idea. I recently started a business selling vitamin supplements. I could sell some to you now. That way you don't have to go the supermarket.\n\nMoritz (surprised): Thats great! So how much are you selling vitamins A, B and C for per unit? I want to see if you can compete with the supermarket.\n\nMax (self aware and greedy): Look, I am no communist. I will determine the vitamin price vector y you mentioned by maximizing the amount of money I will make if I sell you the recommended amount of each vitamin. In other words I am trying to maximize c_transpose * y.\n\nMoritz (slightly offended): So you're just going to sell at the highest price possible? How do I know you're not ripping me off? Can you guarantee me that I will not pay you more than what I would have otherwise at the supermarket?\n\nMax (impatient): Let me finish! I guarantee that the price of all the vitamins in a fruit will never cost more than the fruit itself does at the supermarket.\n\nMoritz (taking a moment to understand what Max is saying): So, for example, if I buy all the vitamins that are in a kilo of apples from you as supplements...\n\nMax: ...then I guarantee that you won't be spending more for the supplements than you would for the apples. So all in all, I guarantee that A_transpose * y <= p.\n\nMoritz (biting his lip): While this gave me a newfound understanding of the transpose of a matrix and I trust you that you won't break your guarantees, I am still left wondering whether it is really guaranteed that I wont get a worse deal than at the store.\n\n*A theorem descends from heaven*\n\nDuality Theorem: You have summoned me!\n\nMax and Moritz in unison: To what do we owe the pleasure?!!\n\nDuality Theorem: From my heavenly vantage point I can see that Max's maximization problem of finding y is the dual problem of Moritz's minimization problem of finding x. In such cases I embody the proof that Max's price will always be equal or better than the best supermarket price Moritz can find! In your case it is exactly equal for there is a unique solution for x and a unique solution for y!\n\nMoritz: Thats pretty cool, my dog.\n\nMax: I might have to rethink my business model...\n\n*Everyone in the story disappears in a cloud of glitter as the author of this post becomes aware that they are procrastinating instead of studying for their exams.*",
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}hackerzizonupvoted (1.00%) @trilo / duality2018/07/26 15:40:18
hackerzizonupvoted (1.00%) @trilo / duality
2018/07/26 15:40:18
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2018/07/26 15:39:39
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| author | trilo |
| permlink | duality |
| title | Duality |
| body | <center></center> Moritz: Hey Max, I have a problem. Max: Yeah whats up? Moritz: I hate spending money on fruit, but I want to get my daily recommended amount of vitamins... Max (suddenly excited): Oh I can help you with that, thats just an optimization problem with constraints! Moritz (relieved): Great, I already know the prices of apples and bananas per kilo at the supermarket. Max: We'll call that 2D vector p for prices. Moritz: I also have a table that has two columns for apple and banana and three rows for vitamin A, B and C. It shows how much units of a particular vitamin is in a kilo of a certain fruit. Max: We'll call that 3x2 matrix M. Moritz: I also have a list of the recommended amount of each vitamin. Max: We'll call that 3D vector c for 'constraint'. Moritz: Great! So now I need to find out how many kilos of apples and how many kilos of bananas to buy. Max: We'll call the 2D vector that represents how much kilo of which fruit to buy x. In summary you are trying to minimize p_transpose * x while satisfying the constraint M * x >= c. Moritz: Ah that makes sense, so now all I need to do is solve these equations and... Max (interupting): I have another idea. I recently started a business selling vitamin supplements. I could sell some to you now. That way you don't have to go the supermarket. Moritz (surprised): Thats great! So how much are you selling vitamins A, B and C for per unit? I want to see if you can compete with the supermarket. Max (self aware and greedy): Look, I am no communist. I will determine the vitamin price vector y you mentioned by maximizing the amount of money I will make if I sell you the recommended amount of each vitamin. In other words I am trying to maximize c_transpose * y. Moritz (slightly offended): So you're just going to sell at the highest price possible? How do I know you're not ripping me off? Can you guarantee me that I will not pay you more than what I would have otherwise at the supermarket? Max (impatient): Let me finish! I guarantee that the price of all the vitamins in a fruit will never cost more than the fruit itself does at the supermarket. Moritz (taking a moment to understand what Max is saying): So, for example, if I buy all the vitamins that are in a kilo of apples from you as supplements... Max: ...then I guarantee that you won't be spending more for the supplements than you would for the apples. So all in all, I guarantee that A_transpose * y <= p. Moritz (biting his lip): While this gave me a newfound understanding of the transpose of a matrix and I trust you that you won't break your guarantees, I am still left wondering whether it is really guaranteed that I wont get a worse deal than at the store. *A theorem descends from heaven* Duality Theorem: You have summoned me! Max and Moritz in unison: To what do we owe the pleasure?!! Duality Theorem: From my heavenly vantage point I can see that Max's maximization problem of finding y is the dual problem of Moritz's minimization problem of finding x. In such cases I embody the proof that Max's price will always be equal or better than the best supermarket price Moritz can find! In your case it is exactly equal for there is a unique solution for x and a unique solution for y! Moritz: Thats pretty cool, my dog. Max: I might have to rethink my business model... *Everyone in the story disappears in a cloud of glitter as the author of this post becomes aware that they are procrastinating instead of studying for their exams.* |
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}zsikeupvoted (100.00%) @trilo / neural-decoding-with-deep-learning-project-motivation2017/12/31 08:16:03
zsikeupvoted (100.00%) @trilo / neural-decoding-with-deep-learning-project-motivation
2017/12/31 08:16:03
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}triloreceived 11.253 SBD, 12.541 SP author reward for @trilo / bayesian-inference-for-people-with-existential-angst2017/11/29 21:17:45
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}ferkolupvoted (100.00%) @trilo / re-lemouth-20171112t225552795z2017/11/29 20:49:06
ferkolupvoted (100.00%) @trilo / re-lemouth-20171112t225552795z
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}ferkolupvoted (100.00%) @trilo / encoding-model-basics-12017/11/29 20:42:57
ferkolupvoted (100.00%) @trilo / encoding-model-basics-1
2017/11/29 20:42:57
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}lafona-minerupvoted (20.00%) @trilo / bayesian-inference-for-people-with-existential-angst2017/11/26 01:36:03
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2017/11/25 23:04:51
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}2017/11/25 23:04:33
2017/11/25 23:04:33
| parent author | trilo |
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| title | |
| body | Thanks. I hope some of it was beneficial. The devil is usually in the details on projects like this, so the sooner you can confront potential traps, the better. Re: matrices versus vectors: I tend to use the term "matrix" more since I always keep the numbers in that form until a matrix multiplication operation is required, then I unroll and roll the matrix as needed to use the optimized multiplication algorithm. Re: colors: If the inputs to the CNN are photos of real world objects, I would go with the multi-channel approach, because it's the closest thing to be inspired from biology. We have separate cones in the eyes for reds, greens, and blues, while other living organisms have even more diversity, adding cones from UV light and polarized light (useful for seeing underwater). If the retinal neural cells combine the inputs from the different cones, that's one thing, but I don't think they do. That said, I think the situation changes if the inputs to the CNN are fMRI images. Don't they basically contain false colors to indicate some level of intensity? If that's the case, I would expect grayscale encoding to work. Re: temporal characteristic of fMRI data: I was just going by personal experience. I underwent a brain MRI scan once, and it took 10 minutes. But the stats on the Wikipedia page you cited doesn't give me much confidence. I suspect that current techniques are not capturing a large amount of neural activations. Re: filtering out neural activations in the fMRI image that represent undesired sensory inputs: I understand your response, but just be aware that this might be a matter of relevance, not noise. If the noise follows a particular pattern, the CNN may wrongly incorporate that pattern into its predictions. Think of the old experiment that classified tanks from cars, and failed, because all the photos of cars were taken on sunny days, and all the photos of tanks were taken on cloudy days. The CNN in that experiment started focusing on the sky color as a feature, rather than treating it as irrelevant data. It wasn't noise from the classic sense (from information theory and communication channels), because it was deterministic and not random (although that was an unfortunate coincidence). From another perspective, this problem seems a lot like an NLP experiment that attempts to separate simultaneous conversations at a party where a number of microphones scattered among the crowd are recording voices. Incidentally, a Kaggle competition from a while ago used brain fMRI data. It might be useful to track down the winner of that competition and ask about the approach he or she took. |
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"body": "Thanks. I hope some of it was beneficial. The devil is usually in the details on projects like this, so the sooner you can confront potential traps, the better. \n\nRe: matrices versus vectors: I tend to use the term \"matrix\" more since I always keep the numbers in that form until a matrix multiplication operation is required, then I unroll and roll the matrix as needed to use the optimized multiplication algorithm. \n\nRe: colors: If the inputs to the CNN are photos of real world objects, I would go with the multi-channel approach, because it's the closest thing to be inspired from biology. We have separate cones in the eyes for reds, greens, and blues, while other living organisms have even more diversity, adding cones from UV light and polarized light (useful for seeing underwater). If the retinal neural cells combine the inputs from the different cones, that's one thing, but I don't think they do. That said, I think the situation changes if the inputs to the CNN are fMRI images. Don't they basically contain false colors to indicate some level of intensity? If that's the case, I would expect grayscale encoding to work.\n\nRe: temporal characteristic of fMRI data: I was just going by personal experience. I underwent a brain MRI scan once, and it took 10 minutes. But the stats on the Wikipedia page you cited doesn't give me much confidence. I suspect that current techniques are not capturing a large amount of neural activations. \n\nRe: filtering out neural activations in the fMRI image that represent undesired sensory inputs: I understand your response, but just be aware that this might be a matter of relevance, not noise. If the noise follows a particular pattern, the CNN may wrongly incorporate that pattern into its predictions. Think of the old experiment that classified tanks from cars, and failed, because all the photos of cars were taken on sunny days, and all the photos of tanks were taken on cloudy days. The CNN in that experiment started focusing on the sky color as a feature, rather than treating it as irrelevant data. It wasn't noise from the classic sense (from information theory and communication channels), because it was deterministic and not random (although that was an unfortunate coincidence). From another perspective, this problem seems a lot like an NLP experiment that attempts to separate simultaneous conversations at a party where a number of microphones scattered among the crowd are recording voices. \n\nIncidentally, a Kaggle competition from a while ago used brain fMRI data. It might be useful to track down the winner of that competition and ask about the approach he or she took.",
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}suesaupvoted (25.00%) @trilo / bayesian-inference-for-people-with-existential-angst2017/11/24 16:43:39
suesaupvoted (25.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/24 16:43:39
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2017/11/24 11:27:45
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biuiamupvoted (40.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/24 07:18:00
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2017/11/24 00:34:27
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cryptoninjaupvoted (4.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 14:14:51
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2017/11/23 14:14:36
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2017/11/23 14:14:36
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2017/11/23 14:14:33
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himalupvoted (40.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 14:14:30
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2017/11/23 14:14:27
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kerriknoxupvoted (40.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 14:14:27
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2017/11/23 14:14:24
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sci-guyupvoted (80.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 14:14:21
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2017/11/23 14:14:21
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graupvoted (80.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 14:14:18
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2017/11/23 14:14:15
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2017/11/23 14:14:12
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2017/11/23 14:14:09
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2017/11/23 14:14:09
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trumpmanupvoted (40.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 14:14:06
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lamoutheupvoted (40.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 14:14:06
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2017/11/23 14:14:03
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2017/11/23 14:14:03
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arconiteupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:53:30
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phunkeupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:53:12
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diggerduggupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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barrieupvoted (4.80%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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oleg326756upvoted (0.60%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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cebymasterupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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bp423upvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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oscarcc89upvoted (0.60%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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toxichanupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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pacokam8upvoted (1.20%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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cotidianaupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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piyasmarty121287upvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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spectrumeconsupvoted (0.60%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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boombasticupvoted (3.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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raymondspeaksupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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}dejan.vuckovicupvoted (0.60%) @trilo / bayesian-inference-for-people-with-existential-angst2017/11/23 13:51:57
dejan.vuckovicupvoted (0.60%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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steemediaupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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kouloumosupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:57
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arconiteupvoted (5.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:51:12
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ceepeeupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:50:45
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}kevinwongupvoted (5.00%) @trilo / bayesian-inference-for-people-with-existential-angst2017/11/23 13:50:42
kevinwongupvoted (5.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:50:42
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}randyclemensupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst2017/11/23 13:50:39
randyclemensupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:50:39
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ttopswagupvoted (6.00%) @trilo / bayesian-inference-for-people-with-existential-angst
2017/11/23 13:50:36
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2017/11/23 13:50:36
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2017/11/23 13:50:33
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2017/11/23 13:50:33
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2017/11/23 13:50:27
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2017/11/23 13:50:12
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2017/11/23 13:50:12
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